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Unit 5 Test #1 Review

Total questions: 14

Worksheet time: 7mins

Name
Class
Date
1.

Solve the following:

 4(6x+24)=64(x4)4^{\left(6x+24\right)}=64^{\left(x-4\right)} 

a)

x = -12

b)

x = 3

c)

x = 11

d)

x = -5

2.

Solve the following:

 log3(5x+2)+8=11\log_3\left(5x+2\right)+8=11 

a)

x = -15

b)

x = 35

c)

x = 5

d)

x = -1

3.

What is the solution to the following?

 x4+6=10\sqrt{x-4}+6=10 

a)

x = 6

b)

x = 260

c)

None

d)

x = 20

e)

x = -12

4.

What is the extraneous solution to the following?

 x4+6=10\sqrt{x-4}+6=10 

a)

x = 6

b)

x = 260

c)

None

d)

x = 20

e)

x = -12

5.

What is the solution to the following?

 3x+7=x13\sqrt{3x+7}=\sqrt{x-13} 

a)

x = 3

b)

x = -4

c)

x = -10

d)

None

e)

x = 8

6.

What is the extraneous solution to the following?

 3x+7=x13\sqrt{3x+7}=\sqrt{x-13} 

a)

x = 3

b)

x = -4

c)

x = -10

d)

None

e)

x = 8

7.

What is the solution to the following?

 3x6+8=x\sqrt{3x-6}+8=x 

a)

None

b)

x = 5

c)

x = -3

d)

x = -12

e)

x = 14

8.

What is the extraneous solution to the following?

 3x6+8=x\sqrt{3x-6}+8=x 

a)

None

b)

x = 5

c)

x = -3

d)

x = -12

e)

x = 14

9.

What is the solution to the following?

 3x+2+13=73\sqrt{x+2}+13=7 

a)

x = 2

b)

None

c)

x = -49

d)

x = -24

e)

x = 42.444

10.

What is the extraneous solution to the following?

 3x+2+13=73\sqrt{x+2}+13=7 

a)

x = 2

b)

None

c)

x = -49

d)

x = -24

e)

x = 42.444

11.

What is the solution to the following?

 3x76=2^3\sqrt{x-7}-6=-2 

a)

x = 519

b)

x = 57

c)

x = 71

d)

None

e)

x = -18

12.

What is the extraneous solution to the following?

 3x76=2^3\sqrt{x-7}-6=-2 

a)

x = 519

b)

x = 57

c)

x = 71

d)

None

e)

x = -18

13.

Which points match the graph of the following?

 f(x)=x3+2f\left(x\right)=\sqrt{x-3}+2 

a)

(0, -.5), (1, 1), (4, 3)

b)

(3, 2), (4, 3), (7, 4)

c)

(-5, 0), (3, 2), (5, 4)

d)

(-1, 1), (0, 2), (3, 4)

14.

Which points match the graph of the following?

 g(x)=3x+45g\left(x\right)=^3\sqrt{x+4}-5 

a)

(-8, -10), (-1, -8), (4, -5), (8, 8), (16, 10)

b)

(-5, -4), (-4, -1), (-3, 2), (-2, 5), (-1, 8)

c)

(-12, -7), (-5, -6), (-4, -5), (-3, -4), (4, -3)

d)

(-4, -5), (-3, -4), (0, -3), (5, -2), (12, -1)