Solving Algebraic Equations

Solving Algebraic Equations

You will learn to solve equations with..

• Variable on 1 sides

• Variables on both sides

• Addition and subtraction

• Multiplication and division

Multiple Choice

What does the word inverse mean?

• opposite

• same

Multiple Choice

What is the inverse of multiplication?

• addition

• subtraction

• multiplication

• division

Multiple Choice

What is the inverse of addition?

• addition

• subtraction

• multiplication

• division

Multiple Choice

What is the inverse of division?

• addition

• subtraction

• multiplication

• division

Multiple Choice

What is the inverse of subtraction?

• addition

• subtraction

• multiplication

• division

Multiple Choice

What is the variable in the equation:

2x + 7 = 8

• 2

• x

• 7

• 8

Multiple Choice

What does the word isolate mean?

• To put together

• To put by itself

• I don't know

Multiple Choice

Solve: x + 1 = 4

x = ?

• 1

• 2

• 3

• 4

Multiple Choice

Solve: 3x = 6

x = ?

• 0

• 2

• 3

• 6

Multiple Choice

Solve: 4x + 1 = 9

x = ?

• 0

• 2

• 3

• 6

Multiple Choice

 $\frac{x}{7}=\ 5$ 

x = ?

• 0

• 2

• 30

• 35

Solving algebraic equations is a lot like sorting money

How would you sort these coins?

Solving algebraic equations is a lot like sorting money

How would you sort these coins?

Would you start with the easy ones at the top or the hard ones at the bottom?

It's the same with equations

• The goal is to put the x by itself on one side of the equal sign

• When we do that, we SOLVED the problem.

How to isolate the variable

• Find where the x is. (There may be multiple)

• Use inverse operations to move items from one side of the equal sign to the next

2x + 9 = 11

3x + x - 2 = 18

 $\frac{x}{5}=15$  

 $\frac{x}{3}=\left(1+x\right)$  

Multiple Choice

Solve for x:

• x = 20
• x = 7
• x = 10
• x = 3

Multiple Choice

x / 7  + 14 = 22

• x = -56
• x = 56
• x = -9
• x = 9

Multiple Choice

1 + 7x + 6x = 53

• 3
• 4
• 5
• 6

Multiple Choice

45 = 4x + x + 10

• 4
• 5
• 6
• 7

Multiple Choice

20 = 8x - 12

• 2

• 3

• 4

• 5

Multiple Choice

20 = 8x - 12

• 2
• 3
• 4
• 5