Solving Quadratic Equations

Convert x² - 9x + 20 to factored form and solve.

• (x-10)(x+2); x = -2, 10
• (x+4)(x+5); x = -5, -4
• (x-4)(x-5); x = 4, 5
• Not factorable

Tags

CCSS.HSA-REI.B.4B

The solutions of the quadratic equation 
x²+2x-15=0 are

• x = 3 or x = 5
• x = 5 or x = -3
• x = -5 or x = 3
• x = -3 or x = -5

Tags

CCSS.HSA-REI.B.4B

Factor x² + 6x + 9 and solve for x. 

• (x+3)(x+3); x = -3
• (x+4)(x+5); x=-4, -5
• (x-3)(x-3); x=3
• Not factorable

Tags

CCSS.HSA-REI.B.4B

What are the solutions to this equation? (x-3)(x+2)=0

• x=3,-2
• x=-3,2
• x=2,3
• x=3,2

Tags

CCSS.HSA-REI.B.4B

Solve by factoring.
x² + 2x - 8 = 0

• 4 and 2
• 4 and -2
• -4 and 2
• -4 and -2

Tags

CCSS.HSA-REI.B.4B

What should you do first in solving this equation?
x² + 6x - 13 = 3

• Get factored form
• Find two numbers which add to make 6 and multiply to make -13
• Make it equal 0 by subtracting 3 on each side
• Type it all in a calculator.

Tags

CCSS.HSA-REI.B.4B

Solve by factoring:

x² + 6x + 20 = -3x

• x = -2, x = -10

• x = -3, x = -4

• x = -4, x = -5

• x = -4, x = -6

Tags

CCSS.HSA-REI.B.4B

Solve:  3x² + 15x + 12 = 0

• -1, -4
• 3, -1, -4
• 1, 4
• 3, 1, 4

Tags

CCSS.HSA-REI.B.4B

Solve.  7m² - 12m + 5 = 0

• x = 5/7 and x = 1
• x = 8/3 and x = 2
• x = 8/3 and x = -1/2
• x = -2/3 and x = -5

Tags

CCSS.HSA-REI.B.4B

Which equation matches these solutions? x=1/4,-3/5

• (4x+1)(5x+3)=0
• (4x-1)(5x-3)=0
• (4x+1)(5x-3)=0
• (4x-1)(5x+3)=0

Tags

CCSS.HSA-REI.B.4B