Real World Inequalities

Ellie is renting a paddle boat. The boat rents for a $5 fee plus $3.50 per hour. She wants to spend under $30 altogether. Write the inequality to determine how long she can rent the paddle boat.

• 5x + 3.50 < 30

• 5 + 3.50x < 30

• 5x + 3.50 ≤ 30

• 5 + 3.50x ≤ 30

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.8

Kori wants to raise at least $450 to donate to her school. She has raised $45 by having a yard sale She plans to bake pies and sell them to make the remaining money. If she plans to sell the pies for $15 each, write an inequality to determine how many pies she must sell to meet or exceed her goal.

• 45x + 15 ≥ 450

• 15x + 45 ≤ 450

• 15x + 45 ≥ 450

• 15x + 45 > 450

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.B.8

Ken has $40 to spend on groceries. He buys a ham for $14 and then wants to pick up apples for $2.50 per pound. Write an inequality to determine how many pounds of apples he can buy and stay within budget.

• 2.5x + 14 > 40

• 2.5x + 14 < 40

• 2.5 + 14x ≤ 40

• 14 + 2.5x ≤ 40

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

Trey is renting a paddle board. He pays $6 per hour plus a $10 rental fee. He has $30 to spend. Write an inequality to determine the maximum number of hours can he rent the paddle board.

• 10x + 6 < 30

• 6x + 10 ≤ 30

• 6x + 10 ≥ 30

• 10x + 6 ≤ 30

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

Megan has $45 on a coffee shop gift card. She buys a mug for $9 and plans to spend the rest on $4 cups of coffee. Write an inequality to determine the maximum number of cups of coffee she can buy.

• 9 + 4x ≤ 45

• 9x + 4 ≤ 45

• 4x + 9 < 45

• 4x + 9 ≥ 45

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

Josie needs $1500 for a vacation. She makes $18 per hour at her job and has already saved $840. Write an inequality to determine the minimum number of hours that Josie must work to be able to afford the vacation.

• 18x + 1500 > 840

• 18x + 840 > 1500

• 18x + 840 ≤ 1500

• 18x + 840 ≥ 1500

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

Ryan is taking some friends to the movies. He doesn't want to spend any more than $80. Each movie ticket costs $7.50 and he plans to buy $20 worth of popcorn for everyone to share. Write an inequality to determine how many movie tickets Ryan can purchase.

• 7.5x + 20x ≤ 80

• 7.5x + 20 ≤ 80

• 7.5 + 20x ≤ 80

• 7.5x + 20 ≥ 80

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.B.8

Mrs. Ellison is selling homemade bracelets at a craft fair. She needs to sell more than $150 worth of bracelets to make a profit. She sells the bracelets for $12 each. Write an inequality to determine how many more bracelets she needs to sell, if after one hour she has made $24.

• 12x + 24 > 150

• 12x - 24 > 150

• 12x + 24 < 150

• 12x - 24 < 150

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8