Solve multi-step equation with distributive property and combine like terms

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

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

What is the first step to solve the equation: 2(5x + 3) - 9 = 18?

Back

Multiply 2 to 5x and 3.

Front

What do you do after distributing in an equation?

Back

After distributing, combine like terms to simplify the equation.

Front

Solve the equation: 2x - 3 + 4x = 27. What is x?

Back

x = 5.

Front

What is the next step after distributing 5 to 1 and 4h in the equation 5(1 + 4h)?

Back

Combine 20h and 2h to get 22h.

Front

Solve the equation: 3(x - 5) - x = 1. What is x?

Back

x = 8.

Front

What is the solution to the equation: 2(3b + 1) + 2b = -22?

Back

b = -3.

Front

What does it mean to isolate the variable in an equation?

Back

Isolating the variable means to get the variable alone on one side of the equation to solve for its value.