Equations and Inequalities 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, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≥' represent?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' represent?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you solve the inequality -4x + 9 ≤ -23?

Back

First, subtract 9 from both sides: -4x ≤ -32. Then, divide by -4 (remember to flip the inequality sign): x ≥ 8.

Front

What is the solution to the equation x/12 = 7.5?

Back

To solve for x, multiply both sides by 12: x = 90.

Front

If x = 18, is the statement 9x = 108 true?

Back

Yes, because 9 * 18 = 162, which is not equal to 108. The statement is false.

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

What is a dependent variable?

Back

A dependent variable is a variable whose value depends on the value of another variable, known as the independent variable.

Front

What is an independent variable?

Back

An independent variable is a variable that stands alone and isn't changed by other variables in the experiment.

Front

How do you graph the inequality x ≥ 2 and x ≤ 4?

Back

You would draw a number line, shade the region between 2 and 4, and use solid dots at 2 and 4 to indicate that these endpoints are included.