Free Printable Solving quadratic equations by extracting the square roots

1.

What is the square root of 36?

a)

$\pm\ 6$

b)

$\pm9$

c)

$\pm\ 4$

d)

$\pm12$

2.

Which of the following is a square root sign?

a)

$X^2$

b)

$\sqrt{b}$

c)

$\left|x\right|$

d)

$2x^3$

3.

A _______ of a number is a value that can be multiplied by itself to give the original number.

a)

sum

b)

real number

c)

square root

d)

constant

4.

The equation 𝑥 2 = 𝑐, (𝑐 < 0) has ____________ solutions?

a)

none

b)

one

c)

two

d)

three

5.

What is the standard form of quadratic equations?

a)

ax^2+bx+c\ =\ 0

b)

$ax\ +b=c$

c)

$ax^2\ =c$

d)

$ax^2-bx\ =\ c$

6.

To simplify

2x\left(3x-8\right)=0

, what property must be applied?

a)

ADDITION PROPERTY OF EQUALITY

b)

MULTIPLICATION PROPERTY OF EQUALITY

c)

CUMMUNITATIVE PROPERTY

d)

DISTRIBUTIVE PROPERTY

7.

What is an equation with the highest exponent of the variable is two?

a)

Linear Equation

b)

Quadratic Equation

c)

Absolute Value

d)

Polynomial Equation

8.

What are the roots of quadratic equation

x^2-49=0

?

a)

$\pm7$

b)

$\pm1$

c)

$\pm8$

d)

$\pm4$

9.

Applying the method extracting the square roots, solve for b of quadratic equation

2b^2-32=0

.

a)

$\pm8$

b)

$\pm4$

c)

$\pm2$

d)

$\pm1$

10.

What are the roots of the quadratic equation

25a^2=\ 81

.

a)

$\pm\frac{9}{5}$

b)

$\pm9$

c)

$\pm\frac{5}{9}$

d)

$\pm5$

Solving quadratic equations by extracting the square roots

Total questions: 10

Worksheet time: 5mins

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