Inequality and Equations Word Problems

WRITE AN EQUATION
Aliyah had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among her children. Each child received two pieces. With how many pieces did she start?

• (x-10)/4=2

• x-10/4=2

• x-10=2(4)

• 2(x-10)=4

Tags

CCSS.HSA.CED.A.3

Lea needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes. What is the least number of cars she can wash to buy the headphones?

• x ≥ 15

• x ≤ 15

• x > 15

• x < 15

Sam earns a weekly salary of $300. He also earns a commission of 4% on all of his sales. What is the minimum dollar amount of sales he must make to have a total weekly pay of $550? Write the inequality to the problem.

• 0.04x+300 ≥ 550

• 0.04x+300≤ 550

• 4x+300 ≥ 550

• 4x+300 ≤ 550

Tags

CCSS.7.EE.B.4B

Could x = - 5 be a solution to the inequality -6 < 3x + 9 < 21?

• yes

• no 

Tags

CCSS.6.EE.B.5

If 2x+1=5, what is the value of 8x+4 ?

Tags

CCSS.7.EE.B.4A

Josh is hiking Glacier National Park. He has now hiked a total of km17 and is 2 km short of being 1/2 of the way done with his hike. If ℎ is the total length of Josh's hike, which of the following equations best describes the situation?

• 1/2​h−2=17

• 1/2h+2=17

• 2ℎ−2=17

• 2h+2=17

Tags

CCSS.HSA.CED.A.3

Julia has $5.00 to spend on lemons. Lemons cost $0.59 each, and there is no tax on the purchase. Which of the following inequalities can be used to represent x, the number of lemons Julia can buy?

• x/.59≥5

• x/.59≤5

• .59x≥5

• .59x≤5

Tags

CCSS.6.EE.B.8

Dominique is allowed to play up to 8 hours of video games this week. They want to play video games for at least 4 hours this weekend. Which of the following can be used to represent t, the number of hours they can play video games before the weekend?

• 8−t≥4

• 8−t≤4

• t−8≥4

• t−8≤4

Tags

CCSS.7.EE.B.4B

Dorothy is making sausages. If she wants to make at least 24 sausages that weigh 12 ounces each, which of the following best describes x, the total weight of the sausages in ounces?

• x/12≥24

• x/12≤24

• x−12≥24

• x−12≤24

Tags

CCSS.6.EE.B.8

Anton must finish reading a 369-page book in the next 7 days. Which of the following inequalities can be used to represent x, the average number of pages he must read each day to finish the book on or ahead of schedule?

• x/7≥369

• x+7≥369

• 7x≥369

• 7x<369

Tags

CCSS.6.EE.B.8