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Solving Quadratic Equation by Factoring

Total questions: 10

Worksheet time: 6mins

Name
Class
Date
1.

What is the first step to solve (x - 3)(x + 5) = 0?

a)

Plug in zero to x

b)

Use FOIL Method

c)

Solve for x

d)

Set each binomial factor equal to zero

2.

What property will be used to solve (x+4)(2x-3) = 0?

a)

Distributive Property

b)

Zero Product Property

c)

Addition Property of Equality

d)

Transitive Property

3.

What are the factors of the quadratic expression in -3x2+18x=0?

a)

-3x(x-6)

b)

3x(x+6)

c)

(-3x+6)(x+3)

d)

(3x+6)(3x-6)

4.

Solve (x+6)(x-4) = 0.

a)

x= 6 or x= 4

b)

x= -6 or x= -4

c)

x= -6 or x= 4

d)

x= 6 or x = -4

5.

Which of the following quadratic equations has 0 as one of the roots?

a)

x2 - 25 = 0

b)

x2 + 7x +12 = 0

c)

x2 + 10x + 25 = 0

d)

x2 + 5x = 0

6.

Solve x2 + 9x = -20.

a)

x = 4 or x = 5

b)

x = -4 or x = -5

c)

x = -4 or x = 5

d)

x = 4 or x = -5

7.

Find the roots of s2 - 16s + 64 = 0.

a)

8

b)

-8, 2

c)

-8, 8

d)

2, -32

8.

Find the solutions of 5y2 - 15y = 0.

a)

y = 5 or y = -3

b)

y = 3 or y = -5

c)

y = 0 or y = 3

d)

y = -3 or y = 0

9.

Do you agree that the quadratic equation (w - 6)2 = 100 can be solved both by extracting square roots and by factoring?

a)

YES

b)

NO

10.

Find the dimensions of the rectangular floor that is represented by the given figure.

a)

6m, 11m

b)

13m, 6m

c)

17m, 2m

d)

18m, 3m