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Name: ________________________________________________ Teacher: ______________ Per: ________
7th Grade Fall Semester Exam Review
Directions: SHOW ALL WORK and circle your answers for me to check.
1.
The table below shows a portion of the planned budget for the Jones family. Their monthly income is
$6,500.
What is the percentage of income used for housing expenses?
2.
Write a situation that can be represented by the equation 4d + 5 = 29.
3.
A 60-gallon tank is half-full of water when it begins to leak at a rate of 2 gallons per minute. Which
equation provides t, the number of minutes it takes the tank to become empty?
4.
Figure IJK ~ Figure TUV.
Which line segment completes this proportion?
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5.
Miguel is conducting a probability experiment using a coin and a spinner shown below.
If Miguel flips the coin and spins the spinner at the same time, which of these lists the possible results of
his experiment?
6.
Olivia is borrowing $60 from her brother at 10% monthly interest. The interest is to be compounded
every month, and her only repayment will be in full after 3 months. How much will Olivia pay in
interest, rounded to the nearest dollar?
7.
A coin is tossed and a number cube is rolled at the same time. What is the probability that the coin will
land on tails and the number cube will land on 4?
8.
Draw a graph (number line) to show the solution to the equation 6 + 4x = - 10. (Solve first)
9.
Yannick bought a bicycle. He paid $194.25, including tax. If the sales tax rate is 5%, how much did
Yannick pay for tax?
10. If y = mx, and y is 12 when x is 4, then what is the constant of proportionality in this equation?
11. A color spinner was spun 8 times and landed on blue 5 of those times. What is a reasonable prediction of
the number of times the spinner will land on blue in the next 240 spins?
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12. Sarah has opened a bag of colored candies and counted the number of each color. She has 10 red, 18
green, 9 yellow, and 13 brown candies. Based on these results, how many green candies can she expect
in a larger bag of 250 candies?
13. What is the value of x in the equation below?
-6x + 9 = 33
14. Tony hit 9 out of 15 pitches at baseball practice yesterday. What percentage of the pitches did Tony NOT
hit?
15. Parallelogram PQRS is pictured below.
What is the measure of <PQT?
16. Daniel was comparing the net worth worksheets of two families in his economics class.
What is the net worth of family B?
3
17. A 5-liter jug is full of lemonade. If the lemonade is poured into 300 mL paper cups, how many cups will
be filled?
18. Brandi wants to participate in an after-school program. She has a choice of one art class, three dance
classes, two gymnastics classes, or three sports classes. She cannot decide, so she writes the name of
each class on a slip of paper and draws one slip out of a bag. What is the probability that she does NOT
draw a dance class?
19. The table shown below lists the prices of the same cell phone at several stores and the discounts that
will be applied upon purchase.
Which store has the best buy on the cell phone?
20. Will has a spinner with six equal sections numbered one through six. If Will spins the spinner 150 times,
how many times can he expect to spin a number less than 5?
21. Demarcus buys 3 shirts that cost $12 each. He also buys 2 pairs of pants that cost $18 each. How much
does he spend on the clothes?
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22. Michaela, Hope and Jasmine are going to be roommates to save money. They each can afford $350 per
month for housing expenses, including utilities. They look at the apartment choices listed below.
Circle all of apartments that can Michaela, Hope and Jasmine can afford to rent.
23. In Ponce de Leon Park there is a flagpole that is exactly 50 feet tall. Nearby there is a pine tree that
appears to be nearly as tall as the flagpole. On a sunny afternoon the flagpole is casting a 15-foot-long
shadow on the ground. The pine tree is casting a 12-foot-long shadow on the ground at the same time.
How much taller than the pine tree is the flagpole?
24. Find the unit rate for each situation below. Then circle the one that is the best deal.
________ A 6 pack for $2.40
________ A 12 pack for $5.40
________ A 20 pack for $7.00
________ A 24 pack for $9.60
5
25. Write SOLUTION or NOT A SOLUTION next to each answer for the inequality -5x – 5 < 25.
_____ -4
_____ -5
_____ -6
_____ -7
26. A map has a scale of 2 in. = 25 mi. Town A is 135 miles from Town B. Which equation can be used to
calculate the distance between the two towns on the map?
F.
G.
H.
J.
27. Which of these expressions has the greatest value?
A. -3 + 1
B. -3 x 1
C. -3 ÷ 1
D. -3 – 1
28. Nasreen’s father gave her $45.00 to spend at the mall. Her mother gave her m dollars to spend at the
mall. Nasreen spent twice as much money as what her mother gave her. Which expression represents
the number of dollars Nasreen has left?
F. $45.00 + 2m – m
G. 3m – $45.00
H. $45.00 + m – 2m
J. 2 ($45.00 + m) – m
29. The relationship between sets of rational number is pictured below.
Integers
Whole Numbers
Rational
Numbers
Natural
Numbers
Write either TRUE or FALSE next to each
statement below.
_____ All whole numbers are natural numbers.
_____ All natural numbers are integers.
_____ All natural numbers are whole numbers.
_____ All whole numbers are integers
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