West B Test Translating English to Algebra 4

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?

Accepted Answer

0.75a + 1.25(3)

Answer

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?

Accepted Answer

n ≤ 20

Answer

'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?

Accepted Answer

n + (n+2) + (n+4) = 78

Answer

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?

Accepted Answer

1.75m + 2.50

Answer

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?

Accepted Answer

n - 9 = n/3

Answer

'Nine subtracted from n' is n - 9, and this equals n divided by 3, giving n - 9 = n/3.

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