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