Solving Equations with Variables on Both Sides

Select the situation that could be modeled by: 120 + 25x = 45x.

• John bought a car radio for $120 and speakers for $25 each. Joe bought a radio for $45. They each paid the same. How much did they spend?

• George charges a flat fee of $120 to mow a lawn plus $25 an hour. Greg charges $45 a hour to mow a lawn. After how many hours do they make the same amount?

• Lisa pays $120 for each purse she buys plus an additional $25 to have them personalized. Lauren pays $45 for each purse she buys. How many purses must they buy for the amount they spent to be the same?

What is the first step you should take to solve this problem?

• subtract 8n to both sides

• multiply 6n to both sides

• combine the like terms 4n + -6n

The goal when solving an equation is to....

• isolate the variable.

• check the solution.

• guess and check.

• Combine Like Terms.

What is the first step you should take to solve this problem?

-3(x - 2) = -8 +9b

• add 8 to both sides

• subtract 9b from both sides

• Distribute -3 to the x and -2

• add 2 to both sides

Mathematical Equivalence

ON

Mathematical Equivalence

ON

3x + 10 + 2x = 2 (x + 8)

5x + 10 = 2x + 16

What is the next step? Drag the correct part under the equation. Be sure to put the one labeled left on the left.

d

a

-2x (left side)

-2x (right side)

/2x (left side)

/2x (right side)

• 1/2

• 4

• 3

• 1

Describe what was done in each solving step!

• Subtract 4x from both sides

• Step 3

• Distribute

• Step 2

• Combine Like Terms

• Step 1

Mathematical Equivalence

OFF