Solving Multistep Equations

Front

What is a multistep equation?

Back

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

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 two or more terms inside a set of parentheses.

Front

How do you combine like terms?

Back

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

Front

What does it mean to isolate a variable?

Back

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

Front

What is the first step in solving the equation -15 = 5a + 12 - 2a + 6?

Back

The first step is to combine like terms on the right side: 5a - 2a + 12 + 6.

Front

What is the solution to the equation 3y - 5 - 5y = 3?

Back

The solution is y = -4.

Front

How do you check your solution for an equation?

Back

To check your solution, substitute the value back into the original equation to see if both sides are equal.

Front

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

Back

The solution is x = 1.

Front

What is the purpose of distributing in an equation?

Back

Distributing allows you to eliminate parentheses and simplify the equation, making it easier to solve.

Front

What is the correct solution for the equation 96 = 6(k + 8)?

Back

The correct solution is k = 8.