This document contains a review sheet for a math final exam. It includes multiple choice and short answer questions covering topics like geometry, algebra, ratios, and word problems. It also provides the answers to the multiple choice section. The short answer questions require showing work and include problems finding areas, writing equations, comparing ratios, and solving word problems involving money.

1. 1
Name: ________________________________ Date: ________
MATH Period ______
Final Exam Review Sheet #1- PART 1
Part 1 (Multiple Choice)- Write the letter before each number for each question below.
1. Three points of a triangle are A (–2,5), B (–2,10), C (3,10). Find the distance
from B to C.
A) 10 units B) 5 units C) 1 unit D) –5 units
2. Box A contains 200 grams of cereal. Box B contains an unknown amount of
cereal. If the ratio of Box A to Box B is 1:5, how many grams of cereal is in
Box B?
A) 200 g B) 40 g C) 1000 g D) 5 g
3. The net on the right represents what geometric solid?
A) triangular prism B) rectangular prism
C) triangular pyramid D) regular polygon
4. The following shape is plotted on the coordinate plane below. What is the
total perimeter of the figure? (1 box = 1 cm)
A) 17 cm
B) 18 cm
C) 19 cm
D) 20 cm

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5. There are approximately 250 students at NMS. Based on that number and
the chart below, how many students like plain pizza? Complete the work to the right of
the chart.
Type of Pizza
Percent of Students That
Like That Pizza
Extra Cheese 8 %
Pepperoni 35 %
Plain 40 %
Meatball 13 %
Sausage 4 %
6. Rich began a new running routine in which he runs his 10 mile run once
every four days. Bill started a new running routine in which he does his long
10 mile run once every five days. If they both start their training on the
same day, on what day will they both train on the same day?
A) on the 4th
day B) on the 5th
day
C) on the 10th
day D) on the 20th
day
7. Convert 6% to a decimal
A) .06 B) 6 C) .006 D) 0.6
8. Which statement about the prism on the right is true?
A) The number of vertices and faces are equal.
B) The ratio of edges to faces is 2:1
C) There are exactly 6 vertices
D) All the faces are congruent
9. Angelo ran 55 minutes on Monday at a 5:1 ratio minutes to kilometers.
How many kilometers did he run?
A) 220 kilometers B) 11 kilometers
C) 5 kilometers D) 10 kilometers
10. Which solution would make this equation true?
5 =
A) 12 B) 22 C) 2 D) 85
A) 35 students B) 40 students C) 80 students D) 100 students

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11. Alexandra plotted the first three corners
of a rectangle on the grid. What are the
coordinates of the 4th
corner?
A) (2, –6)
B) (2, 6)
C) (–6, 2)
D) (–2, 6)
12. A rectangular prism has dimensions of 11 inches by 16 inches by 22 inches.
Which expressions could be used to find the volume?
A) 11 + 16 + 22
B) 11 x 16 x 22
C) (11 x 16) + (11x 22)
D) 22 – 16 – 11
13. Which fraction below is the greatest?
A) 8
B) 8
C) 8
D) 8
14. Which point is the reflection of the coordinate point (– 3,5) over the x axis?
A) (–3,–5) B) (3,–5) C) (3,5) D) (–5,3)
15. A shirt is on sale for $15. The sale price is $5 less than the regular price, p.
Which equation could be used to find the regular price of the shirt?
A) p + 5 = 15B) p – 5 = 15C)5p = 15 D) = 15
16. In order for airports to be shut down, wind gusts (w) have to be at least 40
MPH or greater. Which inequality shows this relationship?
A) w = 40 B) w > 40 C) w > 40 D) w < 40
17. In order to solve for n in the equation 5n = 60, which operation would have
to be done to both sides of the equation to
solve for n?
A) multiply by 5 B) subtract 5 C) divide by 5 D) add 5
18. Mrs. Lovecchio buys cold cut roast beef at a rate of $7.80 per pound. How
much will it cost her if she buys a 1.5 pounds?
A) $6.30 B) $11.70 C) $9.30 D) $5.20

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19. Which inequality expression is the number line modeling?
A) – 3 > x > 5 B) – 3 > x < 5 C)– 3 < x < 5 D)– 3 = x < 5
20. How many pounds of bird seed can be made from a 5 pound bag of bird
seed?
A) 8 lbs. B) 4 lbs. C) 4 lbs. D) 7 lbs.
21. The length of Mr. Henderson’s driveway is 5 feet longer than twice the
width. Let w represent the width of the driveway. Which expression shows
the length?
A) 2w + 5 B) 5w – 2 C) 2w – 5 D) 5 – 2w
22. Which property below shows an example of the distributive property?
A) 14 + 5 = 5 + 14
B) (22 + 8) + 15 = 22 + (8 + 15)
C) 8(7 + 5) = (8 • 7) + (8 • 5)
D) 16 • 1 = 16
23. Evaluate 55 – 2 • (12 – 5) + 23
A) 47 B) 33 C) 49 D) 379
24. Which of the following fractions will result in a repeating decimal?
A) B) C) D)
25. What would be the Greatest Common Factor of 12 and 48?
A) 4 B) 8 C) 12 D) 48
26. Which fraction is the reciprocal of 8?
A) B) C) D)
27. Evaluate the expression 6n – y for n = 7 and y = 5
A) 12 B) 37 C) 23 D) 47
28. Evaluate and simplify: 5 ÷ 2
A) 5 B) 2 C) 2 D) 2
0 1 2 3 4 5-1-2-3-4-5

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29. Which set of numbers is ordered from greatest to least?
A) – 8, - 1, 1, 5
B) – 6, - 10, 0, 20
C) 31, 17, - 4, - 5
D) -22, - 15, 6, 8
30. The length of each side of a square measures 4.02 cm long. What is the best
estimation of the area of the square in square centimeters?
A) 24 B) 16 C) 96 D) 64
31. What is as a decimal?
A) 0.08 B) 0.3 C) 0. 6 D) 0.125
32. Arrange the numbers from least to greatest: 35% 0.37
A) 0.37 35%
B) 0.37 35%
C) 35% 0.37
D) 35% 0.37
33. If a six pack of bottled water sells for $4.80 and six pack of bottled ice tea
sells for $7.20. Assuming that the packs can be broken up for individual sale, calculate
how much it will cost to buy 3 bottles of water and 5 bottles of ice tea
A) $8.40 B) $3.20 C) $7.60 D) $12.00
34. Which of these heights is closest to sea level?
A) an airplane flying at 10,00 feet
B) a shark swimming at 35 feet
C) a butterfly fluttering at 10 feet
D) a naval ship cruising at 6 knots on the ocean’s surface
35. Simplify the expression: |–7| + |–2| – |5|
A) 14 B) 4 C) 0 D) – 4
36. Which expression is equivalent to: 2(x – 1)
A) 2x –1 B) 2 – x C) 2x – 2 D) x – 2

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Part 2- Must show all work.
1. Evaluate the expression for y = 3.
( ) ( ) ( )
2. Windrider decided to leave the clan’s laundry business. He took a new job and
was making 6 dollars a day working as a general handy man, plus an additional 50 cents
for each mechanical device that he fixed.
a) Write an equation to describe the total amount (y) that Windrider earned a day
as a handy man and for fixing(x) mechanical devices.
b) If Windrider fixes 12 mechanical devices over the course of 1 day, how much
money will he earn?
3. The cafeteria is making two kinds of fruit punch, ORANGE and CHERRY. The ratios
for each are listed below in the table.
a) Complete both tables and find a ratio with a common DENOMINATOR.
b) Circle the two ratios you can use to compare.
ORANGE Recipe
ORANGE
FLAVORING (tbsp)
6
Water (cups) 3
CHERRY Recipe
CHERRY
FLAVORING (tbsp)
7
Water (cups) 4
c) Which flavor will taste stronger, ORANGE or CHERRY? ___________
d) Explain._______________________________________________________
___________________________________________________________________
________________________________________________________________________

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4. The points of a POLYGON are:
- Plot and connect the points A (-8, 8), B (9, 8), and C (5, -2), and D (-4, -2). Give the best
name for the shape and determine the area of the polygon.
Name of the Shape - ______________
Calculate the AREA
5. Find the SURFACE AREA of the Rectangular Prism below (not drawn to scale).
𝟗 𝐟𝐭.
𝟐 𝐟𝐭.
𝟑 𝐟𝐭.

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6. Billy & Ryan had a competition at the batting cage. Billy hit 7 balls for every 4 balls
Ryan hit. Billy and Ryan hit a TOTAL of 99 balls. How many balls did each boy hit?
- Use a tape diagram to solve.
- Remember to label each tape diagram carefully and place the constant inside
your tape diagrams.
-State your answer in a full complete sentence.
Number of balls that Billy hit -
Number of balls that Ryan hit -
7. Three friends went to a restaurant for dinner. The bill came to $60.00. They
decided to tip the server 20% of the bill.
A) What would the tip be?
B) What would the total bill be including the tip?
C) How much would each person have to contribute to share the
the cost of the bill and tip evenly?

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Final Exam Review #1Part 1
1. B
2. C
3. A
4. D
5. D
6. D
7. A
8. B
9. B
10. D
11. D
12. B
13. D
14. A
15. B
16. C
17. C
18. B
19. C
20. D
21. A
22. C
23. C
24. B
25. C
26. D
27. B
28. D
29. C
30. C
31. C
32. D
33. A
34. D
35. B
36. C

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Final Exam Review #1 Part 2
1. ( ) ( ) ( )
( ) ( ) ( )
( ) ( ) ( )
( ) ( ) ( )
( ) ( ) ( )
( ) ( ) ( )
( ) ( )
5
2a. 6 + .5x = y
2b. $12
3a. 3b.
ORANGE
FLAVORING (tbsp)
6 12 18 24
Water (cups) 3 6 9 12
CHERRY
FLAVORING (tbsp)
7 14 21 28
Water (cups) 4 8 12 16
3c.3d. The orange will taste stronger because there is more orange flavoring (24tsp)
for 12 cups of water than the cherry flavoring which only has 21 tbsp of flavoring
for the same amount of water.
4. Name: trapezoid
Area: 130un2

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5. 2(9x2) + 2(9x3)+2(2x3)
2(18) + 2(27) + 2(6)
36 + 54 + 12
102ft2
6. Billy
9 9 9 9 9 9 9
Ryan
9 9 9 9
Billy hit 63 balls. Ryan hit 36 balls.
7a. $12.00
7b. $72
7c. 24