multi step equations

Front

What is a multi-step equation?

Back

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

Front

How do you combine like terms in an equation?

Back

To combine like terms, identify terms that have the same variable raised to the same power and add or subtract their coefficients.

Front

What is the distributive property?

Back

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

Front

Solve for x: 11 = 3x + 8x

Back

x = 1

Front

Solve for k: 7k − 1 − 6k = −6

Back

k = -5

Front

Solve for x: 2x - 3 + 4x = 27

Back

x = 5

Front

What is the first step in solving a multi-step equation?

Back

The first step is to simplify both sides of the equation by combining like terms and using the distributive property if necessary.

Front

What does it mean to isolate the variable?

Back

Isolating the variable means to manipulate the equation so that the variable is on one side of the equation and all other terms are on the opposite side.

Front

Solve for v: 8v - 4(v + 8) = 8

Back

v = 10

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming that it is correct.