Equations with Variables on Both Sides

Front

What is an equation with variables on both sides?

Back

An equation that contains variables on both the left and right sides, requiring manipulation to isolate the variable.

Front

How do you solve an equation with variables on both sides?

Back

1. Simplify both sides of the equation. 2. Move all variable terms to one side and constant terms to the other. 3. Isolate the variable.

Front

Solve for x: 4x - 5x + 9 = 5x - 9

Back

x = 3

Front

Solve for y: 5y + 34 = -2(-7y + 1)

Back

y = 4

Front

Solve for x: 2(4x - 3) - 8 = 4 + 2x

Back

x = 3

Front

Solve for x: 4(1 - x) + 3x = -2(x + 1)

Back

x = -6

Front

Solve for w: 7w + 5 = 3w - 15

Back

w = -5

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is alone on one side, making it easier to solve.

Front

What is the first step in solving the equation 3x + 4 = 10?

Back

Subtract 4 from both sides to isolate the term with the variable.

Front

What is a constant in an equation?

Back

A fixed value that does not change, represented by a number.