Solving 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, often involving operations like addition, subtraction, multiplication, and division.

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 2x - 9 = -35?

Back

Add 9 to both sides of the equation to eliminate the constant term.

Front

What is the solution to the equation 2x - 9 = -35?

Back

x = -13.

Front

How do you combine like terms in an equation?

Back

Combine like terms by adding or subtracting the coefficients of the same variable.

Front

What is the solution to the equation 5x - 4 + 2x = 3?

Back

x = 1.

Front

What does it mean for an equation to have a solution?

Back

An equation has a solution when there is a value for the variable that makes the equation true.

Front

Which equation has a solution of 24? -48 + 12 + x = -12, -14 + 12 + x = -12, -31x - 41x = -48, -46x + 48x = 12

Back

-48 + 12 + x = -12.

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.

Front

How do you apply the distributive property in the equation 2x + 3(5x - 7)?

Back

Distribute 3 to both 5x and -7, resulting in 2x + 15x - 21.