One-Step Equations Addition/Subtraction

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 addition or subtraction to isolate the variable.

Front

How do you solve the equation m - 6 = 10?

Back

To solve m - 6 = 10, add 6 to both sides to get m = 16.

Front

What is the first step to solve the equation y - 33 = 147?

Back

Add 33 to both sides to isolate y, resulting in y = 180.

Front

What is the inverse operation of subtraction?

Back

The inverse operation of subtraction is addition.

Front

In the equation x + 7 = 12, how do you isolate x?

Back

Subtract 7 from both sides to solve for x, resulting in x = 5.

Front

What is the correct step to solve for m in the equation 15 = m - 5?

Back

Add 5 to both sides to isolate m, resulting in m = 20.

Front

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

Back

Isolating a variable means manipulating 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 2x + 3 = 11?

Back

Subtract 3 from both sides to get 2x = 8, then divide by 2 to find x = 4.

Front

How do you check your solution for an equation?

Back

Substitute the solution back into the original equation to verify that both sides are equal.

Front

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

Back

Inverse operations are used to undo operations in an equation, allowing us to isolate the variable.