Solving Quadratic Equations by Factoring / Assignment

How many times does the graph of 4x = 32 - x2 cross the x-axis? 0 1 2 What are the solutions to the equation? -2, 162, -16-4, 84, -8

2 / 4, -8

When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. Which equation represents this situation? 6x2 + 5x - 4 = 0 6x2 + 5x + 4 = 0 62x + 5 + x = 4 6 + x2 + 5x = 4

A

When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. Select all of the values that the number could be. 2

A / B

The length of a rectangle is 1 less than twice the width. The area of the rectangle is 28 square feet. Which equation represents the situation?2w² - w + 28 = 02w² - w - 28 = 02w² + w - 28 = 02w² + w + 28 = 0 What is the length of the rectangle?3 feet4 feet7 feet8 feet

B / C

What are the solutions of 8x2 = 6 + 22x? Check all of the boxes that apply. x = -3 x = x = 3 x = 6

B / C

A ball is thrown into the air with an upward velocity of 80 feet per second. The functionh = -16t2 + 80t models the height h, in feet, of the ball at time t, in seconds. When will the ball reach the ground? after 3 seconds after 4 seconds after 5 seconds after 6 seconds

C

What value(s) of x make the equation x2 - 18x + 81 = 0 true? 9 -9, 9 0, 9 0, -9, 9

9

Select all of the values that are solutions of x2 + 20 = 12x. x = -10 x = -2 x = 2 x = 10

x = 2 x = 10

Which equation has solutions of 6 and -6? x2 - 12x + 36 = 0 x2 + 12x - 36 = 0 x2 + 36 = 0 x2 - 36 = 0

x2 - 36 = 0

Peta attempted to solve the following equation. Explain Peta's error. x (x - 5) = 20 x = 20 and x - 5 = 20 x = 20 and x = 25

Peta can only use the zero product property when the product of factors is equal to zero. Peta must multiply x by (x - 5). Peta must write the equation in standard form, then factor the expression. Each factor must be set equal to zero, not 20.