Algebra Midterm Review

Mrs. Galioto is ordering personalized stickers for her students. The initial set up costs $25 and each sticker costs $0.18. Which expression represents the total cost of x number of stickers?

• 25 + 0.18x

• 25x + 0.18

• 0.18x

• x(25 + 0.18)

Which number is NOT in the solution set of 5x - 4 ≤ 16?

• 2

• 3

• 4

• 5

Simplify: 4(2x - 1) - (5x - 3) + 8

• 3x - 1

• 3x + 7

• 13x + 15

• 13x + 7

Solve: 5(2x - 1) + 2x = 4(3x - 1) - x + 7

• 8

• 2

• -8

• -2

Given f(x) = 2x - 7, which statement is true?

• f(0) = 7

• f(-2) = -11

• f(1) = 5

• f(-1) = -5

The first term of a sequence is 8 and the sixth term of the sequence is 23. What is the common difference?

• 15

• 7

• 5

• 3

Given the relation R = {(1, 2), (2, 6), (x, 9), (-5, 3)}. Which value of x would make this relation a function?

• 1

• 2

• 8

• -5

Nico sells lemonade to make money on a hot summer day. The function f(x) is used to model the amount of money earned, where x is the number of full glasses of lemonade he sells. A reasonable domain for this function would be

• imaginary numbers

• rational numbers

• irrational numbers

• natural (counting) numbers

Solve the following system of equations:

2x + y = 14

3x - y = 1

• (8, 3)

• (5, 14)

• (3, 8)

• (2, 5)

Which expression is equivalent to (-6x³)⁴

• 24x⁷

• 24x¹²

• 1296x⁷

• 1296x¹²