2.4 Lesson: Variables on Both Sides

Solving with Variables on Both Sides

By Blake Jensen with Credit to McGraw Hill

Match

Match each on to it's INVERSE OPERATION

• Division

• Addition

• Subtraction

• Multiplication

Multiplication

Subtraction

Addition

Division

• Multiplication

• Subtraction

• Addition

• Division

Match

Match what each operation is happening to the variable!

• x + 3

• y - 3

• 3b

• $$\frac{c}{3}$$

addition

Subtraction

Multiplication

Division

• addition

• Subtraction

• Multiplication

• Division

Reorder

In what order do we use inverse operations? 1 is the FIRST thing we have to UNDO

• Addition and Subtraction

• Multiplication and Division

• Exponents

• Parentheses

1

2

3

4

• 1
• 2
• 3
• 4

Variables on both sides

Remember the goal

Getting them on one side: Isolating the variable

Let's try this one write it down and on the next slide, we'll work it out together

2x - 14 = -5x + 7

1) Simplify if possible.
2) Use inverse operations to get all variables on one side.
3) Use inverse operation to isolate a variable

2x - 14 = -5x + 7

Let's work it out

Math Response

Solve this one!

13x = 9x + 8

Type answer here

Correct Answer: x=2

Deg^°

Rad

Math Response

And another one!

14x -21 = 17x

Type answer here

Correct Answer: x=-7

Deg^°

Rad

Simplifying First!

If there are multiple "like terms" combine them!

Let's try one!

5x + 11 - 3x = 8 + 4x - 3

Math Response

Solve the following: Write your answer as
a=


5 + 7a = 6a - 13 - 2a

Type answer here

Correct Answer: a=-6

Deg^°

Rad