Page 10 - Algebra

Explanation
1. Let the number of balls with Bianca be x.
Number of balls with Greg = x + 20
Number of balls with Ron = x + x + 20 + 5 = 2x + 25
2. Put x = 1 in 2x(6x – 1), 2
11
=2× (6× -1)
22
=1 (3 – 1) =2
3. 2c(3c2 –5c+2)and4(c3 +3c2 –5c)
When adding two algebraic expressions, simplify and combine the like terms. 2c(3c2 –5c+2)=6c3 –10c2 +4c
4(c3 +3c2 –5c)=4c3 +12c2 –20c
The like terms are 6c3 and 4c3, – 10c2 and 12c2, 4c and –20c
Add the like terms
10c3 + 2c2 – 16c
4. Let the length of the plot of the sunflower be x meter. Length of the plot of the roses = (x + 5) meters
The area of the sunflower plot = x2
The area of the rose plot = (x + 5)2 = x2 + 10x + 25 Required expression = (x2 +10x + 25) – x2 = 10x + 25
5. 3m + 4n – 9 – Expression = –5m + 2n + 8? Expression = 3m + 4n – 9 – (–5m + 2n + 8)
Expression = 3m + 4n – 9 + 5m – 2n – 8 Expression = 8m + 2n – 17
Page 9 of 177
Algebra I & II