### grade 7 castle midterm review2016

```Teacher: Huchital
7.a.3, 7.ee.b.4a, 7.ns. a3
cw / hw
1. Teddy’s hardware store tracks the amount of nails that are sold on a weekly basis. The chart below shows the totals from
each day last week:
How many more pounds of nails were sold on Wednesday as compared to Friday?
A. 1 3/8 pounds
B. 17 7/8 pounds
C. 1 1/2 pounds
D. 9 5/8 pounds
2. Bella ran 4 7/8 miles and Jacob ran 6 1/4 miles this morning on the nature trail in the park. The park charges an admission of
\$2.25 per person, and has already collect \$54.00 this morning. How much farther did Jacob run than Bella this morning?
A. 2 6/8 miles
B. 10 1/4 miles
C. 2 1/4 miles
D. 1 3/8 miles
3. Last week, Holly brought home three five-pound bags of apples and a four-pound bag of cherries. She made an apple pie
and cherry pie for the bake sale. The apple pie called for 2 1/2 pounds of apples, and the cherry called for 2 1/4 pounds of
cherries. How many pounds of apples and cherries were left after she made the pies?
A. 4 3/4 pounds of fruit
B. 2 1/2 pounds of apples and 1 1/2 pounds of cherries
C. 12 1/2 pounds of apples and 1 3/4 pounds of cherries
D. 2 1/2 pounds of apples and 2 1/4 pounds of cherries
4. Fred Finestone is known around town for making his famous French fries. The county fair is coming in
two weeks. Fred has rented a booth and will be selling the famous fries. He is down at the local
produce market and is about to place his order. He has calculated that he will need 56 2/3 pounds of
potatoes for the four days at the fair. In order to prepare for the fair, he will cut 14 1/2 pounds of
potatoes the night before the fair opens. How many pounds will be he cutting after the fair opens?
A. 42 1/3 pounds
B. 42 1/6 pounds
C. 42 3/6 pounds
D. 70 1/3 pounds
5. Leslie needs a spool of twine for her art project. The project she is working on only requires 4 1/2 feet of twine. When Leslie
mom went to the store to purchase the twine and some other supplies, she discovered that the smallest spool she could find was
25 3/4 feet long. After Leslie uses 4 1/2 feet, how much twine will be left on the spool?
A. 21 1/4 feet
B. 26 feet
C. 21 1/2 feet
D. 25 1/4 feet
6. Seliah is practicing for the long jump for the upcoming track and field meet. Her first jump measured 9 1/2 feet. Her second
jump was 10 1/4 feet. How much longer was the second jump?
A. 1 1/2 feet
B. 19 3/4 feet
C. 1 1/4 feet
D. 3/4 feet
7. Jessica has a \$5 off coupon towards her next purchase of short sleeved t-shirts at her favorite store in the mall. T-shirts are
on special this week only for \$8 each. The equation y = 8x - 5 will give Jessica her final cost (y) to purchase x number of tshirts. If x = 9, what is the ordered pair (x, y)? [Ignore sales tax.]
A. (9, 5)
B. (17, 9)
C. (8, 9)
D. (9, 67)
8. Jessica has a \$5 off coupon towards her next purchase of short sleeved t-shirts at her favorite store in the mall. T-shirts are
on special this week only for \$8 each. The equation y = 8x − 5 will give Jessica her final cost (y) to purchase x number of tshirts. If she purchases 4 t-shirts, how much will Jessica spend on her shopping trip? [Ignore sales tax.]
A. \$7.00
B. \$32.00
C. \$27.00
D. \$37.00
9. Bubba’s Bait Shop charges \$2.00 for each can of worms, plus a \$5.00 surcharge. Bubba decided to lower the surcharge by
\$1.50 for the summer months. Which equation represents the new cost of purchasing k cans of worms from Bubba’s Bait
Shop?
A. f = 2.00k + 5.00
B. f = 2.00k + 1.50
C. f = 2.00k − 1.50
D. f = 2.00k + 3.50
10. Which inequality represents the translation of the following sentence?
"The quotient of a number and 5 is less than or equal to that number increased by 1."
A. 5x < x + 1
B. ≤ x + 1
C. ≥ x + 1
D. > x + 1
11. Which of the following graphs represents the solution set for the inequality 3x − 5 < 0?
A. B. C. D. 12. Which graph represents the solution set of the following inequality?
−3(x + 2) ≥ 6
A. B. C. D. 13. Which graph represents the solution set for the inequality?
A. B. C. D. 14. Which graph represents the solution set of the inequality 2x + 7 ≤ 9?
A. B. C. D. 15. Solve for x: 2x + 4 ≤ 12
A. x ≤ 4
B. x ≤ 8
C. x ≥ 4
D. x ≥ 8
16. The expression 5 ≤ x − 2 is equivalent to
A. x ≤ 7
B. x ≥ 7
C. x ≥ 3
Arthur wants to buy an expensive designer dress for his wife. The dress costs \$429.95. If Arthur puts down \$50.00 and pays
the rest in 5 equal installments, what will each payment be? [Ignore sales tax and interest.]
A. B. C. D. 5x + 50.00 = 429.95
5x − 50.00 = 429.95
5x = 429.95 × 50.00
5x = 429.95 ÷ 50.00
18. If you add 125 to 0.5 of a number, the result is 800. Which equation would help you to find the number?
A. 125 − 0.5x = 800
B. 125 + 0.5x = 800
C. 125 × 0.5x = 800
D. 125 ÷ 0.5x = 800
19. Which equation would best model this situation?
Al bought a sound system that lost a total of \$650.00, and he also bought some CD’s at \$9.99 each. The total that Al spent was
\$719.93. How many CD’s did Al buy? [Ignore sales tax.]
A. B. C. D. 650.00 + 9.99n = 719.93
650.00 − 9.99n = 719.93
650.00 × 9.99n = 719.93
650.00 ÷ 9.99n = 719.93
20. Which equation would best model this situation?
There are 3 flights that depart from New York and arrive in London. Combined, the 3 planes hold 1,200 people. If there are
405 seats in the first plane, and 345 more seats in the third plane than in the second, how many seats are there in the second
plane?
A. B. C. D. 405 + 1,200 + x + x = 345
405 + x + x + 345 = 1,200
405 + x + 345x = 1,200
405(2x) + 345 = 1,200
21. Yesterday Bill bought some bottles of soda for a party he is hosting. Today he bought 8 times as many bottles of soda as he
did yesterday. Bill has 27 bottles in all. Which equation would help you to find out how many bottles of soda Bill bought
yesterday?
A. x + 8x = 27
B. 8x − x = 27
C. 8x(x) = 27
D. 8x ÷ x = 27
22. John bought 3 cars in the last year for a total of \$30,000. He paid the same amount for each of the first 2 cars, and got the
3rd one for twice the amount of the 1st car. Which equation can be used to find out how much John paid for each car? [Ignore
sales tax.]
A. x(30,000) = 2x
B. x + 2x = 30,000
C. 30,000x = x + 2x
D. x + x + 2x = 30,000
23. Yesterday, Mary mailed her wedding invitations. Today she mailed 72 more invitations than she did yesterday. If Mary
mailed 200 invitations in all, how many invitations did she mail yesterday?
24. James bought a sweater that cost \$15.99 and some socks that cost \$0.99 per pair. The total cost was \$21.93. Write an
equation and solve it to find how many pairs of socks that James bought. [Ignore sales tax.]
25. Sid, Johnny and Nancy are triplets. Each received money and gifts for their birthday. Sid got more money and fewer gifts.
Nancy got the amount of money as Sid, and Johnny got twice as much money as Nancy. If Sid got \$280, how much did
Johnny get?
26. Simplify and solve the inequality: −4(x + 2) > 44.
Answer: x < 27. Use the distributive property to solve the inequality: 2(x − 5) > 100.
Answer: x > 28. Max is saving \$10 a month for a summer vacation. If he also has \$50 from his grandmother, how many months will Max
need to save to have a total of \$200? Choose the equation that represents this situation.
A. 50m + 10 = 200
B. 50m - 10 = 200
C. 10m - 50 = 200
D. 10m + 50 = 200
29. Answer: can be simplified to what mixed number in lowest terms?
30. Shenica is studying the properties of numbers. Her math teacher wrote this number sentence on the blackboard: Which property does this sentence illustrate?
B. identity property of multiplication
C. zero property of multiplication
D. distributive property
31. While doing her math homework, Nicole wrote the following sentence in her notebook:
Which property did Nicole use?
A. B. C. D. commutative property of addition
distributive property
32. Which of the following is an integer?
A. 2.2
B. -2
C. D. 33. The average surface temperature on Mars is -81°F. The average surface temperature on Saturn is -218°F. What is the
difference between these two surface temperatures?
34. The average surface temperature on Earth is 50°F.
The average surface temperature of the moon is −10°F.
What is the difference in these two surface temperatures?
Answer: 35. Find |–4 – (–10)|
.
36. Find |–8 + 6|.
Answer: 37. Kerry is looking forward to a skiing trip this weekend. She checked the temperature yesterday and today, and overnight it
dropped from 12°F to -5°F. What is the difference in the temperature?
38. Which expression is the same value as -12?
A. 7 + 5
B. -7 + 5
C. 7 + -5
D. -7 + (-5)
39. Evaluate: |–4| + -8 = 40. Annie owes her mother \$37.95 for her cell phone this month. If she has \$40.00, how much money will Annie have left after
she pays back her mother?
41. Becky owes \$250 on her credit card. She pays off \$120 but then uses the card to purchase \$50 worth of art supplies for
her students. How much money does Becky have now?
42. If q = 3 and r = -6, then what is the value of q - r?
Answer: 43. Joanne is playing a game with her friends. She is not doing very well. Currently Joanne is in debt 420 points. On her next
turn she loses another 30 points. What is Joanne’s score now?
Answer: 45. Dan is building a frame that is 28
feet wide. The supports that he is using are put in every will Dan use?
foot. How many supports
46. The area of a rectangle is length × width. What is the length of a rectangular pool table that has a width of 5 feet and an
47. The area of a rectangle is length × width. Sasha is looking at a store for rent. The floor plan is rectangular.
The length of the store is 21
feet, and the area is 325 square feet. What is the width of the store?
48. A box of pasta contains 16 ounces of pasta. If one serving is 1 ounces, how many servings are in one box of pasta?
49. Sid has 6 cans of soda left. He wants to pour the contents evenly into each of 4 cups. How much soda will be in each
cup?
50. The perimeter of a rectangle is the sum of the lengths of its sides. Mark wants to build a fence around his yard, which is in
the shape of a rectangle. The length of the yard is 23
feet. The width is 17 feet.
How much fencing does Mark need to buy?
51. Al wants to put a railing next to his stairs. The railing needs to be 18 feet long. If he has 2 pieces of wood that are each 7
feet long, how long must the third piece be? Write your answer in simplest form.
1. A 18. B
35. 6
2. D 19. A
36. 2
3. C 20. B
37. 17
4. B 21. A
38. D
5. A 22. D
39. -4
6. D 23. 64
40. 2.05
7. D 24. 6
41. -180
8. C 25. 140
42. 9
9. D 26. -13
43. -450
10. B 27. 55
44. -16
11. B 28. D
45. 57
12. A 29. 36, 1, 2 46. 9, 1, 2
13. D 30. A
47. 15
14. A 31. B
48. 12
15. A 32. B
49. 1, 2, 3
16. B 33. 137
50. 81
17. A 34. 60
51. 3, 1, 3
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