Linear inequalities (one variable)

Marcus has accepted a job selling cell phones. He will be paid $1500 plus 15% of his sales each month. He needs to earn at least $2430 to pay his bills. For what amount of sales will Marcus be able to pay his bills?

• at least 6200 sales

• at least 62 sales

• at least 14700 sales

• at least 2205 sales

Use the following for questions 17-19:

The SHMS teachers decided to all have matching pajamas for this fundraiser day. To order matching pajamas, there would be a fee of $10 per person with a special order fee of $35.

The school has a budget of $435 for the pajamas. How many pajamas can be purchased?

#19: Solve the question.

• x = 4385 pajamas

• x = 40 pajamas

• y = $4385

• y = $40

Lawrence’s father gave him 200 baseball cards. Each week, Lawrence purchases 25 baseball cards to add to his collection. Which inequality can be used to find w, the number of weeks after starting his collection when Lawrence will have more than 750 baseball cards in his collection?

R(n)=125 + 80n models the amount of money R(n) in the register after selling n tickets. How many tickets must be sold to have $18,445 in the register? 

• 233
• 92
• 229
• 119

You have a budget of $300 to order shirts for a math club. The equation 10x + 12y = 300 models the total cost, where x is the number of short-sleeved shirts and y is the number of long-sleeved shirts. Which is a possible combination of shirts you can buy?

• 10 short sleeve,

  12 long sleeve

• 30 short sleeve,

  25 long sleeve

• 25 short sleeve,

  30 long sleeve

• 12 short sleeve,

  10 long sleeve

A car rental company charges $34 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $20 per day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one-day rental?

The temperature dropped from 7 Degrees to -5 degrees. 
Marina: “Wow, I can’t believe the temperature fell 12 Degrees.
Jason: No, it only fell 2 Degrees.
Who is Correct?

• Marina
• Jason
• Neither

Jillian needs at least $4800 to buy her first car. She has already saved half. If she saves $50/week, what is the minimum number of weeks it will take her to save enough for the car?

Write the inequality to the problem.

• 50x+1/2 ≥ 4800

• 1/2x+50 ≤ 4800

• 50x+2400 ≥ 4800

• 50x+2400 ≤ 4800

SOLVE the inequality that represents the situation, on PAPER first. Then choose the correct answer.

The maximum seating capacity of a school theater is 750 people. The upper level holds 75 people. The lower level has 15 sections that can seat the same unknown number of people in each section. How many people can be seated in each section on the lower level?

Inequality: 75 + 15p ≤ 750

• p ≤ 9.8 people

• p ≤ 45 people

• p ≤ 55 people

• p ≤ 10.2 people

You can get out of your seat ANYTIME you want to without asking the teacher.

• TRUE

• FALSE