Week 7 Advanced Math Quiz
a.
1. Use circle theorems to find the missing angles and/or lengths
b.
2. Factorise the following by completing the square
a. x 2 + 8x + 9
b. x 2 − 6x − 4
3. Factorise the following by using “two and two” factorising
a. 2x 2 − 5x − 3
b. 10x 2 + 31x + 15
c.
c. x 2 − 8x + 2
c. 6x 2 + x − 2 = 0
4. Simplify the following fractions
a.
𝑥 2 +6𝑥+8
𝑥 2 +9𝑥+20
b.
𝑥 2 +4𝑥+4
𝑥 2 +3𝑥−28
×
𝑥 2 +10𝑥+21
𝑥 2 +10𝑥+16
5. Prove the following shape is a parallelogram
c.
2𝑥 3 +17𝑥+21
3𝑥 2 +26𝑥+35