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 performing inverse operations.

Front

How do you combine like terms in an expression?

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 parentheses.

Front

What is the first step in solving the equation 6x + 3x + 20 = 101?

Back

The first step is to combine like terms, which gives you 9x + 20 = 101.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable by itself on one side of the equation.

Front

What is the solution to the equation 6a + 5a = -11?

Back

The solution is a = -1 after combining like terms to get 11a = -11 and then dividing both sides by 11.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and eliminating unnecessary parentheses.

Front

What is the process for solving the equation 5b - 6 = 24?

Back

First, add 6 to both sides to get 5b = 30, then divide both sides by 5 to find b = 6.

Front

What is an inverse operation?

Back

An inverse operation is an operation that reverses the effect of another operation, such as addition and subtraction or multiplication and division.

Front

How do you apply the distributive property to the equation -11 + 3(b + 5) = 7?

Back

You distribute 3 to both b and 5, resulting in -11 + 3b + 15 = 7.