This document contains 5 questions about algebra, expressions, equations and geometry. Question 1 involves simplifying expressions, evaluating expressions given values for variables, and expanding and simplifying expressions. Question 2 expresses fractions in simplest form. Question 3 involves solving equations. Question 4 requires finding unknown values from information and angles given in diagrams of lines and triangles.

1. Q1: (a) Simplify the following expression.
i) 10x+20-6x-33
ii) 15pq-20xy+30pq-10xy
b) Given that x=5, y=2, evaluate the value of the following expression.
2x2 - 5y3
Q2: Expand and simplify the following expression.
a. 1 [4x+6(x-2)+10]
2
b. 5(2x-3y)-3(3x-4y)
Q3: Express each of the following as a fraction of simplest form.
(a) x + 2x-5
3 5
(b) 2y-4 + 3y-2
3 6
Q4: Solve the following equations.
a) 10x+6=2(4x-5)
b) 3x-4 =5
4

2. Q5: Given that AOB is a straight line, find the value of the unknown in the figure.
a) D C
75˚
A x 45˚ B
b) For the following figure, find the value of the unknown
65˚
x 50˚
125˚