Grade 7 Practice Test #2
Name: ______
1. Which expression represents the difference of (3x +2y) and (2x - y)?
A 5x + 4y B 5x – 4y C x + 3y D x + y
2. Which steps can be used to solve for the value of y?
¾ (y -23) = 47
A divide both sides by ¾, then add 23 to both sides
B add 23 to both sides, then divide both sides by ¾
C multiply both sides by ¾, then add 23 to both sides
D subtract ¾ from both sides, then add 23 to both sides
3. Julia makes cushions using 2 yards of fabric per cushion. She has 9 yards of fabric.
What is the greatest number of cushions Julia can make?
A 2 B 3 C 4 D 5
4. John’s bill at a restaurant was $62.50, before tax. The tax was 8%. He then added a tip of 20% of the amount before tax. How much did he pay?
A $75.00 B $80.00 C $81.00 D $82.00
5. Brian bought a used car for c dollars. One year later the value of the car was 0.76c.
Which expression is another way to describe the change in the value of the car?
A 0.24% decrease B 0.76% decrease C 24% decrease D 76% decrease
6. On her birthday, John took his wife Alana and their son Steve out for dinner. All three ordered the daily special, which had a price of $28.60.
· Alana received a 30% discount because it was her birthday.
· Steve’s dinner was half price for a child's portion.
What was the total amount of the bill for the dinner after discounts but before tax and tip were added?
A $55.40 B $62.92 C $67.90 D $72.36
7. Catherine bought 3 scarves that each cost the same amount and 1shirt that cost $20. The items she bought cost a total of $65 before tax. What was the cost of each scarf?
A $15 B $20 C $25 D $40
8. The school principal designed a survey to find out which new snacks students would buy in the cafeteria. Which method of sampling will help the principal make a valid decision about which snacks to add to the menu?
A Give the survey to every student in the seventh grade.
B Give the survey to every student taking a math class after lunch.
C Give the survey to every student who walks to school.
D Give the survey to every fourth student entering the building in the morning.
9. Thomas bought a computer that was 15% off the regular price of $1,240. If an 8% sales tax was added to the cost of the computer, what was the price David paid for it?
A $200.88 B $1054.00 C $1138.32 D $1382.40
10. The circumference of a circle is 12π centimeters. What is the area, in square centimeters, of this circle?
A 6 π B 24 π C 36 π D 144 π
11. The spinner below has 8 sectors labeled with letters. Each sector of the spinner below is the same size, as shown.
If the arrow is spun 400 times, how many times would it be expected to land on a sector labeled ‘red’?
A 50 B 100 C 150 D 25
12. A box contains congruent colored cubes:
of the cubes are blue, are green, are red, and are yellow
Jose will choose a cube from the box without looking. Which color cube is Jose most likely to choose?
A blue B green C red D yellow
13. The table shows that the number of miles driven by Sandra is directly proportional to the number of gallons used.
Number of gallons used / Number of miles driven4 / 114
12 / 342
36 / 1026
What is the constant of proportionality for this relationship?
A 0.5 B 3 C 28.5 D 228
14. Simone bought a skirt at the sale price of $30. The original cost of the sweater was $80. What percent represents the discount that Simone received when buying the sweater?
A 30% B 37.5% C 60% D 62.5%
15. A storeowner made a list of the number of greeting cards sold last month. The store sold 153 Easter cards, 243 birthday cards, and 54 blank cards. Based on these data, which number is closest to the probability that the next customer will buy an Easter card?
A 0.11 B 0.33 C 0.56 D 0.89
16. Cameron conducted an experiment with a spinner that contained only 4 sectors: R, S, T, and V. He spun the arrow 40 times and recorded the frequencies in the table below.
Letter / FrequencyR / 15
S / 4
T / 9
V / 12
Based on the data, what is the probability that the next spin will land on R?
A B C D
17. Which phrase correctly describes the location on the number line of the opposite of 5?
A a point 5 units to the left of 5 B a point 5 units to the right of 5
C a point 5 units to the left of 0 D a point 5 units to the right of 0
18. Stephanie completed reading an assignment in 4days. On Wednesday, she read 8 pages. For each of the next 3 days, the number of pages she read increased by 50% over the number read the previous day. Ken read the same assignment, but he read the same number of pages each day for 5 days. How many pages did Ken read each day?
A 11.4 B 13 C 21.1 D 65.
19. Michael has a collection of 900 coins his uncle has collected in his overseas travel. After carefully counting the coins he discovered that are European coins. Of these 15% are from Greece. Finally he noticed that of the Greek coins were made of copper. Exactly how many Greek copper coins does Michael have?
A 6 B 18 C 81 D 120
20. A social club has 80 members who were eligible to vote for the new club president. On Wednesday of the members voted. On Thursday of those who didn’t vote on Wednesday voted. How many members had not voted at all?
A 49 B 48 C 32 D 16
21. Shaan’s math homework scores for the semester are 90, 85, 98, 60, 84, and 78. Shaan’s teacher said she would drop the lowest homework score when calculating grades. How does the mean of Shaan’s actual math scores compare to the mean of the scores when the lowest one is dropped?
A. The final mean is the same as the original.
B. The final mean is lower than the original.
C. The final mean is higher than the original.
D. The relationship cannot be determined
22. Last week Len spent $18 to bowl 4 games. This week he spent $27 to bowl 6 games. Len owns his bowling ball and shoes, so he only has to pay for each game that he bowls. If each of these bowling games costs the same amount of money, what is the constant of proportionality between the money spent and the number of games played?
A 1.5 B 2.0 C 4.5 D 9.0
23. The table below shows the dimensions of several triangles.
Base (cm) / Height (cm)12 / 8
18 / 12
24 / 16
30 / 20
Which pair of dimensions is in the same proportion as each of the pairs shown in the table?
A base of 20cm and height of 30cm B base of 40 cm and height of 28cm
C base of 36cm and height of 24cm D base of 48 cm and height of 30 cm
24. The drawing below represents a rectangular garden. In the scale drawing, one cm equals 30 meters.
What is the actual area of the garden?
A 3 m2 B 90 m2 C 210 m2 D 2,700 m2