1. ALGEBRA MODELLING
ACTIVITY ONE

2. y = number of counters in a container

3. The language of algebray
pronumeral
or variable
We can use any letter of the alphabet for a pronumeral or variable.
term 4y
Coefficient is 4
y + 1
Expression with 2 terms.
Constant term is 1
y + 1 = 3
equation

4. y + y + y + y = 4y 4 lots of y 4 times y 4y 4  y y  4 y + y + y + y
short notation
long notation
y + y + y + y = 4y

5. 3(y + 2) = 3y + 6 3 lots of (y + 2) 3  (y + 2) y + 2 + 2y + 4
long notation
short notation
3(y + 2) = 3y + 6

6. 2y y + 3
+ 2y y + 3
4(2y + 3) = 8y + 12

7. constant variable 2y + 3 What does the coefficient of y represent?
What does the constant represent?

8. variable constant y = 15 y = 15 y + 4 = 15 + 4 = 19 3y = 315 = 45
= 15
y + 4 =
= 19 3y
= 315
= 45
3 + y =
= 18
variable
constant

10. Find the value of:
3(2x + 4) when x = 5

11. The Distributive Law
Expand the following:
2(3a  3)
4(5x + 7)  2x
7x (2x + 3y) + 2x (x  4y)

12. Complete Activity Sheet One

13. Question 1 y 1 5 3 4 7 2 6 9 8 11 12 10 13 15 18 14 17 21 16 19 24 27 20 23

14. Question 2

15. Question 3
y =
3y =
6y =
y + 3 =
2y + 3 =
2(y + 3) =
2(3y)=
2y + 3 =

16. Question 4 x + x x + x + 4 y + y + 3 4 + y + 1 y + 2 + y + 1 + y

17. Question 5 Long notation Short notation x + x + x x + x + x + 2
y + y + y + 2
2 + y + 1
y y + 1
1 + x + x x
y y y + 2
x x x x + 1