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, typically involving basic operations such as addition, subtraction, multiplication, or division.

Front

How do you solve the equation 5m = 10?

Back

To solve for m, divide both sides of the equation by 5. Thus, m = 10 / 5 = 2.

Front

What is the first step to solve the equation c - 5 = 8?

Back

Add 5 to both sides of the equation to isolate c. Thus, c = 8 + 5 = 13.

Front

How do you find the value of k in the equation k - 2.14 = 85?

Back

Add 2.14 to both sides of the equation. Thus, k = 85 + 2.14 = 87.14.

Front

What is the inverse operation of subtraction?

Back

The inverse operation of subtraction is addition.

Front

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

Back

Add 4 to both sides of the equation to isolate m. Thus, m = 12 + 4 = 16.

Front

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

Back

Inverse operations are used to isolate the variable and solve the equation by reversing the operation applied to the variable.

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 solution to the equation 3x = 12?

Back

To solve for x, divide both sides by 3. Thus, x = 12 / 3 = 4.

Front

How can you check if your solution to an equation is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.