Solving Equations with Variables on One Side

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.

Front

What is the first step in solving the equation: 3(x - 2) = 18?

Back

Distribute the 3 to both terms inside the parentheses.

Front

Solve the equation: 3(x - 2) = 18.

Back

x = 8.

Front

What is the first step in solving the equation: 5x + 7 = 12?

Back

Subtract 7 from both sides.

Front

Solve the equation: x + 3x - 2x = 12.

Back

x = 6.

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable helps to find its value by getting it alone on one side of the equation.

Front

Back

x = 15.

Front

Back

Add 4 to both sides.