Model and Write Equations and Inequalities

Moe's Gym charges a $15 fee to join and $30 per month.  Big Mike's Gym charges a $30 fee to join and $20 per month.  Which inequality could be used to determine after how many months, m, Big Mike's Gym would be a better deal?

• 15 + 30m > 30 + 20m
• 15m + 30 > 30m + 20
• 15 - 30m < 30 + 20m
• 15m + 30 < 30m + 20

Tags

CCSS.7.EE.B.4B

City Cycle charges $5 per hour to rent a bike, plus a $10 rental fee for the helmet.  Bike Brownsville charges $22 per hour to rent a bike, and a helmet is provided free of charge.  Which inequality could be used to find after how many rental hours, h, Bike Brownsville is a better deal?

• 5h + 10 < 22h
• 5h + 10 < 22 + h
• 5h + 10 > 22h
• 5h + 10 > 22 + h

Tags

CCSS.7.EE.B.4B

Which of the following situations could be modeled by the equation?

• Shelly has a 25% off coupon and a $10 off coupon, but they will save her the same amount on her purchase.  how much is the purchase before either coupon?
• Three fourths of the animals in the zoo were born in captivoty.  Of the animals born in the wild, 4 had babies and 10 died.  How many animals are in the zoo?
• 75% of Americans polled agreed that 4 pets is managable.  All Americans polled disagreed that 10 pets is managable.  How many Americans were polled?
• Three fourths of the student body and four teachers voted to keep the school mascot a penguin.  All of the student body except 10 (and no teachers)voted to change the school colors to teal.  Both selections got the same number of votes.  How many students are in the school?

Tags

CCSS.HSA.CED.A.3

Kendra bought some shirts for $10 on tax-free weekend.  Whitney bought some of the same shirts at a sale later for $8.50 each, but also paid $4.50 in tax.  They bought the same number of shirts for the same amount of money.  Which equation could be used to determine s, the number of shirts each girl bought?

• 10s + 4.50 = 8.50s
• 8.50s + 4.5 = 10s 
• 10 + s = 8.50 + 4.50
• 10s - 4.50 = 8.5 + s

A hounted house sells tickets for $5 each, or VIP passes for $10 which allow you to pay only $1 per ticket.  Which inequality could be used to find how many tickets, t, you would need to buy for the VIP passes to be a better deal?

• 5t < 10t + 1
• 10 + t > 5t
• 5t >10t + 1
• 10 + t < 5t

Tags

CCSS.7.EE.B.4B

Grace received a $25 eMuzic gift card and bought 18 songs.  Jessica received a $15 eMuzic gift card and bought 6 songs.  They each ended up with the same amount left over on their gift cards.  Which equation can be used to determine s, the cost of one song on eMuzic?

• 25 + 18s = 15 + 6s
• 25 + 15 = 18s + 6s
• 25 -18s = 15 - 6s
• 25 - 6s = 15 - 18s

Michael bought a $12.99 CD and 3 packs of gum.  Andie bought a different CD for $8.99 and 6 packs of gum.  Each of them spent the exact same amount .  Which equation could be used to find g, the cost of one pack of gum?

• 12-99 + g = 8.99 + g
• 8.99 + 6g = 12.99 + 3g
• 12.99 + 8.99 = 3g + 6g
• 12.99 + 6g = 8.99 + 3g

Marnie is looking for a company to cater a fundraising event.  Party Time Caterers charges $16 per person. Joe's Cooking charges $12 per person plus a $150 set up fee.  Which inequality could be used to determine how many people, p, must be at the event for Joe's cooking to be a better deal?

• 16p < 12p + 150
• 16p < 150 - 12p
• 16p > 12p + 150
• 16p > 12p + 150

Tags

CCSS.7.EE.B.4B

Which of the following situations could be modeled by the inequality 12.99 + 0.3x < 0.79x?

• Clear Call's pay-as-you-go wireless service charges a $12.99 startup cost and $0.30 per minute used. Cell Plus charges $0.79 per minute used with no startup cost.  For how many minutes is Cell Plus the better plan? 
• Agatha spent $12.99 on a CD and $0.30 on a piece of candy.  Her sister Marsha spent $0.79 on a piece of candy.  Which sister spent more money?
• JoeJoe's Coffeehouse charges $12.99 for a refillable mug and $0.30 to fill the mug with coffee each time.  JoeJoe's also sells disposable mugs of coffee for $0.79 each. How many mugs of coffee would you need to drink for the refillable mug to be a better deal?
• eTunes charges $12.99 per month plus $0.30 per song.  Music Star charges $0.79 per song.  Ho many months would you have to use Music Star to equal the monthly charge of eTunes?

Tags

CCSS.7.EE.B.4B

Which of the following situations could be modeled by the equation 8 + 4x = 12 + 3x?

• Beto bought a family meal with 8 sandwhiches and 4 sodas.  Eddie bought a family meal with 12 sandwhiches and 3 sodas.  They each paid the same amount.  How much did they spend?
• The Chess Club currently has 8 members and is growing at a rate of 4 students per month.  The Theatre Club has 12 students and is growing at a rate of 3 students per month. After how many months will they have the same amount of students?
• Cici bought 8 pairs of shoes and paid $4 in tax. She spent the same as her friend Kari, who bpought 12 pairs of shoes and paid $3 in tax. How much did each pair of shpoes cost?
• The A Street Boys' new album has 8 songs that are 4 minutes each. The Z Street Boys' new album has 12 songs that are 3 minutes each. Which album is longer?