Equations and Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

Solve for k: k/2 ≥ 8

Back

k ≥ 16

Front

What is the solution to the equation x/5 - 13 = 20?

Back

x = 165

Front

Match the inequality to its graph: 11 ≤ a

Back

The graph shows all values of a that are greater than or equal to 11.

Front

Expand the expression: 5(a + 6)

Back

5a + 30

Front

Solve for x: 2x + 3(5x - 7) = 47

Back

x = 4

Front

What does it mean when an equation has no solution?

Back

It means that there are no values that can satisfy 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.

Front

How do you isolate a variable in an equation?

Back

You perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution set of the inequality x < 3?

Back

The solution set includes all real numbers less than 3.