Algebra Quiz #1
Question 1
Simplify
(b) 2x4y2 + 8xy2 – 4x3y
Solutions:
(a)
(b)
2x4y2 + 8xy2 – 4x3y
Note: Only like terms can be added and or subtracted, there are no like terms in the Algebraic expression above.
Question 2
(a) Given m = 4, n = -3
Calculate, (3m + n) (2m – 2)
(b) x*y = 4x – 3y
Find 6*4
Solutions:
(a)
(3m + n) (2m – 2)
= (3 (4) + (-3) ) (2 (4) – 2)
= (12 – 3) (8 – 2)
= (9) (6)
= 54
(b)
6*4 = 4x – 3y
= 4(6) – 3(4)
= 24 – 12
= 12
Question 3
Factorize Completely
(a) 16p + 2q
(b) 169a2 – 13a
Solutions:
(a)
16p + 2q = 2(8p + q)
(b)
169a2 – 13a = 13a(13a – 1)
Question 4
Simplify:
(a) (53)2
(b) b1/4
Solutions:
(a)
(53)2 = 5 3 x 2
= 5 6
(b)
Question 5
Solve the Simultaneous equations:
5y + 6x = 28
2y + 3x = 13
Solution:
5y + 6x = 28 ——> Eq. 1
2y + 3x = 13 ——> Eq. 2
Multiply Eq. 2 by 2.
2(2y + 3x = 13)
4y + 6x = 26 ——> New Eq. 2
Eq.1 – New Eq.2
5y – 4y + 6x – 6x = 28 – 26
y = 2
Substitute 2 for y in Eq.1
5y + 6x = 28
5(2) + 6x = 28
10 + 6x = 28
6x = 28 – 10
6x = 18
x = 3
That is, x = 3 and y = 2