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 addition, subtraction, multiplication, or division to isolate the variable.

Front

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

Back

To isolate a variable means to manipulate the equation so that the variable is on one side of the equation by itself, making it easier to solve.

Front

What is the first step to solve the equation: 3x = 12?

Back

Divide both sides by 3 to get x = 4.

Front

What equation represents the situation: 'A number decreased by 5 equals 15'?

Back

x - 5 = 15.

Front

What is the solution to the equation: x + 7 = 20?

Back

x = 20 - 7, so x = 13.

Front

What operation would you use to solve the equation: 5y = 25?

Back

Divide both sides by 5.

Front

What does the equation v + 4 = 10 represent?

Back

It represents a situation where a variable v, when increased by 4, equals 10.

Front

What is the first step to solve for b in the equation: 2b = -16?

Back

Divide both sides by 2 to get b = -8.

Front

What is the solution to the equation: 10 - x = 4?

Back

x = 10 - 4, so x = 6.

Front

What does it mean to 'multiply both sides' of an equation?

Back

It means to perform the same multiplication operation on both sides of the equation to maintain equality.