Solving One Step Equations by Adding and Subtracting

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single operation, either by adding, subtracting, multiplying, or dividing.

Front

How do you solve the equation f - 16 = 34?

Back

To solve for f, add 16 to both sides: f = 34 + 16, so f = 50.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

What is the inverse operation of subtraction?

Back

The inverse operation of subtraction is addition.

Front

How do you solve the equation Y + 6 = 20?

Back

To solve for Y, subtract 6 from both sides: Y = 20 - 6, so Y = 14.

Front

How do you solve the equation X - 15 = 20?

Back

To solve for X, add 15 to both sides: X = 20 + 15, so X = 35.

Front

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

Back

The first step is to isolate the variable by performing the inverse operation, which is subtraction.

Front

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

Back

The first step is to isolate the variable by performing the inverse operation, which is addition.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

Can you give an example of a one-step equation involving multiplication?

Back

Yes, an example is 3x = 12. To solve, divide both sides by 3: x = 12 / 3, so x = 4.