Assessment 4 - Creating, Graphing, & Solving Inequalities

Which inequality models this situation?

In many states, you must be at least 16 years old to obtain a driver’s license.

age = a

• a < 16

• a > 16

• a ≤ 16

• a ≥ 16

Which graph represents a > 6

• A

• B

• C

• D

• E

Which inequality describes this number line?

• x > 2.5

• x < 2.5

• x ≤ 2.5

• x ≥ 2.5

Solve: -3x + 9 > 18

• x < -9

• x > -9

• x < -3

• x > -3

Solve: -4x ≥ 4x - 16

• x ≤ 2

• x ≤ -2

• x ≥ 2

• There is no solution to this inequality.

Anand is a plumber hoping to make at least $250 on his next job. If he charges an initial fee of $65 and an hourly rate of $28. Create an inequality to model the minimum number of hours of work (h) Anand should work.

• 28h + 65 = 250

• 65h + 28 ≥ 250

• 28h + 65 ≥ 250

• 28h + 65 > 250

Anand is a plumber hoping to make at least $250 on his next job. If he charges an initial fee of $65 and an hourly rate of $28, what is the minimum number of hours of work (h) Anand should work?

Note: Anand charges one full hour at a time.

• He should work at least 6 hours.

• He should work 6.6 hours.

• He should work at least 7 hours.

• He should work at most 6 hours.

The price of a train ticket consists of a $5 processing fee and a charge of $2.75 per stop (s). If Julia has $21, what is the maximum number of stops she can travel? (Assume this is a one way trip).

• 5

• 6

• 7

• 8

You have a phone card worth $20. There is a $1.10 charge to activate the card. It is $0.42 minutes per minute to talk on the phone. Create an inequality to model using the phone card.

• 1.10x + 0.42 ≤ 20

• 0.42x + 1.10 ≤ 20

• 0.42(20) + 1.10 ≤ x

• 0.42x + 1.10 = 20

You have a phone card worth $20. There is a $1.10 charge to activate the card. It is $0.42 minutes per minute to talk on the phone. Which of the following is(are) a solution(s)?

Note: You can talk until the second the card runs out.

• 10

• 20

• 45

• 50