Solving Equations Multi-Step and Word Problems

A family spent $93 at a carnival. They spent $18 on tickets to the carnival and $36 on food. They spent the rest of the money on games. Which equation can be used to find g, the amount of money in dollars the family spent on games?

• 93=g+36−18

• 93=18+36−g

• 93=36−18−g

• 93=g+36+18

The goal of solving a one, two, or multi-step equations is to:

• Find the constant

• Find the coefficient

• Find the value of the variable

• Guess and check

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

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal?

• 150x + 24 = 180 + 20x

• 150 + 24x = 180 + 20x

• 180 - 150 = 24 x + 20x

• 150 - 24x = 180 - 20x

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 3 hours

• 4 hours

• 1 hour

• 2 hours

Write the equation for the situation below: Two-thirds multiplied by the quantity of a number, x, increased by 6 is -24

Mathematical Equivalence

ON

Mathematical Equivalence

ON

The perimeter of a soccer field at a local park is 260 feet. The length of the field is 36 feet more than the width. If x = width of the soccer field, write an equation to find the dimensions of the soccer field.

Mathematical Equivalence

ON

Mathematical Equivalence

ON

You have a part-time job. You work 4.5 hours on Friday and 6.5 hours on Saturday. You also receive an allowance of $20 from your parents. You earn $193.25 that week. If x = your hourly pay, write an equation to determine how much do you earn per hour at your part-time job?

Mathematical Equivalence

ON