Algebraic Language: Terms, Coefficients & Like Terms — Worksheet & Memo

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Grade 8 · Algebraic Expressions

Algebraic Language: Terms, Coefficients & Like Terms

EXAM-STYLE CLASS TEST

Marks

Duration

55 minutes

Questions

Name:

Class:

Date:

Mark

/ 36

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
How many TERMS are there in 5x² − 3x + 8?
(1)
A)1
B)3
C)2
D)4
1.2
The coefficient of x in 8 − x is …
(1)
A)1
B)−1
C)8
D)0
1.3
Which pair are LIKE terms?
(1)
A)3x and 3x²
B)5ab and −2ab
C)4x and 4y
D)2x² and 2y²
1.4
Simplify: 9m − 4m + 2m
(1)
A)15m
B)7m
C)3m
D)7m³
1.5
Simplify: 3x + 4x²
(1)
A)7x³
B)it cannot be simplified
C)7x²
D)12x³
1.6
The DEGREE of 5x³ − 2x + 7 is …
(1)
A)5
B)3
C)7
D)10
1.7
A rectangle has length 2x and breadth (x + 3). Its PERIMETER is …
(1)
A)2x² + 6x
B)6x + 6
C)3x + 3
D)2x² + 3
1.8
If x = 3, the value of 2x² is …
(1)
A)36
B)18
C)12
D)9
1.9
Simplify: 8 + 3k − 5 + k
(1)
A)7k
B)3 + 4k
C)4k + 13
D)7 + 4k
1.10
Which one of the following is a MONOMIAL?
(1)
A)x + 2
B)7ab
C)x² − 1
D)3x + 2y − 5

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

[15 MARKS]

Consider the expression 5x² − 3x + 8.

2.1
Write down the number of terms in the expression, and state its degree with a reason.
(3)
2.2
Write down the coefficient of x in 9x − 4, and the coefficient of x in 8 − x.
(3)
2.3
Write down the constant term in 2y + 7, and explain why 2y is NOT a constant.
(3)
2.4
Simplify: 11n − 6n + 2n − n²
(3)
2.5
Simplify: 5x + 3y + 2x − y
(3)

Question 3

[11 MARKS]

Answer the questions below.

3.1
Simplify: 4p² + 3p − 2p² + p
(3)
3.2
Simplify: 12 + 5k − 7 + 2k
(3)
3.3
Explain why 3x and 3x² are NOT like terms.
(2)
3.4
A rectangle has a length of 2x and a breadth of (x + 3). Write down a simplified expression for its perimeter.
(3)

TOTAL: 36 marks

This question paper consists of 3 questions.