Module 1 review

Multiply (2x² + 3x - 4)(2x - 5)

• 4x³ - 4x² + 7x + 20

• 4x³ - 4x² - 7x + 20

• 4x³ - 4x² + 23x + 20

• 4x³ - 4x² - 23x + 20

Bryan’s hockey team is purchasing jerseys. The company charges $250 for a onetime set-up fee and $23 for each printed jersey. Which expression represents the total cost of x number of jerseys for the team?

• 23x

• 23 + 250x

• 23x + 250

• 23(x + 250)

Which expression is equivalent to 2(x² - 1) + 3x(x - 4)

• 5x² - 5

• 5x^{2 - 6}

• 5x² - 12x - 1

• 5x² - 12x - 2

A child is playing outside. The graph below shows the child’s distance, d(t), in yards from home over a period of time, t, in seconds.

• 0 ≤ t ≤ 2

• 2 ≤ t ≤ 3

• 3 ≤ t ≤ 4

• 4 ≤ t ≤ 6

Which expression results in a rational number?

• √2 • √18

• 5 ⋅ √5

• √2 + √2

• 3 √2 + 2√3

When solving p² + 5 = 8p - 7, Kate wrote p² + 12 = 8p. The property she used is

• the associative property

• the commutative property

• the distributive property

• the addition property of equality

David wanted to go on an amusement park ride. A sign posted at the entrance read “You must be greater than 42 inches tall and no more than 57 inches tall for this ride.” Which inequality would model the height, x, required for this amusement park ride?

• 42 < x ≤ 57

• 42 > x ≥ 57

• 42 < x or x ≤ 57

• 42 > x or x ≥ 57

Nicci’s sister is 7 years less than twice Nicci’s age, a. The sum of Nicci’s age and her sister’s age is 41. Which equation represents this relationship?

• a + (7 - 2a) = 41

• a + (2a - 7) = 41

• 2a - 7 = 41

• a = 2a - 7

Which expression results in a rational number?

• √121 - √21

• √25 ⋅ √50

• √36 ÷ √225

• 3√5 + 2√5

The math department needs to buy new textbooks and laptops for the computer science classroom. The textbooks cost $116.00 each, and the laptops cost $439.00 each. If the math department has $6500 to spend and purchases 30 textbooks, how many laptops can they buy?

• 6

• 7

• 11

• 12