Mae201M assignment 2

Question 1
1.1) - Algebraic is a branch of mathematics that deals with variables and
numbers for solving problems.
For example – a+b=b+a
- Arithmetic of mathematics, deals with the basic counting of numbers
and by using operations like addition, multiplication, division and
subtraction on them.
For example, = 3+7=7+3
- Algebraic thinking includes recognizing and analyzing patters, studying
and representing relationship, making generalizations and analyzing
how things change
For example – 5x² + 12 x y +13 y² + 2x² + 6xy -5y²
- Arithmetic is like 3,5,7,9 because, the difference between consecutive
terms is always two.
- Algebraic thinking - _____ = 4 + ______ is algebra task
- Arithmetic thinking – 15 +_____ = 40 is an arithmetic task
- Algebraic thinking involves deliberate generalization, active exploration
and conjecture and reasoning in terms of relationships and structure.
- Arithmetic example
-3 x 5 + 4 x 3 – 1 + 3 =

, 1.2.1) a
6 + (7 + 3) ²
= 6 + (10) ²
= 6 + 100
= 106


b)
6 + (x + 3) ²
= 6 + x² + 6x + 9
= 15 + x² + 6x
= x² + 6x + 15


c)
6 + (X + 3) ²
= 6 + (X + 3) ²
=0


d)
4 × x = means 4 times the x
X = 15 (15 on 4)
_______
4
4x – 15 = 0