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. It often involves combining like terms, distributing, and isolating the variable.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and/or distribute to make the expression easier to work with.

Front

What is the first step in solving the equation 3(x + 2) = 15?

Back

The first step is to distribute the 3 to both terms inside the parentheses: 3x + 6 = 15.

Front

How do you combine like terms in the expression 4x + 3x + 5?

Back

You add the coefficients of the like terms: 4x + 3x = 7x, so the expression simplifies to 7x + 5.

Front

What is the solution to the equation 2x + 4 = 12?

Back

To solve for x, first subtract 4 from both sides to get 2x = 8, then divide by 2 to find x = 4.

Front

What does it mean to distribute in an equation?

Back

Distributing means to multiply a term outside the parentheses by each term inside the parentheses.

Front

Solve the equation: 5x - 3 = 12.

Back

Add 3 to both sides to get 5x = 15, then divide by 5 to find x = 3.

Front

What is the solution to the equation 4(x - 1) = 16?

Back

First, distribute: 4x - 4 = 16. Then add 4 to both sides: 4x = 20. Finally, divide by 4 to find x = 5.

Front

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

Back

Isolating the variable means to get the variable by itself on one side of the equation.

Front

Solve the equation: 3x + 2 = 11.

Back

Subtract 2 from both sides to get 3x = 9, then divide by 3 to find x = 3.