Solving Quadratics

Solve by taking square roots:
4m² - 100 = 0

• m=25, -25
• m=96
• m=5, -5
• m=-96

Tags

CCSS.HSA-REI.B.4B

What is another word for zeros?

• y-intercepts
• roots
• vertex
• axis of symmetry

Tags

CCSS.HSF-IF.C.7C

Solve:
X² - 3 =6X + 10

• X = 7, -1
• X = -7, 1
• X = -7, -1
• No Solution

Tags

CCSS.HSA-REI.B.4B

Solve
a² + 2a - 24 = 0

• a = -6, 4
• a = 6, -4
• a = 12, -2
• a = 8, -3

Tags

CCSS.HSA-REI.B.4B

Use the quadratic formula to find the solutions for
y = -x² - 5x + 12

• -4.9 and -0.1
• -8.54 and 8.54
• -0.45 and 3.55
• -6.77 and 1.77

Tags

CCSS.HSA-REI.B.4B

Use the graph to determine the solutions.

• -1 and -3
• 1 and -3
• 1 and 3
• -1 and 3

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Use the quadratic formula to solve 2x² + 2x - 12.

• -2, 3

• 2, 3

• 2, -3

• -2, -3

Tags

CCSS.HSA-REI.B.4B

Factor completely:
 $6a^2+48a-54$  

•  $\left(a-1\right)\left(a+9\right)$  

•  $6\left(a-1\right)\left(a+9\right)$  

•  $\left(6a-6\right)\left(a+9\right)$  

•  $\left(a-1\right)\left(6a-54\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)
• 5x(2x² - 3)
• 5(2x³ - 3x)
• 5x²(10x - 3)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
2x² + 11x + 14

• (x + 7)(2x + 2)
• (x + 2)(2x + 7)
• (x + 14)(2x + 1)
• (x + 1)(2x + 14)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.APR.A.1