West B Test Translating English to Algebra 3 — Questions and Answers
Question 1: A rectangle's length is 3 more than twice its width w. Which expression gives the length?
- 3w + 2
- 2w - 3
- 2w + 3 (Correct answer)
- 3(w + 2)
Correct answer: 2w + 3
Twice the width is 2w, and 3 more than that is 2w + 3.
Question 2: Seven more than four times a number is less than 35. Which inequality is correct?
- 4n + 7 < 35 (Correct answer)
- 4n - 7 < 35
- 7n + 4 < 35
- 4(n + 7) < 35
Correct answer: 4n + 7 < 35
Four times a number is 4n, and seven more gives 4n + 7 < 35.
Question 3: The cost c of renting a car is $30 per day plus a flat fee of $25. Which equation gives cost for d days?
- c = 25d + 30
- c = 30d + 25 (Correct answer)
- c = 30 + 25d
- c = 55d
Correct answer: c = 30d + 25
The daily rate of $30 times d days plus the flat $25 fee gives c = 30d + 25.
Question 4: Half of a number, decreased by 4, equals 10. Which equation is correct?
- n/2 + 4 = 10
- 4 - n/2 = 10
- n/2 - 4 = 10 (Correct answer)
- (n - 4)/2 = 10
Correct answer: n/2 - 4 = 10
Half of n is n/2, and decreased by 4 gives n/2 - 4 = 10.
Question 5: Two consecutive integers have a sum of 51. If the smaller integer is n, which equation is correct?
- n + n = 51
- n + (n + 1) = 51 (Correct answer)
- n × (n + 1) = 51
- 2n + 2 = 51
Correct answer: n + (n + 1) = 51
Consecutive integers are n and n+1, so their sum n + (n+1) = 51.
Question 6: A number multiplied by itself is 49. Which equation represents this?
- 2n = 49
- n + n = 49
- n² = 49 (Correct answer)
- n ÷ n = 49
Correct answer: n² = 49
A number multiplied by itself is n × n = n², so n² = 49.
Question 7: The difference between a number and 8, divided by 2, is 6. Which equation is correct?
- (n + 8) / 2 = 6
- (8 - n) / 2 = 6
- (n - 8) / 2 = 6 (Correct answer)
- n / 2 - 8 = 6
Correct answer: (n - 8) / 2 = 6
The difference between n and 8 is (n - 8), and dividing by 2 gives (n - 8)/2 = 6.
West B Test Translating English to Algebra 3
A rectangle's length is 3 more than twice its width w.
Which expression gives the length?