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Worksheets

ACC 7th Grade Final Review pt 2

Total questions: 100

Worksheet time: 3hrs 54mins

Name
Class
Date
1.
Find the total surface area of the prism.
a)
48 square inches
b)
64 square inches
c)
88 square inches
d)
76 square inches
2.
Find the total surface area of the prism.
a)
161 square feet
b)
1,700 square feet
c)
75 square feet
d)
186 square feet
3.
Find the Surface Area
a)
556 cm2
b)
278 cm2
c)
680 cm2
d)
340 cm2
4.
Find the surface area of the rectangular prism.
a)
140 in.2
b)
83 in.2
c)
166 in. 2
d)
100 in.2
5.
Find the Surface Area
a)
15m2
b)
16m2
c)
18m2
d)
20m2
6.
Find the surface area of the square pyramid.
a)
15 square meters
b)
39 square meters
c)
69 square meters
d)
30 square meters
7.
Find the surface area of the square pyramid.
a)
645 square centimeters
b)
435 square centimeters
c)
210 square centimeters
d)
330 square centimeters
8.
What is the total surface area of the cylinder to the nearest square inch
a)
625 in2
b)
1300 in2
c)
1046 in2
d)
414 in2
9.
Find the lateral surface area of the figure.
a)
456 m2
b)
1444 m2
c)
1245 m2
d)
816 m2
10.
Find the lateral surface area of the cylinder.
a)
471.24 square centimeters
b)
157.08 square centimeters
c)
314.16 square centimeters
d)
296.72 square centimeters
11.
Find the surface area
a)
60.4 m2
b)
188.4 m2
c)
94.2 m2
d)
881.9 m2
12.
Solve for the volume.
a)
576 cm3
b)
288 cm3
c)
333 cm3
d)
28 cm3
13.
What is the volume of this prism?
a)
20 cubic feet
b)
8 cubic feet
c)
40 cubic feet
14.
Find the Volume
a)
134 ft3
b)
21 ft3
c)
264 ft3
d)
132 ft3
15.
What is the volume of this prism?
a)
20 cubic feet
b)
8 cubic feet
c)
40 cubic feet
16.
Find the volume of the figure.
a)
126 cm3
b)
907.5 cm3
c)
605 cm3
d)
55 cm3
17.

If you flip a penny, how many possible results are there?

a)

1

b)

1,2

c)

2

d)

heads, tails

18.

In order to figure out who will go first in a game, your friend asks you to pick a number between 1 and 9. What are the favorable outcomes of choosing an even number?

a)

4

b)

1,3,5,7

c)

2,4,6,8

d)

9

19.

A bag is filled with 4 red marbles, 3 blue marbles, 3 yellow marbles, and 2 green marbles. You randomly choose one marble from the bag. Find the number of ways the event can occur.

a)

12

b)

4

c)

3

d)

2

20.

A bag is filled with 4 red marbles, 3 blue marbles, 3 yellow marbles, and 2 green marbles. You randomly choose a red marble from the bag. What are the favorable outcomes?

a)

red

b)

red, blue, yellow, green

c)

4

d)

red,red,red,red

21.

A bag is filled with 4 red marbles, 3 blue marbles, 3 yellow marbles, and 2 green marbles. You randomly choose a green marble from the bag. What are the favorable outcomes?

a)

2

b)

green, green

c)

red, blue, yellow, green

d)

12

22.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
23.
What is the probability of spinning red?
a)
0
b)
5/12
c)
1/2
d)
3/4
24.
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”? 
a)
2/7
b)
5/49
c)
5/7
d)
10/49
25.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement.P(both marbles are purple)
a)
2/9
b)
1/3
c)
1/2
d)
1/4
26.
Experimental Probability is:
a)
What Will happen 
b)
What actually happens
c)
What should happen
d)
What I think Happens
27.
Theoretical Probability is?
a)
What Should happen
b)
What does happen
c)
What Will Happen
d)
What I want to Happen
28.

You have three sticks. Each stick has one red side and one blue side. You throw the sticks 10 times and record the results.


Use the table to find the experimental probability of tossing 3 blue.

a)

2/5

b)

2/10

c)

1/5

d)

3/10

29.
A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?
a)
3
b)
1/10
c)
3/10
d)
30%
30.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(orange,green)
a)
1/15
b)
2/15
c)
3/31
d)
1/5
31.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement.P(both marbles are purple)
a)
2/9
b)
1/3
c)
1/2
d)
1/4
32.
A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. P(purple then black)
a)
1/18
b)
2/5
c)
3/7
d)
4/9
33.
A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced.
P(black then white)
a)
2/45
b)
3/7
c)
1/18
d)
2/19
34.
What is the relationship of the angles
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical
35.
What is the relationship of the Angles
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side Interior
36.
What is the Angle Relationship? 
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side Interior
37.
What is the Angle Relationship
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side-Interior
38.
Which is a pair of corresponding angles?
a)
∠4 and ∠3
b)
∠4 and ∠1
c)
∠4 and ∠2
d)
∠4 and ∠8
39.
Which is a pair of alternate interior angles?
a)
∠3 and ∠6
b)
∠4 and ∠6
c)
∠3 and ∠7
d)
∠5 and ∠6
40.
Angle 1 = 27o
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
41.
What is the value of x?
a)
45
b)
54
c)
126
d)
135
42.
Angle B and Angle G are...
a)
Corresponding
b)
Alternate Interior
c)
Alternate Exterior
d)
Same-Side Interior
43.
Which pair of angles are congruent?
a)
A and C
b)
C and L
c)
B and W
d)
D and W
44.
Which pair of angles add up to 180 degrees?
a)
A and W
b)
C and X
c)
D and X
d)
A and G
45.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
46.
Solve for x.
a)
16
b)
11
c)
50
d)
6
47.
Solve for x.
a)
-8
b)
-6
c)
7
d)
-1
48.
Find the value of x.
a)
15
b)
16
c)
18
d)
19
49.
Solve for x
a)
6
b)
140
c)
20
d)
90
50.
Solve for x.
a)
20
b)
60
c)
90
d)
180
51.
In the following equation, what is the y-intercept?  
y = -3x + 7
a)
-3
b)
7
c)
-3/7
d)
3
52.
What is the slope in the equation:  y=4x+3
a)
3
b)
4x
c)
4
d)
x
53.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
54.
Find the slope.
a)
3/2
b)
-3/2
c)
(-0,-3)
d)
none of the above
55.
What type of slope does the following graph have?
a)
Postive
b)
Negative
c)
Zero Slope
d)
Undefined
56.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
57.
Write in slope intercept form
5x - 3y = -9
a)
y = (5/3)x - 3
b)
y = (5/3)x + 9
c)
y = (5/3)x + 3
d)
y = (3/5)x + 3
58.
Write in slope-intercept form:
-3x + 4y = 12
a)
y = 3/4x + 3
b)
y = -3/4 x + 3
c)
y = -4x + 3
d)
y = 4x + 3
59.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
60.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
61.
Find the slope of the line.
a)
3/2
b)
2/3
c)
-3/2
d)
-2/3
62.
The point where the line crosses the y-axis is called the:
a)
origin
b)
x-intercept
c)
y-intercept
d)
slope
63.
What is the y-intercept of the line?
a)
y = 1/2
b)
y = 1
c)
y = -1/2
d)
y = -1
64.
What is the y intercept?
y = 2x - 3
a)
3
b)
-3
c)
1
d)
2
65.
Determine the y-intercept for the following equation
4x + 2y = -12
a)
4
b)
-6
c)
-12
d)
2
66.
Identify the slope and y-intercept of:
y = 1/5x + 5
a)
slope: 1/6   y-intercept:  4 
b)
slope: 1/5   y-intercept:  5 
c)
slope: 5/1   y-intercept:  5 
d)
slope: 1   y-intercept:  5 
67.
Which of the following has a y-intercept of 3?
a)
y = 3x +2
b)
x=3
c)
y=2x+3
d)
y=x
68.
What is the formula for standard form?
a)
y=mx+b
b)
y-y1=m(x-x1)
c)
Ax+By=C
d)
rise÷run
69.
Write in standard form.
2x - 2 = 6y
a)
2x - 6y = 2
b)
2x + 6y = 2
c)
2x + 6y = -2
d)
2x - 6y = -2
70.
Write in standard form.
y = -3x + 5
a)
y = -3x + 5
b)
3x + y = 5
c)
3x - y = 5
d)
-3x + y = -5
71.
Write in standard form.
3x - 6 = -2y
a)
3x + 2y = 6
b)
3x - 2y = 6
c)
3x + 2y = -6
d)
3x - 2y = -6
72.
For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
73.
For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?
a)
-1
b)
1
c)
-3
d)
5
74.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
a)
y + 7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y + 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)
75.
Write the equation in point-slope form of the line that passes through the given point and has the given slope:
 (-2, -1); m= -3
a)
y + 1 = -3(x - 2)
b)
y + 1 = -3(x + 2)
c)
y - 1 = 3(x - 1)
d)
y + 2 = -3(x + 1)
76.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
77.
Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)
a)
y - 3 = 1(x - 2)
b)
y + 3 = 1(x + 2)
c)
y -3 = -1(x + 2)
d)
y + 3 = -1(x - 2)
78.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
79.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
80.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
81.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
82.
How do you solve:
(2x5)(6x4)
a)
MULTIPLY coefficients
MULTIPLY exponents
b)
DIVIDE coefficients
SUBTRACT exponents
c)
Combine like terms
d)
MULTIPLY coefficients
ADD exponents
83.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
84.
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
85.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
86.
x⁵⁄x³
a)
b)
x
c)
1
d)
x⁸
87.
3⁻⁴
a)
1 ⁄ 34
b)
-34
c)
34
d)
1 ⁄ 12
88.
Simplify the following expression: 
xy-7
a)
xy7
b)
x/y7
c)
x7/y
d)
x7y
89.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
90.
9n4 . 6n7
a)
15n11
b)
54n28
c)
3n3
d)
54n11
91.
How would you write 4.3756 x 10in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
92.
How do you write
1001
in scientific notation?
a)
1.0001 x 104
b)
1.01 x 105
c)
1.001 x 103
d)
10.1 x 103
93.
How do you write
8.317 x 106
in standard form?
a)
8, 371, 000
b)
83, 170, 000
c)
837, 100
d)
8, 317, 000
94.
Express the following in scientific notation:
.000457
a)
457 x 106
b)
457 x 10-6
c)
4.57 x104
d)
4.57 x 10-4
95.
Express the following in standard notation:
8.025 x 10-8
a)
.00000008025
b)
.000000008025
c)
802,500,000,000
d)
80,250,000,000
96.
Express the following in scientific notation:
10,030,400,000
a)
1.00304 x 109
b)
1.00304 x 1010
c)
1.00403 x 1010
d)
1.00304 x10-10
97.
Express the following in scientific notation:
0.0000002203
a)
.02203 x 107
b)
22.03 x 10-6
c)
2.203 x 10-7
d)
22.03 x 106
98.
Convert to scientific notation:
520,000,000  
a)
52 x 107
b)
5.2 x 107
c)
5.2 x 108
d)
0.52 x 109
99.
Find the volume to the nearest tenth using 3.14 instead of Pi.
a)
282.6 in3
b)
94.2 in3
c)
235.5 in3
d)
78.5 in3
100.

Find the volume to the nearest hundredth using 3.14 instead of Pi.

a)

12.56 ft3

b)

37.68 ft3

c)

18.84 ft3

d)

6.28 ft3