Unit 3

Expressions & Equations Interactive Notebook

Created By: Math in Demand

Solving Two-Step Equations

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Math in Demand with

Expressions & Equations (Solving Two-Step Equations)

You have previously learned how to solve one-step equations. Now, you will be solving two-step equations. The whole goal is the same:

Solve for the variable.

Let’s look at how we can solve two-step equations by an example:

-4x + 2 = 10

Glue Here

Now, we can use the same steps anytime we have a coefficient that is a fraction.

- 2

3 x - 2 = 4 Step Step

I can ___________________

_______________________

©2017 Math in Demand

- 2

3x – 2 = 4

-

2

3x = 6

Step 1: Step 2: Isolate the variable by either adding or

subtracting the constant on both

sides of the equation.

Eliminate the coefficient of the variable by

either multiplying or dividing the coefficient on both sides of the

equation.

Fold on solid lines. Glue this side down. Also,

you want to place some glue underneath the

operation signs.

Directions: Cut out the following figure on the dotted lines. Glue the figure on the area that says “Glue Here”. Make sure to NOT glue the flaps that say “Step

1” and “Step 2”.

©2017 Math in Demand

Expressions & Equations (Solving Two-Step Equations)

Reflection: I learned…

1.) 9x – 21 = 60

2.) -2x + 5 = 18

3.) - 𝑥

4 + 2 = 10

On a rating of 1-5, how comfortable are you with this concept?

(5 is the highest)

1 2 3 4 5

©2017 Math in Demand

Expressions & Equations (Solving Two-Step Equations)

You have previously learned how to solve one-step equations. Now, you will be solving two-step equations. The whole goal is the same:

Solve for the variable.

Let’s look at how we can solve two-step equations by an example:

-4x + 2 = 10

Glue Here

Now, we can use the same steps anytime we have a coefficient that is a fraction.

- 2

3 x - 2 = 4 Step Step

I can ___________________

_______________________

©2017 Math in Demand

solve two-step equations

with one variable.

- 2

3x – 2 = 4

+2 +2

- 2

3x = 6

(- 3

2)(-

2

3x) = (6)(-

3

2)

x = -9

Step 1: Step 2: Isolate the variable by either adding or

subtracting the constant on both

sides of the equation.

Eliminate the coefficient of the variable by

either multiplying or dividing the coefficient on both sides of the

equation.

Fold on solid lines. Glue this side down. Also,

you want to place some glue underneath the

operation signs.

Directions: Cut out the following figure on the dotted lines. Glue the figure on the area that says “Glue Here”. Make sure to NOT glue the flaps that say “Step

1” and “Step 2”.

©2017 Math in Demand

STEP 1: -4x + 2 = 10 -2 -2 -4x = 8

STEP 2: -4x = 8 -4 -4

x = -2

You want the variable by itself with no

other term on the same side

of the equation.

If the coefficient is a fraction, then

you can multiply both sides by the reciprocal.

Expressions & Equations (Solving Two-Step Equations)

Reflection: I learned…

1.) 9x – 21 = 60 +21 +21 9x = 81 9 9

2.) -2x + 5 = 18 - 5 - 5 -2x = 13 -2 -2

3.) - 𝑥

4 + 2 = 10

- 2 - 2

- 𝑥

4 = 8

On a rating of 1-5, how comfortable are you with this concept?

(5 is the highest)

1 2 3 4 5

©2017 Math in Demand

(-4)(- 𝑥

4) = (8)(-4)

x = -32

x = - 13

2 OR -6.5

x = 9

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