Solving Linear Equations: Every Type in the Exam — Worksheet & Memo

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Grade 9 · Equations

Solving Linear Equations: Every Type in the Exam

EXAM-STYLE CLASS TEST

Marks

Duration

45 minutes

Questions

Name:

Class:

Date:

Mark

/ 30

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
Solve for x: 3x − 7 = 14
(1)
A)2,33
B)7
C)21
D)−7
1.2
Solve for x: 2(x + 3) = 16
(1)
A)11
B)5
C)8
D)13
1.3
Solve for x: 5x − 3 = 2x + 12
(1)
A)3
B)5
C)15
D)1,8
1.4
Solve for x: x4 = 6
(1)
A)1,5
B)24
C)10
D)2
1.5
Solve for x: −2x = 10
(1)
A)5
B)−5
C)−20
D)8
1.6
When a term is moved across the equals sign, its …
(1)
A)value doubles
B)SIGN changes
C)value halves
D)sign stays the same
1.7
Three consecutive integers add up to 39. The SMALLEST is …
(1)
A)12
B)13
C)11
D)39
1.8
Solve for x: 2x + 13 = 5
(1)
A)7
B)8
C)2
D)16
1.9
A number is doubled and 7 is added, giving 31. The number is …
(1)
A)19
B)12
C)24
D)38
1.10
If 4x = 0, then x = …
(1)
A)4
B)0
C)undefined
D)−4

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

[10 MARKS]

Solve for x. Show ALL your steps.

2.1
6x − 5 = 2x + 11
(3)
2.2
5(x − 3) = 2(x + 3)
(4)
2.3
10 − 3x = 1
(3)

Question 3

[10 MARKS]

Solve for x, and then answer the word problem.

3.1
x3 + 2 = 5
(3)
3.2
12 − 5x = 2x − 2
(3)
3.3
The sum of three consecutive whole numbers is 51. Set up an equation and determine the three numbers.
(4)

TOTAL: 30 marks

This question paper consists of 3 questions.