Multi-Step Equations Variables on Both Sides

Front

What is a multi-step equation?

Back

A multi-step 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 does it mean to have variables on both sides of an equation?

Back

Having variables on both sides means that the variable appears in expressions on both the left and right sides of the equation.

Front

What is the first step in solving the equation 2(x + 5) - 7 = 3(x - 2)?

Back

The first step is to distribute the numbers outside the parentheses: 2x + 10 - 7 = 3x - 6.

Front

What is the solution to the equation 2(x + 5) - 7 = 3(x - 2)?

Back

The solution is x = 9.

Front

How do you combine like terms in an equation?

Back

You combine like terms by adding or subtracting the coefficients of terms that have the same variable and exponent.

Front

What is the solution to the equation 2x + 3(5x - 7) = 47?

Back

The solution is x = 4.

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.

Front

What is the solution to the equation 8v - 4(v + 8) = 8?

Back

The solution is v = 10.

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 two or more terms inside a set of parentheses.