Representing Equations in a Story Problem

Please solve this equation Melanie and Julian have 50 dinosaurs in total. Julian has 21 dinosaurs. How many dinosaurs does Melanie have?

• g = 29

• g = 71

• g = 1050

• None of these match my answer

Select all equations that are represented in this diagram.

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Select all equations that match this tape diagram.

Select all equations that match this tape diagram.

Charley charges $15 per hour and $5 for gas when he does lawn work. Jesse charges $10 per hour and $15 for gas. Write an equation that can be used to find x, the number of hours it will take for Charley to earn the same as Jesse.

Mathematical Equivalence

ON

Sonya has $40 in her lunch account and pays $2 each day to eat lunch. Which equation can be used to find the amount of money Sonya has left on her account after x days?

• y = 40 + 2x

• y = - 2x + 40

• y = 2 + 40x

• y = 2 - 40x

A holiday meal costs $12.50 a person plus a delivery fee of $30.  Which equation represents the amount a holiday meal costs, including delivery, for x people?

• y = 30 + 12.5x 

• y = 12.5 + 30

• y = 12.5 + 30x

A couple of baseball companies paint the baseballs for the Major League baseball teams. Company A paints 30 baseballs per minute and then Company B paints 20 baseballs per minute. Company A started the day with 750 baseballs and Company B started the day with 1212 baseballs.

Write an equation that could be used to determine when Company A and Company B will have the same number of baseballs after m minutes.

Talk time Phone Company charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for its phone service.  Which equation below can be used to find c, the total cost for one month when m, minutes are used?

• c = 0.12m + 8m

• c = 8m + 0.12m

• c = 0.12m + 8

• c = 0.20m

Paul the plumber charges $25 for a service call.  He then charges $100 an hour.  

Write a linear equation to model the total cost of hiring Paul the plumber.

Mathematical Equivalence

ON