Expanding & Simplifying Algebraic Expressions — Worksheet & Memo

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Grade 8 · Algebraic Expressions

Expanding & Simplifying Algebraic Expressions

EXAM-STYLE CLASS TEST

Marks

Duration

50 minutes

Questions

Name:

Class:

Date:

Mark

/ 31

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
5(x + 2) = …
(1)
A)5x + 2
B)5x + 10
C)x + 10
D)7x
1.2
3x(x + 5) = …
(1)
A)3x² + 5
B)3x² + 15x
C)3x + 15x
D)8x²
1.3
−2(x − 4) = …
(1)
A)−2x − 8
B)−2x + 8
C)2x − 8
D)−2x − 4
1.4
Simplify: 4(x + 2) − 3x
(1)
A)x + 8
B)7x + 8
C)x + 2
D)x + 6
1.5
(x + 3)(x + 2) = …
(1)
A)x² + 6
B)x² + 5x + 6
C)x² + 6x + 5
D)2x + 5
1.6
Divide: 12x³4x
(1)
A)3x³
B)3x²
C)8x²
D)3x⁴
1.7
Determine the value of 4a − b if a = 3 and b = 5.
(1)
A)17
B)7
C)−7
D)12
1.8
(x + 4)² = …
(1)
A)x² + 16
B)x² + 8x + 16
C)x² + 4x + 16
D)2x + 8
1.9
Simplify: 2(3x − 1) + 3(x + 4)
(1)
A)9x + 3
B)9x + 10
C)6x + 10
D)9x − 10
1.10
Which one of the following is EQUAL to 6x + 9?
(1)
A)3(2x + 9)
B)3(2x + 3)
C)6(x + 9)
D)3(2x + 6)

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]

Expand the following.

2.1
5(x + 2), and hence simplify 5(x + 2) − 3x
(3)
2.2
3x(x + 5), and hence simplify 3x(x + 5) + 2x²
(3)
2.3
−2(y − 4)
(3)

Question 3

[12 MARKS]

Expand and simplify the following.

3.1
3(x + 2) + 2(x + 1)
(3)
3.2
6 − 3(x − 2)
(3)
3.3
Simplify: (10x² + 5x) ÷ 5x
(3)
3.4
Determine the value of 5a − b if a = 4 and b = 7, and then its value if a = 4 and b = −7.
(3)

TOTAL: 31 marks

This question paper consists of 3 questions.