multistep equations

Front

What is a multistep equation?

Back

A multistep 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

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, allowing you to multiply a single term by each term inside a parenthesis.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation 5x - 4 + 2x = 3?

Back

The first step is to combine like terms on the left side, resulting in 7x - 4 = 3.

Front

What is the solution to the equation -2x - 7 + 3x = 10?

Back

The solution is x = 17.

Front

How do you solve the equation 4 = 2(x + 3)?

Back

First, use the distributive property to get 4 = 2x + 6, then isolate x to find x = -1.

Front

What is the solution to the equation -7 - 7x + x = -13?

Back

The solution is x = 1.

Front

How do you solve the equation 2x - 3 + 4x = 27?

Back

Combine like terms to get 6x - 3 = 27, then isolate x to find x = 5.

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting the value back into the original equation to verify that both sides are equal.