Free Printable Solving Quadratics Review

1.

Solve using the Quadratic Formula:

$2x^2+7x-15=0$

a)

$x=-1.5,\ 5$

b)

No Solution

c)

$x=-5,\ 1.5$

d)

$x=0.7,\ 5$

2.

Solve using the Quadratic Formula:
(Hint: Set the equation = to 0)

$x^2+2x=8$

a)

$x=-4,\ 2$

b)

$x=-4,\ -2$

c)

$x=2,\ 4$

d)

$x=-2,\ 4$

3.

Solve by factoring: 2x²+ 7x + 6 = 0

a)

x= 3/2 and x = 2

b)

x = -3/2 and x = -2

c)

x = 6 and x = 7

d)

x = -6 and x = -7

4.

Solve by factoring

12x²+ 8x = 0

a)

x = 0, -2/3

b)

x = 0

c)

x = 3/2, 0

d)

x = 4

5.

Solve:
x² - 49 = 0

a)

x = -7, x = 7

b)

x = -7

c)

x = 7

d)

x = -7, x = 1

6.

Solve: 49x² - 100 = 0

a)

$x=\frac{10}{7}\ \ and\ \ x=\frac{-10}{7}$

b)

$x\ =\ \frac{7}{10}\ \ \ and\ \ \ x=\frac{-7}{10}$

c)

$x=7\ \ \ and\ \ x\ =-7$

d)

$x\ =\ \frac{3}{5}\ \ \ \ and\ \ \ x=\frac{-3}{5}$

7.

How many solutions are there?

a)

0

b)

1

c)

2

d)

Cannot be determined

8.

How many solutions are there?

a)

0

b)

1

c)

2

d)

3

9.

What value of c would complete the square?

x² -18x + c

(a)

10.

Find the value of "c" that completes the square.

x^2+28x+c

a)

28

b)

14

c)

196

d)

56

11.

Solve by completing the square.
x² +12x = 5

a)

X = 6 + √41 or 6 − √41

b)

X= 35 or 47

c)

X = −6 + √41 or −6 − √41

d)

X = √35 or √47

12.

Solve by completing the square.
$x^2-6x-27=0$

a)

$x=\left\{-9,\ -3\right\}$

b)

$x=\left\{-3,\ 9\right\}$

c)

$x=\left\{-9,\ 3\right\}$

d)

$x=\left\{3,\ 9\right\}$

13.

What are the solutions?

a)

-2, 1

b)

1, 2

c)

-1,2

d)

0,-4

14.

Use desmos.com to solve the following:

$5x^2-14=6$

Set equal to 0 first!

Don't include "=0" when you plug it in.

a)

$x=-1.673\ and\ x\ =\ 1.673$

b)

$x=2\ and\ x=-2$

c)

$x=1\ and\ x=-1$

d)

$x=5\ and\ x=-4$

15.

Use desmos.com to solve the following:

$3x^2+2=-4$

Set equal to 0 first!

Don't include "=0" when you plug it in.

a)

$x=-0.816\ and\ x\ =\ 0.816$

b)

$x=2\ and\ x=-2$

c)

$No\ Real\ Solutions$

d)

$All\ Real\ Numbers$

16.

Use desmos.com to solve the following:

$2x^2+6x+10=8$

Set equal to 0 first!

Don't include "=0" when you plug it in.

a)

$No\ Real\ Solutions$

b)

$x=-1.5\ and\ x=-2.5$

c)

$x=-2.618\ and\ x=-0.382$

d)

$x=-1\ \ and\ \ x=-2$

17.

a)

-3, 4

b)

3, 4

c)

-4, -3

d)

-3

18.

Identify the Equivalent Equation:

x² + 11x + 24 = 0

a)

(x + 6)(x + 4) = 0

b)

(x + 12)(x + 2) = 0

c)

(x - 8)(x - 3) = 0

d)

(x + 8)(x + 3) = 0

19.

Which method will work well for ANY quadratic equation?

a)

Factoring

b)

Square Root

c)

Completing the Sqare

d)

Quadratic Formula

20.

Solve the equation by the method of your choice (Completing the Square, Quadratic Formula, Factoring).

$x^2+6x+5=45$

a)

-10, 4

b)

10, -4

c)

3, 8

d)

-3, -8

21.

Solve the equation by the method of your choice (Completing the Square, Quadratic Formula, Factoring).

$2x^2-5x-3=0$

a)

-3, 3

b)

-9, 9

c)

$-\frac{1}{2}$ , 3

d)

$\frac{1}{2}$ , -3

Solving Quadratics Review

Total questions: 21

Worksheet time: 5hrs 15mins

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