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WorksheetsAlgebra 2nd SW REVIEW
Total questions: 71
Worksheet time: 5hrs 41mins
Name
Class
Date
1.
Solve.
(x/4) + 10 = 34
(x/4) + 10 = 34
a)
x = 4
b)
x = 6
c)
x = 96
d)
x = 144
2.
Solve.
(2x - 3) / 4 = 9
(2x - 3) / 4 = 9
a)
x = 24
b)
x = 12
c)
x = 17.5
d)
x = 19.5
3.
2. Cheryl gets paid $8 per hour for her job at the record store and $15 for working late on Saturday. She made a total of $96 last week. Which equation models this situation?
a)
96h + 15 = 8
b)
h/96 = 8
c)
8h + 15 = 96
d)
h/8 = 96
4.
Laney pays $0.99 for each song she downloads from the Internet. In total, she paid $24.75 for songs from the Internet. How many songs does Laney download?
a)
20 songs
b)
25 songs
c)
30 songs
d)
35 songs
5.
When an equations simplifies to x=x, there is/are ____________ solution(s).
a)
infinitely many
b)
no
c)
one
d)
two
6.
3x+4 = 3x
a)
INFINITELY MANY SOLUTIONS
b)
NO SOLUTION
c)
0
d)
4
7.
What is the range of the graph?
a)
1 ≤ x ≤ 5
b)
1 < x < 5
c)
1 ≤ y ≤ 5
d)
1 < y < 5
8.
What is the domain of the graph?
a)
1≤ x ≤ 4
b)
1 < x < 4
c)
1≤ y ≤ 4
d)
1 < y < 4
9.
Does the graph represent a function?
a)
Yes, because the vertical line test shows there are no repeating input values
b)
No, because the vertical line test shows there are repeating input values
10.
Does this mapping diagram represent a function?
a)
No, because there are repeating input values
b)
Yes, because there are no repeating input values
11.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
12.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
13.
a)
Function
b)
Not a Function
14.
What is the domain of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
15.
What is the range?
a)
-4 < x ≤ 5
b)
-4 ≤ x < 5
c)
-3 < y < 3
d)
-3 ≤ y ≤ 3
16.
Bridget starts a company that sells cake in a bag. She spent $30 on bags and $75 on cake mix and icing. She bought enough to make 60 bagged cakes. If she sells the bagged cake for $8 per bag, which of the following choices represents the range of this function?
a)
(-105,375)
b)
(0,∞)
c)
(-105,∞)
d)
(0,480)
17.
Patrick bought a property worth $200,000. Each year the property gains $1,500 in value. He plans to sell the house within 20 years. Which of the following would represent the range of this function?
a)
(0,30k)
b)
(200k,230k)
c)
(170k,200k)
d)
(200k,203k)
18.
It has been observed that a plant is growing over time. When the plant arrived at the nursery, it was 2 cm tall, and it appears to be growing .5 cm per week. You plan to watch it grow for 8 weeks before you expect it to stop. Make a table of this information. What is the Range?
a)
Time, Range: 0 ≤ y ≤ 8 weeks
b)
Height, Range: 2 ≤ y ≤ 6 cm
c)
Height, Range: .5 ≤ y ≤ 8 cm
d)
Height, Range: 2 ≤ y ≤ 8 cm
19.
Which equation best fits the following word problem?
Chris buys 20 pounds of chocolate to resell at a sporting event. The chocolate cost him $50, and he plans to sell it for $4 per half pound.
p-Profit , c-half pounds of chocolate sold
Also, what is the total profit he could make from selling all of the chocolate?
Chris buys 20 pounds of chocolate to resell at a sporting event. The chocolate cost him $50, and he plans to sell it for $4 per half pound.
p-Profit , c-half pounds of chocolate sold
Also, what is the total profit he could make from selling all of the chocolate?
a)
p = 4c - 20; $60
b)
p = 4c - 50; $110
c)
p = 8c - 20; $140
d)
p = 8c + 20; 180
20.
What inequality does the number line graph represent?
a)
-x + 4 ≥ -1
b)
-2x + 3 > -7
c)
-x + 1 < -4
d)
2x + 3 ≥ 13
21.
To get an A on inequalities quiz, you need to score at least 50 points on a two-part test. You score 39 on the first part. What solution set represents how many more points you need?
a)
x ≤ 50
b)
x > 50
c)
x ≥ 11
d)
x > 11
22.
Two sides of a triangle have side lengths of 17 meters and 12 meters. What is the range of possible lengths for the third side?
a)
12 < x < 17
b)
12 < x < 29
c)
5 < x < 17
d)
5 < x < 29
23.
S = 3F - 24 Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
24.
Solving the formula P = 2L + 2W for W is not equivalent to which equation?
a)
(P-2L)/2 = W
b)
(P/2) - (2L/2) = W
c)
(1/2)P - L = W
d)
P - (1/2)L = W
25.
If 37 less than the product of 15 and a number is 38, which of the below items is true? Write an equation to find the solution.
a)
The solution is -5.
b)
The solution is 60.
c)
The equation is
37 - 15x = 38
37 - 15x = 38
d)
The equation is
15x - 37 = 38
15x - 37 = 38
26.
(x/5)-g=4
solve for x
solve for x
a)
x=20+5g
b)
x=(4+g)/5
c)
x=5g+4
d)
x=4g+5
27.
Ted bought a dolphin poster for $12. He now has $5. If m represents the amount of money he had before buying the poster, which of the following equations represents this situation?
a)
m - 12 = 5
b)
m - 5 = 12
c)
m + 5 = 12
d)
m + 12 = 5
28.
Downloading Music
Chris is comparing two music downloading websites. The first site charges a $15 membership fee and then charges $0.50 per song. The second website has no membership fee, but they charge $0.80 per song.
What equation could be used to find the number of songs where the two sites charge the same amount?
Chris is comparing two music downloading websites. The first site charges a $15 membership fee and then charges $0.50 per song. The second website has no membership fee, but they charge $0.80 per song.
What equation could be used to find the number of songs where the two sites charge the same amount?
a)
15x + 0.50 = 0.80x
b)
15 + 50x = 0.80x
c)
15 + 0.50x = 0.80x
d)
15.50 = 0.80x
29.
Mrs. Schmidt's family bought lunch from Culvers. They also bought some sodas from Quick Trip for $5.00. The meals cost $6.00 each. The total cost of the lunch and soda was $41.00. Let x represent the cost of the number of meals that Mrs. Schmidt bought. Write the equation and solve for x.
a)
-5+6x = 41, 4 meals
b)
6x + 5 = 41, 6 meals
c)
6x = 36 meals
d)
5 + 6x = 41, 7 meals
30.
2. Cheryl gets paid $8 per hour at her job at the record store. She made a total of $96 last week. Write a multiplication equation to show how many hours she worked last week.
a)
96h = 8
b)
h/96 = 8
c)
8h = 96
d)
h/8 = 96
31.
In order to join an online learning community, there is a $20 startup fee and a $5 each month. Write an equation in slope-intercept form that models this situation.
a)
y = 20x + 5
b)
y = 5x +20
32.
Suppose that a bike rents for $4 plus $1.50 per hour. This situation can be modeled by the equation : y = 1.50x + 4. Which statement below properly describes the slope of this scenario?
a)
The slope is $4. It represents the initial fee.
b)
The slope is $1.50. It represents the price per hour to rent the bike.
c)
The slope is x. It represents the number of hours you rent the bike.
d)
The slope is y. It represents the total cost to rent the bike.
33.
Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation. After how many hours will the bike rental cost a total of $10?
a)
4 hours
b)
3 hours
c)
2 hours
d)
1 hour
34.
An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute. This situation can be modeled by the equation:
y = 30,000ft - 2,000ft(x)
Use the equation to find the altitude of the plane after 5 minutes.
***altitude means height
y = 30,000ft - 2,000ft(x)
Use the equation to find the altitude of the plane after 5 minutes.
***altitude means height
a)
20,000 feet after 5 minutes
b)
40,000 feet after 5 minutes
c)
148,000 feet after 5 minutes
35.
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting.
a)
C = 5h + 3
b)
C = 3h + 5
c)
H = 5c + 3
d)
H = 3c + 5
36.
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work?
a)
$425 for 8 hours of work
b)
$250 for 8 hours of work
37.
In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation. After how many months will the total cost be $58?
a)
7 months
b)
6 months
c)
5 months
d)
4 months
38.
In order to join a yoga club there is a $100 annual fee and a $5 fee for each class you attend. Write an equation in slope-intercept form that models this situation. After how many classes will the total cost be $200?
a)
20 classes
b)
15 classes
c)
10 classes
d)
200 classes
39.
Find the slope of the line that passes through
(-2, 8) and (0, 8)
(-2, 8) and (0, 8)
a)
0
b)
-2
c)
2
d)
1/2
40.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
41.
Find the slope from the table:
a)
-2/5
b)
5/-2
c)
5/2
d)
2/5
42.
What is the slope?
a)
$2/1 mile drive
b)
$1/2 miles driven
c)
2 miles driven/$1
d)
1 mile driven/$2
43.
a)
2/3 feet per second
b)
3/2 feet per second
c)
2 feet per second
d)
3/5 per second
44.
At 0 seconds, Mrs. Taylor was 10 feet off the ground. At 5 seconds, she was 20 feet off the ground. What is her rate in feet per second?
a)
10 feet per second
b)
5 feet per second
c)
2 feet per second
d)
6 feet per second
45.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
46.
Which statement matches the graph?
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
47.
Write the equation of the line in slope-intercept form containing the points: (1, -8) & (0, -3)
a)
y=-5x-8
b)
y=-(1/5)x-3
c)
y=5x-3
d)
y=-5x-3
48.
Write the point-slope form of the equation of the line that goes through the point (4,2) and is parallel to y=(-3/4)x-5
a)
y-2=4/3(x-4)
b)
y-4=-3/4(x-2)
c)
y+2=-3/4(x+4)
d)
y-2=-3/4(x-4)
49.
What is the slope of the line perpendicular to y=(-5/2)x+7
a)
-5/2
b)
5/2
c)
-2/5
d)
2/5
50.
Find the slope of a line perpendicular to -4x-2y=16
a)
1/2
b)
2
c)
-1/2
d)
-4
51.
Find the equation of the line that is parallel to the line 2x – 3y = 9 and goes through the point (4, –1).
a)
y=(2/3)x-11/3
b)
y=(-3/2)x+11/3
c)
y=(2/3)x-5/3
d)
y=(2/3)x-11/3
52.
Find the equation of the line that is perpendicular to the line 2x – 3y = 9 and goes through the point (4, –1).
a)
y=(2/3)x-11/3
b)
y=(2/3)x+11/3
c)
y=(-3/2)x-5/3
d)
y=(-3/2)x+5
53.
How did the equation shift from the parent function? y = x + 2
a)
Translation up 2
b)
Translation down 2
c)
steeper
d)
flipped
54.
How did the equation shift from the parent function?
y = 3f(x) - 2
y = 3f(x) - 2
a)
less steep and translate down 2
b)
Translate up 2
c)
Translate down 2
d)
steeper and translate down 2
55.
How did the equation shift from the parent function? y = 1/2x
a)
Steeper
b)
shift up
c)
Less steep (or flatter)
d)
shift down
56.
How did the equation shift from the parent function? y = 1/2x
a)
Steeper
b)
shift up
c)
Less steep (or flatter)
d)
shift down
57.
How did the equation shift from the parent function? y = -3f(x) + 5
a)
Reflection over x-axis, steeper, up 5
b)
Reflection over y-axis
c)
Steeper, down 5
d)
Moved right
58.
How did the equation shift from the parent function? y = -x
a)
Up
b)
Reflection
c)
Down
d)
Less steep
59.
How did the equation shift from the parent function? y = 4f(x - 3)
a)
Steeper and right 3
b)
Less steep and down 3
c)
Steeper and left 3
d)
Down
60.
How did the equation shift from the parent function? y = f(x + 7)
a)
Up 7
b)
Down 7
c)
Left 7
d)
Right 7
61.
Order the following equations from steepest to flattest
1. y = 5x
2. y= 0.5x
3. y= -3x
4. y= 1/3 x
1. y = 5x
2. y= 0.5x
3. y= -3x
4. y= 1/3 x
a)
1, 3, 2, 4
b)
2, 4, 3, 1
c)
1, 2, 4, 3
d)
2, 3, 4, 1
62.
How did the equation shift from the parent function? y=(1/2)x+11
a)
Vertical stretch and shift up 11
b)
Horizontal compress and shift down 11
c)
Vertical compress and shift up 11
d)
Horizontal stretch and shift down 11
63.
How did the equation shift from the parent function? y = -3f(x) + 5
a)
Reflection over x-axis, steeper, up 5
b)
Reflection over y-axis
c)
Steeper, down 5
d)
Moved right
64.
Which transformation will occur if f(x) = x is replaced with 2⋅f(x)?
a)
Vertical stretch
b)
Vertical compression
c)
Vertical translation up by 2 units.
Horizontal stretch
Horizontal stretch
d)
Horizontal compression
65.
Describe the effects on the linear parent function:
-1/2 f(x - 4)
-1/2 f(x - 4)
a)
Vertical Compression by a factor of -1/2 & a Horizontal Translation left 4
b)
Vertical Reflection & Vertical Compression by a factor of 1/2 & a Horizontal Translation right 4
c)
Horizontal Reflection & Horizontal Stretch by a factor of 1/2 & Horizontal Translation right 4
d)
Vertical Reflection & Vertical Stretch by a factor of 1/2 & Horizontal Translation right 4
66.
Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.
f(x)=2x-3, g(x)=f(x)-4
f(x)=2x-3, g(x)=f(x)-4
a)
g is a horizontal translation right 4 units
b)
g is a vertical translation up 4 units
c)
g is a horizontal translation left 4 units
d)
g is a vertical translation down 4 units
67.
Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.
f(x)=3x, g(x)=-f(x)
f(x)=3x, g(x)=-f(x)
a)
g is a reflection on the x-axis
b)
g is a reflection on the y-axis
c)
g is a vertical stretch
d)
g is a horizontal stretch
68.
An internet service provider charges customers $80 per month for its service, with no installation fee. The cost to a customer is represented by c(m)=80m, where m is the number of months of service. To attract new customers, the provider reduces the monthly fee to $60, with an installation fee of $25. The cost to a new customer is represented by s(m)=60m+25 where m is the number of months of service. Describe the transformations from the graph of c to the graph of s.
a)
Vertical stretch of ¾ and a translation 25 units up
b)
Vertical stretch of 60 and a translation 25 units up
c)
Horizontal stretch of 80 and a translation 25 units up
d)
Vertical shrink of ¾ and a translation 25 units up
69.
Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.
f(x)=x, g(x)=2x+3
f(x)=x, g(x)=2x+3
a)
g is a horizontal stretch and a translation 3 units left
b)
g is a vertical stretch and a translation 3 units up
c)
g is a vertical stretch and 3 units down
d)
g is a horizontal shrink and 3 units right
70.
What is the range of this function?
a)
-4 ≤ y ≤ 5
b)
-1 ≤ x ≤ 3
c)
All Real Numbers
d)
y ≥ -4
71.
What is the domain of the function?
a)
All Real Numbers
b)
-3 ≤ x ≤ 1
c)
y ≥ 4
d)
y ≤ 4
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