Question

PLEASE ANSWER:

1. Distribute to simplify the expression:

3 ( 2X + 5Y - 4)


CHOICES:

6X + 15Y - 12

21XY + 12

6X + 15X + 12

21XY - 12


2. What is the value of the expression when c = 4?

4c + 3c -2c + 5



CHOICES:

25

14

33

16


3. Factor the expression:

55x - 25


CHOICES:

5 ( 11x - 5)

11 ( 5x - 5)

5 ( 5x + 5)

11 ( 5x + 5)

Answer 1

For number one, i believe it would be 6x + 15Y-12. You just multiply 3 by everything i. the parentheses. I hope this helps :)

Answer 2

1. 6x+15y-12

2. 25

3. 5(11x-5)

Explanation:

1. We have the expression
`3(2x+5y-4)` we have to distribute number 3 to simplify the expression:

`3(2x+5y-4)=\\3.(2x)+3.(5y)-3.(4)=\\=6x+15y-12`

Then the correct answer is the first choice: 6x+15y-12

2. We have to find the value of the expression when c=4, we have

`f(c)=4c + 3c -2c + 5`

Then when c=4:

`f(4)=4.(4) + 3.(4) -2.(4)+ 5\\f(4)=16+12-8+5\\f(4)=28-3\\f(4)=25`

Then the correct answer is the first choice: 25

3. We have to factor the expression 55x-25,

we can see that (5).11=55 and (5).5=25, then the common factor in this expression is number 5,

`55x-25=\\(5).11x-(5).5=\\=5(11x-5)`

Then the correct answer is the first choice: 5(11x-5)