Question

Question 1 (1 point)

If mn = p-q which of the following is an expression for q in terms of m,n and p?
m = q - p - n
q = p - m+n
q = mn-p
q = p - mn

Question 2 (1 point)
What is the value of the c when 5c + 23 = c -1

Question 3 (1 point)
When f= 2 and g= 3 by how much does the value of 4f2−g exceed the value of 3f2 −3g?

Answer 1

1. q = p - mn

2. c = -6

3. 10

Explanation:

1.

`mn=p-q\\\textsf{add q to both sides}\implies mn + q = p\\\textsf{subtract mn from both sides}\implies q = p-mn`

2.

`5c+23=c-1\\\textsf{subtract 23 from both sides}\implies5c=c-24\\\textsf{subtract c from both sides}\implies4c=-24\\\textsf{divide both sides by 4}\implies c=-6`

3.

`4f^2-g\\\implies 4(2)^2-3=13\\\\3f^2-3g\\\implies 3(2)^2-(3 *3)=3\\\\13-3=10`