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Questions and Answers
What is the result of the expression $5 - 4[3 - 6(2 \cdot 3 - 12 \div 4)]$?
What is the result of the expression $5 - 4[3 - 6(2 \cdot 3 - 12 \div 4)]$?
Is the statement |a - b| = |b - a| true for any real numbers a and b?
Is the statement |a - b| = |b - a| true for any real numbers a and b?
Are all integers considered rational numbers?
Are all integers considered rational numbers?
How can the expression $x^2 - y^2$ be factored?
How can the expression $x^2 - y^2$ be factored?
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Is the binomial $a + 4b$ factorable?
Is the binomial $a + 4b$ factorable?
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What is the complete solution of the inequality $x > 4$?
What is the complete solution of the inequality $x > 4$?
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What type of relation is defined as a function?
What type of relation is defined as a function?
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What is the value of $\sqrt{8x^3}$ simplified?
What is the value of $\sqrt{8x^3}$ simplified?
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What is the critical value used in the inequality analysis?
What is the critical value used in the inequality analysis?
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Which of the following intervals contains positive values in the Table of Signs?
Which of the following intervals contains positive values in the Table of Signs?
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What does the set notation for the solution of the inequality include?
What does the set notation for the solution of the inequality include?
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What is the simplified form of the expression $\frac{1}{1 + \frac{1}{1 + 2 + x}}$?
What is the simplified form of the expression $\frac{1}{1 + \frac{1}{1 + 2 + x}}$?
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What is the domain of the function defined by the expression $\frac{1}{1 + \frac{1}{1 + 2 + x}}$?
What is the domain of the function defined by the expression $\frac{1}{1 + \frac{1}{1 + 2 + x}}$?
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What is $f(1)$ for the function $f(x) = 3x^2 - x - 5$?
What is $f(1)$ for the function $f(x) = 3x^2 - x - 5$?
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What is the result of $f(2)$ for $f(x) = 3x^2 - x - 5$?
What is the result of $f(2)$ for $f(x) = 3x^2 - x - 5$?
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What is $g(-1)$ for the function $g(x) = 2 - 3x$?
What is $g(-1)$ for the function $g(x) = 2 - 3x$?
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What is the correct expression for $f + g$ where $f(x) = 3x^2 - x - 5$ and $g(x) = 2 - 3x$?
What is the correct expression for $f + g$ where $f(x) = 3x^2 - x - 5$ and $g(x) = 2 - 3x$?
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What is the value of $(f imes g)(-1)$?
What is the value of $(f imes g)(-1)$?
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What is the value of $f(g(2))$?
What is the value of $f(g(2))$?
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What expression represents $(f - g)(1)$?
What expression represents $(f - g)(1)$?
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What is the fully factored form of the expression 10z³ - 15z² - 4z + 6?
What is the fully factored form of the expression 10z³ - 15z² - 4z + 6?
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Which expression represents the simplified form of 7(y² - 1) / (y(y + 1)(y + 8))?
Which expression represents the simplified form of 7(y² - 1) / (y(y + 1)(y + 8))?
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What is the domain for the expression resulting from the simplification of 7(y² - 1) / (y(y + 1)(y + 8))?
What is the domain for the expression resulting from the simplification of 7(y² - 1) / (y(y + 1)(y + 8))?
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What is the result of this binomial expansion: (c³ + 4b²)³?
What is the result of this binomial expansion: (c³ + 4b²)³?
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Which factorization is correct for the expression 2a⁶ - 128?
Which factorization is correct for the expression 2a⁶ - 128?
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What is the final simplified result of the expression after factoring 10z³ - 15z² - 4z + 6?
What is the final simplified result of the expression after factoring 10z³ - 15z² - 4z + 6?
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In the expression 2z - 3, what is the meaning of the number 3?
In the expression 2z - 3, what is the meaning of the number 3?
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What is a common mistake made when factoring 10z³ - 15z² - 4z + 6?
What is a common mistake made when factoring 10z³ - 15z² - 4z + 6?
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What is the critical value of the inequality $2x + 3 \geq 0$?
What is the critical value of the inequality $2x + 3 \geq 0$?
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Which of the following is the correct interval notation for the solution of the inequality given?
Which of the following is the correct interval notation for the solution of the inequality given?
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In the Table of Signs, which sign corresponds to the interval $(−2, 0)$?
In the Table of Signs, which sign corresponds to the interval $(−2, 0)$?
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What is the solution in set notation for the inequality $x + 2 \leq 0$?
What is the solution in set notation for the inequality $x + 2 \leq 0$?
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What does the expression $3 > 2x + 3$ simplify to when solved for x?
What does the expression $3 > 2x + 3$ simplify to when solved for x?
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What is the range of x values for which the expression $2x + 3$ results in negative output based on the Table of Signs?
What is the range of x values for which the expression $2x + 3$ results in negative output based on the Table of Signs?
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Which of the following statements correctly interprets the critical value $x = -2$ for the inequality $x + 2 \leq 0$?
Which of the following statements correctly interprets the critical value $x = -2$ for the inequality $x + 2 \leq 0$?
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What is the result of the inequality analysis for $2x + 3 \geq 0$?
What is the result of the inequality analysis for $2x + 3 \geq 0$?
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Study Notes
Math Exam - MATH165 CO1
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Calculators not allowed: No calculators permitted during the exam.
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Scratch paper: Use the back pages as scratch paper.
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Ink only: Use black or blue ink.
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Cheating policy: Cheating will result in serious consequences.
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Knowledge/Understanding: True/False questions based on expressions, absolute values, integers, rational numbers, binomial expressions, and inequalities.
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Skills/Applications:
- Finding products: Use special products to find the products of expressions with square roots, cubes and variables.
- Factoring: Factor expressions.
- Simplifying expressions: Simplify algebraic expressions and equations.
- Domain determination: Find the domain of functions, which are all possible input values where the function is defined.
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Analysis:
- Inequalities solving: Solve inequalities and express the solution in set notation and interval notation.
- Graphing inequalities: Graph the solution to inequalities on a number line.
- Function evaluation: Evaluate composite functions and operations of functions (e.g addition, subtraction).
- Domain and range: Determine domains and ranges of functions based on their expressions.
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Description
Prepare for the MATH165 CO1 exam with this comprehensive quiz. It covers a range of topics including expressions, rational numbers, inequalities, and more. Test your skills in simplifying expressions, finding products, and solving inequalities.
