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Applied Math review Algebra I to Algebra II

Total questions: 108

Worksheet time: 5hrs 43mins

Name
Class
Date
1.
Solve for x:
-4x = 44
a)
x = 48
b)
x = -11
c)
x = 40
d)
x = -176
2.
Solve for x
17 = x + 3
a)
x = 20
b)
x = 14
c)
x = 13
d)
x = 19
3.
Which equation has x = 5 as the solution?
a)
x + 15 = 10
b)
2x = 5
c)
2x = 10
4.
What equation matches this situation?
Robyn had some video games then bought 4 more.  Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
5.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
6.
Solve   -3x + 5 = -16
a)
9
b)
8
c)
-7
d)
7
7.
Solve   -5t + 9 = 24
a)
-3
b)
3
c)
12
8.
12 = 4 - 4x
a)
10
b)
8
c)
4
d)
2
9.
4x + 22 = -34
a)
-14
b)
-22
c)
16
d)
-20
10.

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

a)

24-10=7x

b)

7x- 24=10

c)

7x+ 10=24

d)

10+x=14

11.
WRITE AN EQUATION
You bought a $5 magazine and four
erasers. You spent a total of $25. How
much did each eraser cost?
a)
5+x=25
b)
5+4x=25
c)
5x=25
d)
23-5=4x
12.
x + 11/2  = 53/4
a)
x = 4 1/4
b)
x = 4 5/4
c)
x = 4 2/2
d)
x = 5
13.
x - 5/6  = 10
a)
x = 10 5/6
b)
x = 9 1/6
c)
x = 9 5/6
14.
a)

b= 7/18

b)

b= 14

c)

b= 4/9

d)

None of the above

15.
a)
c = 18/10
b)
c = 9/20
c)
c = 1   4/5
d)
none of the above
16.

(-6/5)k = 12

a)

-10

b)

10

c)

-60

d)

60

17.
Solve I=Prt for P.
a)
P=Irt
b)
P=I/(rt)
c)
P=rt/I
d)
P=rt
18.
Solve:
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
19.
Solve:
2x + 1 = 2x - 1
a)
No Solution
b)
x = 0
c)
Infinitely Many Solutions
20.
How many solutions does the following equation have?
−5 + 7x = 7x + 5
a)
One Solution
b)
No Solutions
c)
Infinitely Many Solutions
21.
How many solutions does the following equation have?
3x − 3 = −3 + 3x
a)
One Solution
b)
No Solutions
c)
Infinitely Many Solutions
22.
Solve
0 = 4g
a)
g = 4
b)
g = 1
c)
g = -4
d)
g = 0
23.
Solve:
5y+34 = -2(-7y+1)
a)
y = -4
b)
y = 9
c)
y = 4
d)
y = 36/19
24.
Solve for x:
4(1-x)+3x=-2(x+1)
a)
x = -6
b)
x = 6
c)
x = 3
25.
m - 5 > 10
a)
m is less than 15
b)
m is greater than 5
c)
m is greater than 15
d)
m is less than 5 
26.
- 2k > 18
a)
k is greater than 20
b)
k is less than negative 9
c)
k is greater than negative 9
d)
k is less than 36 
27.
s + 9 ≥ -25
a)
s ≥ -18
b)
s ≥ -34
c)
s ≤ 18
d)
s ≥ 34
28.
4x - 2 ≤ -22
a)
x ≥ -5
b)
x ≥ -6
c)
x ≤ -6
d)
x ≤ -5
29.
7b - 3 < 11
a)
b < 2
b)
84 > b
c)
b > 2
d)
b < 84
30.
6 - 2h > 30
a)
h < 24
b)
18 > h
c)
h > 12
d)
h < -12
31.
1 + 3r > 10
a)
r < 11
b)
r > 3
c)
27 > r
d)
r > 27
32.
Find the area.
a)
60 in
b)
60 in2
c)
50 in
d)
50 in2 
33.
What is the area of this figure?
a)
40 square units
b)
40 units
c)
40
34.
What is the area of this triangle?
a)
12 sq. cm.
b)
6 sq. cm.
c)
12 cm
d)
6 cm
35.
Find the area of the figure:
a)
30 ft2
b)
60 ft2
c)
16 ft2
d)
36 ft2
36.
Find the area of the following figure:
a)
70 m2
b)
154 m2
c)
112 m2
d)
224 m2
37.
Find the area of this shape
a)
49 inches squared
b)
42 inches squared
c)
153 inches squared
d)
200 inches squared
38.
find the area of the circle below.
a)
100 cm
b)
225 cm
c)
9 cm
d)
28.26 cm
39.

The diagram shows the spot on a basketball court called the “key”. What is the area of the key? Use 3.14 for ∏ .

a)

284.52 ft2

b)

228 ft2

c)

317 ft2

d)

116.71 ft2

40.
What is the area of the yellow?
a)
78.5 mi2
b)
19.625 mi2
c)
39.25 mi2
d)
31.4 mi2
41.
What is the area of the shaded region?
a)
20 sq cm
b)
4 sq cm
c)
30 sq cm
d)
24 sq cm
42.
What is the area of the composite figure?
a)
40 sq cm
b)
65 sq cm
c)
52.5 sq cm
d)
25 sq cm
43.
What is the area of the composite figure?
a)
80 cm2
b)
16 cm2
c)
96 cm2
d)
32 cm2
44.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
45.
3x-5x
a)
2x
b)
8x
c)
-2x
d)
15x2
46.
Simplify the expression: 3x + 2x
a)
5x
b)
x
c)
6x
d)
5
47.
Simplify the expression: 2x + 1 + 7x 
a)
10x
b)
10
c)
9x + 1
d)
9 + 1x
48.
n -10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n -13
49.
Simplify the expression:
8(5 + w)
a)
40 + w
b)
40+8w
c)
85 + 8w
d)
13+8w
50.
Simplify the expression:
5(p - 6)
a)
5p - 30
b)
5p - 5
c)
p - 30
d)
5p + 11
51.
(b + 8)5
a)
b + 40
b)
5b - 40
c)
5b + 40
d)
5b + 8
52.
(x - 6)4
a)
24 - 4x
b)
4x - 6
c)
x - 24
d)
4x - 24
53.
Which of the following is equivalent to 5(2x + 6)?
a)
10x + 30
b)
10x + 6
c)
40x
d)
2x + 30
54.
Write an equation for this relationship.
a)
y=4x
b)
y=1/8x
c)
y=1/4x
d)
y=8x
55.
The amount of money earned on a job is directly proportional to the number of hours worked.  If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?
a)
$2
b)
$308
c)
$1.57
d)
$265
56.
Is the given table a direct variation? If so, what is the constant?
a)
Yes; 1/4
b)
Yes; 4
c)
Yes; 2
d)
No
57.
In a direct variation, y=39 when x=3.  Find the value of y when x=2.
a)
26
b)
3
c)
58.5
d)
2
58.
Is this a direct variation?
y=2x
a)
yes
b)
no
59.
Does the relationship represent direct variation?
a)
Yes
b)
No
60.
Write the equation for the table given.
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
61.
Find the unit rate:  $3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples?
a)
$1.00 per pound
b)
$3.60 per pound
c)
$1.20 per pound
d)
$1.10 per pound
62.
What is the constant of proportionality?
a)
8
b)
16
c)
24
d)
2
63.
Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours? 
a)
$394
b)
$440
c)
$472.80
d)
$512.20
64.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
65.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
66.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
67.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
68.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
69.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
70.
What direction is an undefined slope?
a)
horizontal
b)
vertical
71.
What is the slope?
a)
$2/1 mile drive
b)
$1/2 miles driven
c)
2 miles driven/$1 
d)
1 mile driven/$2
72.
Slope is know as rise/
a)
run
b)
fall
c)
none
d)
rise
73.
What type of slope does the graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined
74.
What type of slope does the following graph have?
a)
Postive
b)
Negative
c)
Zero Slope
d)
Undefined
75.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
76.
Find the slope of the line that passes through (10, -8) and (1, 12).
a)
20/9
b)
-20/9
c)
4/9
d)
9/4
77.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
78.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
79.

Is this equation y = 14x showing proportionality?

a)

yes

b)

no

80.
Is this graph proportional?
a)
Yes
b)
No
81.
What makes a graph proportional?
a)
Linear
b)
The line goes through the origin
c)
Curvy line
d)
Linear and the line goes through the origin
82.
Ross walked 7 miles in 2 hours. What is his unit rate of miles per hour?
a)
3.5 miles per hour
b)
7/2 miles per hour
c)
7.2 miles per hour
d)
3 miles per hour
83.
8.  Find the unit rate of $97.50 for 15 pizzas.
a)
$6 per pizza
b)
$82.50 per pizza
c)
$5.50 per pizza
d)
$6.50 per pizza
84.
Hadley is driving to Colorado. She has been traveling for 4 hours, and she has driven 260 miles. Find her speed in miles per hour.
a)
85
b)
65
c)
60
d)
70
85.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
86.
Is this table proportional?
a)
Yes
b)
No
87.
Write an equation for this situation.
a)
y=9.75x
b)
y=19x
c)
y=19.25x
d)
y=9.5x
88.
Which equation shows a NON-proportional relationship of x and y?
a)
y = 5x
b)
y = -5.6x
c)
y = x + 3
d)
y = 1/2x
89.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
90.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
91.
What is the volume of this rectangular prism?
a)
26 cubic units
b)
24 cubic units
c)
24 square units
d)
26 square units
92.
What is the volume of this rectangular prism?
a)
27 cubic units
b)
18 cubic units
c)
9 cubic units
d)
3 cubic units
93.
When you are finding the length x width of a 3-dimensional figure, this is also called the:
a)
base
b)
perimeter
c)
volume
d)
width
94.
Which formula can be used to find the volume of a rectangular prism?
a)
length x width
b)
length x width x height
c)
height x length
d)
length + width + height
95.
What is a unit cube?
a)
A cube with a length, width, and height of 2 units.
b)
A rectangular prism with a length and width of 1 unit, and a height of 2 units.
c)
A square.
d)
A cube with a length, width, and height of 1 unit.
96.
What does the "B" in the volume formula V = B x h stand for?
a)
Bottom of the object
b)
Box
c)
Between
d)
Area of the base
97.
What shape is the base? What is the area of the base (B)?
a)
Rectangle; 60in2
b)
Triangle; 12 in2
c)
Rectangle; 32 in2
d)
Triangle; 6 in2
98.
Find the volume of the figure. Round to the nearest tenth.
a)
80 cm³
b)
40 cm²
c)
80 cm2
d)
40 cm³
99.
Find the volume:
a)
960 cm 3
b)
240 cm 3
c)
960 cm 2
d)
1920 cm 3
100.
Find the Volume
a)
428.4 cm3
b)
412.8 cm3
c)
404.2 cm3
d)
400 cm3
101.
Find the volume of the cylinder.
a)
4239
b)
1696
c)
1130
d)
565
102.
Find the volume of the cylinder.
a)
282.6
b)
516.2
c)
133
d)
214
103.
The formula for the Volume of ...
a)
Spheres
b)
Cones
c)
Cylinders
104.
The formula for the Volume of ...
a)
Cylinders
b)
Spheres
c)
Cones
105.
The formula for the Volume of ...
a)
Cylinder
b)
Cone
c)
Sphere
106.
 Find the volume of the Cylinder
a)
7230
b)
6621
c)
1130
d)
907
107.
Find the Volume if the height is 10 cm and radius 3 cm?
a)
250
b)
200
c)
283
d)
180
108.
Find the Volume of the Sphere
a)
904.32 ft3
b)
7,234.56 ft3
c)
150.72 ft3