Inequalities Word Problems (LT 2.2-2.4)

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

Tags

CCSS.7.EE.B.4B

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. SOLVE for minimum number of hours Joan will need to babysit?

• x ≥ 18

• x ≥ 22

• x ≤ 9.5

• x > 18

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

• 125x + 55 ≤ 600

• 125x + 55 ≥ 600

• 125x + 55 > 600

• 125x + 55 < 600

Tags

CCSS.7.EE.B.4B

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. SOLVE for the maximum amount of hours the DJ will play at the dance.

• x ≤ 4.36

• x ≥ 5.25

• x > 8.63

• x < 4.36

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• 10x + 1.50 ≥ 40
• 1.50x + 10 ≤ 40
• 1.50x + 10 <40
• 10x + 1.50 < 40

Tags

CCSS.7.EE.B.4B

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, SOLVE for the greatest number of rides Daniel can go on.

• x ≥ 3.85

• x ≤ 20

• x < 40

• x < -3.85

Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

• 200 + 25x ≥ 500
• 500 + 25x ≥ 200
• 500 - 25x ≥ 200
• 500 - 25x ≤ 200

Tags

CCSS.7.EE.B.4B

Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. SOLVE for the number of weeks Triniti will have at least $200 in her bank account.

• x ≥ 12

• x ≥ -12

• x ≤ 12

• x ≤ 28

The members of SLC need to raise at least $2000 to attend their national convention. They raised $300 with their last fundraiser and decide to host a school talent show to raise the rest. They plan to charge $10 for each ticket. Which inequality shows the number of tickets they must sale to reach their goal?

• 300x + 10 ≥ 2000

• 10x + 300 ≤ 2000

• 10x + 300 > 2000

• 300 + 10x ≥ 2000

Tags

CCSS.7.EE.B.4B

The members of SLC need to raise at least $2000 to attend their national convention. They raised $300 with their last fundraiser and decide to host a school talent show to raise the rest. They plan to charge $10 for each ticket. SOLVE for the number of tickets they must sale to reach their goal.

• x ≥ 6.3

• x ≤ 170

• x > 230

• x ≥ 170