Ichthus Secondary School (South)
CLASS TEST 3.1 – Quadratic Equations and
Algebraic Fractions
2021 – 2022
Name
Class
Subject
Date
: Audrey
: Grade 8
: Mathematics
: 09/08/2022
Highest
Possible
Score
Passing
Score
50
30
YOUR
SCORE
!!FOLLOW INSTRUCTIONS!!
INSTRUCTIONS:
1. Answer the following questions.
2. You MUST write your workings on a paper.
3. Show COMPLETE workings, meaning the teacher should see the step-by-step procedure.
4. You MUST BOX your final answers.
5. Take a photo of your working.
6. You MUST insert a photo of your working. Make sure it’s big enough to read. Rotate if necessary.
7. Make sure that the photo BELOW THE GIVEN PROBLEM is the correct working.
8. You are not allowed to insert one photo containing all working for all problems,
UNLESS, you re-write ALL the given problem before each working.
- GIVEN PROBLEMS ARE ON THE NEXT PAGE -
1
1. Preform the following to the given quadratic equation below:
x2 + 6x + 8 = 0
a. Graph
You MUST write the following that will serve as your working:
a.1 vertex
[9]
a.2 axis of symmetry
a.3 table of values
b. Solve by factoring.
[4]
c. Solve by completing the square.
[8]
2
d. Solve by quadratic formula.
[4]
2. Simplify the following algebraic fractions.
2
a.
4
[2]
2𝑥 𝑦𝑧
5 3
4𝑥𝑦 𝑧
2
b.
[5]
𝑥 + 9𝑥 + 18
2
2𝑥 + 15𝑥 + 18
3
c.
2𝑥+10
3𝑥−12
d.
𝑥
3𝑥 + 1
2
×
+
𝑥 + 3𝑥− 28
2
𝑥 + 5𝑥− 24
2
÷
6𝑥
2
3𝑥 − 5𝑥− 2
[10]
𝑥 +12𝑥+35
6𝑥−18
−
5𝑥
𝑥−2
[8]
4
-End of Paper-
5