Free Printable Square Root Method and Quadratic Formula

1.

$b^2-4b+4=0$

a)

x = -2

b)

x = 2

c)

no real solution

d)

x = -2 and 2

2.

Identify a, b and c in the quadratic equation: $2x^2-3x-5=0$

a)

a = 2 , b = 3, c = -5

b)

a = 2, b = -3, c = 5

c)

a = 2, b = -3, c = -5

d)

a = -2, b = 3, c = 5

3.

$m^2-5m-14=0$

a)

x = 7 and -2

b)

x = 7 and 2

c)

x = -7 and -2

d)

x = -7 and 2

4.

$x^2+4x+3=0$

a)

x = 1 and -3

b)

x = -1 and -3

c)

x = -1 and 3

d)

x = 1 and 3

5.

What method would you use to solve $x^2-16=0$

a)

Factoring Method

b)

Completing the Square Method

c)

Quadratic Formula

d)

Square Root Method

6.

The first step in solving quadratic equations is to . . .

a)

factor

b)

write the equation in standard form

c)

use quadratic formula

d)

complete the square

7.

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

a)

x = -1 and 3

b)

x = 1 and -3

c)

No real solution

d)

x = 1

8.

Solve
x² + 2x - 24 = 0

a)

x = -6, x = 4

b)

x = 6, x = -4

c)

x = 12, x = -2

d)

x = 8, x = -3

9.

Solve
16a² - 9 = 0

a)

a = ^-3/₄, ³/₄

b)

a = ^-4/₃, ⁴/₃

c)

a = ^-9/₁₆, ⁹/₁₆

d)

a = ^-16/₉, ¹⁶/₉

10.

3x² = 12

a)

± 2

b)

2

c)

± √12

d)

± 4

11.

x² + 4 = 68

a)

± 8

b)

± √8

c)

8

d)

± 64

12.

(x + 1) ² = 25

a)

± 5

b)

4 or -6

c)

-4 or 6

d)

± 4

13.

Solve by taking square roots:
5b² - 4 = 41

a)

b = 9, b = -9

b)

b = 3, b = -3

c)

b = 8, b = -8

d)

no solution

14.

$\left(x+5\right)^2=81$ Evaluate using square roots.

a)

x = 5, x = 9

b)

x = 4, x = -14

c)

x = $\pm2\sqrt{19}$

d)

x = $\pm$ 9

15.

Solve:
x² - 49 = 0

a)

x = -7, x = 7

b)

x = -7

c)

x = 7

d)

x = -7, x = 1

16.

Solve by taking square roots:
5m² + 1 = 6

a)

m = 0

b)

m = 1 or -1

c)

m = √7

d)

m = 7/5 m = -7/5

17.

Solve.

(2x - 4)² = 16

a)

x = 4

b)

x = 10

c)

x = -2

d)

x = 0, 4

18.

What is the quadratic formula?

a)

$x=\frac{b-\sqrt{\left(b\right)^2-4\left(a\right)\left(c\right)}}{2\left(a\right)}$

b)

$x=\frac{-\left(b\right)\pm\sqrt{\left(b\right)^2-4\left(a\right)\left(c\right)}}{2\left(a\right)}$

c)

$x=\frac{\left(b\right)\pm\sqrt{\left(b\right)^2-4\left(a\right)\left(c\right)}}{2a}$

d)

$x=-\left(b\right)\pm\sqrt{b\pm4\left(a\right)\left(c\right)}$

19.

What is one of the solutions to this equation?
(2x - 1)² = 49

a)

7

b)

-7

c)

-4

d)

-3

20.

3x² = 12

a)

± 2

b)

2

c)

± √12

d)

± 4

21.

-5x² = -50

a)

± 5

b)

± 10

c)

± √10

d)

-10

22.

7x² + 1 = 8

a)

± 1

b)

± 7

c)

± √7

d)

± 8

23.

(x + 1) ² = 25

a)

± 5

b)

4 or -6

c)

-4 or 6

d)

± 4

24.

(x - 2) ² = 9

a)

± 3

b)

5 or -1

c)

-5 or 1

d)

± 9

25.

3x² = 30

a)

± 10

b)

± √10

c)

± 15

d)

30

26.

(x - 2) ² = 49

a)

9 or -5

b)

± 9

c)

± 5

d)

± 7

27.

Solve by taking square roots:
5b² - 4 = 41

a)

b = 9, b = -9

b)

b = 3, b = -3

c)

b = 8, b = -8

d)

no solution

28.

$x^2-400\ =\ 0$ Evaluate by using square roots.

a)

No solution

b)

x = 200

c)

x = $\pm$ 20

d)

x = $\pm2\sqrt{10}$

29.

$\left(x-6\right)^2=144$ Evaluate using square roots.

a)

x = 18, x = -6

b)

x = $\pm$ 12

c)

x = 6, x = -18

d)

x = -6, x = 12

30.

$\left(x+5\right)^2=81$ Evaluate using square roots.

a)

x = 5, x = 9

b)

x = 4, x = -14

c)

x = $\pm2\sqrt{19}$

d)

x = $\pm$ 9

31.

$-5x^2=-500$ Evaluate using square roots.

a)

$x=\pm100$

b)

$x\ =\pm10$

c)

No solution

d)

$x=\pm10\sqrt{5}$

32.

$7x^2+1=29$ Evaluate using square roots.

a)

$x=4,\ x\ =\ \frac{30}{7}$

b)

$x=\pm2$

c)

$x=\pm\sqrt{\frac{28}{7}}$

d)

$x=\pm4$

33.

$8x^2-7=193$ Evaluate using square roots.

a)

$x=\pm45$

b)

$x=\pm3\sqrt{5}$

c)

$x=\pm5$

d)

$x=\pm25$

34.

$\left(x+5\right)^2-6=43$ Evaluate using square roots.

a)

$x=2,\ x=-12$

b)

$x=\pm7$

c)

$x=5\pm\sqrt{7}$

d)

$x=-5\pm49$

35.

$\left(x-14\right)^2+13=14$ Evaluate using square roots.

a)

$x=\pm13$

b)

$x=\pm\sqrt{15}$

c)

$x=\pm14$

d)

$x=15,\ x=13$

36.

$3\left(x-5\right)^2=12$ Evaluate using square roots.

a)

$x=\pm9$

b)

$x=\pm3$

c)

$x=3,\ x=7$

d)

$x=-1,\ x=11$

37.

Solve 2x² + 7x - 15 = 0

a)

-1.5 or 5

b)

No Solution

c)

-5 or 1.5

d)

0.7 or 5

38.

Solve using the quadratic formula.
2x² - 9x - 35 = 0

a)

x = 7/2, x = -6

b)

x = -5/2, x =5

c)

x = -3/7, x =6

d)

x = -5/2, x = 7

39.

Solve 8x² - 6x + 1 = 0

a)

No Solution

b)

0 or 1

c)

-0.5 or -0.25

d)

0.25 or 0.5

40.

Use the quadratic formula to solve 2x² + 2x - 12?

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

41.

Use the quadratic formula to find the solutions for

y = 2x² - 9x + 5

a)

-8.14 and 6.14

b)

-4.07 and 3.07

c)

3.9 and 0.6

d)

ZERO solutions

42.

Solve
2x² + 17x + 21 = 0

a)

x= ^-21/₂, -17

b)

x= ²/₃, 16

c)

x=-7, ^-3/₂

d)

x=15, -³/₇

43.

$-r^2-7r-6=-2r$

a)

$1,-6$

b)

$2,\ 3$

c)

$-1,\ 3$

d)

$-3,-2$

44.

Solve Using the Quadratic Formula

x² + 4x - 40 = -8

a)

x = -10 and x = -4

b)

x = -4 and x = 10

c)

x = -8 and x = 4

d)

x = 8 and x = -4

45.

Solve using the quadratic formula:

4x²+ 4x + 1 = 0

a)

x = -½

b)

x = -2

c)

x = 0

d)

x = ½

Square Root Method and Quadratic Formula

Total questions: 45

Worksheet time: 4hrs 45mins

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