Multiple Step Equations with Variables on Both Sides

Front

Isolating the variable term: Solve for x in the equation 4x + 7 = 2x + 15

Back

x = 4

Front

Solving for the variable: Solve for y in the equation 3(2y + 4) = 5y - 7

Back

y = -11

Front

Solving equations with variables on both sides: Solve for y in the equation 2y - 8 = 3y + 4

Back

y = -12

Front

Combining like terms: Simplify the expression 3x + 2y - 5x + 4y

Back

-2x + 6y

Front

Using the distributive property: Expand and simplify the expression 5(2y - 3)

Back

10y - 15

Front

Definition of a variable: A symbol used to represent an unknown value in an equation.

Back

Variables are often represented by letters such as x, y, or z.

Front

Definition of an equation: A mathematical statement that asserts the equality of two expressions.

Back

Equations often contain variables and constants.

Front

Combining like terms: What does it mean?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

Distributive property: What is it?

Back

The distributive property states that a(b + c) = ab + ac.

Front

Steps to solve a multi-step equation: List the steps.

Back

1. Simplify both sides if necessary. 2. Move variable terms to one side. 3. Isolate the variable. 4. Solve for the variable.