Free Printable Solve Quadratic equation by Factoring or square root

1.

Solve by factoring. $x^2+5x-36=0$

a)

-9, 4

b)

$\pm6$

c)

-12, 3

d)

2, -18

2.

$Solve\ by\ factoring.\ x^2-x\ -56=0$

a)

56, -1

b)

-14, 4

c)

2, -28

d)

-7, 8

3.

8x(x+1)(x-10)=0

a)

-8, -1, 10

b)

$\frac{1}{8},\ 10$

c)

0, -1, 10

d)

no real solution

4.

Which one of the following is the standard form of a quadratic equation?

a)

y = mx + b

b)

$y=mc^2$

c)

$a^2+b^2=c^2$

d)

$ax^2+bx+c=0$

5.

$-4x^2=64$

a)

$\pm21$

b)

$\pm32$

c)

$\pm256$

d)

no real solution

6.

$Solve\ by\ the\ square\ root\ property.\ \ x^2=15$

a)

3, 5

b)

$\pm\sqrt{15}$

c)

$\pm15$

d)

$\pm3\sqrt{5}$

7.

$\left(x-5\right)^2=21$

a)

$\pm\sqrt{21}$

b)

$5\pm\sqrt{21}$

c)

$\pm\sqrt{26}$

d)

$5\pm\sqrt{26}$

8.

Solve by factoring:
x² - 16 = 0

a)

4

b)

-4

c)

-4, 4

d)

16

9.

Solve by taking the square root:
4x² = 100

a)

-10, 10

b)

-25, 25

c)

-5, 5

d)

5

10.

Which answer choice correctly shows the quadratic equation above in factored form?

a)

(x + 7)(x - 2) = 0

b)

(x - 7)(x + 2) = 0

c)

(x - 7)(x - 2) = 0

d)

(x + 7)(x + 2) = 0

Solve Quadratic equation by Factoring or square root

Total questions: 10

Worksheet time: 15mins

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