Solving for a Variable on Both Sides

The goal of solving a one, two, or multi-step equations is to:

• Find the constant

• Find the coefficient

• Find the value of the variable

• Be confused

What is the first step to solve this equation:

• Add 3 to both sides

• Subtract 11 from both sides

• Add 11 to both sides

• Divide 3 on both sides.

7w + 5 = 3w - 15

• w = 5

• w = -2

• w = 2

• w = -5

Solve the equation:
7x - 4 = 3 + 8x

• x = 7

• x = -7

• x = 2/7

• x = 11

3x + 10 + 2x = 2 (x + 8)

5x + 10 = 2x + 16

What is the next step? Drag the correct part under the equation. Be sure to put the one labeled left on the left.

d

a

-2x (left side)

-2x (right side)

/2x (right side)

/2x (left side)

Mathematical Equivalence

ON

Mathematical Equivalence

ON

You rewrote the equation after multiplying the LCD 4 to equal 2x - 20 = 3x + 12 What is the value of x?

Mathematical Equivalence

ON

Mathematical Equivalence

ON

The square and equilateral triangle below have the same perimeter. Find the value of x. Then, find the perimeter of each shape.

Equation:​ (a)  

X = ​ (b)  

Perimeter: ​ (c)  

• 2

• 36

• 5

• 42