Solving multi-step problems using linear equations in one variable

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?

After you have identified the equation , solve it on your HW paper.

• 44.5 = 2.5x - 27

• 44.5 - 2.5 = 27x

• 27x + 2.5 = 44.5

• 2.5x + 27 = 44.5

Samuel took a taxi from his home to the airport. The taxi charges $3 as a base fare, plus $1.50 for each mile traveled. Samuel was charged $30 for the ride. How many miles does Samuel live from the airport?

• 18 miles

• 20 miles

• 22 miles

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. After how many months will the total cost be $58?

• 7 months

• 6 months

• 5 months

• 4 months

Peter and his friends are going to play putt-putt. At one location, they can pay $2.00 for rentals plus $7.50 per game. At another location, it would cost $8.00 for rentals plus $6.00 per game. How many games would they have to play in order for either location to cost the same amount? Write and solve an equation to find the solution.

• 2 games

• 3 games

• 4 games

• 5 games

• z=-16

• z=4

• z=16

• z=-4

Solve the equation: 1.8x + 2.2 = 5.6

• 1.9

• 2.5

• 1.5

• 2

Solve for y.

-15 = -4y + 5

The fifth grade had a wrapping paper fundraiser for camp. They sold 145 packages of solid paper and 175 packages of patterned paper. Each package of paper cost $14. What was the total amount paid for both types of wrapping paper?

• $4,480
• $334
• $2,030
• $2,205

• 3

• 4

• 1

• 5