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WorksheetsAcc Math 7 - Final Exam Review
Total questions: 81
Worksheet time: 4hrs 56mins
Name
Class
Date
1.
Simplify the expression: 2(x + 4) + 3(2x - 5)
a)
8x - 7
b)
8x + 4
c)
5x + 23
d)
-5x + 20
2.
Simplify the expression:
-2x2 - x + 1 - x2 + 3x - 5
-2x2 - x + 1 - x2 + 3x - 5
a)
-2x2 + 2x - 6
b)
-3x2 + 2x - 4
c)
2x2 + 2x + 4
d)
-3x2 + 4x - 4
3.
Simplify the following expression:
x + 4 - 7(x - 5)
x + 4 - 7(x - 5)
a)
-33x + 19
b)
-47x2 + 21
c)
33x - 19
d)
-6x + 39
4.
(-11a + 7) – (11a – 7)
a)
-22a - 14
b)
0
c)
-22a + 14
d)
-22a
5.
Factor the Expression
50x - 60
50x - 60
a)
10(5x - 6)
b)
6(10x - 5)
c)
5(6x - 10)
d)
10x - 11
6.
Factor 4x + 30y.
a)
2(x + 15y)
b)
4(x + 15y)
c)
2(2x + 15y)
d)
cannot be factored
7.
Simplify:
(x - 7)(x + 7)
(x - 7)(x + 7)
a)
x2 + 7x - 49
b)
x2 - 7x + 49
c)
x2 - 49
d)
x2 + 49
8.
Simplify
(p − 8)2
Hint: (p − 8)2 = (p − 8)(p − 8)
(p − 8)2
Hint: (p − 8)2 = (p − 8)(p − 8)
a)
p 2 − 16p − 64
b)
p 2 + 16p + 64
c)
p 2 − 16p − 8
d)
p 2 − 16p + 64
9.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
10.
1 + 7x + 6x = 53
a)
3
b)
4
c)
5
d)
6
11.
45 = 4x + x + 10
a)
4
b)
5
c)
6
d)
7
12.
x + 6 + 2x = 3x + 1
a)
No Solution
b)
Infinitely Many Solutions
c)
x = 2
d)
x = 5
13.
-2(4x - 6) = 12 - 8 x
a)
Infinitely Many Solutions
b)
No Solutions
c)
x = 1
d)
x = - 2
14.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
15.
Solve and graph:
a)
A
b)
B
c)
C
d)
D
16.
Write an inequality for Graph 3.
a)
x ≤ -2 AND x > 5
b)
x ≤ -2 OR x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x < 5
17.
0 < x + 7 < 9
a)
-7<x and x<2
b)
-7<x or x<2
c)
-7>x and x>2
d)
-7>x or x>2
18.
Solve the inequality.
4(2x - 1) > 2(3x + 1) + 2x
4(2x - 1) > 2(3x + 1) + 2x
a)
x > 6
b)
All Real Numbers (Infinite Solutions)
c)
x > 3
d)
No Solution
19.
Write an equation for this relationship.
a)
y=1/5x
b)
y=1/2x
c)
y=2x
d)
y=5x
20.
Which line shows a proportional relationship between x and y?
a)
Line L
b)
Line M
21.
Which graph is non-proportional?
a)
A
b)
B
c)
C
d)
D
22.
5. Are 9/12 and 21/14 proportional?
a)
yes
b)
no
23.
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?
a)
2.5 cups milk
b)
1.75 cups milk
c)
2 cups flour
d)
2.25 cups milk
24.
If you have 3 pennies, 4 nickels, and 5 dimes which represents the following ratio: nickels to total number of coins?
a)
4:5
b)
3:12
c)
4:12
d)
5:12
25.
Divide $120 between David and Jack in the ratio 3 : 5.
a)
David gets $55 and Jack gets $65
b)
David gets $35 and Jack gets $85
c)
David gets $50 and Jack gets $75
d)
David gets $45 and Jack gets $75
26.
Find y.
a)
144
b)
18
c)
72
d)
12
27.
Using a proportion, find the height of the tree.
a)
x = 0.0625 ft.
b)
x = 6 ft
c)
x = 16 ft.
d)
x = 12ft
28.
Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
29.
How can you tell which Angles are congruent from ∆DEF ≅ ∆ZXY?
a)
I can not tell without a diagram.
b)
I can not tell without measurements given.
c)
I looked at the letters in corresponding positions.
d)
The letters closer to the beginning of the alphabet match and the letters closer to the end of the alphabet match.
30.
The distance between two cities on a map is 4.125 inches. Find the actual distance if the scale on the map is 2 inches = 40 miles.
a)
165 miles
b)
50 miles
c)
82.5 miles
d)
41.25 miles
31.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
32.
If the scale factor is greater than one, the new figure will be
a)
a reduction
b)
an enlargement
c)
a scale
d)
not proportional
33.
What is the scale factor from ABCD to MNOP?
a)
2/3
b)
3/2
c)
2
d)
3
34.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
35.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
36.
What is the slope of all horizontal lines?
a)
0
b)
undefined
c)
1
d)
-1
37.
What is 12% of 40?
a)
5
b)
4.8
c)
4
d)
12
38.
120% of what number is 72?
a)
120
b)
60
c)
75
d)
100
39.
How much tax would you pay on a new TV that is $899 at Best Buy, if the tax rate is 6.5%?
a)
$957.44
b)
$840.00
c)
$58.44
d)
$840.57
40.
Sally went to the clearance rack at a department store and found a shirt she wanted to buy. The shirt was $36.00 and is on sale for $24.00. What is the percent of the decrease?
a)
33%
b)
67%
c)
50%
d)
34%
41.
You want to buy a television that is originally
$1,450 on sale for 15% off.
The store is going out of business and
will be marking down the T.V another
30% off of the sales price.
How much will the television cost?
$1,450 on sale for 15% off.
The store is going out of business and
will be marking down the T.V another
30% off of the sales price.
How much will the television cost?
a)
1232.50
b)
$862.75
c)
$1015
d)
$916.79
42.
Calculate the interest. I = PRT,
Principal = $1000,
Rate = 6%,
Time = 2 years
a)
$100
b)
$120
c)
$180
d)
1200
43.
Beyonce went to the mall and saw a massage chair that she would have to take a loan out for $6500 to purchase. The bank said that she could get a simple interest rate of 8% for 5 years. What is the total amount that Beyonce will pay for the chair?
a)
$2600
b)
$910
c)
$9100
d)
$260
44.
Helen paid $8.63 for a pair of earrings, which includes 8% sales tax. How much were the earrings before tax?
a)
$7.99
b)
$9.32
c)
$.69
d)
$107.88
45.
The attendance for the basketball game was estimated to be 15,000 people but 12,500 people attended. What was the percent error?
a)
16.67%
b)
20%
c)
2500%
d)
80%
46.
Find the value of x.
a)
14
b)
60
c)
35
d)
180
47.
Find the value of x.
a)
16
b)
19
c)
20
d)
18
48.
Does a triangle with these side lengths exist?
4, 6, 7
4, 6, 7
a)
Yes, only one
b)
No
c)
Yes, many triangles
49.
Does a triangle with these side lengths exist?
20, 10, 9
20, 10, 9
a)
Yes, only one
b)
No
c)
Yes, many
50.
What line type is highlighted in red?
a)
Parallel Lines
b)
A Line Segment
c)
A Transversal
d)
A Wibbly Wobbly Line
51.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
52.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
53.
∠3 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
54.
Q6) Solve for x.
a)
180
b)
18
c)
56
d)
8
55.
Q7) Solve for x.
a)
60
b)
7.75
c)
4
d)
180
56.
How many triangles exist with the following angle measures?
80°, 50°, 50°
a)
No triangle exists with the given angle measures.
b)
An infinite number of different triangles exists with the given angle measures.
c)
Exactly one unique triangle exists with the given angle measures.
d)
An infinite number of similar triangles exists with the given angle measures.
57.
What is the diameter?
a)
6.5
b)
15.2
c)
24.8
d)
32.1
58.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
59.
Find the area of the shape. Round your answer to the nearest tenth if necessary.
a)
49 square units
b)
98 square units
c)
616 square units
d)
38.5 square units
60.
Find the area of the shape. Round your answer to the nearest tenth if necessary.
a)
67.3 square inches
b)
28.3 square inches
c)
37.7 square inches
d)
56.5 square inches
61.
Find the area of the shape. Round your answer to the nearest tenth if necessary.
a)
3.3 square meters
b)
2.7 square meters
c)
4.5 square meters
d)
5.1 square meters
62.
Find the Surface Area.
a)
556 cm2
b)
278 cm2
c)
680 cm2
d)
340 cm2
63.
Find the volume of the solid shown in the figure? (round to the nearest tenth)
a)
376.8m3
b)
1440 m3
c)
1130.4m3
d)
2119.5 m3
64.
Find the volume.
a)
90 cu. cm
b)
180 cu. cm
c)
45 cu. cm
d)
90 sq. cm
65.
Find the volume of the following cone.
a)
156 ∏ m3
b)
702∏ m3
c)
2,106∏ m3
d)
78∏ m3
66.
Describe the cross section.
a)
circle
b)
oval
c)
semi-circle
d)
trapezoid
67.
Describe the cross section.
a)
triangle
b)
rectangle
c)
oval
d)
trapezoid
68.
Describe the cross section.
a)
rectangle
b)
square
c)
parallelogram
d)
circle
69.
A jar contains 2 green marbles, 4 blue marbles, 3 yellow marbles, and 2 black marbles. A marble is chosen at random from the jar and replaced. Then a second marble is chosen at random. Find the probability of the first marble being green and the second marble being yellow.
a)
4/121
b)
8/121
c)
3/121
d)
6/121
70.
A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?
a)
1/12
b)
1/4
c)
1/8
d)
1/2
71.
Two cards are drawn from a standard deck of cards and no cards are returned to the deck. Identify whether the events are independent or dependent.
a)
Independent
b)
Dependent
72.
How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
a)
15
b)
40
c)
80
d)
10
73.
What is the mean of test scores?
{70, 70, 80, 85, 85, 90, 95, 95, 100, 100}
{70, 70, 80, 85, 85, 90, 95, 95, 100, 100}
a)
87
b)
85, 95, and 100
c)
30
d)
85 and 90
74.
What is the median?
a)
62
b)
58
c)
66
d)
60
75.
What is the interquartile range (IQR)?
a)
4
b)
64
c)
60
d)
8
76.
Which city has a higher median?
a)
Millersburg
b)
Arcadia
77.
A way to describe the shape of a data display that indicates most of the data is on one side of the display.
a)
symmetric
b)
unimodal
c)
skewed
d)
uniform
78.
a)
symmetric, with outliers
b)
symmetric, with no outliers
c)
skewed to the left
d)
skewed to the right
79.
Describe the shape of the graph.
a)
Skewed right
b)
Skewed left
c)
Uniform
d)
Symmetrical
80.
Find the missing side
a)
9
b)
41
c)
6.4
d)
6.2
81.
Do the segment lengths 15, 12, and 9 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
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