Review Writing and Solving Inequalities

Camie and Jorge each begin saving money for a new computer. Camie saves $5 per week plus $50 she receives for her birthday. Jorge saves $7 per week. Which of the following can be used to find w, the number of weeks until Jorge has saved at least the same amount as Camie?

• 7w = 5w+50

• 50+5w < 7w

• 5w+50 ≥ 7w

• 7w ≥ 5w+50

A local bakery has a daily operating cost of $1800 plus a cost of $10 per cake they make. If a cake sells for $15, which equation could be used to determine the minimum number of cakes, c, they must sell each day to earn a profit?

• 15c < 1800 + 10c

• 15c > 1800 + 10c

• 15c = 1800 + 10c

• 10c < 1800 + 15c

Printing company A prints calendars for $3 each and a setup fee for $46. Printing company B prints calendars for $5 each and has a setup fee of $20. Which inequality would be used to determine when company A is less than company B?

• 3x+46 < 5x+20

• 3x+46 > 5x+20

• 49x < 25x

• 3x+20 < 5x+46

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Which inequality represents this scenario if “x” represents the number of games Cameron can play?

• 6x + 8 ≥ 42

• 8x + 6 ≤ 42

• 6x + 8 > 42

• 8x + 6 < 42

A limo driver needs to make more than $450 in one day. He charges a rental fee of $375 plus $0.85 per mile. What inequality represents the number of miles, x, he would have to drive to reach his goal?

• 0.85x + 375 > 450

• 0.85x + 375 < 450

• 0.85 + 375x > 450

• 0.85 + 375x < 450

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

• 5x + 10 ≥ 100

• 5x - 100 ≥ 10

• 10x + 5 ≤ 100

• 5x + 10 > 100

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game (g). Cameron has only $42 to spend. Which inequality represents this scenario if “g” represents the number of games Cameron can play?

• 6g + 8 ≥ 42

• 8g + 6 ≤ 42

• 6g + 8 > 42

• 8g + 6 < 42

Cody’s Gym charges a $15 fee to join and $30 per month. Tyler’s Gym charges a $30 fee to join and $20 per month. Write an inequality that could be used to determine after how many months Tyler’s gym would be a better deal.

• 30 + 20x < 15 + 30x

• 30x + 20 < 15x + 30

• 30 + 20x > 15 + 30x

• 30x + 20 > 15x + 30

Jack and Jill purchased cell phones. Jack signed up for a plan that charges a fee of $24.00 plus $0.08 every minute she talks. Jill's plan charges a fee of $10.00 plus $0.15 every minute she talks. Which inequality could be used to determine when Jill's cell phone plan costs more than Jack's cell phone plan?

• 24m+0.08m > 10m+0.15m

• 24+0.08m < 10+0.15m

• 24+0.08m > 10+0.15m

• 24m+0.08m < 10m+0.15m

The greatest weight a truck can carry is 1,600 pounds. The truck is loaded with a piano that weight 400 pounds and other boxes that weight 50 pounds each. Which inequality represents all possible values of x , the number of boxes that can be loaded into the truck?

• 50x + 400 ≤ 1,600

• 50x + 400 ≥ 1,600

• 400x + 50 ≤ 1,600

• 400x + 50 ≥ 1,600