Solving Multi-Step Equations

1.2 Solving Multi-Step Equations

I can: explain the steps I used to solve a multi-step equation

Equations and the Balancing Act

●

An equation is a statement that states two expressions are equal
to each other

●

What you do to one side of the equation, You must do to the
other side of the equation.

How to Solve a Multi-Step Equation?

●

A multi-step equation is an equation that contains two or more
operations

●

We simplify both sides of an equation by using inverse
operations

●

Performing the opposite of order of operations to solve an
equation

PEMDAS (Order of Operations)

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

S - Subtraction

A - Addition

D - Division

M - Multiplication

E - Exponents

P - Parentheses

How we
Solve an
Multi-step
Equation

How to solve a multi-step equation

1)

Identify the variable

2)

Remove any subtraction or addition in the equation

3)

Remove any multiplication of division in the equation

Example 1: Solve the Following Multi-Step Equation

1) 2.5y - 13 = 2

+ 13 + 13

2.5y = 15

2.5 2.5

y = 6

​Add 13 to both sides of the Equation

​Divide both sides of the equation by 2.5

​Take a picture of this slide

●

○

Example 2: Solve the Equation by Combining Like Terms

2) -6d - 9d + 15 = 60

d = - 3

-15d + 15 = 60

- 15 - 15

-15d = 45

-15 - 15

​Take a picture of this slide

Multiple Choice

Solve the following multi-step equation

$$2n-4=8$$

• n=6

• n=2

• n=24

• n=10

Multiple Choice

Solve the following multi-step equation

$$7v+4=25$$

• v=11

• v=15

• v=3

• v=4

Multiple Choice

Solve the following multi-step equation

$$-p+12=11$$

• p=-23

• p=1

• p=-1

• p=0

Multiple Choice

Solve the following multi-step equation

$$\frac{h}{2}+7=10$$

• h=1.5

• h=34

• h=3

• h=6

Multiple Choice

Solve the following multi-step equation

$$\frac{z}{4}-3=5$$

• z=32

• z=8

• z=-8

• z=16

Multiple Choice

Solve the following multi-step equation

$$4n-2n=8$$

• n=5

• n=4

• n=-4

• n=3

Multiple Choice

Solve the following multi-step equation

$$Q+10+13=50$$

• Q=6

• Q=10

• Q=27

• Q=73

Multiple Choice

Solve the following multi-step equation

$$3x+6x-15=12$$

• X = 9

• X=3

• X= -1/3

• X = 27

Multiple Choice

Solve the following Multi-Step Equation

$$5m+6+5=26$$

• M = 37

• M = 15

• M = 7

• M = 3

Multiple Choice

Solve the following multi-step equation

$$6f-16=20$$

• f = 6

• f = 1

• f = 36

• f = 4

Multiple Choice

Solve the following Multi-Step equation

$$\frac{A}{3}+8=14$$

• A = 2

• A = 66

• A = 18

• A = 33