Inequalities Word Problems' Practice

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

Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?

• 20x + 120 ≥ 3
• x/3 + 20 ≤ 120
• 3x + 20 ≤ 120
• 3x + 20 ≥ 120

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. 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

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

A willow tree is 5.1 feet tall and grows at a rate of 2.5 feet a year. After how many years will the tree have reached no more than 60 feet tall?

• 5.1 + 2.5y ≥ 60
• 60 < 5.1 + 2.5
• 5.1 + 2.5y ≤ 60
• 5.1 + 2.5y > 60

Tags

CCSS.7.EE.B.4B

Carolyn bought a dress that cost $45 and several pairs of pants, p, that were $9.99 each.  Michelle bought a jacket for $30 and pants that cost $11.50 each.  How many pairs of pants would the girls have to buy for Michelle’s total to exceed Carolyn’s total?

• 45 + 30 > 9.99p + 11.50p 
• 45p + 9.99 > 30p + 11.50
• 45 + 9.99p < 30 + 11.50p
• 45 + 9.99p > 30 + 11.50p

Tags

CCSS.7.EE.B.4B

Which point below is NOT part of the solution set?

• (0, 0)
• (5, 1)
• (-1, -3)
• (20, -5)

Tags

CCSS.HSA.REI.D.12

Which of the following equations match the given graph?

• y ≤ -3/4 x + 3
• y ≥ -3/4 x + 3
• y < -3/4 x + 3
• y > -3/4 x + 3

Tags

CCSS.HSA.REI.D.12

Which of the following equations match the given graph?

• y ≥ -3x + 4
• y ≤ 3/5x - 5
• y > -x - 5
• y < -4

Tags

CCSS.HSA.REI.D.12

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Tags

CCSS.HSA.REI.D.12