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What is the value of r if r^n = a?
What is the value of a^(1/n)?
What is the value of a^(-1/n)?
What is the purpose of rationalising the denominator?
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What is the result of multiplying √(a) and √(b)?
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What is the result of dividing √(a) by √(b)?
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What is the result of raising √(a) to the power of m?
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What is the power of a power rule in exponentiation?
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What is the definition of a negative exponent?
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What is the purpose of rationalizing denominators?
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What is the first step in solving a surd equation?
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What is the purpose of checking solutions in surd equations?
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What is the formula for exponential growth and decay?
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What is the purpose of compound interest in finance?
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What is the definition of a fractional exponent?
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What is the purpose of writing surds in exponential notation?
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What is the formula for solving quadratic surd equations?
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What is the first step in identifying the variables in an exponential growth or decay problem?
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What is the nature of the roots of a quadratic equation if the discriminant Δ is less than 0?
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What is the set of whole numbers represented by?
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What is the formula for the discriminant Δ of a quadratic equation in standard form?
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What is the formula for a⁻ⁿ?
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What is the first step in solving a quadratic inequality?
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What is the purpose of completing the square in solving quadratic equations?
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What is the formula for solving quadratic equations of the form ax² + bx + c = 0?
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What is the purpose of a table of signs in solving quadratic inequalities?
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What is the graphical representation of a quadratic function used for in solving quadratic inequalities?
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What is the result of a⁰, where a ≠ 0?
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What is the restriction to consider when solving inequalities with fractions?
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What is the notation for the set of rational numbers?
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What is the number of independent equations required to solve for n unknown variables?
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What is the purpose of converting percentages to decimal form in exponential growth or decay problems?
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What is the first step in solving a quadratic equation using the method of completing the square?
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What method is mostly used for solving systems of simultaneous equations with linear and non-linear equations?
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What is the result of √(aⁿ), where n is a positive integer?
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What is the purpose of the critical values in solving quadratic inequalities?
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What is the general method for solving quadratic inequalities?
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What is the formula to determine the roots of a quadratic equation?
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What type of roots does a quadratic equation have when b^2 - 4ac = 0?
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What is the purpose of making a substitution in solving quadratic equations?
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What is the first step in solving a quadratic equation by substitution?
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How can you determine the original quadratic equation given its roots?
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What is the discriminant of a quadratic equation?
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What type of roots does a quadratic equation have when Δ < 0?
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What type of roots does a quadratic equation have when Δ = 0?
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What is the condition for a quadratic equation to have two distinct real roots?
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What happens when Δ is a perfect square in a quadratic equation?
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What is the first step in solving a system of equations using the substitution method?
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What is the purpose of solving word problems?
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What is the definition of a quadratic sequence?
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What is the general form of the nth term of a quadratic sequence?
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What is the effect of q > 0 on a parabolic function?
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What is the first step in solving a system of equations using the elimination method?
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What is the final step in solving a word problem?
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What is the purpose of finding the general term of a quadratic sequence?
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What is the effect of a > 0 on the graph of f(x)?
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What is the domain of the function f(x)?
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What is the axis of symmetry of the graph of f(x)?
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What is the turning point of the graph of f(x)?
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What is the range of the function f(x) when a > 0?
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What is the formula to shift the graph of f(x) to the right by m units?
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What is the formula to calculate the average gradient of a curve?
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What is the method to find the equation of a parabola from the graph?
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What is the formula for the average gradient of a curve?
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What is the effect of q on the graph of y = a/x + q?
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What is the vertical asymptote of the graph of y = a/(x + p) + q?
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What is the domain of the function y = a/(x + p) + q?
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What is the effect of a on the shape of the graph of y = a/x + q?
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What is the formula for the hyperbolic function of the form y = a/(x + p) + q?
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What is the horizontal asymptote of the graph of y = a/(x + p) + q?
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What is the effect of p on the graph of y = a/(x + p) + q?
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What is the axes of symmetry of the graph of y = a/(x + p) + q?
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What is the effect of a on the shape of the graph of y = ab^x + q?
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What happens to the graph of y = ab^(x+p) + q when p > 0?
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What is the range of the function y = ab^(x+p) + q when a > 0?
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What is the effect of a change in q on the graph of y = ab^(x+p) + q?
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What is the formula for simple depreciation?
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What is the characteristic of the depreciation amount in simple depreciation?
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What is the formula for compound depreciation?
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What is the effect of compounding more than once a year on an investment?
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What is the purpose of using timelines in finance?
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What happens to the depreciation amount in compound depreciation?
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What is the first step in calculating the accumulated value of an investment?
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What is the formula for calculating compound interest?
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What is the formula for the probability of three events A, B, and C occurring?
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What is the purpose of calculating the accumulated value at the end of each segment?
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What is the condition for two events to be independent?
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What is the purpose of a tree diagram?
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What is the formula for calculating the effective interest rate?
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What is the definition of independent events?
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What is the formula for the probability of a path in a tree diagram?
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What is the formula for calculating the probability of two independent events?
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What is the purpose of a two-way contingency table?
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What is the purpose of using Venn diagrams?
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What is the formula for the conditional probability of an event A given event B?
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What is the condition for two events to be mutually exclusive?
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What is the definition of conditional probability?
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What is the purpose of the independence test in a contingency table?
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What is the formula for calculating the conditional probability of event A given event B?
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What is the formula for the probability of two events A and B occurring in a contingency table?
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What is the definition of a rational number?
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What is the value of a^(1/n) where a > 0 and n is a positive integer?
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What is the purpose of simplifying surds?
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What is the result of multiplying √(a) and √(b)?
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What is the definition of a surd?
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What is the purpose of rationalizing the denominator?
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What is the result of a^(m/n) where a > 0, m and n are integers, and n ≠ 0?
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What is the law of exponents that states a^m × a^n = a^(m+n)?
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What is the power of a power rule in exponentiation?
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What is the purpose of rationalising the denominator in surd equations?
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What is the formula for solving exponential growth and decay problems?
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What is the purpose of writing surds in exponential notation?
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What is the first step in solving a surd equation?
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What is the purpose of checking solutions in surd equations?
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What is the result of a^0, where a ≠ 0?
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What is the purpose of solving exponential problems?
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What is the definition of a fractional exponent?
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What is the purpose of applying exponent laws in solving surd equations?
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What is the formula for the average gradient of a curve f(x) with points P(a, f(a)) and Q(a + h, f(a + h))?
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What is the effect of q on the graph of a hyperbolic function y = a/x + q?
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What is the range of the function y = a/(x + p) + q?
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What is the effect of p on the graph of a hyperbolic function y = a/(x + p) + q?
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What is the formula for the vertical asymptote of a hyperbolic function y = a/(x + p) + q?
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What is the axes of symmetry of a hyperbola in the form y = a/(x + p) + q?
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What is the effect of a on the shape of a hyperbolic function y = a/x + q?
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What is the effect of q on the graph of an exponential function y = ab^x + q?
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What is the horizontal asymptote of an exponential function y = ab^x + q?
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What is the formula for determining the roots of a quadratic equation?
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What is the condition for a quadratic equation to have real and distinct roots?
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What is the purpose of making a substitution in solving quadratic equations?
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What is the first step in identifying the variables in an exponential growth or decay problem?
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What type of roots does a quadratic equation have when Δ = 0?
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What is the purpose of completing the square in solving quadratic equations?
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What is the set of real numbers represented by?
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What is the step to find the original quadratic equation given its roots?
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What is the formula for solving quadratic equations of the form ax² + bx + c = 0?
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What is the purpose of identifying restrictions in solving quadratic equations by substitution?
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What is the effect of the parameter b on the direction of the function f(x) if a > 0?
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What is the effect of a change in the parameter p on the graph of y = ab^(x+p) + q?
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What happens when Δ is a perfect square in a quadratic equation?
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What is the result of a⁰, where a ≠ 0?
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What is the purpose of converting percentages to decimal form in exponential growth or decay problems?
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What is the range of the function y = ab^(x+p) + q if a > 0?
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What type of roots does a quadratic equation have when Δ < 0?
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What is the formula for simple depreciation?
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What is the first step in solving a quadratic equation by substitution?
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What is the condition for a quadratic equation to have two distinct real roots?
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What is the formula for the discriminant Δ of a quadratic equation in standard form?
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What is the characteristic of compound depreciation?
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What is the notation for the set of irrational numbers?
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What is the purpose of using timelines in finance?
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What is the method used to solve quadratic equations by rewriting them in the form of a perfect square trinomial?
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What is the purpose of the quadratic formula?
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How is the interest rate adjusted when compounding occurs more than once a year?
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What is the horizontal asymptote of the function y = ab^(x+p) + q?
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What is the difference between simple and compound depreciation?
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What is the formula for compound depreciation?
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What is the nature of the roots of a quadratic equation if the discriminant Δ is greater than 0?
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What is the purpose of determining the critical values in solving quadratic inequalities?
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What is the formula for calculating the discriminant Δ of a quadratic equation in standard form?
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What is the general method for solving quadratic inequalities?
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What is the purpose of creating a table of signs in solving quadratic inequalities?
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What is the result of solving a quadratic equation with a discriminant Δ equal to 0?
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What is the method mostly used for solving systems of simultaneous equations with linear and non-linear equations?
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What is the restriction to consider when solving inequalities with fractions?
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What is the purpose of graphing the quadratic function in solving quadratic inequalities?
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What is the number of independent equations required to solve for n unknown variables?
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What is the purpose of making a substitution in solving quadratic equations?
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What is the result of the second difference between any two consecutive terms in a quadratic sequence?
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What is the purpose of solving systems of equations?
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What is the general form of a quadratic sequence?
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What is the effect of q on the graph of a parabolic function y = ax^2 + q?
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What is the effect of a on the shape of the graph of f(x) = a(x + p)^2 + q?
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What is the effect of p on the graph of f(x) = a(x + p)^2 + q?
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What is the range of the graph of f(x) = a(x + p)^2 + q if a > 0?
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What is the turning point of the graph of f(x) = a(x + p)^2 + q?
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What is the axis of symmetry of the graph of f(x) = a(x + p)^2 + q?
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What is the formula for the average gradient of a curve between two points?
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What is the purpose of shifting the equation of a parabola?
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How do you find the equation of a parabola from the graph?
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What is the effect of a horizontal shift on the graph of f(x) = a(x + p)^2 + q?
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What is the effect of a vertical shift on the graph of f(x) = a(x + p)^2 + q?
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What is the formula for the probability of three events A, B, and C occurring?
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What are events that cannot occur simultaneously?
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What is the purpose of a tree diagram?
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What is the formula for the probability of two independent events A and B occurring?
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What is the purpose of a contingency table?
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What is the formula for the probability of an event A given event B?
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What is the condition for two events A and B to be independent?
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What is the purpose of determining a specific path in a tree diagram?
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What is the formula for the probability of an event A?
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What is the purpose of calculating the sum of probabilities in a tree diagram?
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What is the formula for calculating the accumulated value in compound interest?
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What is the purpose of breaking down periods in compound interest calculations?
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What is the formula for calculating the effective interest rate?
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What is the difference between independent and dependent events?
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What is the formula for the probability of two independent events?
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What is the purpose of Venn diagrams?
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What is the formula for the probability of two mutually exclusive events?
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What is the concept of conditional probability?
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What is the formula for calculating the accumulated value in simple interest?
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What is the difference between nominal and effective interest rates?
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What is the value of a^(m/n) when a > 0 and m, n are integers?
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What is the purpose of rationalising the denominator?
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What is the result of (√a)^m when a > 0 and m is an integer?
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What is the definition of a surd?
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What is the property of ∏(a) × ∏(b)?
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What is the radical symbol ∏(a) equivalent to?
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What is the law of exponents for the quotient of powers?
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What is the result of ∏(a^m)?
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What is the primary goal when solving equations involving surds?
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What is the purpose of writing surds in exponential notation?
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What is the result of raising both sides of an equation to the power corresponding to the root?
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What is the formula for exponential growth and decay?
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What is the purpose of solving surd equations?
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What is the result of applying the power of a power rule in exponentiation?
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What is the purpose of checking solutions in surd equations?
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What is the result of applying the negative exponent rule in exponentiation?
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What is the purpose of rationalizing denominators?
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What is the nature of exponential growth and decay models?
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What is the formula for determining the roots of a quadratic equation in the form ax^2 + bx + c = 0?
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What is the condition for a quadratic equation to have real and distinct roots?
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What is the purpose of making a substitution in solving quadratic equations?
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How can you determine the original quadratic equation given its roots?
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What is the nature of the roots of a quadratic equation when the discriminant Δ is less than 0?
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What is the first step in solving a quadratic equation by substitution?
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What happens when the discriminant Δ is a perfect square in a quadratic equation?
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What is the purpose of finding the discriminant of a quadratic equation?
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What is the nature of the roots of a quadratic equation if the discriminant Δ is greater than 0?
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What is the formula to calculate the discriminant Δ of a quadratic equation in standard form?
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What type of roots does a quadratic equation have when Δ = 0?
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What is the purpose of factorizing the quadratic expression in solving quadratic inequalities?
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What is the condition for a quadratic equation to have real and equal roots?
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What is the graphical representation of a quadratic function used for in solving quadratic inequalities?
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What is the purpose of creating a table of signs in solving quadratic inequalities?
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What is the restriction to consider when solving inequalities with fractions?
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What method is mostly used for solving systems of simultaneous equations with linear and non-linear equations?
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What is the number of independent equations required to solve for n unknown variables?
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What is the purpose of completing the square in solving quadratic equations?
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What is the general method for solving quadratic inequalities?
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What is the first step in solving a system of linear equations using the substitution method?
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What is the purpose of solving word problems?
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What is the definition of a quadratic sequence?
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What is the effect of q on the graph of y = ax^2 + q?
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What is the first step in solving a quadratic equation using the elimination method?
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What is the purpose of assigning variables to the unknown quantities in a word problem?
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What is the general form of a quadratic sequence?
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What is the purpose of solving simultaneous equations?
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What is the result of solving a system of linear equations using the substitution method?
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What is the purpose of translating the words into algebraic expressions in a word problem?
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What is the effect of a parameter p on the graph of y = a(x + p)^2 + q?
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What is the range of the graph of f(x) = a(x + p)^2 + q when a > 0?
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What is the turning point of the graph of f(x) = a(x - p)^2 + q?
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What is the axis of symmetry of the graph of f(x) = a(x + p)^2 + q?
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What is the effect of a horizontal shift on the graph of y = a(x + p)^2 + q?
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What is the formula for calculating the average gradient between two points on a curve?
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What is the effect of a vertical shift on the graph of y = a(x + p)^2 + q?
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What is the purpose of sketching the graph of a quadratic function?
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What is the domain of the graph of y = a(x + p)^2 + q?
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What is the effect of a on the shape of the graph of y = a(x + p)^2 + q?
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What is the purpose of completing the square in solving quadratic equations?
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What is the formula for solving quadratic equations of the form ax^2 + bx + c = 0?
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What is the result of a^0, where a ≠ 0?
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What is the set of rational numbers represented by?
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What is the purpose of converting percentages to decimal form in exponential growth or decay problems?
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What is the definition of a quadratic equation?
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What is the formula for the discriminant Δ of a quadratic equation in standard form?
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What is the result of √(a^n), where n is a positive integer?
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What is the nature of the roots of a quadratic equation if the discriminant Δ is less than 0?
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What is the purpose of identifying the variables in an exponential growth or decay problem?
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What is the average gradient of the curve at point P when h = 0?
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What is the horizontal asymptote of the hyperbolic function y = a/x + q?
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What is the effect of a change in p on the graph of the hyperbolic function y = a/(x + p) + q?
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What is the domain of the hyperbolic function y = a/(x + p) + q?
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What is the range of the hyperbolic function y = a/(x + p) + q?
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What is the axes of symmetry of the hyperbolic function y = a/(x + p) + q?
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If b > 1, what is the effect on the function f(x)?
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What is the effect of a on the shape of the exponential function y = ab^x + q?
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What is the effect of a change in p on the graph of y = ab^(x+p) + q?
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What is the range of y = ab^(x+p) + q when a > 0?
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What is the effect of q on the graph of the exponential function y = ab^x + q?
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What is the horizontal asymptote of the exponential function y = ab^x + q?
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What is the formula for simple depreciation?
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What is the purpose of finding the axes of symmetry of a hyperbolic function?
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What is the effect of compound depreciation on the depreciation amount?
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What is the purpose of using timelines in finance?
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What is the effect of a change in q on the graph of y = ab^(x+p) + q?
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What is the horizontal asymptote of the graph of y = ab^(x+p) + q?
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What is the formula to find the annual depreciation rate (i) for compound decay?
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What is the effect of compounding more than once a year on the interest rate?
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What is the formula for calculating the accumulated value in compound interest?
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What is the purpose of breaking down periods in compound interest calculations?
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What is the formula for calculating the effective interest rate?
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What is the definition of independent events in probability?
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What is the formula for calculating the probability of two independent events?
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What is the purpose of using Venn diagrams in probability?
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What is the formula for calculating the union of two events?
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What is the formula for calculating the conditional probability of an event?
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What is the definition of mutually exclusive events in probability?
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What is the formula for calculating the probability of two mutually exclusive events?
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What is the formula for the general addition rule for three events?
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What is the definition of mutually exclusive events?
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What is the purpose of a tree diagram?
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What is the formula for the probability of a path in a tree diagram?
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What is the purpose of a contingency table?
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What is the formula for the conditional probability P(A|B) ?
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What is the definition of independent events?
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What is the formula for the probability of two independent events A and B?
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What is the purpose of calculating the probability of an event using a tree diagram?
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What is the definition of a dependent event?
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What is the value of $a^{rac{m}{n}}$?
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What is the purpose of rationalising the denominator?
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What is the value of $a^{-rac{1}{n}}$?
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What is the definition of a surd?
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What is the result of multiplying $\sqrt[n]{a}$ and $\sqrt[n]{b}$?
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What is the value of $\sqrt[n]{a^m}$?
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What is the purpose of the laws of exponents?
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What is the result of raising $\sqrt[n]{a}$ to the power of $m$?
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What is the purpose of converting surds to exponential notation?
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What is the main goal when solving surd equations?
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What is the formula for exponential growth or decay?
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What should you do after eliminating the surd in a surd equation?
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Why do you need to check the solution in a surd equation?
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What is the purpose of rationalizing the denominator in a surd expression?
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What is the result of raising both sides of a surd equation to the power corresponding to the root?
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What is the purpose of applying the rules of exponents in surd equations?
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What is the result of substituting a solution back into the original surd equation?
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What is the purpose of factorizing in solving quadratic surd equations?
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What is the purpose of completing the square in solving quadratic equations?
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What is the formula for exponential growth and decay?
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What is the result of a^0, where a ≠ 0?
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What is the purpose of converting percentages to decimal form in exponential growth or decay problems?
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What is the definition of a quadratic equation?
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What is the quadratic formula?
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What is the purpose of the quadratic formula?
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What is the definition of a rational exponent?
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What is the purpose of simplifying surds?
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What is the definition of a surd?
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What is the quadratic formula used to determine?
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What does the discriminant Δ represent in a quadratic equation?
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What is the condition for a quadratic equation to have two distinct real roots?
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What is the purpose of making a substitution in solving quadratic equations?
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What is the first step in solving a quadratic equation by substitution?
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What happens when Δ is a perfect square in a quadratic equation?
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What is the formula for the discriminant Δ of a quadratic equation in standard form?
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What is the nature of the roots of a quadratic equation when Δ = 0?
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What is the purpose of finding the quadratic equation given its roots?
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What is the formula for the roots of a quadratic equation in standard form?
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What is the nature of the roots of a quadratic equation if the discriminant Δ is equal to 0?
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What is the formula for the discriminant Δ of a quadratic equation in standard form?
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What is the purpose of completing a table of signs in solving quadratic inequalities?
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What is the method mostly used for solving systems of simultaneous equations with linear and non-linear equations?
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What is the general method for solving quadratic inequalities?
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What is the condition for a quadratic equation to have two distinct real roots?
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What happens when Δ is a perfect square in a quadratic equation?
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What is the purpose of the critical values in solving quadratic inequalities?
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What is the first step in solving a quadratic inequality?
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What is the purpose of considering restrictions when solving inequalities with fractions?
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What happens to the graph of f(x) = a(x + p)^2 + q when a > 0?
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What is the first step in solving a system of linear equations using the substitution method?
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What is the effect of p on the graph of f(x) = a(x + p)^2 + q?
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What is the domain of the function f(x) = a(x + p)^2 + q?
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What is the main purpose of using mathematical models to solve real-world problems?
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What is the definition of a quadratic sequence?
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What is the axis of symmetry for the function f(x) = a(x + p)^2 + q?
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What is the purpose of setting up a system of equations to solve a word problem?
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What is the range of the function f(x) = a(x + p)^2 + q when a > 0?
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What is the result of shifting the graph of y = ax^2 vertically upwards by q units?
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How do you find the y-intercept of the function f(x) = a(x + p)^2 + q?
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What is the turning point of the function f(x) = a(x + p)^2 + q?
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What is the purpose of solving systems of linear equations?
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What is the formula for the average gradient of a curve?
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What is the formula for the average gradient of a curve between two points A and C?
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What is the effect of a change in q on the graph of y = a/x + q?
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What is the general form of a quadratic sequence?
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What is the first step in solving a word problem using mathematical models?
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What is the vertical asymptote of the graph of y = a/(x + p) + q?
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What is the purpose of shifting the equation of a parabola?
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What is the purpose of solving systems of linear equations graphically?
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What is the domain of the function y = a/(x + p) + q?
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What is the formula for finding the equation of a parabola from the graph?
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What is the condition for a quadratic equation to have two distinct real roots?
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What is the effect of a change in a on the shape of the graph of y = a/x + q?
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What is the effect of a change in p on the graph of y = a/(x + p) + q?
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What is the range of the function y = ab^x + q?
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What is the effect of a change in q on the graph of y = ab^x + q?
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What is the effect of a change in a on the shape of the graph of y = ab^x + q?
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What are the axes of symmetry of the graph of y = a/(x + p) + q?
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What is the effect of b on the direction of the graph of f(x) = ab^x when a > 0?
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What happens to the graph of f(x) = ab^(x+p) + q when p > 0?
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What is the range of the graph of f(x) = ab^x + q when a > 0?
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What type of depreciation reduces the value of an asset by a constant amount each year?
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What is the formula for compound depreciation?
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What is the purpose of using timelines in finance?
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What happens when an investment is compounded more than once a year?
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What is the horizontal asymptote of the graph of f(x) = ab^x + q?
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What is the domain of the graph of f(x) = ab^x + q?
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What is the formula for simple depreciation?
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What is the purpose of breaking down periods in compound interest calculations?
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What is the formula for compound interest?
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What is the difference between nominal and effective interest rates?
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What is the formula for independent events?
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What is the purpose of the addition rule for mutually exclusive events?
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What is the definition of conditional probability?
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What is the formula for the effective interest rate?
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What is the purpose of Venn diagrams in probability?
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What is the definition of dependent events?
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What is the addition rule for non-mutually exclusive events?
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What is the formula for the probability of the union of three events A, B, and C?
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What is the definition of mutually exclusive events?
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What is the purpose of a tree diagram?
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What is the formula for the probability of two independent events A and B?
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What is the structure of a two-way contingency table?
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What is the formula for the probability of an event A given event B?
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What is the purpose of a contingency table?
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What is the formula for the probability of a specific path in a tree diagram?
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What is the purpose of calculating the probability of a desired outcome in a tree diagram?
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What is the condition for two events A and B to be independent?
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