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HA2 Solving by Square Root Property

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

Solve

(x + 3)2 = 25

a)

x = 5 or x = -5

b)

x = 2 or x = -8

c)

x = 2 or x = -2

d)

x = -3 or x = 5

2.

Solve 2(x + 1)2 = 32

a)

x = 4 or x = -4

b)

x = 29 or x = -31

c)

x = 15 or x = -17

d)

x = 3 or x = -5

3.

(x - 1)2 = 64

a)

x = 9 or x = -9

b)

x = 17 or x = -15-5

c)

x = 7 or x = -9

d)

x = 9 or x = -7

4.

Solve by using the square root property 2x2−8 = 1002x^2-8\ =\ 100  


a)

x = ±√54

b)

x = ±3√6

c)

x = ± 9√6

d)

x = ±2√27

5.

Solve for x:

-(x+6)2 +19 = -30

a)

x=7,12

b)

x=±7

c)

x=1,-13

d)

x=43,-55

6.

(x−3)2=−16\left(x-3\right)^2=-16  

a)

−3±4i-3\pm4i  

b)

3±4i3\pm4i  

c)

3±43\pm4  

d)

3±2i3\pm2i  

7.

Solve by taking square roots:

k2 - 6 = -50

a)

k = ±4i√11

b)

k = ±4√11

c)

k = ±2i√11

d)

k = ±2√11

8.

Solve by taking square roots:

-3b2 - 4 = 26

a)

k = ±2i√30

b)

k = ±i√30

c)

k = ±2i√10

d)

k = ±i√10

9.

Solve by taking square roots.

2x2 - 8 =100

a)

x = ±√54

b)

x = ±3√6

c)

x = ± 9√6

d)

x = ±2√27

10.

x24 + 2 = 6\frac{x^2}{4}\ +\ 2\ =\ 6  

a)

±4\pm4  

b)

±22\pm\sqrt{22}  

c)

±4\pm\sqrt{4}  

d)

None of these