Question 1

Which of the following is the correct definition of absolute value?

Accepted Answer

The distance of a number from zero on the number line, always positive.

Question 2

Evaluate the following expression using the correct order of operations: $$2 + 3 	imes (4 - 1)^2$

Accepted Answer

$$29$$

Question 3

Which set does the number $$-\frac{7}{2}$$ belong to?

Accepted Answer

Rational numbers

Question 4

Simplify the expression: $$5x - 3(x + 2) + 4$$

Accepted Answer

$$2x - 2$$

Question 5

Solve for $$x$$: $$3x - 7 = 2x + 5$$

Accepted Answer

$$x = 12$$

Question 6

Which property of real numbers is illustrated by the equation $$a + b = b + a$$?

Accepted Answer

Commutative Property of Addition

Question 7

A chemist mixes $$-5$$ degrees Celsius water with $$12$$ degrees Celsius water. What is the absolute value of the temperature difference?

Accepted Answer

$$| -5 - 12 | = 17$$

Question 8

Which of the following is the solution set for the inequality $$2x - 3 \u003e 7$$?

Accepted Answer

$$x \u003e 5$$

Question 9

What is the slope of the line passing through the points $$(2, 3)$$ and $$(5, 15)$$?

Accepted Answer

$$4$$

Question 10

Which equation represents a horizontal line passing through $$(0, -2)$$?

Accepted Answer

$$y = -2$$

Question 11

If $$x is a $$solution to $$|x - 4| = 7$$, what are the possible values of $$x$$?

Accepted Answer

$$x = 11 or$$ $$x = -3$$

Question 12

Which of the following is an example of a literal equation?

Accepted Answer

$$A = lw$$

Question 13

A student’s quiz scores are $$18$$, $$20$$, $$15$$, and $$17$$ out of $$20$$ points. What is the average quiz score?

Accepted Answer

$$17.5$$

Question 14

Which of the following is the correct roster notation for the set of even numbers between $$2$$ and $$10$$?

Accepted Answer

$$\{4, 6, 8\}$$

Question 15

Solve for $$y in $$the equation $$2y + 5 = 17.$$

Accepted Answer

$$y = 6$$

Question 16

Which of the following is the correct interval notation for the solution set $$x \geq 3$$?

Accepted Answer

$$[3, \infty)$$

Question 17

A car rental company charges a base fee of $$\25$ plus $$\$$0.20$$ per mile driven. Which equation models the total cost $$C$$ for $$m$$ miles?

Accepted Answer

$$C = 25 + 0.20m$$

Question 18

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

Accepted Answer

$$x \geq -2$$

Question 19

Which property is used in the equation $$a(b + c) = ab + ac$$?

Accepted Answer

Distributive Property

Question 20

If the equation of a line is $$y = 3x - 7$$, what is the $$y-$$intercept?

Accepted Answer

$$-7$$

Math 021: PreAlgebra II – Course Structure and Key Concepts

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