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 an inverse operation to isolate the variable.

Front

How do you solve the equation m + 4 = 12?

Back

Subtract 4 from both sides to isolate m: m = 12 - 4, so m = 8.

Front

What is the inverse operation of addition?

Back

The inverse operation of addition is subtraction.

Front

How do you solve the equation m - 4 = 12?

Back

Add 4 to both sides to isolate m: m = 12 + 4, so m = 16.

Front

What is the solution to the equation 5 + c = 8?

Back

Subtract 5 from both sides to isolate c: c = 8 - 5, so c = 3.

Front

How do you solve the equation 5m = 10?

Back

Divide both sides by 5 to isolate m: m = 10 / 5, so m = 2.

Front

What is the inverse of division?

Back

The inverse of division is multiplication.

Front

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

Back

Inverse operations are used to isolate the variable and find its value by undoing the operation applied to it.

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

What is the first step in solving the equation x + 7 = 15?

Back

Subtract 7 from both sides to isolate x.