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 a multi-step 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 2(10x + 10) = 60?

Back

The first step is to distribute the 2 to both terms inside the parentheses, resulting in 20x + 20 = 60.

Front

What does it mean to distribute in an equation?

Back

Distributing means multiplying a term outside the parentheses by each term inside the parentheses.

Front

In the equation 30 = -2(x - 3), what is the first operation to perform?

Back

The first operation is to divide both sides by -2 to simplify the equation.

Front

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

Back

The solution is k = -2, found by isolating k through subtraction and division.

Front

How do you check if your solution to a multi-step equation is correct?

Back

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

Front

What is the significance of the negative sign in the equation -2(12x + 1) = 22?

Back

The negative sign indicates that the entire expression inside the parentheses is multiplied by -2, affecting the signs of the terms.

Front

What is the process to solve the equation 2(3a + 2) = -8?

Back

First, distribute the 2, then isolate the variable by performing inverse operations.

Front

What does it mean to perform inverse operations?

Back

Inverse operations are operations that undo each other, such as addition and subtraction or multiplication and division.