Solving Quadratics by Square Roots and Factoring

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

x² - 25

• ( x + 5 ) ( x - 5 ) 
• ( x - 5 ) ( x - 5 ) 
• ( x + 5 ) ( x + 5 ) 
• Prime

Tags

CCSS.HSA.APR.C.4

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 using square roots.

• A
• B
• C
• D

Tags

CCSS.HSA-REI.B.4B

Solve using square roots.
k² - 6 = 43

• k = √37
• k = 37 or - 37
• k = 7, k = -7
• no solution

Tags

CCSS.8.EE.A.2

Solve using square roots.
4m² - 100 = 0

• m=25, -25
• m=96
• m=5, -5
• m=-96

Tags

CCSS.8.EE.A.2

True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing.

• True
• False, because the solution and root are the same but the x-intercept and zero are different
• False, because the x-intercept and root are the same but the zero and solution are different
• False, they are all different

Tags

CCSS.HSF-IF.C.7A

Solve using Zero-Product Property.

(2x - 2)(5x + 5) = 0

• x = -1

• x = -1 or x = 1

• x = 1

• x = -2 or x = 5

Tags

CCSS.HSA-REI.B.4B