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Worksheets

Semester Review

Total questions: 60

Worksheet time: 4hrs 40mins

Name
Class
Date
1.
A plumber is fitting a water pipe that is 3/4 foot long on to a water pipe that is 2/12 foot long. How long will the finished pipe be?
a)
11/12 foot
b)
8/16 foot
c)
2/12 foot
d)
1 foot
2.
Bobby has 3/4 of a cake. If he shares a 1/8 slice with Morgan, how much does he have left?
a)
4/8
b)
5/8
c)
3/4
d)
7/8
3.
What must you have to add and subtract fractions?
a)
Common numerators
b)
Different numerators
c)
Different denominators
d)
Common denominators
4.
a)
13 16/25
b)
13 1/4
c)
14 2/5
5.
5  1/4  -  3  3/4
a)
1  3/4
b)
1  2/3
c)
1/2
d)
1  1/2
6.
7   1/5  -  3  4/5
a)
3  1/5
b)
 3  4/5
c)
3  2/5
d)
3  3/5
7.
Solve: 7/10 x 5/14
a)
1/3
b)
1/5
c)
35/140
d)
1/4
8.
Solve: 1  4/5 x  3
a)
3  2/5
b)
5  2/5
c)
10  1/2
d)
5  1/5
9.
Solve:  12  1/2 x 1/5
a)
2  1/2
b)
3  1/4
c)
5/2
d)
3  3/5
10.
a)
12  1/2
b)
8  12/35
c)
8  4/15
d)
10
11.
a)
6
b)
4  4/7
c)
57/9
d)
5  1/2
12.
a)
6
b)
4  4/7
c)
57/9
d)
5  1/2
13.

Angelo has $5.50 for lunch. He guys a cookie for $1.05 and a drink for 1.45. How much money does Angelo have left?

a)

$2.50

b)

$3.00

c)

$1.25

d)

$4.00

14.

Devon had his two friends over for pizza. Devon ate 1/4 of the pizza. One of his friends ate 3/8 of the pizza and the other friend ate 1/8 of the pizza. How much of the pizza is left?

a)

1/4

b)

1/8

c)

1/3

d)

1/5

15.

Joe went scuba diving. He descended down to 5 feet below sea level, stopped, then went down another 20 feet. What is Joe's level?

a)

25 feet

b)

-15 feet

c)

15 feet

d)

-25 feet

16.

Nik brought a bag of candy to school. He started with 50 pieces, but gave out 15 pieces to EACH of his TWO friends. His nice math teacher gave Nik 3 pieces of candy. How much does he have now?

a)

37 pieces

b)

10 pieces

c)

0 pieces

d)

23 pieces

17.

Chris decided to do his history homework a little bit each night. On the first night he did 1/5 of the homework, the second night he completed 1/4 of the homework, and the third night he worked 1/2 of the homework. How much of the homework has Chris completed?

a)

19/20 or .95

b)

1/2 or .5

c)

1/3 or .33

d)

1/10 or .1

18.

Aryon has $20. He buys 2 Cokes that each cost $1.50. He also buys a sandwich for $5.50 and a bag of chips that costs $2.25. After Aryon pays for his lunch, how much money does he have left?

a)

$10

b)

$10.75

c)

$9.25

d)

$0

19.

Ms. Sublett learns how to fly a plane. She starts on the ground and ascends (goes UP) 500 feet, then descends (goes DOWN) 150 feet, then ascends 50 feet. How high up is Ms. Sublett's plane now?

a)

700 feet

b)

500 feet

c)

back on the ground

d)

400 feet

20.

Ms. Hockless is trying to do a math problem that involves fractions but needs help. What would be a good way to show her?

a)

Convert the fractions to decimals by dividing numerator by the denominator and then solve

b)

Just add all the numbers on the fractions together

c)

Convert all of the fractions to percents and then solve

d)

Draw pictures of the fractions and just make a good guess at the answer

21.

Ms. Sublett's math class is putting three numbers (0.3, 1/4, and 20%) in order from least to greatest. Which answer is correct?

a)

1/4, 20%, 0.3

b)

0.3, 20%, 1/4

c)

20%, 1/4, 0.3

d)

0.3, 1/4, 20%

22.

-4.5 is an example of what kind of number?

a)

whole number

b)

integer

c)

rational number

d)

irrational number

23.
The temperature on a cold winter day starts out at 10 degrees, but it drops rapidly 24 degrees due to a strong cold front moving in.  What is the current temperature?
a)
14
b)
34
c)
-14
d)
-34
24.
A sprinkler was -8 feet below ground level. Mr. S has a machine that digs - 2 feet at a time. How many digs does he need to make in order to reach the sprinkler?
a)
4
b)
-4
c)
16
d)
-16
25.
Suppose $700 is being deducted each month to pay the mortgage. After six months, how much money has been taken out of the pay for the mortgage?
a)
$4200
b)
$-4,200
c)
$116.66
d)
$-166.66
26.
Your bank account balance is -$31.00. You then get paid $195 for work this week before paying your cellphone bill of $75.  How much money remains in your account?
a)
$-89.00
b)
$51.00
c)
$301.00
d)
$89.00
27.
Jonah had $340.87 in his checking account. He withdrew $52 and wrote a check for $18.72. Find the new balance.
a)
$270.15
b)
$411.59
c)
$374.15
d)
$307.59
28.
A submarine is 150 below sea level while an airplane is 375 above sea level.  What is the difference between the height of the submarine and the airplane?
a)
-525
b)
525
c)
325
d)
-325
29.
The temperature drops 2 degrees per hour for 3 hours.  Which of the following expressions does NOT describe the change in temperature?
a)
-2(3)
b)
(-2) + (-2) + (-2)
c)
(2)(3)
d)
-2-2-2
30.
 A girl's hair is 12 3/8 inches long. If she has 2 1/2 inches cut off, how long will her hair be?
a)
10 1/4 inches
b)
10 3/16 inches
c)
9 7/8 inches
d)
10 7/8 inches
31.
A room is 3.4 m wide and 2.6 m long. What is the perimeter of the room?
a)
6 m
b)
6 m2
c)
12 m
d)
12 m2
32.
A hamburger from McDonald's costs $1.79 and a drink costs $1.19.  What is the total cost for a drink and a hamburger from McDonald's?
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
33.

A grocery store clerk can scan 1 product every 1/2 of a second. At what rate can she scan products?


_____ products per second

a)

1/2 products per second

b)

2 products per second

c)

1/2 seconds per product

d)

2 seconds per product

34.

A top swimmer would be able to swim across a 25-meter pool in about 1/5 of a minute. How fast can a top swimmer go?


______ meters per minute

a)

125 meters per minute

b)

5 meters per minute

c)

125 minutes per meter

d)

5 minutes per meter

35.

With some species of bamboo, you can actually see them grow. You could observe 30 centimeters of growth in just 1/3 of a day. At what rate does this bamboo grow?


____centimeters per day

a)

90 day per cm

b)

10 cm per day

c)

90 cm per day

d)

10 day per cm

36.

A seed sprouted and grew 2/3 of a foot in 3 months. What was its rate of growth?


____ feet per month

a)

3 months per ft

b)

2/9 months per ft

c)

2/9 ft per month

d)

3 ft per month

37.

An airplane cruises 1 kilometer in 1/12 of a minute. What is its cruising speed?


_____kilometers per minute

a)

12 minutes per kilometer

b)

1 minute per kilometer

c)

1 kilometer per minute

d)

12 kilometer per minute

38.

Sparkle Cleaners uses 2/3 of a jug of window cleaner in 4 weeks. How much window cleaner do they use in 1 week?


_____ jugs per week

a)

1/6 of a jug

b)

6 jugs

c)

1/3 of a jug

d)

3 jugs

39.

A motorcycle zoomed along the freeway, traveling 10 meters in 1/3 of a second. How fast was it going?


_____ meters per second

a)

3 seconds per meter

b)

30 seconds per meter

c)

30 meters per second

d)

3 meters per second

40.

Mrs. Jefferson's famous peanut butter cookies call for 1 cup of peanut butter for every 1/2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?


____ cups of peanut butter

a)

2 cups

b)

1/2 cup

41.

A school janitor has mopped 1/3 of a classroom in 5 minutes. At what rate is he mopping?


____classrooms per minute

____ minutes per classroom


Choose both options

a)

1/15 minutes per classroom

b)

1/15 of a classroom per minute

c)

15 classrooms per minute

d)

15 minutes per classroom

42.

The Cooper family uses up a 1/2-gallon jug of milk every 3 days. At what rate do they drink milk?


gallons per day

a)

1/6 gallons per day

b)

1/6 days per gallon

c)

1 and 1/2 days per gallon

d)

6 gallons per day

43.
The first step you should do with a word problem (after reading it) is...
a)
identify the variable
b)
write the equation
c)
solve
d)
show your work
44.
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Which equation that matches this situation?
a)
331=7x+6
b)
331=13x
c)
331=6x+7
d)
331-7=6x
45.
Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.  Which equation matches this situation? (Write down the correct answer for the next question!)
a)
50 + 20m = 290
b)
20 + 50m = 290
c)
50 + 20 = m
d)
50m - 20 = 290
46.
Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym. How many months has he been a member at the gym? (Solve the last equation)
a)
12
b)
17
c)
64.5
d)
15
47.
Scott works on cars. He charges $35 for each car plus $7 per hour.  Kylie's car bill was $63. Which equation matches this situation? (Write down the correct answer for the next question!)
a)
7x + 35 = 63
b)
7x = 63
c)
7x - 35 = 63
d)
35x + 7 = 63
48.
Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63. (Solve the last equation)
a)
4 hours
b)
5 hours
c)
6 hours
d)
7 hours
49.
A bag of candy was shared equally among 4 friends.  Each friend gave away 7 pieces of candy.  They each ended up with 8 pieces of candy.  Which equation matches this situation? (Write down the correct answer for the next question!)
a)
c/7 - 4 = 8
b)
c/4 + 7 = 8
c)
4/c - 7 = 8
d)
c/4 - 7 = 8
50.
A bag of candy was shared equally among 4 friends.  Each friend gave away 7 pieces of candy.  They each ended up with 8 pieces of candy. How many pieces of candy were in the bag to start? (Solve the last equation)
a)
60
b)
39
c)
45
d)
75
51.

Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes.

Which of the following inequalities can be used to determine the least number of cars she can wash to buy the headphones?

a)

30x+14 ≤ 240

b)

14x+30 ≤ 240

c)

30x+14 ≥ 240

d)

14x+30 ≥ 240

52.

Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes.

What is the least number of cars she can wash to buy the

headphones?

a)

x ≥ 15

b)

x ≤ 15

c)

x > 15

d)

x < 15

53.

Sylvia set a goal of saving at least $200 in a savings account.

She currently has $60 in the account. If she invests $5 of her weekly allowance per week, which of the following inequalities can be used to determine the amount of weeks it will take her to reach her goal?

a)

5x+60 ≥ 200

b)

5x+60 ≤ 200

c)

60x+5 ≥ 200

d)

60x+5 ≤ 200

54.

Sylvia set a goal of saving at least $200 in a savings account.

She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?

a)

x ≥ 28

b)

x ≤ 28

c)

x > 28

d)

x < 28

55.

Dylan decides to takes his friends to a movie with $50 of his birthday money. He must take one adult with him. An adult ticket costs $9.75. Each child ticket cost $6.25. Which of the following inequalities can be used to determine the maximum number of friends Dylan could take with him to the movies?

a)

6.25x+9.75 ≥ 50

b)

6.25x+9.75 ≤ 50

c)

9.75x+6.25 ≥ 50

d)

9.75x+6.25 ≤ 50

56.

Dylan decides to takes his friends to a movie with his $50 of birthday money. He must take one adult with him. An adult ticket costs $9.75. Each child ticket cost $6.25. What is the maximum number of friends Dylan could take with him to the movies?

a)

x ≥ 6

b)

x ≤ 6

c)

x ≥ 7

d)

x ≤ 7

57.
Which situation can be represented by the inequality
15 + 6x ≤ 100?
a)
Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
b)
Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
c)
Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
d)
Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
58.

Solve for t.


6t + 4 ≤ -2

a)

t ≤ 1

b)

t ≤ -1

c)

t=1

d)

1=t

59.

-3y + 2 > 11

a)

y > 3

b)

y > -3

c)

y < 3

d)

y < -3

60.
You flip an inequality symbol when you...
a)
subtract
b)
multiply and divide only
c)
multiple by a negative number
d)
multiple or divide by a negative number

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