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 operations such as addition, subtraction, multiplication, and division.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you 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 x - 3 = 10?

Back

The first step is to add 3 to both sides of the equation to isolate x.

Front

What is the solution to the equation 5h - 6 - h + 10 = 12?

Back

The solution is h = 2.

Front

How do you simplify the expression 5h - 6 - h + 10?

Back

Combine like terms: 5h - h = 4h and -6 + 10 = 4, so it simplifies to 4h + 4.

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 apply the distributive property to the equation 6(2n + 5) = 66?

Back

Distribute 6 to both terms inside the parentheses: 12n + 30 = 66.

Front

What is the next step after applying the distributive property in the equation 12n + 30 = 66?

Back

Subtract 30 from both sides to isolate the term with n: 12n = 36.

Front

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

Back

The solution is x = 17.

Front

How do you combine like terms in the equation -2x - 7 + 3x = 10?

Back

Combine -2x and 3x to get x - 7 = 10.