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 4x = 7 + 3x?

Back

The first step is to isolate the variable x by moving all terms involving x to one side of the equation.

Front

Solve for x: 4x = 7 + 3x

Back

x = 7

Front

What is the solution to the equation 5x + 4 = -6?

Back

x = -2

Front

How do you isolate x in the equation 10(x - 5) = -80?

Back

First, divide both sides by 10, then add 5 to both sides to isolate x.

Front

Solve for k: k + 24 = 200

Back

k = 176

Front

What is the solution to the equation 10x - 30 = 0?

Back

x = 3

Front

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

Back

A variable represents an unknown value that can change or vary.

Front

What is the purpose of checking your solution after solving an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.