Day 3 CAASPP Spiral Review

Solve the following equation using the difference of squares: 9x² - 49 = 0

• x = ±7/3

• x = ±3/7

• x = ±5/2

• x = ±4/3

Which of the following quadratic equations has no real solutions?

• x² + 5x + 6 = 0

• x² - 4x + 3 = 0

• x² + 6x + 10 = 0

• x² - 9x + 20 = 0

A landscaper is designing a garden with a rectangular area of 240 square feet. The length is 5 feet more than the width. Which equation represents this situation?

• (w + 5 )w = 240

• (w - 5 )w = 240

• (5w)w = 240

• (w + 3)w = 240

Solve the quadratic equation by factoring: x² - 9x + 18 = 0

• A. x = 2, 9

• B. x = 3, 6

• C. x = 4, 5

A taxi service charges a base fare of $4 and $2.50 per mile driven. A customer is charged $22.50 for a ride. Which equation represents this situation?

• 4x + 2.50 = 22.50

• 2.50x + 4 = 22.50

• 2x + 4.50 = 22.50

• 4.50x + 2 = 22.50

A population of bacteria doubles every 3 hours. Initially, there are 50 bacteria. After 9 hours, how many bacteria are present?

• 3.75x ≤ 250

• 3.75x ≥ 250

• 3.75x < 250

• 3.75x > 250

• x = 2, -1/3

• x = 5/3, -2

• x = 3, -2/3

• x = 2/3, -3

The function below represents the height, h, of a ball after t seconds:

h = -4.9t² + 19.6t + 1

What is the maximum height of the ball?

• 9.8 meters

• 19.6 meters

• 29.4 meters

• 20.6 meters

What is the sum of the roots of the quadratic equation x² - 7x + 10 = 0?

• 7

• 10

• 5

• 3