Two Step Equation Problems

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

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:

2x + 7 = 9

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!

Jackie bought 2 pairs of ballet shoes and a tutu from Dance Works. She remembered that tutu was $38 and that the total cost was $148. Which equation can be used to find b, the cost of each pair of ballet shoes?

• 148 = 2b + 38

• 148 = 2b + 55

• 148 = 38 + b

• 148 = 38b

• m=3

• m=-4

• m=-1

• All real numbers

• x=3

• x=2

• x=-2

• x=1

How would you solve each equation?

• multiply both sides of = by 4

• 4x=12

• divide both sides of = by 4

• x+4=12

• subtract 4 from both sides of =

• x-4=12

• add 4 to both sides of =

Solve the two step equation above.

(type your whole solution with the variable and the equal sign)

Mathematical Equivalence

ON

Solve the two step equation above.

(type your whole solution with the variable and the equal sign)

Mathematical Equivalence

ON

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