Free Printable Solving Quadratic Equations(Graphing-SqRtMethod-Factoring)

1.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

2.

a)

A
Roots
x = 2
x = -4

b)

B
Roots
x = 2
x = 4

c)

C
Roots
x = -2
x = -4

d)

D
Roots
x = 0
x = 4

3.

a)

A
1 Real Solution

b)

B
2 Real Solutions

c)

C
No Real Solutions

d)

D
Half a Solution

4.

a)

A
Roots are -1 and -3

b)

B
Roots are 0 and 3

c)

C
Roots are 1 and 4

d)

D
Roots are -1 and 3

5.

What is another name for the solutions to a quadratic?

a)

A

y-intercepts

b)

B

Zeros

c)

C

Maximums

d)

D

Minimums

6.

$y=x^2+6x$

a)

6

b)

-6

c)

6 & 0

d)

-6 & 0

7.

Find the zero(s) of the function.
$f\left(x\right)=x^2-25$

a)

x = 5

b)

x = -5

c)

x = ±25

d)

x = ±5

8.

$y=\ x^2-7x-8$

a)

-3 & -1

b)

8 & -1

c)

8 & -2

d)

8 & 5

9.

a)

±72

b)

±12

c)

12

d)

No real solution

10.

$2x^2=100$

a)

x = √25

b)

x = ±5√2

c)

x = √100

d)

x = ±√5

11.

(x + 3)² = 36

a)

x = √36

b)

x = √39

c)

x = -9 and x = 3

d)

x = 9 and x = -3

12.

a)

± 1

b)

± 4/3

c)

± 3/4

d)

No real solution

13.

$\left(x-7\right)^2=5$

a)

x = 7-√5

b)

x = 7+√5

c)

x = √5

d)

x = 7±√5

14.

Solve the following quadratic equation by factoring. x²- 9x + 20 = 0

a)

x = -2 or x = 10

b)

x = -5 or x = -4

c)

x = 4 or x = 5

d)

Not factorable

15.

When using factoring to solve a quadratic equation, what must be true?

a)

The equation must be set equal to 1.

b)

The equation must be set equal to 10.

c)

The equation must be set equal to 0.

d)

It is not necessary to set the equation equal to anything.

16.

Solve the following quadratic equation by factoring.

x²+ 2x - 15 = 0

a)

x = 3 or x = 5

b)

x = 5 or x = -3

c)

x = -5 or x = 3

d)

x = -3 or x = -5

17.

a)

±√9

b)

±3

c)

±1

d)

No real solution

18.

Solve the following quadratic equation by factoring.

a)

x = -6 or x = -2

b)

x = -2 or x = 6

c)

x = 2 or x = 6

d)

x = -6 or x = 2

19.

Solve the following quadratic equation by factoring.

$2x^2+7x-4=0$

a)

x = -2 or x = $\frac{1}{4}$

b)

x = 2 or x = $\frac{1}{4}$

c)

x = - $\frac{1}{2}$ or x = 4

d)

x = $\frac{1}{2}$ or x = -4

20.

Solve the following quadratic equation by factoring. $2x^2-5x+2=0$

a)

$x=\frac{-1}{2}$ & $x=-2$

b)

$x=-1$ & $x=-4$

c)

$x=4$ & $x=1$

d)

$x=\frac{1}{2}\ \&\ x=2$

Solving Quadratic Equations(Graphing-SqRtMethod-Factoring)

Total questions: 20

Worksheet time: 1hrs 15mins

Similar Resources on Wayground