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 such as 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 -5k + 10 = -2k - 14?

Back

The first step is to add 2k to both sides to combine like terms.

Front

What is the solution to the equation ½ (2x + 6) = 3x + 13?

Back

x = -5.

Front

How do you eliminate fractions in an equation?

Back

Multiply every term in the equation by the least common denominator (LCD) to eliminate fractions.

Front

What is the solution to the equation 5y + 34 = -2(-7y + 1)?

Back

y = 4.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that make the equation true.

Front

What is the solution to the equation 10x + 9 = 4x - 9?

Back

x = -3.

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 check your solution to an equation?

Back

Substitute the solution back into the original equation to see if both sides are equal.