Solving One Step Equations Word Problems

A taxi charge a base fee of $3, plus $1.50 for each mile traveled, x. Mr. Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Lewis live from the airport?

• 30 =1.50x + 3

  x = 18 miles

• 30 = 1.50x - 3

  x = 22 miles

• 30 = 3x + 1.50

  x = 9.5 miles

• 30 = 1.50x + 3

  x = 22 miles

• 30 = 1.50x - 3

  x = 18 miles

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets, x, are $0.50 each.
Write and solve an equation that represents this scenario if she spends $35 in all.

• 35 = 0.50x + 20

  x = 30 ride tickets

• 35 = 0.50x

  x = 30 ride tickets

• 35 = 0.50 + 20x

  x = 1.725 ride tickets

• 35 = 0.50x - 20

  x = 110 ride tickets

• 35 = 0.50x + 20

  x = 110 ride tickets

Scott works on cars. He charges $35 for an appointment fee plus $7 per hour, x. Write and solve an equation that represents this scenario if Scott's car bill was $63.

• 63 = 7x + 35

  x = 4 hours

• 63 = 7x + 35

  x = 14 hours

• 63 = 7x - 35

  x = 14 hours

• 63 = 35x + 7

  x = 1.6 hours

• 63 = 35x + 7

  x = 4 hours

This year, there are a total of 357 students in 6th grade. On Tuesday, sixteen classes had x 6th graders in them. There were a total of 15 students absent that day. This situation can be represented by the equation: 357 = 16x+15 What would be the FIRST step in solving this equation?

• Subtract 15 from both sides of the equation

• Divide by 16 on both sides of the equation

• Add 15 to both sides of the equation

• Multiply by 16 on both sides of the equation

Jill sold one-half of her comic books and then purchased 16 new comic books. She now has a total of 36 comic books. Write an equation that can be used to solve for c, the number of comic books Jill started with.

• c = 36 + 16 

A computer printer can print 10 pages per minute. There were already 35 pages in the tray. It printed a total of 115 pages. Write and solve an equation to represent the number of minutes, m, it took to print.

• 115 = 10m + 35

  m = 8 minutes

• 115 = 10m - 35

  m = 15 minutes

• 10 = 115m + 35

  m = 0.22 minutes

• 115 = 35m + 10

  m = 3 minutes

Last year in 6th grade, a total of 331 students went on a field trip. Six buses were filled and 7 students traveled in cars. Write an equation that can be used to solve for b, the number of students on each bus. Don't forget to use the format y = mx + b!

• 331 = 6b + 7

• 331 = 7b + 6

• 331 = 6b - 7

Solve for x.

-7 + 4x = 37

Be sure to set up the problem on your paper and show ALL work on both sides of the equation! Don't forget to include your check step!

• x=11

• x=7.5

• x=12

• x=23

Solve:

21 = 5 - x

Type the NUMBER ONLY of your answer in the space provided. You do NOT need to include "x=" when you type your answer in the box.

Be sure to set up the problem on your paper and show ALL work on both sides of the equation! Don't forget to include your check step!

Solve:

-10 = 6 - 4x

Type the NUMBER ONLY of your answer in the space provided. You do NOT need to include "x=" when you type your answer in the box.

Be sure to set up the problem on your paper and show ALL work on both sides of the equation! Don't forget to include your check step!