Solving One-Variable Equations

Front

What is a one-variable equation?

Back

A one-variable equation is an equation that contains only one variable, such as x, and can be solved to find the value of that variable.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true.

Front

Solve the equation: x - 4 = 8

Back

x = 12

Front

Solve the equation: 4x + 15 = 31

Back

x = 4

Front

Solve the equation: 0.5(2x + 14) = 10

Back

x = 3

Front

Solve the equation: x + 18 = 20

Back

x = 2

Front

Solve the equation: 2(3x + 1) = 26

Back

x = 4

Front

What is the first step in solving the equation x - 4 = 8?

Back

Add 4 to both sides of the equation.

Front

What is the principle of balancing equations?

Back

The principle of balancing equations states that whatever you do to one side of the equation, you must do to the other side to maintain equality.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.