Unit 3 Test Review (Factoring and Solving Quadratics)

What is the discriminant of the quadratic equation x² + 5x + 3 = 0?

• −13

• −37

• 13

• 37

Tags

CCSS.HSA-REI.B.4B

• 12

Solve the equation 4t² + 17t + 14 = 0 for all real solutions in simplest form.

Tags

CCSS.HSA-REI.B.4B

Factor x² + 13x + 30.

• (x + 3)(x + 10)

• (x + 5)(x + 6)

• (x + 2)(x + 15)

• (x + 1)(x + 30)

Given f(x) = -x² + 7x - 16, find f(10).

• -36

• -46

• -56

• -66

Tags

CCSS.HSF.IF.A.2

Solve the following quadratic equation for all values of x in simplest form: 4(x + 10)² - 44 = 32.

Tags

CCSS.HSA-REI.B.4B

Use the quadratic formula to solve: 3r² + 10r - 8 = 0. Express your answer in simplest form.

Tags

CCSS.HSA-REI.B.4B

Jacob has a points card for a movie theater. He receives 40 rewards points for signing up and earns 12.5 points per visit. He needs 140 points for a free movie ticket. Write and solve an equation to determine v, the number of visits Jacob must make to earn a free movie ticket.

Tags

CCSS.7.EE.B.4A

Solve the following quadratic equation for all values of x in simplest form: 2(x - 6)² + 3 = 5.

• x = 7, x = 5

• x = 6, x = 4

• x = 8, x = 6

• x = 5, x = 3

Tags

CCSS.HSA-REI.B.4B

Solve the equation for all values of x by completing the square: x² - 2x = 3.

• x = 3, x = -1

• x = 2, x = -2

• x = 1, x = -3

• x = 4, x = 0

Tags

CCSS.HSA-REI.B.4B