Algebra II: Expressions, Equations, and Inequalities Unit Test

Considering the sign-up fee and monthly membership fee for a gym, the equation c = 30m + 25 can be used to represent the total cost of a gym membership for m months. What is the amount of the sign-up fee?

$25

What is the solution to the compound inequality? 2 < 3x - 1≤ 5

1 < x ≤ 2

Name the property of real numbers illustrated by the equation. 5 + (√15 + 6) = (5 + √15) + 6

Associative Property of Addition

Which algebraic expression models the given word phrase? 2 times the sum of a and b

2(a + b)

John gas $305, and he is spending $3 each day. Which algebraic expression describes this situation, where d represents the number of days?

305 - 3d

Which of the following is equal to (3x/5 - 7) + 7?

3x/5

You are spending $55 for books, pencils, and erasers. Books (b) cost $7.50, pencils (p) costs $3, and erasers (e) cost $2, each. Which equation represents this situation?

7.50b + 3p + 2e = 55

Name the property of real numbers illustrated by the equation. x * 11 = 11 * x

Commutative Property of Multiplication

Solve the equation or formula for the indicated variable. S = 3r⁴t, for t

t = S/3r⁴

Which inequality represents the following sentence? Seven fewer than a number is at least 14.

x - 7 ≥ 14

|2x + 10| > 26

x < -1 or x > 8

Which represents the solution to the absolute value equation? 3|2x + 4| - 1 = 11

x = 0 or x = -4

Solve the absolute value equation. |3x - 4| = 5

x = 3 or x = -¹/₃

As a salesperson, Brittany earns $1,200 a month plus 7.5% commission on her sales. She needs to earn at least $3,300 a month to pay all her bills. The following inequality can be used to find the amount of sales Brittany needs to have each month. 1200 + 0.075x ≥ 3300 What is the solution to the inequality?

x ≥ 28,000

Which is an equivalent form of the equation 3x - 3y = 15?

y = x -5