Unit 3B Test (Pre-Algebra)

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 '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, in the inequality 5 > 3, 5 is greater than 3.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, in the inequality 2 < 4, 2 is less than 4.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, in the inequality x ≥ 3, x can be 3 or any number greater than 3.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, in the inequality y ≤ 5, y can be 5 or any number less than 5.

Front

How do you solve the inequality 7n - 1 > 76?

Back

To solve, add 1 to both sides: 7n > 77. Then divide by 7: n > 11.

Front

What is the solution to the inequality -3x ≤ 18?

Back

To solve, divide both sides by -3 (remember to flip the inequality): x ≥ -6.

Front

How do you graph the inequality x < -4 on a number line?

Back

Draw a number line, place an open circle at -4, and shade to the left to indicate all numbers less than -4.

Front

How do you graph the inequality x ≥ 3 on a number line?

Back

Draw a number line, place a closed circle at 3, and shade to the right to indicate all numbers greater than or equal to 3.

Front

What is the first step to solve the inequality 4(3y - 7) ≥ 8(y + 2)?

Back

Distribute: 12y - 28 ≥ 8y + 16.