Question 1

Which of the following best defines an algebraic expression?

Accepted Answer

A combination of variables and numbers using the operations of addition, subtraction, multiplication, division, as well as powers or roots.

Question 2

Evaluate the expression $8 + 6(x - 3)^2$ for $x = 13$.

Accepted Answer

$368$

Question 3

What is the value of $2 + 3(x - 1)^2 - 4$ when $x = 3$?

Accepted Answer

$10$

Question 4

Which of the following is an example of an exponential expression?

Accepted Answer

$b^n$

Question 5

Given the formula $T = 4x^2 + 341x + 3194$ for the average cost of tuition and fees at public U.S. colleges, what is the value of $T$ for the school year ending in 2010?

Accepted Answer

$T = 7004$

Question 6

Simplify the expression $7(4x^2 + 3x) + 2(5x^2 + x)$.

Accepted Answer

$38x^2 + 23x$

Question 7

Which of the following best describes 'like terms' in an algebraic expression?

Accepted Answer

Terms that have exactly the same variable factors.

Question 8

Simplify the expression $6(2x^2 + 4x) + 10(4x^2 + 3x)$.

Accepted Answer

$52x^2 + 54x$

Question 9

Which of the following statements about mathematical models is correct?

Accepted Answer

A mathematical model is a formula that describes a real-world phenomenon using variables.

Question 10

If $x = 5$, what is the value of $3x^2 - 2x + 7$?

Accepted Answer

$68$

Question 11

Which of the following is the correct order of operations to evaluate $2 + 3(x - 1)^2 - 4$?

Accepted Answer

Parentheses, exponents, multiplication, addition/subtraction

Question 12

A formula is best described as:

Accepted Answer

An equation that uses variables to express a relationship between two or more quantities.

Question 13

If $x = 2$, what is the value of $5(x^2 + 2x) - 3$?

Accepted Answer

$21$

Question 14

Which of the following is NOT a step in simplifying an algebraic expression?

Accepted Answer

Multiplying all terms by zero

Question 15

A real-world scenario: The cost $C$ (in dollars) to produce $x$ units of a product is given by $C = 5x^2 + 20x + 100$. What is the cost to produce 10 units?

Accepted Answer

$700$

Order of Operations and Simplifying Algebraic Expressions

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