Question 1

Which of the following best describes the order of operations for evaluating the expression $$2 + 3 	imes 4^2$?

Accepted Answer

First square 4, then multiply by 3, then add 2.

Question 2

A student is solving the equation $$5x - 7 = 18. $$What is the value of $$x$$?

Accepted Answer

Question 3

Which of the following is the correct solution to the inequality $$3x + 4 \u003c 10$$?

Accepted Answer

$$x \u003c 2$$

Question 4

If the equation $$y = 2x + 5$$ represents a linear relationship, what is the slope of the line?

Accepted Answer

$$2$$

Question 5

A business earns $$x$$ dollars per day. If it earns $$3x$$ dollars in three days, which equation represents the total earnings after $$n$$ days?

Accepted Answer

$$x 	imes n$$

Question 6

Which of the following is a polynomial?

Accepted Answer

$$x^2 + 3x - 4$

Question 7

What is the value of $$2^3$$ 	imes $$2^2$$?

Accepted Answer

$$2^5$$

Question 8

A recipe calls for a ratio of 2 cups of flour to 3 cups of sugar. If you want to make a batch with 6 cups of sugar, how many cups of flour do you need?

Accepted Answer

Question 9

Which of the following is the correct factorization of $$x^2 - 9$?

Accepted Answer

$$(x - 3)(x + 3)$$

Question 10

If a student scores 85 on homework (10%), 90 on quizzes (10%), 80 on tests (30%), and 95 on the final exam (50%), what is their final grade?

Accepted Answer

89

Question 11

Which of the following is an example of a mathematical model used to make predictions?

Accepted Answer

A linear equation predicting sales based on advertising spending

Question 12

What is the solution to the system of equations $$x + y = 5$$ and $$x - y = 1$$?

Accepted Answer

$$x = 3, y = 2$$

Question 13

Which of the following best describes a quantitative relationship?

Accepted Answer

A relationship expressed with numbers and equations

Question 14

If $$f(x) = x^2$ - 4x + 7$$, what is $$f(3)$$?

Accepted Answer

Question 15

Which of the following is NOT a real number?

Accepted Answer

$$\sqrt{-1}$$

Question 16

A student needs at least 80% to pass. If their scores are 70, 85, 90, and 75, what is their average?

Accepted Answer

80

Question 17

Which of the following is the correct simplification of $$3(x + 2) - 2x$$?

Accepted Answer

$$x + 6$$

Question 18

If the grade scale is 90-100 = A, 80-89 = B, 70-79 = C, 69 or below = F, what letter grade does a student with a final score of 79 receive?

Accepted Answer

C

Question 19

Which of the following is an example of using algebraic reasoning to solve a real-world problem?

Accepted Answer

Setting up an equation to calculate monthly rent based on the number of roommates

Study Guide: Developmental Mathematics (Beginning and Intermediate Algebra)

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