Math Writing Questions 3 — Questions and Answers
Question 1: A word problem states: 'Sarah earns $15 per hour and works h hours. She also receives a $50 bonus.' Which equation represents her total earnings T?
- T = 15h + 50 (Correct answer)
- T = 50h + 15
- T = 15 + 50h
- T = 15h - 50
Correct answer: T = 15h + 50
Total earnings equals the hourly rate times hours worked plus the flat bonus: T = 15h + 50.
Question 2: Which inequality represents 'a number x is at most 12'?
- x ≤ 12 (Correct answer)
- x < 12
- x ≥ 12
- x > 12
Correct answer: x ≤ 12
'At most 12' means x can equal 12 or be less, so x ≤ 12.
Question 3: A tank holds 200 gallons and drains at 4 gallons per minute. Which expression gives the amount W remaining after m minutes?
- W = 200 - 4m (Correct answer)
- W = 4m - 200
- W = 200 + 4m
- W = 200 ÷ 4m
Correct answer: W = 200 - 4m
Starting volume minus the drain rate times minutes gives W = 200 - 4m.
Question 4: Which expression represents 'three less than twice a number n'?
- 2n - 3 (Correct answer)
- 3 - 2n
- 2(n - 3)
- 3n - 2
Correct answer: 2n - 3
'Twice a number' is 2n, and 'three less than' means subtract 3, giving 2n - 3.
Question 5: A store marks up items by 20%. If an item costs the store $c, which expression gives the selling price S?
- S = 1.2c (Correct answer)
- S = c + 20
- S = 0.2c
- S = c - 0.2c
Correct answer: S = 1.2c
A 20% markup means multiplying the cost by 1.20, so S = 1.2c.
Question 6: Which equation models 'the sum of two consecutive integers equals 47'?
- n + (n + 1) = 47 (Correct answer)
- n + (n + 2) = 47
- 2n = 47
- n(n + 1) = 47
Correct answer: n + (n + 1) = 47
Consecutive integers differ by 1, so the two numbers are n and n+1, and their sum is 47.
Question 7: A recipe requires r cups of flour for 12 cookies. Which expression gives the cups needed for 60 cookies?
- 5r (Correct answer)
- r + 60
- 60r
- r/5
Correct answer: 5r
60 cookies is 5 times 12 cookies, so you need 5r cups of flour.
Math Writing Questions 3
A word problem states: 'Sarah earns $15 per hour and works h hours.
She also receives a $50 bonus.' Which equation represents her total earnings T?