Factoring and Solving Quadratics Practice Problems

Factor: 49x² - 100

• (49x + 100)(x - 1)
• (7x - 10)(7x + 10)
• (49x - 10)(x + 10)
• (7x -10)(7x - 10)

Tags

CCSS.HSA.APR.C.4

Solve by factoring: x² - 9x + 20 = 0

• x = -4 and x = -5
• x = 20 and x = -9
• x = 4 and x = 5
• x = -4 and x = 5

Tags

CCSS.HSA-REI.B.4B

Solve by factoring: x² + 3x - 18 = 0

• x = -3 and x = 6
• x = 3 and x = -6
• x = -9 and x = 2
• x = 9 and x = -2

Tags

CCSS.HSA-REI.B.4B

Factor x²-16

• (x+4)²

• (x-4)²

• (x-16)(x+16)

• (x-4)(x+4)

Tags

CCSS.HSA.APR.C.4

 $64x^2+112x+49$  Factor:

•  $\left(8x-7\right)\left(8x+7\right)$  

•  $\left(8x-7\right)^2$  

•  $\left(16x+7\right)^2$  

•  $\left(8x+7\right)^2$  

Tags

CCSS.HSA.APR.C.4

 $a^2-10a+25$  Factor:

•  $\left(a-5\right)\left(a+5\right)$  

•  $\left(a+5\right)^2$  

•  $\left(a-5\right)^2$  

•  $\left(a-10\right)^2$  

Tags

CCSS.HSA.APR.C.4

 $16x^2-81$  Factor:

•  $\left(4x-9\right)^2$  

•  $\left(2x-9\right)^2$  

•  $\left(4x\ +\ 9\right)^2$  

•  $\left(4x+9\right)\left(4x-9\right)$  

Tags

CCSS.HSA.APR.C.4

x²+4x-32=0

• x= -8, 4

• x= 8, -4

• x= -8, -4

Tags

CCSS.HSA-REI.B.4B

x²=18x-81

• x= -9, -9

• x= 9, 9

• x= -9, 9

Tags

CCSS.HSA-REI.B.4B

3x²+9x-30=0

• x= 2, -5

• x= 5, -2

• x= -5, -2

Tags

CCSS.HSA-REI.B.4B