One-Variable Equations and Inequalities

Front

What is a one-variable equation?

Back

An equation that contains only one variable, such as x or y, and can be solved to find the value of that variable.

Front

Solve for y: 3y + 20 = -1

Back

y = -7

Front

What is the first step in solving the equation 2x + 10 = 22?

Back

Subtract 10 from each side.

Front

What is a variable?

Back

Usually x or a letter, it is liable to change.

Front

What is a constant?

Back

A one-time amount that does not change.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

Flip the sign.

Front

Solve for x: 5x - 15 = 10

Back

x = 5

Front

What is the solution to the inequality: x + 3 < 7?

Back

x < 4

Front

What does it mean to isolate a variable?

Back

To get the variable alone on one side of the equation.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.