Free Printable Quadratic Equation

1.

What are the solutions for the equation 2x² + 16x = 18

a)

x = -1 and x = 9

b)

x = -9 and x = 1

c)

x = 2 and x= 18

d)

x = 2 and x = 16

2.

Solve by factoring

x² + 10x = -25

a)

x = -5

b)

x = ±5

c)

x = 5

d)

x = 0

3.

Solve the equation by factoring:
x² + x - 20 = 0

a)

x = -5 and 4

b)

x = 4 and 5

c)

x = 5 and -4

d)

x = -4 and -5

4.

Write a Quadratic equation in Standard Form, whose solutions are $7$ and $3$ .

a)

$y=x^2-10x+21$

b)

$y=x^2+10x+21$

c)

$y=x^2-10x-21$

d)

$y=x^2+10x-21$

5.

Solve the equation by factoring.

a)

x = {3,8}

b)

x = {-3,8}

c)

x = {3,-8}

d)

x = {-3,-8}

6.

Solve the equation using the quadratic formula.

x² + 7x = x - 10

a)

-6/2 + √4

b)

-6/2 - √4

c)

no solution

d)

∅

7.

Solve the equation using the quadratic formula.

4x² +9x = 12x

a)

x = {0, 3/4}

b)

x = {0, -3/4}

c)

x = {0, 4/3}

d)

no solution

8.

What do you do to the b value to correctly complete the square?

a)

square it

b)

divide it by 2 and square the result

c)

divide it by 2 and take the square root of the result

d)

divide it by 2 only

9.

What value of c would make this a perfect sqaure trinomial?
x² +8x + c

a)

4

b)

16

c)

64

d)

-16

10.

x² -4 = 77

a)

9

b)

-9

c)

No Real Solutions

d)

±9

11.

A right-angled triangle has a perimeter of 40 cm and a hypotenuse of 17 cm. Based on the following information , form a quadratic equation and write it in general form.

a)

(x - 8)(x - 15)

b)

x² - 23x + 120

c)

x² - 23x + 120 = 0

d)

x² - 23x - 120 = 0

12.

Solve: $-6x=3x^2+1.$

a)

$x=\frac{2\pm4\sqrt{2}}{-7}$

b)

$x=\frac{5\pm\sqrt{67}}{6}$

c)

$x=\frac{-3\pm\sqrt{6}}{3}$

d)

$x=-3\pm2\sqrt{2}$

13.

What values should be placed in the blanks to rewrite the equation by completing the square?

a)

-2, -25

b)

2, 25

c)

-2, 25

d)

2, -25

14.

What are the solutions to $\left(x-6\right)^2=225$ ?

a)

A.

$x=21$ and $x=-9$

b)

B.

$x=21$ and $x=9$

c)

C.

$x=118.5$ and $x=106.5$

d)

D.

$x=231$ and $x=216$

15.

Charlie is solving $3x^2+5x=12$ by factoring. Which of the following describes what his first step should be?

a)

A.

Divide both sides f the equation by 3.

b)

B.

Take the square root of both sides of the equation.

c)

C.

Subtract 12 from both sides of the equation.

d)

D.

Find two values with a sum of 5 and a product of 12.

Quadratic Equation

Total questions: 15

Worksheet time: 29mins

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