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 such as addition, subtraction, multiplication, and division.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you 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 26 = 5a + 1?

Back

The first step is to subtract 1 from both sides to get 25 = 5a.

Front

What is the solution to the equation 3f - 12 = -3?

Back

The solution is f = 3.

Front

How do you check if your solution to an equation is correct?

Back

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

Front

What does it mean to have a negative coefficient in an equation, such as -3a + 8 = 14?

Back

A negative coefficient indicates that the variable's value will decrease as the coefficient is multiplied by it.

Front

What is the process to solve the equation 18 = 3(3x - 6)?

Back

First, distribute the 3 to get 18 = 9x - 18, then add 18 to both sides to get 36 = 9x, and finally divide by 9 to find x = 4.

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of the equation have the same value.

Front

What is the solution to the equation -3a + 8 = 14?

Back

The solution is a = -2.

Front

What is the importance of performing the same operation on both sides of an equation?

Back

Performing the same operation on both sides maintains the equality of the equation.