WorksheetsUnit 7 Review
Total questions: 47
Worksheet time: 3hrs 37mins
Name
Class
Date
1.
If √(6b + 4) = 20, then what is the value of b?
a)
66
b)
64
c)
62
d)
60
2.
What is the extraneous solution of -x=√(2x+15)?
a)
-5
b)
-3
c)
3
d)
5
3.
Solve and check your solution(s).
a)
x = -2
b)
x = -2, 3
c)
x = -2, -3
d)
x = -3
4.
Solve and check your solution(s).
a)
x = 2, 3
b)
x = -2, -3
c)
x = -1, -6
d)
No solution
5.
Solve the equation.
a)
9
b)
18
c)
486
d)
54
6.
Solve and check your solution(s).
a)
x = 1
b)
x = 9
c)
x = all real solutions
d)
x = 9, 1
7.
Solve and check your solution(s).
a)
No solution
b)
x = 2
c)
x = 3, 2
d)
x = 3
8.
Which of these equations shifts a radical equation right 5 times and down once?
a)
y = √(x - 5) - 1
b)
y = √(x + 5) - 1
c)
y = √(x - 5) + 1
d)
y = √(x + 5) + 1
9.
Which of these equations shifts a radical equation left 3 times?
a)
y = √(x) + 3
b)
y = √(x) - 3
c)
y = √(x + 3)
d)
y = √(x - 3)
10.
Which equation matches the graph?
a)
y = √(x) + 2
b)
y = √(x) - 2
c)
y = √(x + 2)
d)
y = √(x - 2)
11.
Which equation matches the graph?
a)
y = √(x - 2) + 3
b)
y = √(x + 3) - 2
c)
y = √(x + 2) - 3
d)
y = √(x - 3) + 2
12.
What is the Range of ALL Square Root Functions?
a)
(−∞,∞): all real numbers
b)
[0,∞): x≥0
c)
(−∞,0]: x≤0
d)
All Square Root Functions are different.
13.
Find the domain of h(x):
a)
(-∞, +∞): all real numbers
b)
(-∞, -2) U (-2, ∞): x≠-2
c)
(2, ∞): x>2
d)
[-2, ∞): x≥-2
14.
Describe the transformation.
a)
right 5
b)
left 5
c)
up 5
d)
down 5
15.
Describe the transformation.
a)
Right 10
b)
Up 10
c)
Down 10
d)
Left 10
16.
Describe the transformation.
a)
Left 1, Reflect over x-axis, up 2
b)
Left 1, Reflect over y-axis, down 2
c)
Right 1, Reflect over x-axis, up 2
d)
Right 1, Reflect over y-axis, uo 2
17.
What is the domain of the graph of the radical function?
a)
all real numbers
b)
x≥-7
c)
x≥0
d)
x≥4
18.
Identify the Range
a)
y≥-2
b)
y≤-2
c)
All Real Numbers
d)
y≥0
19.
What is the domain of this graph?
a)
x ≥ -1
b)
x ≤ -1
c)
x ≥ 0
d)
x ≤ 0
20.
What is the range of the function in this graph?
a)
y ≤ 3
b)
y ≥ 3
c)
y ≤ 0
d)
y ≥ 0
21.
Simplify
a)
C
b)
A
c)
V
d)
E
22.
Rewrite in radical form
a)
A
b)
B
c)
C
d)
D
23.
Rewrite in radical form
a)
A
b)
B
c)
C
d)
D
24.
What is the value of 27⅓?
a)
27
b)
9
c)
3
d)
1/3
25.
Simplify the following expression:
a)
16
b)
32
c)
40
d)
64
26.
Simplify the following expression:
a)
2
b)
4
c)
16
d)
64
27.
Re-write the expression in radical form.
x2/3
x2/3
a)
(∛x)2
b)
√x3
c)
(1/x)
d)
∛x
28.
Simplify
(x²/³)²/⁵
(x²/³)²/⁵
a)
x⁴/¹⁵
b)
x¹⁶/¹⁵
c)
x⁶
d)
6x
29.
Simplify
a)
A
b)
B
c)
C
d)
D
30.
Simplify
a)
A
b)
B
c)
C
d)
D
31.
Simplify
a)
A
b)
B
c)
C
d)
D
32.
Solve
a)
A
b)
B
c)
C
d)
D
33.
Solve
a)
There is no solution because the solution x = 6 is extraneous
b)
x = 6
c)
x = 7
d)
x = 5
34.
Solve
a)
11
b)
5
c)
no solution
d)
-7
35.
a)
x = 19/6
b)
x = −3/2
c)
x = −6
d)
x = 38/3
36.
a)
x = −4/3
b)
No Solution
c)
x = 2
d)
x = −2
37.
a)
q = 12/17
b)
q = −12/17
c)
q = 12/23
d)
q = −12/23
38.
The gas pressure in a chamber varies directly with the temperature in the chamber. If the pressure in the chamber is 150 atmospheres (atm) when the chamber is at 50 degrees, what is the pressure in the chamber when the temperature of the chamber is 75 degrees?
a)
175 atm
b)
200 atm
c)
225 atm
d)
275 atm
39.
The number of words Maria typed varied directly with the amount of time she spent typing. If she typed 275 words in 5 minutes, how long would it take her to type 1,100 words?
a)
220 minutes
b)
20 minutes
c)
15 minutes
d)
4 minutes
40.
On a treasure map, the actual distance is directly related to the scaled distance. If 15 miles is represented by 3 centimeters, then how many centimeters on the treasure map are equivalent to 135 miles?
a)
27 cm
b)
675 cm
c)
529 cm
d)
32 cm
41.
The time required to complete a job varies inversely as the number of people working. It took 4 hours for 7 electricians to wire a building. How long would it have taken 3 electricians to have done the job?
a)
1 hr 43 min
b)
5 hr 15 min
c)
7 hr 30 min
d)
9 hr 20 min
42.
The cost for the company to ship the boxes varies inversely with the number of boxes being shipped. If 25 boxes are shipped at once, it will cost $10 per box. How much would it cost to ship only 10 boxes?
a)
$25
b)
$4
c)
$15
d)
$7
43.
What type of variation does this scenario represent?
The length of time you charge your cell phone
and the battery power
The length of time you charge your cell phone
and the battery power
a)
direct variation
b)
inverse variation
c)
joint variation
d)
none of these
44.
Suppose y varies directly as x.
If y = 22.5 when x = 15, find y when x = 20.
If y = 22.5 when x = 15, find y when x = 20.
a)
1.5
b)
337.5
c)
30
d)
16.875
45.
Suppose y varies jointly as x & z.
If y = -180 when z = 15
and x = -3,
then find y when x = 7 and z = -5.
If y = -180 when z = 15
and x = -3,
then find y when x = 7 and z = -5.
a)
-140
b)
140
c)
-4
d)
4
46.
Suppose p varies directly as r, and p varies inversely as t.
t = 20 when p = 4 and r = 2.
Find t when r = 10 and p = -5.
t = 20 when p = 4 and r = 2.
Find t when r = 10 and p = -5.
a)
80
b)
-80
c)
4
d)
-20
47.
a)
A
b)
B
c)
C
d)
D
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