Create Equations With Two Variables From Word Problems

• Winnie bought a family meal with 8 burgers and 4 fries. Wilson bought a family meal with 12 burgers and 3 fries. If they each paid the same amount, how much did they spend?

• Team A runs 8 drills that are 4 minutes each. Team B runs 12 drills that are 3 minutes each. Which team practices longer?

• The basketball team currently has 8 players and is growing by 4 players each month. The volleyball team has 12 players and is growing by 3 players each month. After how many months will they have the same number of players?

• The basketball team currently has 4 players and is growing by 8 players each month. The volleyball team has 3 players and is growing by 12 players each month. After how many months will they have the same number of players?

Joe's Canoes charges an initial fee of $20 plus $4 an hour. Callie's Canoes charges a flat rate of $14 an hour. Choose the equation that would find the number of hours that the total for both places would charge the same.

• 4x + 20 = 14x

• 24x = 14x

• 4x - 20 = 14x

• 20 + 4x = 14

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

• 2 hours

• 3 hours

• 4 hours

• 5 hours

Ms. Cronin has 400 followers on Instagram and is gaining 75 followers each day. Ms. Willis has 1,000 followers on Instagram, but is losing 25 followers a day. After how many days will Ms. Cronin and Ms. Willis have the same number of followers?instaginstinstagram

• 4 days

• 14 days

• 12 days

• 6 days

Shelby has $155 in savings, and her boyfriend George has $230. Shelby is saving $10 each week, and George is spending $15 each week. After how many weeks will Shelby and George have the same amount?

• 3 days

• 25 days

• 5 days

• 7 days

Kimberly takes the bus to work. The bus ride to work costs her $2.50 each time she rides it. She could buy a bus pass for a one-time fee of $15.00 and would then only pay $1.00 each time she rode the bus. Write and solve an equation to show when paying for these two options would cost the same amount.

What could this represent? 7x + 2 = 30

• Buying pet turtles for $7 each plus two cans of turtle food cost $30.

• Seven bags of candy plus 2 extra snickers bars equals 30 dollars.

• Two yoyos plus seven frisbees is thirty cents.

• Buying seven calculators plus $2 per bundle of pencils is $30.

If ChipCo sold their bags of corn chips for $5 per bag plus $1 for bagging it and it costs the same as $4 per bag of CrunchyChips corn chips plus their price of $2 for bagging it, what would the equation be and how many bags of chips would make them cost the same?

• 5 + 1x = 2x + 4; 1 bag of chips

• 9x = 3; 3 bags of chips

• 5x + 1 = 4x + 2; 1 bag of chips

• 5x = 6x; -1 bag of chips

If chocolate chip cookies cost $3.00 per cookie plus $2 for boxing them up in a decorated box, what would the expression be?

• 3 + 2x

• 3x + 2

• 3x + 2x

• 5x

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x

• y=15x+80

• y=x+15

• y=80x+15