P(Parentheses)
E(Exponents)
M(Multiplication)
D(Division)
A(Addition)
S(Subtraction)
1) <span>-8(9k - 4)= 9k + 32
-72k + 32 = 9k + 32
-72k = 9k
-8k = k
0 = k + 8k
0 = 9k
0 = k
k = 0
---------
2) 8m + 6m
<span>14m
</span>---------
3) </span><span>-6(2 + 3r)
</span> -12 - 18r
----------
4) <span> 9 + 3n - 2
3n + 7
----------
5) </span><span>-5(-7 + 4p)
-5(4p - 7)
-20p + 35
----------
6) </span><span>2c - 5 + 8c
(2c + 8c) - 5
10c - 5
-----------
7) </span><span>8 + 6z + 3
6z + 11
-----------
8) </span><span>9p + p
10p
-----------
9) </span><span> 2(-6b + 5)
2 </span>× -6n + 2 × 5
-2 × 6b + 2 × 5
-12b + 2 × 5
-12b + 10
-----------
10) <span>8 - 3b + 7
-3b + 15</span>
............................................9
(f+g)(x) = 2x - 1 + x^2 + 7 = x^2 + 2x + 6
(f-g)(x) = 2x - 1 - x^2 - 7 = -x^2 + 2x - 8
(f*g)(x) = (2x - 1)(x^2 - 7) = 2x^3 - 14x - x^2 + 7 = 2x^3 - x^2 - 14x + 7
(f/g)(x) = (2x - 1)/(x^2 - 7) - No simplification
f(g(-8)) = 2((-8)^2) - 7) - 1
= 2(64 - 7) -1
= 2(57) - 1 = 114 - 1 = 113
g(f(1)) = (2(1) - 1)^2 - 7
= (2 - 1)^2 - 7
= 1^2 - 7 = 1 - 7 = -6
1. multiply 5 inside of the parenthesis
5x+10
2. multiply the 2 inside the parenthesis and add the variables
9x-2