Solving Equations with Variables on Both Sides

What is the first step to solve this equations? 3n - 4 = -2 + 2n

• Add 2n to both sides of the equation

• Add 3n to both sides of the equation

• Subtract 2n from both sides of the equation

• Subtract 4 from both sides of the equation

What is the first step to solve this equation? 3x + 6 = 10 + 3x + 4x

• Add 4x to both sides of the equation

• Combine like terms 3x and 4x on the same side of the equation

• Add 3x and 6 to get 9x

• Add 6 and 10 to get 16

What is the next step to solve this equation?

3x + 6 = 10 + 7x

• Add 10 to both sides of the equation

• Add 6 to both sides of the equation

• Subtract 3x from both sides of the equation

• Add 7x to both sides of the equation

In order to solve an equation, we must get variables on side of an equation, and constants on the opposite side.

• True

• False

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Mathematical Equivalence

ON

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)

Solve the equation for the variable

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