Podcast
Questions and Answers
What is the GCD of 48 and 180?
What is the GCD of 48 and 180?
- 12 (correct)
- 18
- 24
- 36
Which of the following represents the correct order of operations?
Which of the following represents the correct order of operations?
- Parentheses, Exponents, Multiply and Divide, Add and Subtract (correct)
- Multiply, Add, Subtract, Divide
- Add, Multiply, Divide, Subtract
- Subtract, Add, Multiply, Exponents
Which expression represents the binomial expansion of $(x + 2)^3$?
Which expression represents the binomial expansion of $(x + 2)^3$?
- $x^3 + 3x^2 + 6x + 8$
- $x^3 + 2x^2 + 4x + 8$
- $x^3 + 6x^2 + 12x + 8$ (correct)
- $x^3 + 3x + 6$
What is the solution set of the inequality $2x + 3 < 7$?
What is the solution set of the inequality $2x + 3 < 7$?
Which of the following is true regarding rational expressions?
Which of the following is true regarding rational expressions?
What is the degree of the polynomial $4x^3 - 5x^2 + 2$?
What is the degree of the polynomial $4x^3 - 5x^2 + 2$?
Which inequality represents the solution of $|x - 4| < 3$?
Which inequality represents the solution of $|x - 4| < 3$?
If $f(x) = 2x + 3$ and $g(x) = x^2$, what is $f(g(2))$?
If $f(x) = 2x + 3$ and $g(x) = x^2$, what is $f(g(2))$?
Flashcards
Open and Closed Intervals
Open and Closed Intervals
Represents a set of numbers between two endpoints, excluding either or both endpoints. For example, (2, 5] represents all numbers between 2 and 5, excluding 2 but including 5.
Domain of Equations/Formulas
Domain of Equations/Formulas
The set of all possible input values for a function or equation. These are the x-values that give a defined output.
Elimination Method
Elimination Method
A method to solve systems of equations where we add or subtract equations to eliminate one variable.
Substitution Method
Substitution Method
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Quadratic Equations
Quadratic Equations
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Completing the Square
Completing the Square
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Quadratic Formula
Quadratic Formula
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Function
Function
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Study Notes
MPT1 Assessment Topics
- PreAlgebra:
- Operations with whole numbers
- Factors, prime factorization, greatest common divisor (GCD), least common multiple (LCM)
- Fractions/rational numbers
- Decimal numbers
- Rounding
- Percentages
- Algebra Essentials:
- Order of operations
- Algebraic properties of operations
- Algebraic expressions/formulas
- Word problems/applications
- Exponents:
- Rules of exponents (integer exponents)
- Rational exponents and radical notation
- Simplifying exponential expressions
- Rationalizing
- Pythagorean theorem
- Polynomials:
- Leading term, leading coefficient, constant term, and degree
- Operations with polynomials, simplifying polynomial expressions
- Binomial expansion
- Difference of squares and difference of cubes formulas
- Factoring quadratic formulas
- Factoring by grouping
- Rational Expressions
- Word Problems/Modeling:
- Common perimeter, area, and volume formulas from geometry
- Similar triangles
- Percentage calculations
- Average of numbers
- Translating word problems into mathematical problems
- Interval Notation:
- Open and closed intervals
- Union and intersections of intervals
- Domain of Equations/Formulas
- Solving Equations:
- Linear equations in one variable
- Linear equations in two variables
- Systems of linear equations
- Elimination method
- Substitution method
- Quadratic Equations:
- Solving by factoring
- Solving by completing the square
- Solving by the quadratic formula
- Equations involving radicals
- Equations involving absolute value
- Graphs of equations
- Solving Inequalities:
- Algebraic properties of inequalities
- Linear inequalities
- Absolute value inequalities
- Other inequalities
- Sign chart of formulas
- Graphs of inequalities
- Functions:
- Functions given as tables of values
- Functions given by algebraic formulas (single or multiple formulas)
- Natural domain and range
- Evaluating output given input
- Finding inputs given output
- Algebraic operations between functions
- Composition of functions
- Decomposition of functions
- Inverses of functions
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Description
This quiz covers essential topics in PreAlgebra and Algebra, including operations with whole numbers, factors, percentages, polynomials, and exponents. Additionally, it addresses word problems and various applications of algebraic principles. Test your understanding and problem-solving skills in these fundamental areas of mathematics.
