West B Test Translating English to Algebra 4 — Questions and Answers
Question 1: A store sells apples for $0.75 each and oranges for $1.25 each. Sam buys a apples and 3 oranges. Which expression gives the total cost?
- 0.75 + 1.25a + 3
- 0.75a + 3.75
- 0.75a + 1.25(3) (Correct answer)
- 2a + 3
Correct answer: 0.75a + 1.25(3)
Cost of a apples is 0.75a and 3 oranges cost 1.25(3), giving total 0.75a + 1.25(3).
Question 2: A number n is no more than 20. Which inequality correctly represents this?
- n < 20
- n > 20
- n ≥ 20
- n ≤ 20 (Correct answer)
Correct answer: n ≤ 20
'No more than 20' means n cannot exceed 20, so n ≤ 20.
Question 3: The sum of three consecutive even integers is 78. If the smallest is n, which equation applies?
- n + (n+1) + (n+2) = 78
- n + (n+2) + (n+4) = 78 (Correct answer)
- 3n + 6 = 78
- n(n+2)(n+4) = 78
Correct answer: n + (n+2) + (n+4) = 78
Consecutive even integers differ by 2: n, n+2, n+4, so n + (n+2) + (n+4) = 78.
Question 4: A taxi charges a $2.50 base fare plus $1.75 per mile. Which expression gives the cost for m miles?
- 2.50m + 1.75
- 1.75 + 2.50m
- 1.75m + 2.50 (Correct answer)
- 4.25m
Correct answer: 1.75m + 2.50
The per-mile charge is 1.75m and the base fare is 2.50, giving 1.75m + 2.50.
Question 5: Nine subtracted from a number gives the same result as the number divided by 3. Which equation is correct?
- 9 - n = n/3
- n - 9 = n/3 (Correct answer)
- n - 9 = 3n
- n + 9 = n/3
Correct answer: n - 9 = n/3
'Nine subtracted from n' is n - 9, and this equals n divided by 3, giving n - 9 = n/3.
Question 6: The perimeter of a square is at most 48 cm. Which inequality gives the side length s?
- 4s > 48
- 4s = 48
- 4s ≥ 48
- 4s ≤ 48 (Correct answer)
Correct answer: 4s ≤ 48
Perimeter of a square is 4s, and 'at most 48' means 4s ≤ 48.
Question 7: A number is tripled and then 8 is added to get 29. Which equation is correct?
- 3(n + 8) = 29
- 3n - 8 = 29
- 3n + 8 = 29 (Correct answer)
- 8n + 3 = 29
Correct answer: 3n + 8 = 29
Tripling n gives 3n, then adding 8 gives 3n + 8 = 29.
West B Test Translating English to Algebra 4
A store sells apples for $0.75 each and oranges for $1.25 each.
Sam buys a apples and 3 oranges.
Which expression gives the total cost?