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 - 14 = 6?

Back

The first step is to isolate the variable term by adding 14 to both sides of the equation.

Front

What is the solution to the equation -4x - 14 = 6?

Back

The solution is x = -5.

Front

How do you solve the equation 7 + \frac{a}{3} = 5?

Back

Subtract 7 from both sides, then multiply by 3 to isolate a. The solution is a = -6.

Front

What is the solution to the equation 3(x + 2) = 15?

Back

The solution is x = 3.

Front

What is the process to solve the equation 3p - 1 = 5?

Back

Add 1 to both sides, then divide by 3. The solution is p = 2.

Front

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

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the solution to the equation x + 2 + 6 = 8?

Back

The solution is x = 0.

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one and graphs as a straight line.