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Homework

Unit 4 · Lesson 7: Equations with Variables on
Both Sides

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Objective: I will learn to solve equations with variables on both sides.
Vocabulary Steps:

Collect like terms.

Move variables to one side (additive inverse).

Move integers to one side (additive inverse).

Isolate the variable (multiplicative inverse).

Solve and check.

Example # 1 Example # 2

Directions: Solve for the variable. Use algebra tiles as needed.

3x + 2 = 2x ─ 2

Solution:

Be sure you understand the visual model above.
Remember that 2x – 2 is the same as 2x + (─2)

Step 1: Remove 2 x’s from each side. Keep in mind what
you do to one side, you must do to other. The equation
now shows:

Step 2: Move the integers to one side. Add 2 (─1) tiles to
each side. This will cancel out the left side. The right
side now has 4 (─1) tiles.

Step 3: Solve x=-4

Answer: x= ─ 4

─ 4 – 6x = 2 – 5 x

Solution:

Step 1: Move the variables first. Choose to move the
smaller variable, 5k, by adding it to both sides. The new
equation is ─ 4 ─ x =2

Step 2: Move the integers to the other side. Add 4 to
each side. The new equation is: ─x = 6

Since the x is negative, divide each side by (─1) to make
it positive.
Answer: x = ─ 6

Name: ___

Date: ___

x x x =^ x x

─

x +

+ = ─

─

x =^ ─

─

Homework