One Variable Equations and Inequalities

Front

What is a one-variable equation?

Back

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 if an equation has no solution?

Back

It means that there is no value for the variable that can satisfy the equation.

Front

Solve: 2x + 1 = 2x - 1

Back

No Solution

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation until the variable is alone.

Front

What is the solution to the equation w/5 = -10?

Back

w = -50

Front

What does it mean to translate a verbal statement into an equation?

Back

It means to convert a word problem or statement into a mathematical equation that represents the same relationship.

Front

Translate: Four times a number plus six IS 30.

Back

4x + 6 = 30

Front

What is an inequality?

Back

A mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

Solve: 4 = 2(x + 3)

Back

x = -1

Front

What is the first step in solving the equation 3x + 5 = 20?

Back

Subtract 5 from both sides to isolate the term with the variable.