Solving 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. Move all variable terms to one side of the equation. 2. Move constant terms to the other side. 3. Combine like terms. 4. Isolate the variable.

Front

Solve: 14x + 16 = 13x - 42

Back

x = -58

Front

Solve: -3x + 20 = 2x - 40

Back

x = 12

Front

Solve: -4x + 1 = 6x + 71

Back

x = -7

Front

Solve: 4x - 3 = 6x - 19

Back

x = 8

Front

What is a constant in an equation?

Back

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

Front

What is a variable in an equation?

Back

A variable is a symbol (often x or y) that represents an unknown value.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side by itself.

Front

What is the first step in solving the equation 2x + 5 = 3x - 4?

Back

Subtract 2x from both sides to get 5 = x - 4.