Equations - Multi Step with Variables on Both Sides 1

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 on both the left and right sides, requiring manipulation to isolate the variable.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to move all terms containing 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 x: x - 4 = 6x + 26

Back

x = -6

Front

Solve for x: 5 - 4x = 2x - 25

Back

x = 5

Front

Solve for x: 3x + 7 = -x - 9

Back

x = -4

Front

Solve for x: 7(-2x + 5) = -3(4x - 5)

Back

x = 10

Front

What is the first step in solving the equation 5 - 4x = 2x - 25?

Back

Combine like terms by adding 4x to both sides.

Front

What is the solution to the equation -2(4x + 5) + 6(x - 3) = -36?

Back

x = 4