**Q1: **

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

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

**Q2: **

Which addition property of natural numbers is used in the expression ?

- Aassociative
- Bcommutative
- Cclosure
- Dadditive identity

**Q3: **

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

- A
- B
- C
- D
- E

**Q4: **

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

**Q6: **

What is ?

**Q7: **

Identify the property demonstrated in the following equation: .

- Aassociative property of multiplication
- Bcommutative property of multiplication
- Cdistributive property
- Didentity property of multiplication

**Q9: **

A vehicle traveled at a speed of 86 miles per hour for one hour. The distance it traveled can be represented as . What property of the real numbers was used in solving this expression?

- Aassociative property of multiplication
- Bcommutative property of multiplication
- Cdistributive property
- Didentity property of multiplication

**Q10: **

Find the additive inverse of .

- A
- B
- C
- D

**Q13: **

Given that , find the value of .

**Q14: **

Ethan 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, Ethan 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

**Q15: **

Given that , is the additive, or multiplicative inverse of ?

- A additive
- B multiplicative

**Q16: **

What is the additive inverse of 0?

**Q17: **

Given that is the additive inverse of , which of the following is true?

- A
- B
- C
- D
- E

**Q18: **

Which of the following is the sum ?

- A a negative number
- B a positive number
- Czero

**Q19: **

Find the value of in the equation .

- A
- B
- C
- D
- E

**Q20: **

Which property of multiplication is used in ?

- Acommutative property
- Bclosure property
- Cmultiplicative-identity property
- Dmultiplicative-inverse property
- Eassociative property

**Q21: **

Find the multiplicative inverse of .

- A
- B
- C
- D
- E 1

**Q22: **

In the solution of , consider the steps

In going from the second equation to the third equation, the fact that is used. What other property of numbers is used in this step?

- Athe commutative property
- Bthe distributive property
- Cthe zero property of addition
- Dthe associative property
- Ethe property of opposites