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Mathlecs Instant Workbooks Copyright © Mathlecs Instant Workbooks Mathlecs Instant Workbooks S tu d e n t B o o k - S e rie s J- 2 Equations, Inequalities and Formulae 7(x - 8) = 6(x + 2)

Equations, Inequalities and Formulae

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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