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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