Solve 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 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

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 solve the equation 5x + 4 = -6?

Back

Subtract 4 from both sides to get 5x = -10, then divide by 5 to find x = -2.

Front

What is the solution to the equation -8x = -96?

Back

Divide both sides by -8 to find x = 12.

Front

How do you solve the equation 7(x + 2) + 3 = 73?

Back

Distribute to get 7x + 14 + 3 = 73, combine like terms to get 7x + 17 = 73, subtract 17 to get 7x = 56, then divide by 7 to find x = 8.

Front

What is the first step in solving 8v - 4(v + 8) = 8?

Back

Distribute -4 to get 8v - 4v - 32 = 8, then combine like terms.

Front

How do you solve the equation 4x - 5x + 9 = 5x - 9?

Back

Combine like terms to get -x + 9 = 5x - 9, then add x to both sides and add 9 to both sides to find x = 3.

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.