Question

1. A computer technician charges a flat fee of $35 to repair a computer in addition to an hourly rate of $22.50. The technician has calculated he will earn at least $215 from his next repair job. Which inequality can be used to determine the number of hours, h, that the technician will work on his next job?
A. 22.5h + 35 ≥ 215 , with a solution of h ≥ 8
B. 22.5h + 35 > 215 , with a solution of h > 8
C. 35h + 22.5 ≥ 215 , with a solution of h ≥ 5.5
D. 35h + 22.5 > 215 , with a solution of h > 5.5
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2. A taxi cab charges a flat rate of $3 in addition to $1.80 per mile, m, traveled. Jennifer has no more than $25 to spend on a ride. Which inequality represents Jennifer's situation?
A. $3 + 1.80m ≥ $25
B. $3 − 1.80m ≥ $25
C. $3 + 1.80m ≤ $25
D. $3 − 1.80m ≤ $25
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3. Maya is playing a game in which a set of cards is laid out, face down, in a grid pattern. Each card has a mathematical expression written on its face. A player flips over one card and then a second. If the values represented on both card faces are equal, the player scores a point. Maya flips over a card showing the expression below. -6over7
Which expression on Maya's second card will allow her to score a point?
A. –(–6/7)
B. 6/-7
C. 7/-6
D. -6/-7

Answer 1

1. Multiply the hourly rate by the number of hours worked ( 22.5h) add that to the flat fee ( 22.5h +35) and that needs to be equal to or greater than what he expects to make:

A. 22.5h + 35 ≥ 215 , with a solution of h ≥ 8

2. Same method as number 1:

C. $3 + 1.80m ≤ $25

3. Each fraction would need 1 negative sign and have the same numerator and denominator, so the answer would be B.6/-7