Solve Equation in Context

Jim works at a local restaurant. He earns $8 an hour, plus tips. If Jim earned $350 last week, which included $270 in tips, how many hours did he work?

• 8/h + 270 = 350

• 350 = 270 + 8 + h

• 350 = 270 + 8h

• 350 -270 = h

Amy had $26 dollars to spend on school supplies. After buying 10 pens at the same price, she had $14.30 left. Write an equation to determine how much each pen cost.

• 14.30/p + 10 = 26

• 26/p = 24.30

• 10p - 14.30 = 26

• 14.30 + 10p = 26

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven.  What is an equation that can be used to find the number of miles, m, a vehicle was driven, if the total rental charge was $222.50?

• 222.5 = m(35 + 0.75)

• 222.5 = 35 + 0.75m

• 222.5 = 0.75 + 35m

• 222.5 = 0.75(m + 35)

Lance is buying new things for his room. He wants some posters and a new rug. He spent $44.50 total. If the rug costs $27 and the posters cost $2.50 each, how many did he buy?

• 44.5 = 2.5x - 27

• 44.5 - 2.5 = 27x

• 27x + 2.5 = 44.5

• 2.5x + 27 = 44.5

Please solve this equation

1.2x = 9.6

• x = 8

• x = 10.8

• x = 8.4

• None of these match my answer

Please solve this equation

7x = 84

• x = 77

• x = 91

• x = 588

• None of these match my answer

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

Erica works in a soda-bottling factory.  As bottles pass her on a conveyer belt, she puts caps on them.  Unfortunately, Erica sometimes breaks a bottle before she can cap it.  She gets paid 4 cents for each bottle she successfully caps, but her boss deducts 2 cents from her pay for each bottle she breaks.
Erica is having a bad morning.  Fifteen bottles have come her way, but she has been breaking some and has only earned 6 cents so far today. 
Which system of equations would help you determine how many bottles Erica capped and how many she broke?

What should be your first step to solve the following system of equations using the Elimination Method?

• Add the equations together to eliminate the x's

• Multiply the top equation by 3, so you can eliminate the y's

• Multiply the bottom equation by 2, so you can eliminate the x's

• Set the two equations equal to each other