Solve each equation. Show your work and check the solution.

1.

2. h – 2 = 23

3. –6x = – 42

4. 6 = 8 + y

34

p

Rules

Step 1) Add or Subtract Step 2) Multiply or Divide

Notice when we’re undoing, we work backwards for PEMDAS

We also do the opposite when undoing.◦ If Homey says add, we want to subtract◦ If Homey says times, we divide.

Solve the equation for the variable. Check the solution.

Subtract 2 from both sides. Multiply each side by 7.

Check the solution.

627

x

2 2

87

x

)7( )7(

56x

66

627

)56(

?

628 ?

Solve the equation for x. Check the solution.

12 – 5x = 2

Rewrite the equation by adding the opposite. 12 + (– 5x) = 2

Subtract 12 from both sides. – 12 – 12 – 5x = –10 Divide each side by (–5). – 5 – 5 x = 2 Check the solution. 12 – 5(2) 2≟ 12 – 10 2≟ 2 = 2

Sample Problems

2N + 3 = 112N – 3 = 11

1132

N

1132

N

Solve each equation. Show your work and check the solution.

1. 2x – 8 = 12

2. –5 = + 1

3. 6m + 4 = 16

4. –8 + = 2

3

y

6

b

What do you think are the most common errors students make when solving a two-step equation? Why do you think this is?