Solving Quadratic Equations

Solve the equation by factoring:

x²-6x+8=0

• x = 2 or x = 4

• x = -2 or x = -4

• x = -2 or x = 4

• x = 2 or x = -4

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

Which answer choice correctly shows the quadratic equation above in factored form?

• (x + 7)(x - 2) = 0

• (x - 7)(x + 2) = 0

• (x - 7)(x - 2) = 0

• (x + 7)(x + 2) = 0

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

Solve by taking the square root:
4x² = 100

• -10, 10
• -25, 25
• -5, 5
• 5

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

Solve by factoring:
x² - 16 = 0

• 4
• -4
• -4, 4
• 16

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

Solve by factoring:

x² + 2x - 20 = 4

• x = -6, x = 4

• x = 6, x = -4

• x = 12, x = -2

• x = 8, x = -3

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Solve by taking the square root:

x² = 16

• ± 4

• ± 8

• 4

• 8

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

Solve by taking the square root:

x² + 4 = 68

• ± 8

• ± √8

• 8

• ± 64

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

Solve by taking the square root:

7x² + 1 = 8

• ± 1

• ± 7

• ± √7

• ± 8

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.4

Solve by taking the square root:

(x + 1) ² = 25

• ± 5

• 4 or -6

• -4 or 6

• ± 4

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4

Solve by completing the square:

x² + 10x = -9

• 1 and -12

• -1 and -9

• 1 and -9

• 1 and -1

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.4