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 r + 20 = 27?

Back

Subtract 20 from both sides to isolate r: r = 27 - 20, so r = 7.

Front

What is the solution to the equation s - 22 = 50?

Back

Add 22 to both sides to isolate s: s = 50 + 22, so s = 72.

Front

How do you isolate x in the equation 17 = x + 3?

Back

Subtract 3 from both sides: x = 17 - 3, so x = 14.

Front

What is the first step to solve the equation 15 = m - 5?

Back

Add 5 to both sides to isolate m: m = 15 + 5, so m = 20.

Front

How do you solve x - 62 = 123?

Back

Add 62 to both sides: x = 123 + 62, so x = 185.

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 by itself, making it easier to solve.

Front

What is the purpose of performing the same operation on both sides of an equation?

Back

Performing the same operation on both sides maintains the equality of the equation, allowing you to solve for the variable.

Front

What is the solution to the equation 3 + x = 10?

Back

Subtract 3 from both sides: x = 10 - 3, so x = 7.

Front

How do you solve the equation y - 5 = 10?

Back

Add 5 to both sides: y = 10 + 5, so y = 15.