Question

Distributive property of addition;

The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2. 3(10 + 2) = ? According to this property, you can add the numbers and then multiply by 3.
Some questions based answer them;
1. Evaluate using distributive property : 7(10 + 2)
2. Evaluate using distributive property : 6(x + y)
3. Evaluate using distributive property : m(n + p)
4. Evaluate using distributive property : 5(x² + y² + z²)
5. Evaluate using distributive property : m(m² + m + 5)
6. Write the given verbal phrase into algebraic expression
"3 times the sum of two different numbers"
7. If 4 times the sum of a number and 5 is 32, find the number.
8. Write the given verbal phrase into an algebraic expression
"6 times the sum of three different numbers"
9. If 7 times the sum of 3 times of a number and 6 is 147, find the number.
10. If 9 times the sum of 7 and 4 times of a number is 135, find the number.

Answer 1

Refer the attachment

hope it helps