Solving 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, 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 5x - 14 = 8x + 4?

Back

The first step is to get all terms involving x on one side and constant terms on the other side.

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Front

Solve for m: 2m + 6m = 32

Back

m = 4

Front

What is the solution to the equation 4 = 2(x + 3)?

Back

x = -1

Front

How do you check your solution in an equation?

Back

To check your solution, substitute the value back into the original equation to see if both sides are equal.

Front

What is the importance of the distributive property in solving equations?

Back

The distributive property allows you to eliminate parentheses by multiplying a term outside the parentheses by each term inside.

Front

Solve for x: 4x + 10 = -26

Back

x = -9