West B Test Translating English to Algebra 5 — Questions and Answers
Question 1: The total of a number and its double is 33. Which equation represents this?
- n × 2n = 33
- n + 2n = 33 (Correct answer)
- n - 2n = 33
- 2(n + n) = 33
Correct answer: n + 2n = 33
A number is n, its double is 2n, and their total gives n + 2n = 33.
Question 2: Four times a number is subtracted from 20 to get 8. Which equation is correct?
- 4n - 20 = 8
- 20 - 4n = 8 (Correct answer)
- 4(20 - n) = 8
- 20 + 4n = 8
Correct answer: 20 - 4n = 8
'Four times a number subtracted from 20' gives 20 - 4n = 8.
Question 3: A class has 5 more girls than boys. If there are b boys, which expression gives the number of girls?
- b - 5
- 5b
- b + 5 (Correct answer)
- 5 - b
Correct answer: b + 5
If there are 5 more girls than boys, the number of girls is b + 5.
Question 4: The difference between twice a number and 7 is greater than 13. Which inequality is correct?
- 2n + 7 > 13
- 7 - 2n > 13
- 2n - 7 > 13 (Correct answer)
- 2(n - 7) > 13
Correct answer: 2n - 7 > 13
'Twice a number' is 2n, and 'difference between 2n and 7' gives 2n - 7 > 13.
Question 5: A plumber charges $65 per hour and a one-time service fee of $40. The customer pays no more than $300. Which inequality is correct?
- 65h + 40 < 300
- 65h + 40 ≤ 300 (Correct answer)
- 65h - 40 ≤ 300
- 40h + 65 ≤ 300
Correct answer: 65h + 40 ≤ 300
Total cost is 65h + 40, and 'no more than $300' means 65h + 40 ≤ 300.
Question 6: A number decreased by twice another number equals 10. If the numbers are x and y, which equation is correct?
- x - 2y = 10 (Correct answer)
- 2x - y = 10
- x + 2y = 10
- 2(x - y) = 10
Correct answer: x - 2y = 10
'A number (x) decreased by twice another (2y)' gives x - 2y = 10.
Question 7: The product of two numbers is 48. One number is 6 more than the other. If the smaller number is n, which equation is correct?
- n + (n + 6) = 48
- n(n - 6) = 48
- n(n + 6) = 48 (Correct answer)
- 6n = 48
Correct answer: n(n + 6) = 48
The two numbers are n and n+6, and their product is n(n+6) = 48.
West B Test Translating English to Algebra 5
The total of a number and its double is 33.
Which equation represents this?