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 and isolate the variable.

Front

Solve for p: 14p - 8 = 22 + 20p

Back

p = -5

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6

Front

Solve for c: 2c - 12 = 9c + 2

Back

c = -2

Front

What does it mean to isolate a variable?

Back

To manipulate an equation so that the variable is alone on one side of the equation.

Front

What is the first step in solving 150 + 24x = 180 + 20x?

Back

Subtract 20x from both sides to start isolating x.

Front

What is the solution to the equation 150 + 24x = 180 + 20x?

Back

x = 7.5 (after solving the equation).

Front

What is a constant in an equation?

Back

A fixed value that does not change, such as numbers like 150 or 180.

Front

What is a variable in an equation?

Back

A symbol (like x or p) that represents an unknown value.