Question

PLEASE HELP

Answer all three of the questions below.

1. Write an equivalent expression to 2 + 3 + 5 + 6 by combining like terms.


2. Find the sum of (8a – 2b - 4) and (3b − 5).


3.Write the expression in standard form: 4(2a) + 7(−4b) + (3 ∙ c ∙ 5).

Answer 1

a)
`2 + 3 + 5 + 6 = 16`

b)
`8a + b-9`

c)
`8a - 28b + 15c`

Explanation:

We are given the following in the question:

1. Equivalent expression

`2 + 3 + 5 + 6`

Since all the terms are like terms, we can write,

`2 + 3 + 5 + 6 = 16`

2. Sum of given expression

`(8a - 2b - 4) \text{ and } (3b - 5)\\ (8a - 2b - 4) + (3b -5)\\= 8a -2b -4 + 3b -5\\\text{Collecting the like terms}\\8a + (-2b+3b) + (-4-5)\\= 8a + b-9`

3. Standard form of the expression

`4(2a) + 7(-4b) + (3 * c * 5)\\=(8a) + (-28b) + (15c)\\=8a - 28b + 15c`

which is the required standard form of the given expression.