Which property explains why the expression $1 \cdot (x + 5)$ can be simplified to $x + 5$?

Identity Property of Multiplication

Using the Properties of Real Numbers to Simplify Expressions Practice — Grade 9 math

1. Which equation is an example of the Identity Property of Addition?
- A. $42 + (-42) = 0$
- B. $42 + 0 = 42$
- C. $42 \cdot 1 = 42$
- D. $42 \cdot 0 = 0$
2. Solve for the value of z in the equation $z + 23 - 23 = 50$. The value of z is ___.
3. Which property explains why the expression $1 \cdot (x + 5)$ can be simplified to $x + 5$?
- A. Commutative Property
- B. Associative Property
- C. Identity Property of Multiplication
- D. Identity Property of Addition
4. Simplify the expression $(8 \cdot \frac{1}{8}) \cdot m$.
- A. 8m
- B. m
- C. 1
- D. 0
5. According to the Identity Property of Addition, the expression $b + 0$ is equivalent to ___.
6. Which equation is a correct example of the Associative Property of Multiplication?
- A. $(a \cdot b) \cdot c = a \cdot (b \cdot c)$
- B. $a \cdot b = b \cdot a$
- C. a(b + c) = ab + ac
- D. $a \cdot (b \cdot c) = (b \cdot c) \cdot a$
7. Use the Associative Property to mentally calculate the value of $50 \cdot (2 \cdot 19)$. The result is ___.
8. Use the Associative Property to help you calculate $(73 + 89) + 11$. The sum is ___.
9. The statement $(x+y)+z = (y+x)+z$ is an example of which property being applied?
- A. Associative Property
- B. Commutative Property
- C. Distributive Property
- D. Identity Property
10. According to the Associative Property of Addition, the expression $15 + (k + 8)$ is equivalent to ___.