Multi-Step Linear Equations

Front

What is a multi-step linear equation?

Back

A multi-step linear equation is an equation that requires more than one step to isolate the variable and solve for its value.

Front

How do you isolate a variable in a linear 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 33 = 4a - 7?

Back

The first step is to add 7 to both sides of the equation to eliminate the constant on the right side.

Front

What is the solution to the equation 6 - 3a = 21?

Back

The solution is a = -5.

Front

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

Back

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

Front

What is the solution to the equation 3x - 5 = -26?

Back

The solution is x = -7.

Front

What is the process to solve the equation 2x + 5 = 12?

Back

Subtract 5 from both sides, then divide by 2 to isolate x.

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

The solution is x = 5.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the importance of maintaining balance in an equation?

Back

Maintaining balance means that whatever operation you perform on one side of the equation must also be performed on the other side to keep the equation true.