Math 7 (Grade 7) Midterm — Units 3–4

Part 1: Multiple Choice

1. Which inequality is the solution of 3x + 5 ≤ 20?
   1. A. x ≥ 5
   2. B. x ≤ 25/3
   3. C. x ≥ 25/3
   4. D. x ≤ 5
2. Which expression is equivalent to 5a - 2b + 3a + 7b?
   1. A. 13ab
   2. B. 8a - 9b
   3. C. 2a + 5b
   4. D. 8a + 5b
3. Which inequality is the solution of -3x > 12?
   1. A. x < -4
   2. B. x < 4
   3. C. x > -4
   4. D. x > 4
4. Which expression is equivalent to 3(x + 4) - 2x?
   1. A. x + 7
   2. B. 5x + 12
   3. C. x + 12
   4. D. x + 4
5. A gym charges $25 to join plus $15 per month. Leo has paid $130 in total. For how many months has he been a member?
   1. A. 7 months
   2. B. 8 months
   3. C. 10 months
   4. D. 5 months
6. Which expression is equivalent to 6x + 9?
   1. A. 2(3x + 9)
   2. B. 6(x + 9)
   3. C. 3(2x + 3)
   4. D. 3(2x + 9)
7. Solve: x/3 + 5 = 11
   1. A. x = 2
   2. B. x = 18
   3. C. x = 48
   4. D. x = 6
8. Jada has $40 and saves $6 each week. She wants at least $100. Which inequality models the number of weeks w?
   1. A. 40 + 6w ≤ 100
   2. B. 40 + 6w ≥ 100
   3. C. 40w + 6 ≤ 100
   4. D. 6 + 40w ≥ 100
9. Solve: 4x - 7 = 21
   1. A. x = 7
   2. B. x = 5
   3. C. x = 28
   4. D. x = 3.5
10. Solve: 2(x - 3) = 14
    1. A. x = 7
    2. B. x = 4
    3. C. x = 8.5
    4. D. x = 10
11. 18 is 30% of what number?
    1. A. 5.4
    2. B. 60
    3. C. 48
    4. D. 54
12. The price of a jacket drops from $80 to $60. What is the percent decrease?
    1. A. 33 1/3%
    2. B. 25%
    3. C. 75%
    4. D. 20%
13. A game costs $25 and the sales tax rate is 8%. What is the total cost?
    1. A. $2.00
    2. B. $25.08
    3. C. $33.00
    4. D. $27.00
14. A meal costs $60. The family leaves an 18% tip. What is the total cost including the tip?
    1. A. $10.80
    2. B. $61.08
    3. C. $70.80
    4. D. $78.00
15. What is 15% of 80?
    1. A. 1.2
    2. B. 15
    3. C. 12
    4. D. 68
16. A salesperson earns a 6% commission on a $3,500 sale. How much commission does she earn?
    1. A. $210
    2. B. $2,100
    3. C. $21
    4. D. $3,710
17. A plant grew from 50 cm to 65 cm tall. What is the percent increase?
    1. A. 15%
    2. B. 77%
    3. C. 30%
    4. D. 23%
18. A shirt costs $40 and is on sale for 25% off. What is the sale price?
    1. A. $10
    2. B. $35
    3. C. $15
    4. D. $30
19. A store buys a backpack for $20 and marks up the price by 35%. What is the selling price?
    1. A. $55
    2. B. $35
    3. C. $27
    4. D. $7
20. Ana deposits $500 in an account that earns 4% simple interest per year. How much interest does she earn in 3 years?
    1. A. $20
    2. B. $560
    3. C. $60
    4. D. $6

Part 2: Written Response

21. A jacket costs $80. It is on sale for 30% off, and then 7% sales tax is added to the sale price. (a) How much money does the discount save? (b) What is the final cost? Show your work.