Unit 1 Review- Adv. Algebra 2

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.

Front

What does the symbol '>' represent?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' represent?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≤' represent?

Back

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

Front

What does the symbol '≥' represent?

Back

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

Front

How do you solve the equation 2x - 3 + 4x = 27?

Back

Combine like terms to get 6x - 3 = 27, then add 3 to both sides to get 6x = 30, and finally divide by 6 to find x = 5.

Front

What is the solution set for the inequality -3 ≤ 2x - 1 ≤ 5?

Back

The solution set is -1 ≤ x ≤ 3.

Front

How do you solve the compound inequality x + 8 < 3 or -8x < -40?

Back

For x + 8 < 3, subtract 8 to get x < -5. For -8x < -40, divide by -8 (remember to flip the inequality) to get x > 5. The solution is x < -5 or x > 5.

Front

What is the solution to the inequality 3(x - 3) ≤ 2(x + 2)?

Back

Distributing gives 3x - 9 ≤ 2x + 4. Subtract 2x from both sides to get x - 9 ≤ 4, then add 9 to both sides to find x ≤ 13.

Front

What is a compound inequality?

Back

A compound inequality is an inequality that combines two or more inequalities, often using 'and' or 'or'.