Mixed Review

Solve the equation by completing the square: x^2 + 20x + 21 = 10.

• 10 + √111, 10 - √111

• 2 + √47, -2 - √47

• 2, -22

• 20 + √389, -20 - √389

• -10 + √89, -10 - √89

Tags

CCSS.HSA-REI.B.4B

Solve the equation by factoring: x^2 + 5x = 6.

• 1

• 6, -1

• 6, 5

• 3, -4

• -6, 1

Tags

CCSS.HSA-REI.B.4B

Solve the equation by taking square roots: 7x^2 - 3 = 578.

• √10, -√10

• √41, -√41

• 650, -650

• √182/7, -√182/7

• √83, -√83

Tags

CCSS.HSA-REI.B.4B

Solve the equation with the quadratic formula: 4x^2 = 5 + 8x.

• 4, -4

• 4i, -4i

• 4 + √21, 4 - √21

• 2, -2

• 5/2, -1/2

Tags

CCSS.HSA-REI.B.4B

Factor each completely: (a^2 - 10a + 9)

• (a - 9)(a - 1)

• (a - 1)(a - 9)

• (a + 9)(a + 1)

• (a + 1)(a + 9)

Simplify: (√144)

• 4√3

• 6√6

• 12

• 4√2

• 7√5

Simplify: (√320)

• 14√2

• 8√2

• 7√7

• 6

• 8√5

What is the factored quadratic equation in the following graph?

• y=(x+2)(x+6)

• y=x²-8x+12

• y=(x-2)(x-6)

• y=(x-4)(x+4)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What is the factored quadratic equation in the following graph?

• y=(x+2)(x+6)

• y=x²-8x+12

• y=(x-2)(x-6)

• y=(x-4)(x+4)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Factor Completely: x²-7x-8

• (x+1)(x-8)
• (x+1)(x+8)
• 5(x+4)(x+5)
• (x-1)(x+8)