West B Test Translating English to Algebra 2 — Questions and Answers
Question 1: A number is decreased by 9 and the result is multiplied by 4. Which expression represents this?
- 4(n - 9) (Correct answer)
- 4n - 9
- (n + 9) × 4
- 4 - 9n
Correct answer: 4(n - 9)
Decreasing n by 9 gives (n - 9), then multiplying by 4 gives 4(n - 9).
Question 2: Three times the sum of a number and 7 equals 36. Which equation models this?
- 3n + 7 = 36
- 3(n + 7) = 36 (Correct answer)
- 3n + 21 = 7
- n + 7 = 36 ÷ 3
Correct answer: 3(n + 7) = 36
The sum of n and 7 is (n + 7), and three times that sum is 3(n + 7) = 36.
Question 3: Maria earns $12 per hour and received a $50 bonus. Which expression gives her total earnings for h hours?
- 12 + 50h
- 12h - 50
- 12h + 50 (Correct answer)
- 50h + 12
Correct answer: 12h + 50
Hourly pay is 12h and the bonus adds 50, giving 12h + 50.
Question 4: The quotient of twice a number and 5 is 8. Which equation is correct?
- 2n ÷ 5 = 8 (Correct answer)
- 2 ÷ (5n) = 8
- n ÷ 10 = 8
- 5 ÷ 2n = 8
Correct answer: 2n ÷ 5 = 8
Twice a number is 2n, and its quotient with 5 gives 2n/5 = 8.
Question 5: A number increased by 15 is at least 40. Which inequality represents this?
- n + 15 > 40
- n + 15 ≥ 40 (Correct answer)
- n + 15 ≤ 40
- n - 15 ≥ 40
Correct answer: n + 15 ≥ 40
'At least 40' means greater than or equal to 40, so n + 15 ≥ 40.
Question 6: Five less than twice a number is 11. Which equation is correct?
- 5 - 2n = 11
- 2n - 5 = 11 (Correct answer)
- 2(n - 5) = 11
- 2n + 5 = 11
Correct answer: 2n - 5 = 11
'Five less than twice a number' means 2n - 5, so 2n - 5 = 11.
Question 7: The product of a number and 6, divided by 3, gives 14. Which equation models this?
- 6n + 3 = 14
- 6n ÷ 3 = 14 (Correct answer)
- n ÷ 6 × 3 = 14
- 3 ÷ 6n = 14
Correct answer: 6n ÷ 3 = 14
The product of n and 6 is 6n, and dividing by 3 gives 6n/3 = 14.
West B Test Translating English to Algebra 2
A number is decreased by 9 and the result is multiplied by 4.
Which expression represents this?