Solving One-Step Equations

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single step by performing the same operation on both sides of the equation.

Front

How do you solve the equation: a - 19 = -30?

Back

Add 19 to both sides: a = -30 + 19, so a = -11.

Front

What is the solution to the equation: 3w = 15?

Back

Divide both sides by 3: w = 15 / 3, so w = 5.

Front

How do you solve the equation: 10 = k + 19?

Back

Subtract 19 from both sides: k = 10 - 19, so k = -9.

Front

What is the solution to the equation: 20 = k + 16?

Back

Subtract 16 from both sides: k = 20 - 16, so k = 4.

Front

How do you solve the equation: \frac{c}{-8} = 12?

Back

Multiply both sides by -8: c = 12 * -8, so c = -96.

Front

What is the principle of balancing equations?

Back

The principle of balancing equations states that you can perform the same operation on both sides of an equation without changing its equality.

Front

What operation would you use to isolate a variable in an equation?

Back

You would use inverse operations to isolate a variable, such as addition to cancel subtraction or multiplication to cancel division.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to get the variable alone on one side of the equation, making it easier to solve.

Front

What is the first step in solving a one-step equation?

Back

Identify the operation being performed on the variable and apply the inverse operation to both sides of the equation.