Solving Multi-Step Equations

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 to solve the equation 3x + 6 = 10 + 7x?

Back

Subtract 7x from both sides of the equation.

Front

What is the goal of solving equations?

Back

To find the value of the variable.

Front

What is the next step to solve the equation n - 4 = -2?

Back

Add 4 to both sides of the equation.

Front

What is the next step to solve the equation 5k + 6 = -9?

Back

Subtract 6 from both sides of the equation.

Front

What does it mean to isolate a variable?

Back

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

Front

What is the distributive property?

Back

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

Front

How do you combine like terms?

Back

By adding or subtracting coefficients of the same variable.

Front

What is the solution to the equation 5x - 14 = 8x + 4?

Back

-6.

Front

What is the purpose of checking your solution?

Back

To verify that the solution satisfies the original equation.