Equations from Word Problems

Julius is selling raffle tickets for $2.50 each. The prizes to be awarded cost $2,260. Which equation represents the number of raffle tickets, x, that must be sold in order to pay for the prizes?A BC

• 2.50x = 2,260
• x + 2.50 = 2,260
• 2.50 = 2,260x

Tags

CCSS.HSA.CED.A.3

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents the number of hours (h) of lessons Kasey took if the total cost was $39.

• 11 + 6h = 39

• 11h - 6 = 39

• 11h + 6 = 39

• 66h = 39

Tags

CCSS.HSA.CED.A.3

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents the number of tickets (t) that can be purchased if Penelope plans to spend $35.

• .50t + 20 = 35

• .50t = 35

• .50 + 20t = 35

• .50t +35 = 20

Tags

CCSS.HSA.CED.A.3

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

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on the taxi ride.

• 1.75 + 0.65m < 10

• 1.75 + 0.65m > 10

• 1.75m + 0.65 < 10

• 1.75m + 0.65 > 10

Tags

CCSS.7.EE.B.4B

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

A bag of candy was shared equally among 4 friends. Each friend gave away 7 pieces of candy. They each ended up with 8 pieces of candy. Write an equation to find how much candy was in the bag at the beginning.

• c/7 - 4 = 8

• c/4 + 7 = 8

• 4/c - 7 = 8

• c/4 - 7 = 8

Tags

CCSS.HSA.CED.A.3

The booster club needs to raise at least $7,000 for new football uniforms. So far, they have raised $1,250. Write an inequality to find the average amounts each of the 92 members can raise to meet the club’s objective. 

• 1,250 + 92x > 7,000
• 1,250 + 92x ≥ 7,000
• 1,250 + 92x ≤ 7,000
• 1,250 + 92x < 7,000

Tags

CCSS.7.EE.B.4B

Your little sister has 8 pages of stickers and 16 extra stickers.  All together, she has 96 stickers.  How many stickers are on each page of stickers?

• 8 + 16 = 96
• 8x + 16 = 96
• 8 + 16x = 96
• 8x + 16x = 96

Tags

CCSS.HSA.CED.A.3