In this worksheet, we will practice identifying the identity and inverse properties of addition and multiplication and applying these properties in real-life situations.

**Q1: **

Which of the following equations illustrates the zero property of addition?

- A
- B
- C
- D
- E

**Q2: **

What is the identity element for addition in the set of algebraic fractions?

**Q6: **

Complete the following and state which property is being used: .

- A0, associative
- B51, commutative
- C51, associative
- D0, additive identity

**Q8: **

Sherif runs the marketing department at his company. His department gets a budget every year, and every year, he must spend the entire budget without going over. If he spends less than the budget, then his department gets a smaller budget the following year. At the beginning of this year, Sherif got $2.50 million for the annual marketing budget. He must spend the budget such that . What property of addition tells us what the value of must be?

- Adistributive property of addition
- Bassociative properties of addition
- Cidentity property of addition
- Dinverse property of addition
- Ecommutative property of addition

**Q9: **

Given that , is the additive or multiplicative inverse of ?

- A Additive
- B Multiplicative

**Q10: **

Find the value of in the equation .

- A
- B
- C
- D
- E

**Q11: **

Find the multiplicative inverse of .

- A
- B
- C
- D
- E 1

**Q12: **

What can be said about two different numbers that add up to zero?

- AThey are equal to zero.
- BThey have the same absolute value but different signs.
- CThey have absolute values of different signs.
- DThey are additive inverses.

**Q13: **

What is ?