Solving Single Step Equations Warm Up

Front

What is a single-step equation?

Back

A single-step equation is an algebraic equation that can be solved in one step, typically by performing a basic operation such as addition, subtraction, multiplication, or 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 inverse operation of multiplication?

Back

The inverse operation of multiplication is division.

Front

What is the solution to the equation 18 = 3b?

Back

The solution is b = 6.

Front

How do you solve the equation 144 = 12z?

Back

Divide both sides by 12 to get z = 12.

Front

What is the first step to solve the equation \( \frac{x}{2} = 9 \)?

Back

Multiply both sides by 2.

Front

What is the solution to the equation \( \frac{x}{3} = -6 \)?

Back

The solution is x = -18.

Front

How do you solve the equation -3x = -9?

Back

Divide both sides by -3 to get x = 3.

Front

What does it mean to 'solve for x'?

Back

To 'solve for x' means to find the value of x that makes the equation true.

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo the operations applied to the variable, allowing you to isolate it.