Writing Inequalities from Word Problems

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 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

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

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

At the end of the day, vegetables at the farmer’s market sells for $3.00 a pound, and a basket costs $5.50. If Carol wants to buy a basket and spend no more than $10.00 total, how many pounds of vegetables can she buy?

• 3 + 5.5p < 10

• 10 = 5.5 - 3p

• 5.5 + 3p < 10

• 3p + 5.5 ≤ 10

Tags

CCSS.7.EE.B.4B

The sum of a number and 5 is less than 10.

• x + 5 > 10
• x + 5 <10 
• x - 5 < 10 
• x - 5 > 10

Tags

CCSS.7.EE.B.4B

Haylie needs to cut 14 in pieces of wood from a 20 foot board. Write an inequality to describe how many 14 in pieces she can cut from a 20 foot board.

• $14x\le20$

• $14x\ge20$

• $14x\le240$
  

• $14x\ge240$

An elevator can only hold 1500 pounds. If equipment weighs 945 pounds, how much more pounds of supplies can be put on the elevator? Which inequality would represent this situation?  

• x - 945 > 1500
• x + 945 > 1500
• x - 945 ≤ 1500
• x + 945 ≤ 1500

Tags

CCSS.7.EE.B.4B

You must be no more than 62 inches tall to play on the playground. Which inequality represents the heights of kids allowed to play? 

• k ≤ 62
• k > 62
• k < 62
• k ≥ 62

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8

Jada has $6. She goes to the store and buys one bottle of soda for $1.20. Write an inequality to find out how any bags of chips she can buy if each bag of chips cost $0.99.

• $0.99x+1.20\le6$

• $0.99x-1.20\le6$

• $0.99+1.20x\ <6$

• $0.99+1.20x>6$