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2024-25 7th AP Term 2 Final Exam

Total questions: 75

Worksheet time: 4hrs 2mins

Name
Class
Date
1.

3(−2x+3)−4(−3x−9)3\left(-2x+3\right)-4\left(-3x-9\right)

4 lines
2.
3x + 10(1 – 7x)
4 lines
3.
–2n + 5(–3 + 3n)
a)
–15 + n
b)
17n – 15
c)
13n – 15
d)
–17n + 3
4.
Which expression represents the area of the rectangle?
4 lines
5.

What is the solution of r - 11 = 5

a)

11

b)

14

c)

15

d)

16

6.
Solve  12 - 6y = 24
a)
-1
b)
-2
c)
-3
d)
-4
7.
Solve      7y - 4 = -11
a)
1
b)
2
c)
-1
d)
-2
8.
Solve    8 - 2x = 30
a)
-11
b)
11
c)
-12
d)
12
9.
Simplify:  77x + 67y - 15x - 30y
4 lines
10.
Distribute:  0.4(3x - 7)
a)
6x - 2.8
b)
1.2x - 2.8
c)
1.2x - 14
d)
2.8x - 1.2
11.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
12.
(3x + 5) + (2x + 1) 
4 lines
13.
Find the sum:  (3d - 5) + (d + 3)
a)
4d + 8
b)
2d + 8
c)
2d - 2
d)
4d - 2
14.
Find the difference:
(8 - u) - (5u + 1)
a)
6u + 7 
b)
-4u + 7
c)
-6u + 7
d)
4u - 7
15.
(7a + 4) - (9a + 2)
a)
-2a + 6
b)
2a + 6
c)
-2a + 2
d)
2a + 2
16.
(4y - 8) - (3y - 9)
a)
7y - 17
b)
y + 1
c)
y - 17
d)
7y + 17
17.

Solve the inequality for x:

−3x + 5 < 20-3x\ +\ 5\ <\ 20  

(a)  

18.
You and your friend are planning to walk across an old bridge. The bridge can hold at most 1000 pounds. The total weight of the people currently on the bridge is 675 pounds. You weigh 156 pounds.Write and solve an inequality that represents how much your friend can weigh within the limits of the bridge.
a)
X ≤ 169 
b)
X < 169
c)
X < 156
d)
X > 156 
19.
You order a new pair of running shoes from a website that offers free shipping on orders of $75 or more. Your shoes cost $69.95. Write and solve an inequality that represents how much more you must spend to get free shipping. 
a)
X > 5.05
b)
X ≥ 5. 05
c)
X > 69.95
d)
X ≥ 69.95
20.
Solve:
-4(-7-5x) > 188
4 lines
21.
You buy a gym membership for $60 and then pay $40 each month. If you have at most $210 to spend on the membership, how many months can you use the gym? 
4 lines
22.

In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?

23.

In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs.  Write and solve a proportion to find the number of cats.

24.
There were 5 ice cream cones for every 3 brownies sold at the ice cream shop. If there were 24 brownies sold, how many ice cream cones were sold?
25.
Mr. Dulin runs 5 miles in 42 minutes.  He plans to run in a 25 mile race.  Based on his current speed, about how long will it take him to complete the race?
26.

The ratio of boys to girls in the 6th grade is 5 to 8. If there are if there are 24 more girls, how many boys will there be?

27.

The ratio of 6th graders to 7th graders at a basketball game is 7:2.  If there are 15 fewer 7th graders at the game, how many 6th graders are there?

28.

At a local daycare, there is a ratio of 2 caretakers for every 7 children. If there are 189 total children, then how many people are at the daycare facility?

29.

A donut shop serves plain and chocolate donuts at a ratio of 5 to 3. Based on this ratio, how many chocolate donuts will be served if there are a total of 120 donuts served?

30.

A unit rate is a ratio where the second part of the ratio is 1. Which of the following are examples of unit rates? Select ALL that apply.

a)

Zoe runs 6 miles per hour.

b)

Alex types 40 words per minute.

c)

The speed limit is 25 miles per hour.

d)

Candy is on sale 30 worms for $3.

31.

You're throwing a party, and you ordered 15 pizzas for your guests. Your total came to $97.50. What was your unit cost per pizza?

4 lines
32.

A car is going 50 miles per hour. A rate that describes this would have units of

a)

Miles and cars

b)

Miles and hours

c)

Miles only

d)

Hours only

33.

If your heart beats 20 times in 15 seconds, how many times does it beat in one minute?

a)

35 beats per minute

b)

80 beats per minute

c)

1.3 beats per minute

d)

0.75 bets per minute

34.

21.5% is what decimal?

a)

21.5

b)

0.00215

c)

2.15

d)

0.215

35.

12 is 48% of what number?

4 lines
36.
Write 5% as a decimal.
a)
5
b)
0.5
c)
0.05
d)
0.005
37.
Convert to a decimal
           3/4
a)
.25
b)
.34
c)
.75
d)
3.4
38.
Convert 1/3 to a percent.
a)
3.33...%
b)
0.333...%
c)
33.33...%
d)
1.33...%
39.
What percent is shaded?
a)
3%
b)
37.5%
c)
30%
d)
62.5%
40.

If an event can occur with a probability of 3/8, we can say that it...

a)

will always occur

b)

cannot occur

c)

is less likely to occur

d)

is likely to occur

41.

If an event can occur with a probability of 21/23, then we can say that it ...

a)

will always occurr

b)

cannot occur

c)

is less likely to occur

d)

is likely to occur

42.

What is the likelihood of flipping heads on a coin?

a)

impossible

b)

unlikely

c)

as likely as unlikely

d)

likely

43.

What is the likelihood of rolling an even number on a die?

a)

impossible

b)

unlikely

c)

equally likely

d)

likely

44.

What is the likelihood of rolling a sum of one with a pair of dice?

a)

impossible

b)

unlikely

c)

equally likely

d)

likely

45.

What is the likelihood of spinning a blue or red?

a)

unlikely

b)

equally likely

c)

likely

d)

certain

46.
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
47.

If you choose from the following M & M colors, what is the probability that you choose blue?

5 green

6 yellow

8 blue

7 brown

a)

1/4

b)

4/13

c)

8/25

d)

1/3

48.
Find the perimeter of the figure.  Use 3.14 for pi.
4 lines
49.

Find the perimeter in inches using 3.14 for π\pi

4 lines
50.

4) A model of a rectangular stove top with four circular burners is shown. The side lengths of the stove top and the diameters of the burners are labeled. Which measurement is the best estimate of the area in square inches of the stove top that does not include the area of the burners?

a)

108 in²

b)

492 in²

c)

420 in²

d)

528 in²

51.

What is the area of this circle in square cm? Use 3.14 for π\pi

4 lines
52.
What is the perimeter of the semi-circle?
a)
11 yd
b)
17.27 yd
c)
34.54 yd
d)
28.27 yd
53.
Steven purchases a bowl. The diameter of the bowl is 14 cm. What is the circumference of the bowl?
a)

28 cm

b)

44 cm

c)

88 cm

d)

7 cm

54.
What is the area of this semi circle? 
a)
100.5 square cm
b)
25.1  square cm
c)
50.3 square cm
d)
12.6 square cm
55.

A candy bar is shown below.  How much paper is needed to wrap the candy bar in square inches? (number only no units)

4 lines
56.

A water cooler shaped like a triangular prism has a base of 80 cm., height of 40 cm., and a prism height of 100 cm. What volume of water is needed to fill the water cooler?

a)

120 cm3

b)

160,000 cm3

c)

20 cm

d)

320,000 cm3

57.
Find the total surface area of the prism.
a)
48 square inches
b)
64 square inches
c)
88 square inches
d)
76 square inches
58.

A pencil holder shaped like a triangular prism is shown. The height of the pencil holder is 12 cm, and the volume of the pencil holder is 216 cm3. What is the area of the base of the pencil holder in square centimeters?

4 lines
59.

Solve for the volume in cubic cm

4 lines
60.

What is the total surface area?

a)

384 cm2

b)

2000 cm2

c)

2384 cm2

d)

2168 cm2

61.

The prism is made of two cubes. What is its total surface area in square inches? (Number only)

4 lines
62.

The three-dimensional figure shown is composed of right prisms. What is the total surface area of the figure in square inches?

4 lines
63.

A store pays $1.50 for a bag of candy. If the store wants to mark-up the price 60%, for how much will the store sell the bag of candy?

a)

$0.60

b)

$2.40

c)

$0.90

d)

$6.00

64.

A store pays $32.00 for each video game. The store’s percent of mark up is 75%. Which shows the retail price of the video game?

a)

$60.00

b)

$56.00

c)

$24.00

d)

$8.00

65.
A pair of boots are $94.99.  They are 25% off. With this discount, what is the sale price? Round to nearest cent if necessary.
a)
$71.24
b)
$118.74
c)
23.7475
d)
$23.75
66.

Jake owns a jewelry store. He sells bracelets for $72.60 each after a mark-up of 65%. Find the original price of one bracelet.

a)

$119.79

b)

$47.19

c)

$44.00

d)

$43.64

67.

When a price gets lowered, this is known as:

a)

markdown

b)

profit

c)

markup

d)

percent

68.

A television that costs $360.99 is on sale for 75% off. Find the sale price of the television.

a)

$270.74

b)

$631.73

c)

$27,074.25

d)

$90.25

69.

Emilio borrows $1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?

a)

$150

b)

$192

c)

$1350

d)

$1392

70.
If you are calculating the simple interest and you are given the time in months.  How can you find the time in years?
a)
divide 12 by the months
b)
divide the months by 12
c)
multiply 12 times the months
d)
change the months to a decimal
71.

Calculate the interest. I = PRT,

Principal = $1000,

Rate = 6%,

Time = 2 years

a)

$100

b)

$120

c)

$180

d)

1200

72.
Ann puts $300 in a bank account earning 4% interest.  How much will she earn in interest in 1 year?
a)
4
b)
8
c)
12
d)
16
73.
Anna invested $2,500 at an annual rate of 5%.  How long will it take until Anna earns $1,125 in interest?
4 lines
74.
Javon has a credit card with a $1,583 balance. His interest rate is 8.8%. If he does not pay for 3 years, how much interest does he owe?
4 lines
75.

Emilio borrows $1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?

a)

$150

b)

$192

c)

$1350

d)

$1392

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