Equations, Inequalities, Graphs, and Tables Review

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, or not equal to the other. Examples include: x < 5, x ≥ 3.

Front

What does the graph of x < 2 look like?

Back

The graph of x < 2 is a number line with an open circle at 2 and a shaded line extending to the left, indicating all values less than 2.

Front

How do you solve the equation 14x = 56?

Back

To solve for x, divide both sides by 14: x = 56 / 14 = 4.

Front

What is the solution to the equation 1.9 + x = 3.6?

Back

To find x, subtract 1.9 from both sides: x = 3.6 - 1.9 = 1.7.

Front

What does the inequality x > 5 mean?

Back

The inequality x > 5 means that x can take any value greater than 5.

Front

How do you represent the solution to the inequality x < -2 on a number line?

Back

On a number line, you would place an open circle at -2 and shade to the left to indicate all values less than -2.

Front

What is the value of b in the equation b/4 = 12?

Back

To find b, multiply both sides by 4: b = 12 * 4 = 48.

Front

What is a solution to an equation?

Back

A solution to an equation is a value that makes the equation true when substituted for the variable.

Front

What does the graph of x > -2 look like?

Back

The graph of x > -2 is a number line with an open circle at -2 and a shaded line extending to the right, indicating all values greater than -2.

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.