NJGPA Creating and Solving Equations and Inequalities 3

Question 1

An electrician charges $75 for the first hour and $50 for each additional hour. Which equation gives the total cost C for h hours (h > 1)?

Accepted Answer

C = 75 + 50(h − 1)

Answer

The first hour costs $75 and each additional hour (h − 1 hours) costs $50, so C = 75 + 50(h − 1).

Question 2

Solve for y: (y/3) + 5 = 11

Accepted Answer

y = 18

Answer

Subtract 5 to get y/3 = 6, then multiply both sides by 3: y = 18.

Question 3

The sum of three consecutive even integers is 54. What is the largest integer?

Accepted Answer

20

Answer

Let the integers be n, n+2, n+4; then 3n + 6 = 54, n = 16, so the largest is 20.

Question 4

Which graph represents the solution set of −2 ≤ x < 4?

Accepted Answer

Closed circle at −2, open circle at 4, shaded between

Answer

≤ means a closed circle at −2, and < means an open circle at 4.

Question 5

A gym membership costs $40 to join and $30 per month. Kevin has $220 to spend. Which inequality shows the maximum number of months m he can afford?

Accepted Answer

30m + 40 ≤ 220

Answer

Total cost is 30m + 40, and it must be at most $220, so 30m + 40 ≤ 220.

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