Solving Linear Equations with Variables on Both Sides Word Problems

Equations with variables on both sides are best solving using....

• Inverse Operations

• Division

• Multiplication

• Parenthesis

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.

• 1 hour

• 2 hours

• 3 hours

• 4 hours

To solve for any variable, you must _______.

• Get the variable alone on one side

• Distribute the variable to the numbers

• Get everything on the same side

• Ask for help

Tags

CCSS.7.EE.B.4A

When you have two equations and need to find when they are equal, you ______.

• Set them equal to each other and solve for x

• Set them equal to  zero and solve for x

• Add them together and then solve for x

• Subtract them and then solve for x

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• A
• B
• C
• D

Describe what was done in each solving step!

• Distribute

• Step 2

• Combine Like Terms

• Step 3

• Subtract 4x from both sides

• Step 1

• F

• G

• H

• J

Tags

CCSS.7.EE.B.4A

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. How many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?

• 120 miles

• 100 miles

• 110 miles

• 150 miles 

Tags

CCSS.8.EE.C.7B

The square and equilateral triangle below have the same perimeter. Find the value of x. Then, find the perimeter of each shape. Equation:​ (a)   X = ​ (b)   Perimeter: ​ (c)  

• 2

• 36

• 5

• 42

The square and equilateral triangle below have the same perimeter. Find the value of x. Then, find the perimeter of each shape. Equation:​ (a)   X = ​ (b)   Perimeter: ​ (c)  

• 2

• 36

• 5

• 42