Solving 1-Step Equations

• Math
• 7th Grade

Solving Equations

Solving 1- Step

 Equations

11/4/24

Objectives:

-Understand the process to solving 1-Step equations.

- Identify the operation neccessary to solve 1-step equations. 

-Solve 1-step equations.

Addition and Subtraction

If you are moving a positive number to the other side of the equal sign, then you will use subtraction.

If you are moving a negative number to the other side of the equal sign, then you will use addition.

x+2=0

3+x=1

2=x+5

4=1+x

Examples:

Examples:

x−5=0

−2+x=3

−1=−4+x

2=x−6

First, you have to identify which operation you will need to use to get      by itself.

x

Addition and Subtraction

Second, use the identified operation to add or subtract the value to both sides of the equation.

Examples:

x+2=0

−2

−2

x−5=0

+5

+5

2=x+5

4=1+x

3+x=1

−2+x=3

2=x−6

−1=−4+x

−5

−5

−1

−1

−3

−3

+6

+6

+2

+2

+4

+4

Addition and Subtraction

Third, carry out the appropriate operation to solve for    . 

Examples:

x+2=0

−2

−2

x−5=0

+5

+5

2=x+5

4=1+x

3+x=1

−2+x=3

2=x−6

−1=−4+x

−5

−5

−1

−1

−3

−3

+6

+6

+2

+2

+4

+4

x

x=−2

x=3

x=−3

x=−2

x=5

x=5

x=8

x=3

Identify the operation needed to solve for     .

x

Addition

Subtraction

x + 2 = 5

x - 3 = 4

-3 + x = 6

4 + x = 3

2 = x - 3

0 = -5 + x

1 = 4 + x

6 = x + 4

Division and Multiplication

If      is being multiplied by a number, then you will use division.

If      is being divided by a number, then you will use multiplication.

Examples:

Examples:

First, you have to identify which operation you will need to use to get      by itself.

x

x

x

3x=0

−2x=4

1=2x

3=−6x

​2​​x​​=0

​−3​​x​​=2

1=​4​​x​​

2=​−5​​x​​

Division and Multiplication

Examples:

Second, use the identified operation to divide or multiply both sides of the equation by the value.

​3​​3x​​=​3​​0​​

​−2​​−2x​​=​−2​​4​​

​2​​1​​=​2​​2x​​

​−6​​3​​=​−6​​−6x​​

​2​​x​​⋅2=0⋅2

​−3​​x​​⋅−3=2⋅−3

1⋅4=​4​​x​​⋅4

2⋅−5=​−5​​x​​⋅−5

Division and Multiplication

Examples:

Third, carry out the appropriate operation to solve for    .

​3​​3x​​=​3​​0​​

​−2​​−2x​​=​−2​​4​​

​2​​1​​=​2​​2x​​

​−6​​3​​=​−6​​−6x​​

​2​​x​​⋅2=0⋅2

​−3​​x​​⋅−3=2⋅−3

1⋅4=​4​​x​​⋅4

2⋅−5=​−5​​x​​⋅−5

x

x=0

x=−2

x=​2​​1​​

x=−​2​​1​​

x=0

x=4

x=−6

x=−10

Identify the operation needed to solve for     .

x

Division

Multiplication

x/3 = 4

4x = 4

x/2 = -6

-3x = 5

2 = 6x

0 = x/-5

1 = -4x

6 = x/4

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