Question

unit 2 - online quiz
score: 16/100 answered: 1/11
question 2
combining like terms
identify and combine the like terms.
-f - 3f + 4f - 4f =
3g² + 7g³ + 8g² + g - g³ =
b + 5c + 2b - (-4)c =
\frac{1}{3}x - \frac{4}{5}x + x =

Explanation:

Step1: Combine -f, -3f, 4f, -4f terms

$(-1 - 3+4 - 4)f=-4f$

Step2: Combine $g^2$ terms and $g^3$ terms

$(3 + 8)g^2+(7-1)g^3+g = 11g^2 + 6g^3+g$

Step3: Combine b terms and c terms

$(1 + 2)b+(5 + 4)c=3b + 9c$

Step4: Find common denominator for x terms

First, find common denominator of 3 and 5 which is 15. Then $\frac{1}{3}x-\frac{4}{5}x+x=\frac{5}{15}x-\frac{12}{15}x+\frac{15}{15}x=\frac{5 - 12 + 15}{15}x=\frac{8}{15}x$

Answer:

-4f
11g^2 + 6g^3+g
3b + 9c
$\frac{8}{15}x$