Standard Form Word Problems

In a recent basketball game, Fabian made 3-point baskets and 2-point baskets for 42 points. Let x represent the number of 3 point baskets. Let y represent the number of 2 point baskets. The equation is (a)  

• 3x + 2y = 42
• 2x + y = 42
• 3x + y = 42
• 2x + 3y = 42
• x + y = 42

Tags

CCSS.HSA.CED.A.3

The art club is going on a field trip to visit a museum. They will take vans, which can hold 9 people each, and cars, which can hold 5 people each. They will be taking 135 people altogether. Let x represent the number of vans. Let y represent the number of cars. Choose one option for each blank section.

• 5x + 9y = 135

• 14(x + y) = 135

• 9x + 5y = 135

• x + y = 135

The band is selling bags of cookies as a fundraiser. They will sell chocolate mint cookies for $2 a box and oatmeal raisin cookies for $3 a box. After 1 day they had sold $144 worth of cookies. Let x represent the number of boxes of chocolate mint cookies. Let y represent the number of boxes of oatmeal raisin cookies. Choose the correct equation.

• 2x - 3y = 144

• 3x + 2y = 144

• 2x + 3y = 144

Tags

CCSS.8.EE.C.8C

The drama club is selling tickets to their spring play. Adult tickets are being sold for $6 each, and student tickets are being sold for $3 each. Carly has sold $60 worth of tickets. Let x represent the number of adult tickets. Let y represent the number of student tickets. Choose the correct equation.

• 6x + 3y = 60

• 3x + 6y = 60

• x + 6y = 10

Tags

CCSS.8.EE.C.8C

Jennifer is buying books for a daycare class. The paperback books cost $4 each, and hardback books cost $9 each. She only has $144 to spend. Let x represent the number of paperback books. Let y represent the number of hardback books. Choose the correct equation.

• 36x + 16y = 144

• 4x + 9y = 144

• 9x + 4y = 144

Bryan is having a party and is buying snacks. He buys bags of chips for $4 each and 3-liter sodas for $2 each. He spends exactly $60. Let x represent the number of chips. Let y represent the number of sodas. Choose one option for each blank section.

• 4x + 3y = 60

• 2x + 4y = 60

• 4x + 2y = 60

Tags

CCSS.HSA.CED.A.3

Kara's daycare is purchasing supplies. They are buying markers for $3 a box and crayons for $2 a box. They spend $120. Let x represent the number of markers. Let y represent the number of crayons. The equation representing this situation is (a)  

• 2x + 3y = 120
• 3x + 2y = 120
• 40x + 60y = 120

Tags

CCSS.8.EE.C.8C

Vince's Variety Store is purchasing DVDs and CDs to add to their inventory. They can buy DVDs for $12 and CDs for $9 each. They plan to spend $360. Let x represent the number of DVDs. Let y represent the number of CDs. Choose one option for each blank section.

• 12x + 9y = 360

• 9x + 12y = 360

• 30x + 40y = 360

• 15x + 10y = 360

Steve is selling candy bars, x, and popcorn can, y. He needs to raise $300.

Match the fundraising equations with their correct representations.

• Equation for selling 5 candy bars and 2 popcorn cans

• 2x + 5y = 300

• Equation for selling 2 candy bars and 5 popcorn cans

• 15x + 6y = 300

• Equation for selling 15candy bars and 6 popcorn cans

• 5x + 2y = 300

Tags

CCSS.HSA.CED.A.3