WorksheetsAlgebra I, Chapter 10 REVIEW
Total questions: 97
Worksheet time: 6hrs 14mins
Name
Class
Date
1.
What are the transformations of this functions compared to the parent function?
a)
Shifted down 2
b)
Shifted up 2
c)
Shifted left 2
d)
Shifted right 2
2.
What type of function is shown?
a)
cube root
b)
square root
c)
logarithm
d)
exponential
3.
What is the equation of the graph?
a)
y = √(x - 3)
b)
y = √(x) + 3
c)
y = √(x - 5) + 4
d)
y = √(x + 5) + 4
4.
What is the equation of the graph?
a)
y = -√(x + 5)
b)
y = √(x) - 2
c)
y = √(x - 3)
d)
y = √(x) + 3
5.
What is the equation of the graph?
a)
y = -√(x + 5)
b)
y = -√(x + 3)
c)
y = -√(x - 3)
d)
y = -√(x) + 3
6.
What is the equation of the graph?
a)
y = √(x - 3)
b)
y = √(x) + 3
c)
y = √(x - 5) + 4
d)
y = √(x + 5) + 4
7.
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)
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.
What function best describes this graph?
a)
f(x)= -√(x+4) -2
b)
f(x)= √(x-4) -2
c)
f(x)= -√(x-4) -2
d)
f(x)= √(x+4) +2
10.
Match the correct equation with the given graph.
a)
y = √(x) + 2
b)
y = √(x) - 2
c)
y = √(x + 2)
d)
y = √(x - 2)
11.
What are the transformations for the graph of
the parent function f(x) = √x to the function above
the parent function f(x) = √x to the function above
a)
Vertical Stretch by a factor of 2; translated down 5 units
b)
Shifted right 2 units and down 5 units
c)
Vertical stretch by a factor of 2; translated left 5 units
d)
Vertical stretch by a factor of 2; translated right one unit
12.
What are the transformations to the graph compared to the parent function?
a)
Shifted right 2, shifted up 3, and reflected over the y-axis
b)
Shifted left 2, shifted up 3, and reflected over the y-axis
c)
Shifted left 2, shifted up 3, and reflected over the x-axis
d)
Shifted right 2, shifted up 3, and reflected over the x-axis
13.
What is the range of this function?
f(x) = √(x-1) -3
f(x) = √(x-1) -3
a)
{f(x) ∣ f(x) ≥ 1}
b)
{f(x) ∣ f(x) ≥ -1}
c)
{f(x) ∣ f(x) ≥ -3}
d)
{f(x) ∣ f(x) ≤ -3}
14.
What is the domain of this function?
f(x) = √(x-1) -3
f(x) = √(x-1) -3
a)
{x ∣ x ≥ 1}
b)
{x ∣ x ≤ 1}
c)
{x ∣ x ≥ -3}
d)
{x ∣ x ≥ -1}
15.
What is the domain of this function?
f(x) = √(x-2) + 4
f(x) = √(x-2) + 4
a)
{x ∣ x ≥ 4}
b)
{x ∣ x ≥ -2}
c)
{x ∣ x ≤ 2}
d)
{x ∣ x ≥ 2}
16.
What is the range of this function?
f(x) = √(x-2) + 4
f(x) = √(x-2) + 4
a)
{f(x) ∣ f(x) ≥ -2}
b)
{f(x) ∣ f(x) ≥ 2}
c)
{f(x) ∣ f(x) ≥ 4}
d)
{f(x) ∣ f(x) ≥ -4}
17.
Describe the transformation:
y = -√x
y = -√x
a)
Translate Down 1
b)
Translate Right 1
c)
Reflection over the x-axis
d)
Reflection over the y-axis
18.
a)
y < -√(x+4) + 3
b)
y > -√(x+4) + 3
c)
y > -√(x - 4) + 3
d)
y > -√(x - 4) - 3
19.
a)
y < √(x + 3) -4
b)
y > √(x - 4) + 3
c)
y < √(x - 4) + 3
d)
y ≤ √(x+4) + 3
20.
a)
y ≥ √(2x + 3) - 2
b)
y ≥ √(2x + 3)
c)
y ≥ √(3x - 2) - 2
d)
y ≥ √(2x - 3) - 2
21.
What is the domain of the function
y = √(2x + 3) - 2 ?
y = √(2x + 3) - 2 ?
a)
{x ∣ x ≥ 2/3}
b)
{x ∣ x ≥ -2/3}
c)
{x ∣ x ≥ 3/2}
d)
{x ∣ x ≥ -3/2}
22.
Simplfiy
a)
5√2
b)
0
c)
2√2
d)
-3√2
23.
Simplify
a)
√5
b)
-3√6
c)
√6
d)
6
24.
Simplify
a)
40
b)
√14
c)
-10√10
d)
2√10
25.
Simplify
a)
9
b)
5√2 + 2
c)
10√2
d)
2√2 + 3√30
26.
a)
A
b)
B
c)
C
d)
D
27.
a)
8√6
b)
8√12
c)
12√6
d)
12√12
28.
a)
3√3x
b)
3√x
c)
2√3x
d)
2√x
29.
The square root of 36x2 is __________
a)
6
b)
6x
c)
4x
d)
6x2
30.
The square root of 25x6 is ?
a)
25x
b)
5x2
c)
5x3
d)
x3
31.
The square root of 64x8y6 is ?
a)
32x4y3
b)
8xy
c)
8x4y3
d)
16
32.
The square roots of all perfect squares are___________?
a)
integers or whole numbers
b)
irrational
c)
fractions
d)
divisible by 2
33.
Simplify:
a)
8x9
b)
8x3
c)
8x4√x
d)
8x3√x
34.
Which expression with a fractional exponent best represents √7 ?
a)
7 ½
b)
7¼
c)
7⅓
d)
27
35.
√5 + √20
a)
5
b)
25
c)
3√5
d)
2√3
36.
Simplify:
a)
2√3√14
b)
4√42
c)
2√42
d)
4√3√14
37.
Simplify √40
a)
4√10
b)
10√4
c)
2√10
d)
10√2
38.
Simplify √24
a)
4√6
b)
3√8
c)
2√6
d)
6√2
39.
Simplify 4√75
a)
4√5
b)
12√5
c)
20√3
d)
7√3
40.
Simplify completely.
a)
8√3xy
b)
y√24xy
c)
8y√3xy
d)
8√24x
41.
√98 + 5√2
a)
8√3
b)
12√2
c)
7√2
d)
7√3
42.
√300 + √75
a)
15√3
b)
√375
c)
20√5
d)
16√5
43.
a)
0
b)
√5
c)
1
d)
-2√15
44.
Simplify:
a)
b)
c)
d)
45.
Simplify:
a)
b)
c)
d)
46.
Simplify completely.
a)
b)
c)
d)
47.
Simplify the following radical completely
a)
b)
c)
d)
48.
Simplify completely
a)
b)
c)
d)
49.
Simplify completely
a)
b)
c)
d)
50.
Rationalize the denominator.
a)
b)
c)
d)
51.
a)
b)
c)
d)
52.
a)
b)
c)
d)
53.
Simplify:
a)
b)
c)
d)
54.
a)
b)
c)
d)
55.
a)
b)
c)
d)
56.
Rationalize the denominator.
a)
2x3
b)
(x√35x) / 5
c)
(x√7x) / 25
d)
49x7y / 5
57.
Simplify.
a)
b)
c)
d)
58.
Simplify.
a)
b)
c)
d)
59.
Simplify.
a)
b)
c)
d)
60.
Simplify.
a)
b)
c)
d)
61.
Simplify.
a)
b)
c)
d)
62.
Simplify.
a)
b)
c)
d)
63.
Simplify.
a)
b)
c)
d)
64.
What are these?
a)
radicals
b)
radicands
c)
conjugates
d)
same terms
65.
What do you see?
a)
unlike radicals
b)
conjugates
c)
factoring tree
d)
like radicals
66.
Simplify.
a)
b)
c)
d)
67.
Simplify.
a)
b)
c)
d)
68.
(-2√7)(3√28)
a)
-6√14
b)
6√13
c)
-84
d)
-78
69.
Simplify:
√6 ⋅√6
√6 ⋅√6
a)
√36
b)
2√3
c)
12
d)
6
70.
Simplify:
√10 ⋅ √45
√10 ⋅ √45
a)
3√50
b)
8√2
c)
√450
d)
15√2
71.
Simplify -2√10 ⋅ 3√20
a)
-60√2
b)
10√2
c)
√30
d)
-6√200
72.
(-2√7)(3√28)
a)
-6√14
b)
6√13
c)
-84
d)
-78
73.
Simplify √30 ⋅ √20
a)
√600
b)
5√2
c)
10√6
d)
2√150
74.
If √3x = 5√3 , what is x?
a)
5
b)
25
c)
15
d)
45
75.
What is the square root symbol called?
a)
Radicand
b)
Radical
c)
The house
d)
It doesn't have a name
76.
The product of a number multiplied by itself is?
a)
Square Root
b)
Rectangle
c)
Circle
d)
Perfect Square
77.
Simplify 2√5(3√3+6√2)
a)
6√15+12√10
b)
15√6+30√10
c)
90
d)
6√10+12√6
78.
Multiply the radicals
(-7+√3)(4+√3)
a)
-21-3√3
b)
37+11√3
c)
21-3√3
d)
21+11√3
79.
(7 − √2)(5 + √3)
a)
35 + 7√3 − 5√2 − √6
b)
29 + 7√3 − 5√2
c)
35 +√10 − √7 −√6
d)
√50
80.
Simplify
a)
x²y√xy
b)
xy
c)
x²y²
d)
Can't Simplify
81.
a)
8
b)
16
c)
32
d)
40.5
82.
a)
5
b)
4
c)
41
d)
82
83.
a)
5
b)
33
c)
85
d)
21
84.
a)
1
b)
3
c)
224
d)
226
85.
a)
4
b)
-4
c)
2
d)
-2
86.
a)
2
b)
-2
c)
4
d)
-4
87.
a)
14
b)
-14
c)
6
d)
-6
88.
a)
9
b)
-9
c)
21
d)
-21
89.
a)
-7
b)
7
c)
5
d)
-6
90.
a)
-6
b)
6
c)
-5
d)
5
91.
a)
3
b)
-3
c)
2
d)
0
92.
a)
45
b)
15
c)
-15
d)
-45
93.
a)
0
b)
1
c)
-1
d)
no solution
94.
a)
3
b)
2
c)
-3
d)
-2
95.
The number under the radical sign or square root sign is called the ______.
a)
radical sign
b)
radicand
c)
factor
d)
exponent
96.
Please define the following word: Integer
a)
numbers that can be expressed in the form a/b, where a and b are integers and b is not equal to 0.
b)
…,-2,-1,0,1,2,...
c)
0,1,2,3...
d)
1,2,3,4...
97.
Add the following: 2√(5) +3√(5) + √(5)
a)
5√(5)
b)
6√(5)
c)
5√(15)
d)
6√(15)
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