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Mathletics Instant
Workbooks
Copyright ©
Mathletics Instant
Workbooks
Mathletics Instant
Workbooks
Student Book - Series J-2
Equations, Inequalities and Formulae
7(x - 8) = 6(x + 2)
Equations, inequalities and formulaeStudent Book - Series J 2
Contents
Topics
Topic 1 - Simple equations __/__/__ Date completed
Topic 2 - Equations with pronumerals on both sides __/__/__ Topic 3 - Equations with grouping symbols __/__/__ Topic 4 - Equations with fractions 1 __/__/__ Topic 5 - Equations with fractions 2 __/__/__ Topic 6 - Inequalities __/__/__
Topic 8 - Changing the subject of the formula __/__/__
Topic 7 - Formulae – finding the value of the subject __/__/__
Equations, inequalities and formulaeMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
Author of The Topics and Topic Tests: AS Kalra
Practice Tests
Topic 1 - Topic test A __/__/__ Topic 2 - Topic test B __/__/__
1
Equations, inequalities and formulae
Equations, inequalities and formulaeMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
Topic 1 - Simple equations
31Chapter 4: Equations, inequalities and formulae
Equations, inequalitiesand formulae
CHAPTER 4
UNIT 1: Simple equations
EXCEL YEARS 9 & 10 ADVANCED MATHS
Page 41
QUESTION 1 Solve the following equations.
a x + =3 7 ______________ b x − =2 8 ______________ c x − =9 5 ______________
d x + =5 9 ______________ e x + =1 10 ______________ f x + =16 7 _____________
g 2 13+ =x _____________ h 3 1= +x _______________ i 14 18= − x ____________
j y − =17 37 _____________ k m − =13 27 ____________ l 8 25− =a _____________
m 16 56− =a _____________ n 3 9− =p ______________ o 8 64+ =a _____________
p a + =4 2 9 8. . ____________ q − − =6 16m ____________ r x + =3 11 _____________
s y − =1 19 ______________ t 3 12− =y ______________ u p − =5 25 ____________
QUESTION 2 Solve the following equations.
a 6 24x = _______________ b 3 12x = _______________ c 2 14x = _______________
d 4 20x = _______________ e x
29=________________
fx
315=
_______________
gx
59=________________
h x
35= −
________________i x
28=
________________
j 2 20x = ______________ k 1
35x =________________
l 83
= x________________
m 27
= x
________________n m
54=
_________________o
x
65=
________________
QUESTION 3 Solve the following equations.
a 2
54
x =_______________
b3
215
x =_______________
c 4
320
x =______________
d 2 5 15x + = ____________ e 3 7 13x + = ____________ f 4 5 29x + = ____________
g 8 7 49x − = ____________ h 2 15 5x − = ____________ i 6 3 18− =m ___________
j 6 3 17y + = ____________ k 9 8 21y + = ____________ l 4 3 21p − = ____________
m2
35 15
x + =____________
n3
27 9
x − =_____________
o 4
515 45
x + =___________
2
Equations, inequalities and formulae
Equations, inequalities and formulaeMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
32 EXCEL ESSENTIAL SKILLS: YEAR 9 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Equations, inequalitiesand formulae
UNIT 2: Equations with pronumerals on both sides
EXCEL YEARS 9 & 10 ADVANCED MATHS
Page 41
QUESTION 1 Solve the following equations.
a 7 3 6 7x x− = + b 5 8 4 9x x− = + c 9 7 8 9x x− = +______________________ ______________________ ______________________
______________________ ______________________ ______________________
d 4 5 2 17x x+ = + e 7 11 5 19x x− = + f 6 1 4 7x x− = +______________________ ______________________ ______________________
______________________ ______________________ ______________________
g 5 6 3m m− = h 10 3 7 24x x+ = + i 20 7 10 13x x− = +______________________ ______________________ ______________________
______________________ ______________________ ______________________
j 33 64x x− = k 11 90x x− = l 5 8 3 84a a− = +______________________ ______________________ ______________________
______________________ ______________________ ______________________
QUESTION 2 Solve the following equations.
a 8 20 6 6x x+ = + b 3 7 19x x+ = + c 5 12 3m m+ = +______________________ ______________________ ______________________
______________________ ______________________ ______________________
d 7 7 5 5t t− = − e 4 11 3 16y y− = + f 8 2 6 14y y− = +
______________________ ______________________ ______________________
______________________ ______________________ ______________________
g 5 18 2a a= + h 5 32 3x x= − i 6 9 27m m= +______________________ ______________________ ______________________
______________________ ______________________ ______________________
j 8 5 23n n− = + k 7 18x x= + l 5 3 9 2x x+ = +______________________ ______________________ ______________________
______________________ ______________________ ______________________
m 16 3 4− = +m m n 7 10 5 12a a− = + o 9 11 5 21x x− = +______________________ ______________________ ______________________
______________________ ______________________ ______________________
Topic 2 - Equations with pronumerals on both sides
3
Equations, inequalities and formulae
Equations, inequalities and formulaeMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
33Chapter 4: Equations, inequalities and formulae
Equations, inequalitiesand formulae
UNIT 3: Equations with grouping symbols
EXCEL YEARS 9 & 10 ADVANCED MATHS
Page 41
QUESTION 1 Solve the following equations.
a 2 3 9a +( ) = b 3 4 36x +( ) = c 4 2 48x +( ) =
______________________ ______________________ ______________________
______________________ ______________________ ______________________
d 5 1 25x −( ) = e 3 3 2 33−( ) =x f 5 8 2 100−( ) =m
______________________ ______________________ ______________________
______________________ ______________________ ______________________
g 4 5 3 9x x−( ) = + h 2 4 3 7 6x x−( ) = − i 3 2 5 5 23x x−( ) = +
______________________ ______________________ ______________________
______________________ ______________________ ______________________
j 6 7 4 8x x−( ) = − k 9 6 2 2 1+ = +( )x x l 3 2 7 8 5x x−( ) = −
______________________ ______________________ ______________________
______________________ ______________________ ______________________
QUESTION 2 Solve the following equations.
a 4 3 3 2a a+( ) = +( ) b 5 2 4 1x x−( ) = −( ) c 5 3 4 2m m−( ) = +( )______________________ ______________________ ______________________
______________________ ______________________ ______________________
d 3 2 2 1y y+( ) = −( ) e 8 2 5 4 3 8t t+( ) = +( ) f 4 3 1 2 3 1x x−( ) = +( )______________________ ______________________ ______________________
______________________ ______________________ ______________________
g 6 3 2 5 2 9a a+( ) = +( ) h 3 4 6 4 2 1m m+( ) = −( ) i 5 3 1 2 2 1a a+( ) = −( )______________________ ______________________ ______________________
______________________ ______________________ ______________________
j 5 2 1 3 2+ +( ) = +( )a a k 3 2 1 3 2 8x x x+ +( ) + +( ) = l 7 6 9 5m m− −( ) =
______________________ ______________________ ______________________
______________________ ______________________ ______________________
Topic 3 - Equations with grouping symbols
4
Equations, inequalities and formulae
Equations, inequalities and formulaeMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
34 EXCEL ESSENTIAL SKILLS: YEAR 9 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Equations, inequalitiesand formulae
UNIT 4: Equations with fractions 1
EXCEL YEARS 9 & 10 ADVANCED MATHS
Page 41
QUESTION 1 Solve the following equations.
a x
21 5+ =
______________b
p
32 7− =
______________c y
56 3− =
______________
_______________________ _______________________ ______________________
da + =2
37______________
e 4 3
75
m + =_____________
f 2 9
35
x + =____________
_______________________ _______________________ ______________________
g 7 3
85
x − = −____________
h5 2
34
x − = −____________
i 9 3
66
+ =x____________
_______________________ _______________________ ______________________
j x
75 6+ =
______________k x
38 12− =
______________l
x
53 7+ =
______________
_______________________ _______________________ ______________________
m xx
53+ =
______________n m
m+ =5
3 _____________o m
m7
8+ =_____________
_______________________ _______________________ ______________________
QUESTION 2 Solve the following equations.
a 2
35 20
x + =______________
b 3
76 5
x − =_____________
c4
53 10
x − =____________
_______________________ _______________________ ______________________
d 510
x=
__________________e 8
4m
=_________________
f 3
46
x=________________
_______________________ _______________________ ______________________
g 5
65 3
xx− =_____________
h 2
34 3
xx+ =____________
i3
45 2
yy− =____________
_______________________ _______________________ ______________________
j 93
6− =y ________________
k 1
2 33
x +=
_____________l 3
12
x +=_______________
_______________________ _______________________ ______________________
Topic 4 - Equations with fractions 1
5
Equations, inequalities and formulae
Equations, inequalities and formulaeMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
35Chapter 4: Equations, inequalities and formulae
Equations, inequalitiesand formulae
UNIT 5: Equations with fractions 2
EXCEL YEARS 9 & 10 ADVANCED MATHS
Page 41
QUESTION 1 Solve the following equations.
ay y
2 31− =______________
bt t
3 47− =______________
cp p
2 48− =_____________
_______________________ _______________________ ______________________
dx x
4 52− =______________
e8
5
2
31
x x− =_____________
f5
3
2
49
p p+ =____________
_______________________ _______________________ ______________________
gn n
3 6
2
3+ =
______________h
y
5
2
5
7
10− =
_____________i
2
3
3
411
x x+ = −_________
_______________________ _______________________ ______________________
j3
2
5
4
5
2
x x+ =____________
k7
83
9
125
x x− = −_________
l5
3
3
5
4
15
x x+ =__________
_______________________ _______________________ ______________________
QUESTION 2 Solve the following equations.
aa a+ = +3
5
7
3 ____________b
2 9
3
3 5
4
m m+ = +________
ct t− = −1
3
4
2 ____________
_______________________ _______________________ ______________________
dx x x
2 3
2
53+ = +__________
ep p+ + + =3
2
5
36________
fx x+ + + =1
2
1
37________
_______________________ _______________________ ______________________
g8
24
2
x x= −
____________h
4
2
3
4x=
________________i
6
10
2
40
m m− − =_________
_______________________ _______________________ ______________________
jx x+ = −3
5
2 3
3 __________k
x x+ = −2
3
2
2 ___________l
x x
4 51− =______________
_______________________ _______________________ ______________________
m1 1
2
1
31
x x x+ + =
_________n
4 33
x
x
+ =_____________
o3 1
4 2
m m− =____________
_______________________ _______________________ ______________________
Topic 5 - Equations with fractions 2
6
Equations, inequalities and formulae
Equations, inequalities and formulaeMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
36 EXCEL ESSENTIAL SKILLS: YEAR 9 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Equations, inequalitiesand formulae
UNIT 6: Inequalities
EXCEL YEARS 9 & 10 ADVANCED MATHS
Page 42
QUESTION 1 Solve the following inequalities and graph the solutions on the number lines provided.
a x + <1 3 _________ b m + >5 7 _________ c t − <3 1 _________
d p + ≥5 2 _________ e y − ≤2 1 _________ f x + ≥4 6 _________
g 3 12x < _________ h 4 8p ≥ _________ i 6 12m < _________
jx
31≥ _________ k x
23< _________ l x
42≤ _________
QUESTION 2 Solve the following inequalities and graph the solutions on the number lines provided.
a 6 24x < _________ b 5 2 18x − < _________ c 3 1 5x − ≤ _________
d 3 2 5x − ≥ − _________ e 4 7 9x − ≤ _________ f 3 1 7t + ≥ _________
g 6 7 5y − < _________ h 3 2 12x +( ) ≥ _________ i 4 3 16x −( ) ≤ − _________
j 13 3 14− ≥ −x _________ k 8 5 15x x< + _________ l 7 5 9x − ≤ _________
mx
31 1− < _________ n y − >1
22 _________ o m m
3 21+ ≤ _________
Topic 6 - Inequalities
7
Equations, inequalities and formulae
Equations, inequalities and formulaeMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
37Chapter 4: Equations, inequalities and formulae
Equations, inequalitiesand formulae
UNIT 7: Formulae – finding the value of the subject
EXCEL YEARS 9 & 10 ADVANCED MATHS
Pages 44–45
QUESTION 1 Find the value of the pronumerals in capital letters.
a A bh b h= = =1
210 8 , when _______________ b P l b l b= +( ) = =2 10 7 , when ____________
c Sna l n a l= +( ) = = =
26 5 143 , , when ______ d S n n n= +( ) =1 12 when _________________
e Vabh
a b h= = = =3
4 6 8 , , when __________ f A l l= =2 10 when _____________________
g C d d= = =π π . , when 3 14 12 _____________ h P a b c a b c= + + = = = , ,when 3 4 5 _______
i F ma m a= = = , when 9 7 ________________ j E mv m v= = =1
26 52 , when _____________
k V u at u a t= + = = = , , when 8 6 5 _________ l C r r= = =2 3 14 14π π . , when ____________
m A r r= = =π π2 22
77 , when _______________ n V l l= =3 5 when ______________________
QUESTION 2 If P l b= +( )2 :
a Find P when l = 16 and b = 10. ___________________________________________________________
b Find l when P = 36 and b = 10. ___________________________________________________________
c Find b when P = 64 and l = 17. ___________________________________________________________
QUESTION 3 If V lbh= :
a Find V when l = 8, b = 6 and h = 4. _______________________________________________________
b Find l when V = 60, b = 4 and h = 3. ______________________________________________________
c Find b when V = 480, l = 10 and h = 8. ____________________________________________________
d Find h when V = 450, b = 5 and l = 10. ____________________________________________________
QUESTION 4 If A h x y= +( )12
:
a Find A when h = 12, x = 14 and y = 18. ____________________________________________________
b Find h when A = 40, x = 13 and y = 7. _____________________________________________________
c Find x when A = 64, h = 8 and y = 6. ______________________________________________________
d Find y when A = 132, h = 12 and x = 10. ___________________________________________________
Topic 7 - Formulae – finding the value of the subject
8
Equations, inequalities and formulae
Equations, inequalities and formulaeMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
38 EXCEL ESSENTIAL SKILLS: YEAR 9 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Equations, inequalitiesand formulae
UNIT 8: Changing the subject of the formula
EXCEL YEARS 9 & 10 ADVANCED MATHS
Pages 45–46
QUESTION 1 Make the letter indicated in the brackets the subject of the formula.
a F ma= [a] b V lbh= [h] c C d= π [d]_______________________ _______________________ ______________________
d P a b c= + + [c] e E mv= 1
22 [m] f v u at= + [a]
_______________________ _______________________ ______________________
g P l b= +( )2 [b] h A h x y= +( )1
2[h] i D ST= [T]
_______________________ _______________________ ______________________
j A bh= 1
2[h] k v u as2 2 2= + [s] l I
PRT=100
[T]
_______________________ _______________________ ______________________
m DM
V= [M] n S
na l= +( )
2[l] o y mx b= + [m]
_______________________ _______________________ ______________________
QUESTION 2 Make the letter indicated in the brackets the subject of the formula.
a Mk= 5
18[k] b C r= 2π [r] c V r h= 1
32π [h]
_______________________ _______________________ ______________________
d C ad= [d] e t a n d= + −( )1 [n] f PRT
V= [T]
_______________________ _______________________ ______________________
g V r= 4
33π [r] h V
R
R r=
−2
[R] i E mc= 2 [m]
_______________________ _______________________ ______________________
j V Ah= 1
3[A] k S
a
r=
−1[a] l v u as2 2 2= + [a]
_______________________ _______________________ ______________________
m Sa
r=
−1[r] n I A P= − [P] o V r h= π 2 [h]
_______________________ _______________________ ______________________
Topic 8 - Changing the subject of the formula
39Chapter 4: Equations, inequalities and formulae
Equations, inequalitiesand formulae
TOPIC TEST SECTION 1
1 If 7 3 81x − = , what is the value of x?
A78
7B 27 C 12 D 9
2 If 10 2 6x x− = , then x is equal to:
A − 1
2B
1
8C
1
2D 2
3 If 3 4y x− = , then x =
A 3 4y − B 4 3− y C − −3 4y D 3 4y +
4 The value of x that satisfies the equation 4 4 20x −( ) = is:
A 1 B 6 C 9 D 24
5 When mm+ =3
52
, the value of m is:
A 0 B 2 C 6 D 30
6 When 3 7 42a +( ) = , the value of a is:
A 5 B 6 C 7 D 8
7 If x + − =1
52 3 then x is equal to:
A 5 B 24 C 6 D 26
8 What is the solution of x − >1 0?
A x < 1 B x > −1 C x > 1 D x < −1
9 The solution of x + >4 3 is:
A x < 1 B x > 1 C x > −1 D x ≤ 1
10 The correct solution to the inequality − ≤2
54
x is:
A x ≤ 10 B x ≥ 10 C x ≥ −10 D x ≤ −10
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Equations, inequalities and formulaeInstructions for SECTION 1 • You have 15 minutes to answer Section 1
• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
39Chapter 4: Equations, inequalities and formulae
Equations, inequalitiesand formulae
TOPIC TEST SECTION 1
1 If 7 3 81x − = , what is the value of x?
A78
7B 27 C 12 D 9
2 If 10 2 6x x− = , then x is equal to:
A − 1
2B
1
8C
1
2D 2
3 If 3 4y x− = , then x =
A 3 4y − B 4 3− y C − −3 4y D 3 4y +
4 The value of x that satisfies the equation 4 4 20x −( ) = is:
A 1 B 6 C 9 D 24
5 When mm+ =3
52
, the value of m is:
A 0 B 2 C 6 D 30
6 When 3 7 42a +( ) = , the value of a is:
A 5 B 6 C 7 D 8
7 If x + − =1
52 3 then x is equal to:
A 5 B 24 C 6 D 26
8 What is the solution of x − >1 0?
A x < 1 B x > −1 C x > 1 D x < −1
9 The solution of x + >4 3 is:
A x < 1 B x > 1 C x > −1 D x ≤ 1
10 The correct solution to the inequality − ≤2
54
x is:
A x ≤ 10 B x ≥ 10 C x ≥ −10 D x ≤ −10
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Equations, inequalities and formulaeInstructions for SECTION 1 • You have 15 minutes to answer Section 1
• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
9Equations, inequalities and formulaeMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
Equations, inequalities and formulaeTopic Test PART A
Marks
Total marks achieved for PART A 10
Instructions This part consists of 10 multiple-choice questions Each question is worth 1 mark Attempt ALL questions Calculators are NOT to be used Fill in only ONE CIRCLE for each question
Time allowed: 15 minutes Total marks = 10
Instructions This part consists of 15 questions Each question is worth 1 mark Attempt ALL questions Calculators may be usedTime allowed: 20 minutes Total marks = 15
Questions Answers only
Total marks achieved for PART B 15
Marks
Equations, inequalities and formulaeTopic Test PART B
10Equations, inequalities and formulaeMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
40 EXCEL ESSENTIAL SKILLS: YEAR 9 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Equations, inequalitiesand formulae
TOPIC TEST SECTION 2
Marks
Total marks achieved for SECTION 230
Solve the following equations.
1 2 3 8x − = ___________________
2 3 8 5 2x x+ = + ___________________
3 3 7 1x x− = − ___________________
45 1
32
aa
− = + ___________________
5 2 5 3 3−( ) =x ___________________
62 3
34
yy
+ = ___________________
7x x x2 10
25
4+ = + ___________________
8 4 1 3 52+( ) =m ___________________
9 m m− = −( )6 2 7 ___________________
106 2
45
a + = ___________________
113 1
42
xx
− + = ___________________
12 2 3 1 7m m+ −( ) = ___________________
13 2 3 12x x+ = ___________________
14 3 1 4 8x x− + = ___________________
15x x x2 3 4
1+ + = ___________________
Questions Answers
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
Equations, inequalities and formulae
Instructions for SECTION 2 • You have 20 minutes to answer ALL of Section 2• Each question is worth 2 marks• Attempt ALL questions• Calculators may be used
40 EXCEL ESSENTIAL SKILLS: YEAR 9 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Equations, inequalitiesand formulae
TOPIC TEST SECTION 2
Marks
Total marks achieved for SECTION 230
Solve the following equations.
1 2 3 8x − = ___________________
2 3 8 5 2x x+ = + ___________________
3 3 7 1x x− = − ___________________
45 1
32
aa
− = + ___________________
5 2 5 3 3−( ) =x ___________________
62 3
34
yy
+ = ___________________
7x x x2 10
25
4+ = + ___________________
8 4 1 3 52+( ) =m ___________________
9 m m− = −( )6 2 7 ___________________
106 2
45
a + = ___________________
113 1
42
xx
− + = ___________________
12 2 3 1 7m m+ −( ) = ___________________
13 2 3 12x x+ = ___________________
14 3 1 4 8x x− + = ___________________
15x x x2 3 4
1+ + = ___________________
Questions Answers
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
Equations, inequalities and formulae
Instructions for SECTION 2 • You have 20 minutes to answer ALL of Section 2• Each question is worth 2 marks• Attempt ALL questions• Calculators may be used
39Chapter 4: Equations, inequalities and formulae
Equations, inequalitiesand formulae
TOPIC TEST SECTION 1
1 If 7 3 81x − = , what is the value of x?
A78
7B 27 C 12 D 9
2 If 10 2 6x x− = , then x is equal to:
A − 1
2B
1
8C
1
2D 2
3 If 3 4y x− = , then x =
A 3 4y − B 4 3− y C − −3 4y D 3 4y +
4 The value of x that satisfies the equation 4 4 20x −( ) = is:
A 1 B 6 C 9 D 24
5 When mm+ =3
52
, the value of m is:
A 0 B 2 C 6 D 30
6 When 3 7 42a +( ) = , the value of a is:
A 5 B 6 C 7 D 8
7 If x + − =1
52 3 then x is equal to:
A 5 B 24 C 6 D 26
8 What is the solution of x − >1 0?
A x < 1 B x > −1 C x > 1 D x < −1
9 The solution of x + >4 3 is:
A x < 1 B x > 1 C x > −1 D x ≤ 1
10 The correct solution to the inequality − ≤2
54
x is:
A x ≤ 10 B x ≥ 10 C x ≥ −10 D x ≤ −10
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Equations, inequalities and formulaeInstructions for SECTION 1 • You have 15 minutes to answer Section 1
• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
39Chapter 4: Equations, inequalities and formulae
Equations, inequalitiesand formulae
TOPIC TEST SECTION 1
1 If 7 3 81x − = , what is the value of x?
A78
7B 27 C 12 D 9
2 If 10 2 6x x− = , then x is equal to:
A − 1
2B
1
8C
1
2D 2
3 If 3 4y x− = , then x =
A 3 4y − B 4 3− y C − −3 4y D 3 4y +
4 The value of x that satisfies the equation 4 4 20x −( ) = is:
A 1 B 6 C 9 D 24
5 When mm+ =3
52
, the value of m is:
A 0 B 2 C 6 D 30
6 When 3 7 42a +( ) = , the value of a is:
A 5 B 6 C 7 D 8
7 If x + − =1
52 3 then x is equal to:
A 5 B 24 C 6 D 26
8 What is the solution of x − >1 0?
A x < 1 B x > −1 C x > 1 D x < −1
9 The solution of x + >4 3 is:
A x < 1 B x > 1 C x > −1 D x ≤ 1
10 The correct solution to the inequality − ≤2
54
x is:
A x ≤ 10 B x ≥ 10 C x ≥ −10 D x ≤ −10
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Equations, inequalities and formulaeInstructions for SECTION 1 • You have 15 minutes to answer Section 1
• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
39Chapter 4: Equations, inequalities and formulae
Equations, inequalitiesand formulae
TOPIC TEST SECTION 1
1 If 7 3 81x − = , what is the value of x?
A78
7B 27 C 12 D 9
2 If 10 2 6x x− = , then x is equal to:
A − 1
2B
1
8C
1
2D 2
3 If 3 4y x− = , then x =
A 3 4y − B 4 3− y C − −3 4y D 3 4y +
4 The value of x that satisfies the equation 4 4 20x −( ) = is:
A 1 B 6 C 9 D 24
5 When mm+ =3
52
, the value of m is:
A 0 B 2 C 6 D 30
6 When 3 7 42a +( ) = , the value of a is:
A 5 B 6 C 7 D 8
7 If x + − =1
52 3 then x is equal to:
A 5 B 24 C 6 D 26
8 What is the solution of x − >1 0?
A x < 1 B x > −1 C x > 1 D x < −1
9 The solution of x + >4 3 is:
A x < 1 B x > 1 C x > −1 D x ≤ 1
10 The correct solution to the inequality − ≤2
54
x is:
A x ≤ 10 B x ≥ 10 C x ≥ −10 D x ≤ −10
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Equations, inequalities and formulaeInstructions for SECTION 1 • You have 15 minutes to answer Section 1
• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
39Chapter 4: Equations, inequalities and formulae
Equations, inequalitiesand formulae
TOPIC TEST SECTION 1
1 If 7 3 81x − = , what is the value of x?
A78
7B 27 C 12 D 9
2 If 10 2 6x x− = , then x is equal to:
A − 1
2B
1
8C
1
2D 2
3 If 3 4y x− = , then x =
A 3 4y − B 4 3− y C − −3 4y D 3 4y +
4 The value of x that satisfies the equation 4 4 20x −( ) = is:
A 1 B 6 C 9 D 24
5 When mm+ =3
52
, the value of m is:
A 0 B 2 C 6 D 30
6 When 3 7 42a +( ) = , the value of a is:
A 5 B 6 C 7 D 8
7 If x + − =1
52 3 then x is equal to:
A 5 B 24 C 6 D 26
8 What is the solution of x − >1 0?
A x < 1 B x > −1 C x > 1 D x < −1
9 The solution of x + >4 3 is:
A x < 1 B x > 1 C x > −1 D x ≤ 1
10 The correct solution to the inequality − ≤2
54
x is:
A x ≤ 10 B x ≥ 10 C x ≥ −10 D x ≤ −10
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Equations, inequalities and formulaeInstructions for SECTION 1 • You have 15 minutes to answer Section 1
• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
39Chapter 4: Equations, inequalities and formulae
Equations, inequalitiesand formulae
TOPIC TEST SECTION 1
1 If 7 3 81x − = , what is the value of x?
A78
7B 27 C 12 D 9
2 If 10 2 6x x− = , then x is equal to:
A − 1
2B
1
8C
1
2D 2
3 If 3 4y x− = , then x =
A 3 4y − B 4 3− y C − −3 4y D 3 4y +
4 The value of x that satisfies the equation 4 4 20x −( ) = is:
A 1 B 6 C 9 D 24
5 When mm+ =3
52
, the value of m is:
A 0 B 2 C 6 D 30
6 When 3 7 42a +( ) = , the value of a is:
A 5 B 6 C 7 D 8
7 If x + − =1
52 3 then x is equal to:
A 5 B 24 C 6 D 26
8 What is the solution of x − >1 0?
A x < 1 B x > −1 C x > 1 D x < −1
9 The solution of x + >4 3 is:
A x < 1 B x > 1 C x > −1 D x ≤ 1
10 The correct solution to the inequality − ≤2
54
x is:
A x ≤ 10 B x ≥ 10 C x ≥ −10 D x ≤ −10
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Equations, inequalities and formulaeInstructions for SECTION 1 • You have 15 minutes to answer Section 1
• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
39Chapter 4: Equations, inequalities and formulae
Equations, inequalitiesand formulae
TOPIC TEST SECTION 1
1 If 7 3 81x − = , what is the value of x?
A78
7B 27 C 12 D 9
2 If 10 2 6x x− = , then x is equal to:
A − 1
2B
1
8C
1
2D 2
3 If 3 4y x− = , then x =
A 3 4y − B 4 3− y C − −3 4y D 3 4y +
4 The value of x that satisfies the equation 4 4 20x −( ) = is:
A 1 B 6 C 9 D 24
5 When mm+ =3
52
, the value of m is:
A 0 B 2 C 6 D 30
6 When 3 7 42a +( ) = , the value of a is:
A 5 B 6 C 7 D 8
7 If x + − =1
52 3 then x is equal to:
A 5 B 24 C 6 D 26
8 What is the solution of x − >1 0?
A x < 1 B x > −1 C x > 1 D x < −1
9 The solution of x + >4 3 is:
A x < 1 B x > 1 C x > −1 D x ≤ 1
10 The correct solution to the inequality − ≤2
54
x is:
A x ≤ 10 B x ≥ 10 C x ≥ −10 D x ≤ −10
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Equations, inequalities and formulaeInstructions for SECTION 1 • You have 15 minutes to answer Section 1
• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
39Chapter 4: Equations, inequalities and formulae
Equations, inequalitiesand formulae
TOPIC TEST SECTION 1
1 If 7 3 81x − = , what is the value of x?
A78
7B 27 C 12 D 9
2 If 10 2 6x x− = , then x is equal to:
A − 1
2B
1
8C
1
2D 2
3 If 3 4y x− = , then x =
A 3 4y − B 4 3− y C − −3 4y D 3 4y +
4 The value of x that satisfies the equation 4 4 20x −( ) = is:
A 1 B 6 C 9 D 24
5 When mm+ =3
52
, the value of m is:
A 0 B 2 C 6 D 30
6 When 3 7 42a +( ) = , the value of a is:
A 5 B 6 C 7 D 8
7 If x + − =1
52 3 then x is equal to:
A 5 B 24 C 6 D 26
8 What is the solution of x − >1 0?
A x < 1 B x > −1 C x > 1 D x < −1
9 The solution of x + >4 3 is:
A x < 1 B x > 1 C x > −1 D x ≤ 1
10 The correct solution to the inequality − ≤2
54
x is:
A x ≤ 10 B x ≥ 10 C x ≥ −10 D x ≤ −10
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Equations, inequalities and formulaeInstructions for SECTION 1 • You have 15 minutes to answer Section 1
• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
39Chapter 4: Equations, inequalities and formulae
Equations, inequalitiesand formulae
TOPIC TEST SECTION 1
1 If 7 3 81x − = , what is the value of x?
A78
7B 27 C 12 D 9
2 If 10 2 6x x− = , then x is equal to:
A − 1
2B
1
8C
1
2D 2
3 If 3 4y x− = , then x =
A 3 4y − B 4 3− y C − −3 4y D 3 4y +
4 The value of x that satisfies the equation 4 4 20x −( ) = is:
A 1 B 6 C 9 D 24
5 When mm+ =3
52
, the value of m is:
A 0 B 2 C 6 D 30
6 When 3 7 42a +( ) = , the value of a is:
A 5 B 6 C 7 D 8
7 If x + − =1
52 3 then x is equal to:
A 5 B 24 C 6 D 26
8 What is the solution of x − >1 0?
A x < 1 B x > −1 C x > 1 D x < −1
9 The solution of x + >4 3 is:
A x < 1 B x > 1 C x > −1 D x ≤ 1
10 The correct solution to the inequality − ≤2
54
x is:
A x ≤ 10 B x ≥ 10 C x ≥ −10 D x ≤ −10
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Equations, inequalities and formulaeInstructions for SECTION 1 • You have 15 minutes to answer Section 1
• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
39Chapter 4: Equations, inequalities and formulae
Equations, inequalitiesand formulae
TOPIC TEST SECTION 1
1 If 7 3 81x − = , what is the value of x?
A78
7B 27 C 12 D 9
2 If 10 2 6x x− = , then x is equal to:
A − 1
2B
1
8C
1
2D 2
3 If 3 4y x− = , then x =
A 3 4y − B 4 3− y C − −3 4y D 3 4y +
4 The value of x that satisfies the equation 4 4 20x −( ) = is:
A 1 B 6 C 9 D 24
5 When mm+ =3
52
, the value of m is:
A 0 B 2 C 6 D 30
6 When 3 7 42a +( ) = , the value of a is:
A 5 B 6 C 7 D 8
7 If x + − =1
52 3 then x is equal to:
A 5 B 24 C 6 D 26
8 What is the solution of x − >1 0?
A x < 1 B x > −1 C x > 1 D x < −1
9 The solution of x + >4 3 is:
A x < 1 B x > 1 C x > −1 D x ≤ 1
10 The correct solution to the inequality − ≤2
54
x is:
A x ≤ 10 B x ≥ 10 C x ≥ −10 D x ≤ −10
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Equations, inequalities and formulaeInstructions for SECTION 1 • You have 15 minutes to answer Section 1
• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
39Chapter 4: Equations, inequalities and formulae
Equations, inequalitiesand formulae
TOPIC TEST SECTION 1
1 If 7 3 81x − = , what is the value of x?
A78
7B 27 C 12 D 9
2 If 10 2 6x x− = , then x is equal to:
A − 1
2B
1
8C
1
2D 2
3 If 3 4y x− = , then x =
A 3 4y − B 4 3− y C − −3 4y D 3 4y +
4 The value of x that satisfies the equation 4 4 20x −( ) = is:
A 1 B 6 C 9 D 24
5 When mm+ =3
52
, the value of m is:
A 0 B 2 C 6 D 30
6 When 3 7 42a +( ) = , the value of a is:
A 5 B 6 C 7 D 8
7 If x + − =1
52 3 then x is equal to:
A 5 B 24 C 6 D 26
8 What is the solution of x − >1 0?
A x < 1 B x > −1 C x > 1 D x < −1
9 The solution of x + >4 3 is:
A x < 1 B x > 1 C x > −1 D x ≤ 1
10 The correct solution to the inequality − ≤2
54
x is:
A x ≤ 10 B x ≥ 10 C x ≥ −10 D x ≤ −10
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Equations, inequalities and formulaeInstructions for SECTION 1 • You have 15 minutes to answer Section 1
• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
39Chapter 4: Equations, inequalities and formulae
Equations, inequalitiesand formulae
TOPIC TEST SECTION 1
1 If 7 3 81x − = , what is the value of x?
A78
7B 27 C 12 D 9
2 If 10 2 6x x− = , then x is equal to:
A − 1
2B
1
8C
1
2D 2
3 If 3 4y x− = , then x =
A 3 4y − B 4 3− y C − −3 4y D 3 4y +
4 The value of x that satisfies the equation 4 4 20x −( ) = is:
A 1 B 6 C 9 D 24
5 When mm+ =3
52
, the value of m is:
A 0 B 2 C 6 D 30
6 When 3 7 42a +( ) = , the value of a is:
A 5 B 6 C 7 D 8
7 If x + − =1
52 3 then x is equal to:
A 5 B 24 C 6 D 26
8 What is the solution of x − >1 0?
A x < 1 B x > −1 C x > 1 D x < −1
9 The solution of x + >4 3 is:
A x < 1 B x > 1 C x > −1 D x ≤ 1
10 The correct solution to the inequality − ≤2
54
x is:
A x ≤ 10 B x ≥ 10 C x ≥ −10 D x ≤ −10
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Equations, inequalities and formulaeInstructions for SECTION 1 • You have 15 minutes to answer Section 1
• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
39Chapter 4: Equations, inequalities and formulae
Equations, inequalitiesand formulae
TOPIC TEST SECTION 1
1 If 7 3 81x − = , what is the value of x?
A78
7B 27 C 12 D 9
2 If 10 2 6x x− = , then x is equal to:
A − 1
2B
1
8C
1
2D 2
3 If 3 4y x− = , then x =
A 3 4y − B 4 3− y C − −3 4y D 3 4y +
4 The value of x that satisfies the equation 4 4 20x −( ) = is:
A 1 B 6 C 9 D 24
5 When mm+ =3
52
, the value of m is:
A 0 B 2 C 6 D 30
6 When 3 7 42a +( ) = , the value of a is:
A 5 B 6 C 7 D 8
7 If x + − =1
52 3 then x is equal to:
A 5 B 24 C 6 D 26
8 What is the solution of x − >1 0?
A x < 1 B x > −1 C x > 1 D x < −1
9 The solution of x + >4 3 is:
A x < 1 B x > 1 C x > −1 D x ≤ 1
10 The correct solution to the inequality − ≤2
54
x is:
A x ≤ 10 B x ≥ 10 C x ≥ −10 D x ≤ −10
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Equations, inequalities and formulaeInstructions for SECTION 1 • You have 15 minutes to answer Section 1
• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
39Chapter 4: Equations, inequalities and formulae
Equations, inequalitiesand formulae
TOPIC TEST SECTION 1
1 If 7 3 81x − = , what is the value of x?
A78
7B 27 C 12 D 9
2 If 10 2 6x x− = , then x is equal to:
A − 1
2B
1
8C
1
2D 2
3 If 3 4y x− = , then x =
A 3 4y − B 4 3− y C − −3 4y D 3 4y +
4 The value of x that satisfies the equation 4 4 20x −( ) = is:
A 1 B 6 C 9 D 24
5 When mm+ =3
52
, the value of m is:
A 0 B 2 C 6 D 30
6 When 3 7 42a +( ) = , the value of a is:
A 5 B 6 C 7 D 8
7 If x + − =1
52 3 then x is equal to:
A 5 B 24 C 6 D 26
8 What is the solution of x − >1 0?
A x < 1 B x > −1 C x > 1 D x < −1
9 The solution of x + >4 3 is:
A x < 1 B x > 1 C x > −1 D x ≤ 1
10 The correct solution to the inequality − ≤2
54
x is:
A x ≤ 10 B x ≥ 10 C x ≥ −10 D x ≤ −10
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Equations, inequalities and formulaeInstructions for SECTION 1 • You have 15 minutes to answer Section 1
• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
39Chapter 4: Equations, inequalities and formulae
Equations, inequalitiesand formulae
TOPIC TEST SECTION 1
1 If 7 3 81x − = , what is the value of x?
A78
7B 27 C 12 D 9
2 If 10 2 6x x− = , then x is equal to:
A − 1
2B
1
8C
1
2D 2
3 If 3 4y x− = , then x =
A 3 4y − B 4 3− y C − −3 4y D 3 4y +
4 The value of x that satisfies the equation 4 4 20x −( ) = is:
A 1 B 6 C 9 D 24
5 When mm+ =3
52
, the value of m is:
A 0 B 2 C 6 D 30
6 When 3 7 42a +( ) = , the value of a is:
A 5 B 6 C 7 D 8
7 If x + − =1
52 3 then x is equal to:
A 5 B 24 C 6 D 26
8 What is the solution of x − >1 0?
A x < 1 B x > −1 C x > 1 D x < −1
9 The solution of x + >4 3 is:
A x < 1 B x > 1 C x > −1 D x ≤ 1
10 The correct solution to the inequality − ≤2
54
x is:
A x ≤ 10 B x ≥ 10 C x ≥ −10 D x ≤ −10
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Equations, inequalities and formulaeInstructions for SECTION 1 • You have 15 minutes to answer Section 1
• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
39Chapter 4: Equations, inequalities and formulae
Equations, inequalitiesand formulae
TOPIC TEST SECTION 1
1 If 7 3 81x − = , what is the value of x?
A78
7B 27 C 12 D 9
2 If 10 2 6x x− = , then x is equal to:
A − 1
2B
1
8C
1
2D 2
3 If 3 4y x− = , then x =
A 3 4y − B 4 3− y C − −3 4y D 3 4y +
4 The value of x that satisfies the equation 4 4 20x −( ) = is:
A 1 B 6 C 9 D 24
5 When mm+ =3
52
, the value of m is:
A 0 B 2 C 6 D 30
6 When 3 7 42a +( ) = , the value of a is:
A 5 B 6 C 7 D 8
7 If x + − =1
52 3 then x is equal to:
A 5 B 24 C 6 D 26
8 What is the solution of x − >1 0?
A x < 1 B x > −1 C x > 1 D x < −1
9 The solution of x + >4 3 is:
A x < 1 B x > 1 C x > −1 D x ≤ 1
10 The correct solution to the inequality − ≤2
54
x is:
A x ≤ 10 B x ≥ 10 C x ≥ −10 D x ≤ −10
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Equations, inequalities and formulaeInstructions for SECTION 1 • You have 15 minutes to answer Section 1
• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question