Solving Multi-Step Equations (Variables on one side)

Front

What is a multi-step equation?

Back

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 is the first step in solving the equation 4x + 10 = -26?

Back

Subtract 10 from both sides to isolate the term with the variable.

Front

Solve for x: 4x + 10 = -26

Back

x = -9

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the goal of solving equations?

Back

To find the value of the variable that makes the equation true.

Front

Solve for n: 137 = 5(1 - 8n) - 4n

Back

n = -3

Front

What is the distributive property?

Back

A property that states a(b + c) = ab + ac, used to eliminate parentheses in equations.

Front

What is the first step to solve the equation -11 - 3x = 44 - 2x?

Back

Get the variables on one side by adding 3x to both sides.

Front

Solve for x: 1 - 8x + 7 = 24

Back

x = -2

Front

What does it mean to combine like terms?

Back

To simplify an expression by adding or subtracting terms that have the same variable raised to the same power.