Two Step Inequalities Word Problem

Hogan has saved $2,765 for a trip to Korea. The trip will cost at least $5,245. Which inequality shows how much more money (m) Hogan needs to save for his trip to Korea?

• 5,245 > m + 2,765

• m > 5,245 + 2,765

• 2,765 > 5,245 + m

• 2,765 + m > 5,245

Debbie has at most $60 to spend on the clothes. She wants to buy a pair of jeans for $22 and spend the rest on t-shirts. Each t-shirt cost $8. Write an inequality that could be used to find x, the number of t-shirts Debbie can buy.

• 60≥22x-8

• 22-8x≥60

• 22x+8≤60

• 22+8x≤60

Tags

CCSS.7.EE.B.4B

Juan bought a soda for $2. He also bought some nachos for $3 each. Juan did not spend more than $14 on the nachos and the soda. Write an inequality can be used to find n, the number of nachos that Juan could have bought.

• 14≥2n+3

• 2+3n≤14

• 14-3n≤2

Tags

CCSS.7.EE.B.4B

The members of Carver Middle School's Junior Beta Club 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 vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it take for Casey's dog to reach 70 lbs?

• 106 - 4x ≤ 70

• 70 + 4x ≤ 106

• 4x - 106 ≥ 70

• 106 - 4x< 70

Tags

CCSS.7.EE.B.4B

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

• 15h ≤ 105

• 15h > 105

• 15h < 105

• 15h ≥ 105

Tags

CCSS.6.EE.B.8

The speed limit is 45. Katie was going thirty miles per hour and sped up some. Which inequality represents the amount she could speed up and not be speeding? 

• 30 + s ≥ 45

• 30 - s ≥ 45

• 30 + s ≤ 45

• 30 - s ≤ 45

Tags

CCSS.7.EE.B.4B

Todd caught at least three times as many fish this year than last year. He caught 63 fish this year. Which inequality represents how many fish he caught last year?

• 3y > 63

• 3y < 63

• 3y ≤ 63

• 3y ≥ 63

Tags

CCSS.6.EE.B.8

The temperature in the ice rink must stay below 50°F. This morning, the temperature was 71°F. The ice rink runs a cooling device that can decrease the temperature by 3.5° every hour. Which inequality shows how long it will take for the temperature to fall below 50°F?

• 50 + 3.5x < 71

• 71 - 3.5x < 50

• 71 - 3.5x ≤ 50

• 71 + 3.5x < 50

There were no more than 7 players left over after 127 soccer players in a league were divided into 5 teams with b players on each team. Write an inequality that can be used to find b, the number of players on each soccer team.

• 127⁄5b≥ 7

• 127+5b≤ 7

• 7 ≥ 127-5b

• 7 ≥ 127+5⁄b