Algebraic Fractions (Grade 9) — Worksheet & Memo

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Grade 9 · Algebraic Expressions

Algebraic Fractions (Grade 9)

EXAM-STYLE CLASS TEST

Marks

Duration

45 minutes

Questions

Name:

Class:

Date:

Mark

/ 28

Instructions and Information

Answer ALL the questions in this question paper.
Answer QUESTION 1 by circling the letter (A–D) in the answer grid at the end of that section.
Show ALL calculations clearly.
Show all units where applicable.
Number the answers correctly according to the numbering system used in this question paper.
A non-programmable calculator may be used, unless stated otherwise.
Write neatly and legibly.

Question 1

[10 MARKS]

Four options are given as possible answers to the following questions. Choose the correct answer and circle the letter (A–D) in the grid at the end of this section. If you want to change your choice, put a cross through the wrong letter and circle your new choice.

1.1
Simplify: 12a⁵b²4a³b
(1)
A)3a²b
B)8a²b
C)3a⁸b³
D)3a²b²
1.2
Simplify: x² − 9x + 3
(1)
A)x − 9
B)x − 3
C)x + 3
D)x² − 3
1.3
2x + 3x = …
(1)
A)52x
B)5x
C)6x
D)5x²
1.4
12x + 13x = …
(1)
A)25x
B)56x
C)16x
D)26x
1.5
Simplify: 6x3
(1)
A)2x
B)3x
C)18x
D)2
1.6
ab × cd = …
(1)
A)adbc
B)acbd
C)a + cb + d
D)abcd
1.7
ab ÷ cd = …
(1)
A)acbd
B)adbc
C)a + db + c
D)bcad
1.8
For what value of x is 5x − 2 undefined?
(1)
A)5
B)2
C)0
D)−2
1.9
Simplify: 4x + 84
(1)
A)x + 8
B)x + 2
C)4x + 2
D)x
1.10
x3 − x4 = …
(1)
A)x12
B)0
C)2x7
D)7x12

Answer grid — circle your answers for Question 1

1.1	A	B	C	D
1.2	A	B	C	D
1.3	A	B	C	D
1.4	A	B	C	D
1.5	A	B	C	D
1.6	A	B	C	D
1.7	A	B	C	D
1.8	A	B	C	D
1.9	A	B	C	D
1.10	A	B	C	D

Question 2

[9 MARKS]

Simplify the following.

2.1
6x²y3xy³
(3)
2.2
x² + 3xx
(3)
2.3
2x3 × 94x²
(3)

Question 3

[9 MARKS]

Simplify the following. Show ALL your steps.

3.1
x4 ÷ x2
(3)
3.2
x2 + x3
(3)
3.3
Explain why you may NOT cancel the x in x² + 3xx before factorising.
(3)

TOTAL: 28 marks

This question paper consists of 3 questions.