West B Test Translating English to Algebra 3

Question 1

A rectangle's length is 3 more than twice its width w. Which expression gives the length?

Accepted Answer

2w + 3

Answer

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?

Accepted Answer

4n + 7 < 35

Answer

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?

Accepted Answer

c = 30d + 25

Answer

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?

Accepted Answer

n/2 - 4 = 10

Answer

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?

Accepted Answer

n + (n + 1) = 51

Answer

Consecutive integers are n and n+1, so their sum n + (n+1) = 51.

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