Multiple Step Equations with Variables on Both Sides

Front

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

Back

10y - 15

Front

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

Back

y = -11

Front

Isolating the variable term: Solve for y in the equation 5y - 3 = 2y + 9

Back

y = 6

Front

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

Back

x = 4

Front

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

Back

-2x + 6y

Front

Definition of a variable: What is a variable in mathematics?

Back

A symbol used to represent an unknown value.

Front

Definition of an equation: What is an equation?

Back

A mathematical statement that asserts the equality of two expressions.

Front

Definition of like terms: What are like terms?

Back

Terms that have the same variable raised to the same power.

Front

Definition of the distributive property: What is the distributive property?

Back

a(b + c) = ab + ac, distributing a across the terms in parentheses.

Front

Steps to solve a multi-step equation: What are the steps to solve a multi-step equation?

Back

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