Solving Multi-Step Equations with Variables on Both Sides

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving combining like terms, using the distributive property, and isolating the variable.

Front

What does it mean to have variables on both sides of an equation?

Back

Having variables on both sides of an equation means that the variable appears in more than one location, requiring manipulation to isolate the variable on one side.

Front

How do you isolate a variable in a multi-step equation?

Back

To isolate a variable, perform inverse operations to move terms involving the variable to one side of the equation and constant terms to the other side.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

Solve for n: n + 1 - 3n = 9 - n

Back

n = -8

Front

Solve for a: -(1 - 3a) - 5 = 8a + 9

Back

a = -3

Front

Solve for n: 4n - 2 = -2 + 8n

Back

n = 0

Front

Solve for p: 4 - 5p = 5(6 + p) + 3p

Back

p = -2

Front

Solve for n: 7(3n + 8) = 7(2n + 6)

Back

n = -2

Front

What is combining like terms?

Back

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