Solving Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more 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 the first step in solving the equation 5x - 14 = 8x + 4?

Back

The first step is to isolate the variable on one side of the equation, typically by moving all terms involving the variable to one side and constant terms to the other.

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6

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

Solve for x: 4x - 5x + 9 = 5x - 9

Back

x = 3

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.

Front

Solve for x: 7x - 4 = 3 + 8x

Back

x = -7

Front

What does it mean to isolate a variable?

Back

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

Front

Solve for x: 3(x-4) = -3

Back

x = 3