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Student Book - Series K-2
Quadratic Equations
Mathletics Instant
Workbooks
(x + 3)(x – 3) = 0
Quadratic equationsStudent Book - Series K 2
Contents
Topics
Topic 1 - Equations already in factorised form __/__/__ Date completed
Topic 2 - Equations involving the difference between two squares __/__/__ Topic 3 - Equations involving a common __/__/__ Topic 4 - Factorising a quadratic trinomial __/__/__ Topic 5 - Completing the square __/__/__ Topic 6 - The quadratic formula __/__/__
Topic 8 - Using quadratic equations to solve problems __/__/__
Topic 7 - Mixed quadratic equations __/__/__
Topic 9 - Simultaneous equations resulting in a quadratic __/__/__
Quadratic equationsMathletics Instant Workbooks – Series K 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
Quadratic equations
Quadratic equationsMathletics Instant Workbooks – Series K 2 Copyright © 3P Learning
Topic 1 - Equations already in factorised form
10 EXCEL ESSENTIAL SKILLS: YEAR 10 MATHS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Quadratic equationsCHAPTER 2
UNIT 1: Equations already in factorised form
EXCEL YEARS 9 & 10 ADVANCED MATHS
Page 56
QUESTION 2 Solve the following quadratic equations.
a x x−( ) −( ) =3 7 0 b x x+( ) −( ) =1 6 0 c 3 2 1 0x x−( ) +( ) =
______________________ ______________________ ______________________
d x x +( ) =8 0 e 5 2 1 0x x −( ) = f 3 2 0x x −( ) =
______________________ ______________________ ______________________
g x x+( ) +( ) =2 3 0 h 4 2 5 0x x −( ) = i − −( ) =2 1 0x x
______________________ ______________________ ______________________
j 3 1 0x x+( ) = k x −( ) =3 02 l 3 3 0x x −( ) =
______________________ ______________________ ______________________
QUESTION 3 Solve the following equations.
a x x−( ) −( ) =4 5 0 b x x−( ) +( ) =8 8 0 c x x −( ) =3 0
______________________ ______________________ ______________________
d 2 1 4 0x x−( ) +( ) = e 2 3 2 3 0x x+( ) −( ) = f 2 2 0x x −( ) =
______________________ ______________________ ______________________
g x x−( ) −( ) =7 9 0 h 4 5 5 4 0x x+( ) −( ) = i x x+( ) −( ) =1 5 0
______________________ ______________________ ______________________
QUESTION 1 Solve the following quadratic equations that are already expressed in factorised form.
a x x−( ) −( ) =1 2 0 b x x−( ) +( ) =2 3 0 c x x−( ) −( )1 3 = 0
______________________ ______________________ ______________________
d x x +( ) =5 0 e 2 4 0x x −( ) = f x x2 1 0−( ) =______________________ ______________________ ______________________
g x x−( ) −( ) =3 5 0 h x x+( ) −( ) =1 3 0 i x x+( ) −( ) =2 4 0
______________________ ______________________ ______________________
j x x+( ) −( ) =3 3 0 k x x−( ) +( ) =2 2 0 l x x−( ) +( ) =5 5 0
______________________ ______________________ ______________________
m x x+( ) −( ) =6 2 1 0 n x x+( ) −( ) =3 3 1 0 o x x−( ) −( ) =2 3 1 0
______________________ ______________________ ______________________
2
Quadratic equations
Quadratic equationsMathletics Instant Workbooks – Series K 2 Copyright © 3P Learning
11Chapter 2: Quadratic equations
Quadratic equationsUNIT 2: Equations involving the difference between two squares
EXCEL YEARS 9 & 10 ADVANCED MATHS
Page 56
QUESTION 1 Solve the following quadratic equations.
a x2 4 0− = b x2 36 0− = c x2 9 0− =______________________ ______________________ ______________________
______________________ ______________________ ______________________
d x2 1 0− = e x2 49 0− = f x2 16 0− =______________________ ______________________ ______________________
______________________ ______________________ ______________________
g x2 25 0− = h x2 64 0− = i x2 81 0− =______________________ ______________________ ______________________
______________________ ______________________ ______________________
j x2 100 0− = k x2 121 0− = l x2 144 0− =______________________ ______________________ ______________________
______________________ ______________________ ______________________
QUESTION 2 Solve the following equations.
a 4 25 02x − = b 9 16 02x − = c 16 25 02x − =______________________ ______________________ ______________________
______________________ ______________________ ______________________
d x2 142 0− = e 9 1 02x − = f 3 3 02x − =
______________________ ______________________ ______________________
______________________ ______________________ ______________________
g 9 02− =x h 2 18 02x − = i 4 9 02x − =______________________ ______________________ ______________________
______________________ ______________________ ______________________
j 25 36 02x − = k 5 20 02x − = l x +( ) − =5 4 02
______________________ ______________________ ______________________
______________________ ______________________ ______________________
m x2 2 0− = n x2 7 0− = o x2 5 0− =______________________ ______________________ ______________________
______________________ ______________________ ______________________
Topic 2 - Equations involving the difference between two squares
3
Quadratic equations
Quadratic equationsMathletics Instant Workbooks – Series K 2 Copyright © 3P Learning
12 EXCEL ESSENTIAL SKILLS: YEAR 10 MATHS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Quadratic equationsUNIT 3: Equations involving a common factor
EXCEL YEARS 9 & 10 ADVANCED MATHS
Page 51
QUESTION 1 Solve the following quadratic equations.
a x x2 5 0− = b x x2 4 0− = c x x2 2 0− =______________________ ______________________ ______________________
______________________ ______________________ ______________________
d x x2 7 0+ = e x x2 5 0+ = f x x2 9 0+ =______________________ ______________________ ______________________
______________________ ______________________ ______________________
g x x2 4= h x x2 9= i x x2 12=______________________ ______________________ ______________________
______________________ ______________________ ______________________
j 6 12 02x x− = k x x2 8 0+ = l x x2 10 0− =______________________ ______________________ ______________________
______________________ ______________________ ______________________
m 3 21 02x x+ = n 5 02x x− = o 4 122x x= −
______________________ ______________________ ______________________
______________________ ______________________ ______________________
QUESTION 2 Solve the following equations.
a 6 24 02x x− = b 5 25 02x x+ = c 5 3 02x x− =
______________________ ______________________ ______________________
______________________ ______________________ ______________________
d 8 16 02x x− = e 3 3 02x x− = f 6 6 02x x− =______________________ ______________________ ______________________
______________________ ______________________ ______________________
g 6 2 02x x+ = h 3 7 02x x− = i 9 9 02x x− =
______________________ ______________________ ______________________
______________________ ______________________ ______________________
j 7 21 02x x− = k 9 27 02x x− = l 8 4 02x x− =______________________ ______________________ ______________________
______________________ ______________________ ______________________
Topic 3 - Equations involving a common
4
Quadratic equations
Quadratic equationsMathletics Instant Workbooks – Series K 2 Copyright © 3P Learning
13Chapter 2: Quadratic equations
Quadratic equationsUNIT 4: Factorising a quadratic trinomial
EXCEL YEARS 9 & 10 ADVANCED MATHS
Page 51
QUESTION 1 Solve the following quadratic equations by factorising.
a x x2 5 6 0+ + = b x x2 2 35 0− − = c x 2 – 5x – 6 = 0
______________________ ______________________ ______________________
______________________ ______________________ ______________________
d x x2 7 12 0+ + = e x x2 5 6 0− + = f x x2 2 48 0+ − =______________________ ______________________ ______________________
______________________ ______________________ ______________________
g x x2 8 16 0− + = h x x2 2 15 0+ − = i x x2 3 18= +______________________ ______________________ ______________________
______________________ ______________________ ______________________
j x x2 40 13+ = k x x2 5 36+ = l x x2 15 54= −______________________ ______________________ ______________________
______________________ ______________________ ______________________
QUESTION 2 Factorise and solve the following quadratic equations.
a 2 11 12 02x x+ + = b 3 8 4 02x x− + = c 6 5 6 02x x+ − =______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
d 2 15 02x x+ − = e 6x 2 – 13x + 6 = 0 f 2 5 42 02x x+ − =______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
g 6 1 02x x+ − = h 4 8 5 02x x+ − = i x x2 7 6+( ) = −______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
j 2 3 32x x= +( ) k 6 20 72x x= − l x x+( ) = +3 7 112
______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
Topic 4 - Factorising a quadratic trinomial
5
Quadratic equations
Quadratic equationsMathletics Instant Workbooks – Series K 2 Copyright © 3P Learning
14 EXCEL ESSENTIAL SKILLS: YEAR 10 MATHS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Quadratic equationsUNIT 5: Completing the square
EXCEL YEARS 9 & 10 ADVANCED MATHS
Page 52
QUESTION 1 What number must be added to make each of the following a perfect square?
a x x2 6+ ________________ b x x2 10− _______________ c x x2 9+ _______________
d x x2 8+ ________________ e x x2 5+ ________________ f x x2 14+ ______________
g x x2 12− _______________ h x x2 14− _______________ i x x2 18− ______________
j x x2 7− ________________ k x x2 3− ________________ l x x2 11+ ______________
m x x x2 2 26− + = −( )K K n x x x2 2 24+ + = +( )K K o x x x2 2 22− + = −( )K K
______________________ ______________________ ______________________
p x x x2 2 210+ + = +( )K K q x x x2 2 23+ + = +( )K K r x x x2 2 27− + = −( )K K
______________________ ______________________ ______________________
QUESTION 2 Solve the following quadratic equations by completing the square.
a x x2 5 4 0+ + = b x x2 6 4 0+ + = c x x2 8 1 0− + =______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
d x x2 9 4+ = e x x2 7 6 0+ + = f x x2 8 9= +______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
g x x2 5 6= + h x x2 10 5+ = i x x2 3 4+ =______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
j x x2 4 4+ = − k x x2 12 8 0+ − = l x x2 10 3− =______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
Topic 5 - Completing the square
6
Quadratic equations
Quadratic equationsMathletics Instant Workbooks – Series K 2 Copyright © 3P Learning
15Chapter 2: Quadratic equations
Quadratic equationsUNIT 6: The quadratic formula
EXCEL YEARS 9 & 10 ADVANCED MATHS
Pages 52–53
QUESTION 1 Solve the following equations using the quadratic formula. Leave your answer in surdform.
a x x2 4 3 0+ + = b 2 7 3 02x x+ + = c 2 7 4 02x x+ − =______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
d 10x 2 – 7x – 12 = 0 e x x2 1 0− − = f 3 8 5 02x x+ + =______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
g 2 8 3 02x x− − = h 5 9 1 02x x− − = i 8 5 2 02x x+ − =______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
j 3 10 5 02x x+ − = k x x +( ) =6 35 l x −( ) =8 152
______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
QUESTION 2 Use the quadratic formula to solve. Give your answer correct to two decimal places.
a 2 3 2 02x x− − = b x x2 3 1 0− + = c x x2 6 9 0+ + =______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
d x x2 6 2 0+ + = e x x2 4 4+ = − f x 2 – 5x = 7
______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
g x x x2 3 2 4 5− + = + h x xx
= +3 7 i x x −( ) =7 5
______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
Topic 6 - The quadratic formula
7
Quadratic equations
Quadratic equationsMathletics Instant Workbooks – Series K 2 Copyright © 3P Learning
16 EXCEL ESSENTIAL SKILLS: YEAR 10 MATHS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Quadratic equationsUNIT 7: Mixed quadratic equations
EXCEL YEARS 9 & 10 ADVANCED MATHS
Page 56
QUESTION 1 Solve the following quadratic equations by any suitable method. Give your answercorrect to one decimal place (where appropriate).
a x x2 13 42 0+ + = b 6 5 1 02x x− − = c 4 11 6 02x x+ + =______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
d 2 9 5 02x x− − = e 24 13 7 02x x− − = f 2 11 63 02x x− − =______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
g 3 5 22x x= − h x 2 – 7x – 8 = 0 i x x2 3 2+ = −______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
j 3 11 8 02x x− + = k x x2 7 3− = l x x2 10 75 0+ − =______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
QUESTION 2 Solve the following quadratic equations. Give your answer correct to two decimal places.
a 2 5 1 22x x x+( ) = +( ) +( ) b 2 3 5x
x+ = c xx
=+8
8
______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
d 7 9 3 02x x+ − = e x x2 7 2 0− − = f 10 29 21 02x x+ + =______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
g 4 21 49 02x x+ − = h 2 3 02x x+ − = i 8 9 4 02x x− − =______________________ ______________________ ______________________
______________________ ______________________ ______________________
______________________ ______________________ ______________________
Topic 7 - Mixed quadratic equations
8
Quadratic equations
Quadratic equationsMathletics Instant Workbooks – Series K 2 Copyright © 3P Learning
Topic 8 - Using quadratic equations to solve problems
17Chapter 2: Quadratic equations
Quadratic equationsUNIT 8: Using quadratic equations to solve problems
EXCEL YEARS 9 & 10 ADVANCED MATHS
Page 54
QUESTION 1 In each of the following diagrams, find x. All measurements are in centimetres.
a b
______________________________________ ______________________________________
______________________________________ ______________________________________
______________________________________ ______________________________________
______________________________________ ______________________________________
QUESTION 2a Find the number which when added to its
square gives twelve.
______________________________________
______________________________________
______________________________________
______________________________________
______________________________________
QUESTION 3a When a number is subtracted from its square, the result is 30. Find the possible numbers.
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
b The square of a number is equal to nine times the number. What are the possible numbers?
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
c The sum of the squares of two consecutive positive integers is 25. Find the integers.
______________________________________________________________________________________
______________________________________________________________________________________
______________________________________________________________________________________
b The area of a rectangle is 15 cm2 and itslength is 2 cm longer than its width. Findthe dimensions of the rectangle.
______________________________________
______________________________________
______________________________________
______________________________________
______________________________________
Area = 24 cm2
(x + 1)
(x + 3)Area = 9 cm2
x
x + 8
9
Quadratic equations
Quadratic equationsMathletics Instant Workbooks – Series K 2 Copyright © 3P Learning
Topic 9 - Simultaneous equations resulting in a quadratic
18 EXCEL ESSENTIAL SKILLS: YEAR 10 MATHS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Quadratic equationsUNIT 9: Simultaneous equations resulting in a quadratic
EXCEL YEARS 9 & 10 ADVANCED MATHS
Page 53
QUESTION 1 Solve the following simultaneous equations.
a x y
xy
+ ==
3
2 ______________________________
b x y
xy
+ ==
5
4 _____________________________
______________________________________ ______________________________________
______________________________________ ______________________________________
c y x x
y x
= + += +
2 3 7
10 _________________________
d y x x
y x
= + += −
2 15 12
1 _______________________
______________________________________ ______________________________________
______________________________________ ______________________________________
QUESTION 2 Solve the following simultaneous equations.
a x y
x y
+ =
+ =
7
852 2 ___________________________
b x y
x y
+ =
+ =
4
102 2 __________________________
______________________________________ ______________________________________
______________________________________ ______________________________________
c y x
y x
=
= 2 _______________________________
d y x
y x x
= +
= −
32 ____________________________
______________________________________ ______________________________________
______________________________________ ______________________________________
QUESTION 3 Solve simultaneously.
a 3 9
62
x y
y x x
+ =
= − − __________________________
b 2 8
6 2
x y
y x x
+ =
= − + _________________________
______________________________________ ______________________________________
______________________________________ ______________________________________
c y x
y x
=
=
22 ________________________________
d y x
y x
= −
=
2 12 ____________________________
______________________________________ ______________________________________
______________________________________ ______________________________________
19Chapter 2: Quadratic equations
Quadratic equationsTOPIC TEST SECTION 1
Instructions 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
1 If x x+( ) −( ) =2 3 0 then the values of x are
A 2 or –3 B –2 or –3 C 2 or 3 D –2 or 3
2 If x x −( ) =2 0 then the values of x are
A 2 B –2 C 0 or 2 D 0 or –2
3 If x2 9 0− = then the solution is
A 0 B 3 C ± 3 D 9
4 If 3 4 02x − =8 then the solution is
A 16 B ± 4 C 4 D 0
5 If x x−( ) −( ) =5 4 3 0 then the values of x are
A 5 34
or − B −5 34
or C 5 34
or D − −5 34
or
6 If x x2 5 0− − = then the values of x are
A 1 212
± B − ±1 212
C 1 192
± D − ±1 192
7 Which is a factor of 2 32x x− − ?
A 2x – 3 B 2x – 1 C 2x + 1 D 2x + 3
8 If 4 12 22 2y y P y Q− + = +( ) then
A P = 9, Q = –3 B P = –9, Q = –3 C P = 9, Q = 3 D P = –9, Q = 3
9 Which one of the following is a perfect square for all values of x?
A x2 49+ B x2 49− C x x2 14 49− + D x x2 7 49+ +
10 x x−( ) −( ) =2 3 0 is the same as
A x2 6+ = 0 B x x2 5 6+ − = 0 C x x2 5 6− + = 0 D x x2 5 6− − = 0
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Quadratic equations
19Chapter 2: Quadratic equations
Quadratic equationsTOPIC TEST SECTION 1
Instructions 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
1 If x x+( ) −( ) =2 3 0 then the values of x are
A 2 or –3 B –2 or –3 C 2 or 3 D –2 or 3
2 If x x −( ) =2 0 then the values of x are
A 2 B –2 C 0 or 2 D 0 or –2
3 If x2 9 0− = then the solution is
A 0 B 3 C ± 3 D 9
4 If 3 4 02x − =8 then the solution is
A 16 B ± 4 C 4 D 0
5 If x x−( ) −( ) =5 4 3 0 then the values of x are
A 5 34
or − B −5 34
or C 5 34
or D − −5 34
or
6 If x x2 5 0− − = then the values of x are
A 1 212
± B − ±1 212
C 1 192
± D − ±1 192
7 Which is a factor of 2 32x x− − ?
A 2x – 3 B 2x – 1 C 2x + 1 D 2x + 3
8 If 4 12 22 2y y P y Q− + = +( ) then
A P = 9, Q = –3 B P = –9, Q = –3 C P = 9, Q = 3 D P = –9, Q = 3
9 Which one of the following is a perfect square for all values of x?
A x2 49+ B x2 49− C x x2 14 49− + D x x2 7 49+ +
10 x x−( ) −( ) =2 3 0 is the same as
A x2 6+ = 0 B x x2 5 6+ − = 0 C x x2 5 6− + = 0 D x x2 5 6− − = 0
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Quadratic equations
10Quadratic equationsMathletics Instant Workbooks – Series K 2 Copyright © 3P Learning
Quadratic equationsTopic 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
Total marks achieved for PART B 15
Marks
Quadratic equationsTopic Test PART B
11Quadratic equationsMathletics Instant Workbooks – Series K 2 Copyright © 3P Learning
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
20 EXCEL ESSENTIAL SKILLS: YEAR 10 MATHS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Quadratic equationsTOPIC TEST SECTION 2
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
Marks
Total marks achieved for SECTION 230
Solve the following quadratic equations.
1 3 5 0x x −( ) = ___________________
2 x x−( ) −( ) =4 7 0 ___________________
3 2 1 02x −( ) = ___________________
4 3 5 2 0x x+( ) −( ) = ___________________
5 x2 16 0− = ___________________
6 7 2 02x − =8 ___________________
7 x x2 15 0− = ___________________
8 2 9 5 02x x+ − = ___________________
9 x x2 12 27 0− + = ___________________
10 What must be added to x x2 6− to make it a perfect square? ___________________
11 Solve x x2 4 12 0+ − = by completing the square. ___________________
Solve the following equations using the quadratic formula.
12 x x2 2 5 0− − = ___________________
13 2 7 8 02x x+ − = ___________________
14 Find the number which when added to its square gives 30. ___________________
15 Solve this pair of simultaneous equations: x yx y
2 2 175
+ =+ =
___________________
Questions Answers
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
Quadratic equations
20 EXCEL ESSENTIAL SKILLS: YEAR 10 MATHS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Quadratic equationsTOPIC TEST SECTION 2
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
Marks
Total marks achieved for SECTION 230
Solve the following quadratic equations.
1 3 5 0x x −( ) = ___________________
2 x x−( ) −( ) =4 7 0 ___________________
3 2 1 02x −( ) = ___________________
4 3 5 2 0x x+( ) −( ) = ___________________
5 x2 16 0− = ___________________
6 7 2 02x − =8 ___________________
7 x x2 15 0− = ___________________
8 2 9 5 02x x+ − = ___________________
9 x x2 12 27 0− + = ___________________
10 What must be added to x x2 6− to make it a perfect square? ___________________
11 Solve x x2 4 12 0+ − = by completing the square. ___________________
Solve the following equations using the quadratic formula.
12 x x2 2 5 0− − = ___________________
13 2 7 8 02x x+ − = ___________________
14 Find the number which when added to its square gives 30. ___________________
15 Solve this pair of simultaneous equations: x yx y
2 2 175
+ =+ =
___________________
Questions Answers
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
Quadratic equations
19Chapter 2: Quadratic equations
Quadratic equationsTOPIC TEST SECTION 1
Instructions 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
1 If x x+( ) −( ) =2 3 0 then the values of x are
A 2 or –3 B –2 or –3 C 2 or 3 D –2 or 3
2 If x x −( ) =2 0 then the values of x are
A 2 B –2 C 0 or 2 D 0 or –2
3 If x2 9 0− = then the solution is
A 0 B 3 C ± 3 D 9
4 If 3 4 02x − =8 then the solution is
A 16 B ± 4 C 4 D 0
5 If x x−( ) −( ) =5 4 3 0 then the values of x are
A 5 34
or − B −5 34
or C 5 34
or D − −5 34
or
6 If x x2 5 0− − = then the values of x are
A 1 212
± B − ±1 212
C 1 192
± D − ±1 192
7 Which is a factor of 2 32x x− − ?
A 2x – 3 B 2x – 1 C 2x + 1 D 2x + 3
8 If 4 12 22 2y y P y Q− + = +( ) then
A P = 9, Q = –3 B P = –9, Q = –3 C P = 9, Q = 3 D P = –9, Q = 3
9 Which one of the following is a perfect square for all values of x?
A x2 49+ B x2 49− C x x2 14 49− + D x x2 7 49+ +
10 x x−( ) −( ) =2 3 0 is the same as
A x2 6+ = 0 B x x2 5 6+ − = 0 C x x2 5 6− + = 0 D x x2 5 6− − = 0
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Quadratic equations
19Chapter 2: Quadratic equations
Quadratic equationsTOPIC TEST SECTION 1
Instructions 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
1 If x x+( ) −( ) =2 3 0 then the values of x are
A 2 or –3 B –2 or –3 C 2 or 3 D –2 or 3
2 If x x −( ) =2 0 then the values of x are
A 2 B –2 C 0 or 2 D 0 or –2
3 If x2 9 0− = then the solution is
A 0 B 3 C ± 3 D 9
4 If 3 4 02x − =8 then the solution is
A 16 B ± 4 C 4 D 0
5 If x x−( ) −( ) =5 4 3 0 then the values of x are
A 5 34
or − B −5 34
or C 5 34
or D − −5 34
or
6 If x x2 5 0− − = then the values of x are
A 1 212
± B − ±1 212
C 1 192
± D − ±1 192
7 Which is a factor of 2 32x x− − ?
A 2x – 3 B 2x – 1 C 2x + 1 D 2x + 3
8 If 4 12 22 2y y P y Q− + = +( ) then
A P = 9, Q = –3 B P = –9, Q = –3 C P = 9, Q = 3 D P = –9, Q = 3
9 Which one of the following is a perfect square for all values of x?
A x2 49+ B x2 49− C x x2 14 49− + D x x2 7 49+ +
10 x x−( ) −( ) =2 3 0 is the same as
A x2 6+ = 0 B x x2 5 6+ − = 0 C x x2 5 6− + = 0 D x x2 5 6− − = 0
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Quadratic equations
19Chapter 2: Quadratic equations
Quadratic equationsTOPIC TEST SECTION 1
Instructions 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
1 If x x+( ) −( ) =2 3 0 then the values of x are
A 2 or –3 B –2 or –3 C 2 or 3 D –2 or 3
2 If x x −( ) =2 0 then the values of x are
A 2 B –2 C 0 or 2 D 0 or –2
3 If x2 9 0− = then the solution is
A 0 B 3 C ± 3 D 9
4 If 3 4 02x − =8 then the solution is
A 16 B ± 4 C 4 D 0
5 If x x−( ) −( ) =5 4 3 0 then the values of x are
A 5 34
or − B −5 34
or C 5 34
or D − −5 34
or
6 If x x2 5 0− − = then the values of x are
A 1 212
± B − ±1 212
C 1 192
± D − ±1 192
7 Which is a factor of 2 32x x− − ?
A 2x – 3 B 2x – 1 C 2x + 1 D 2x + 3
8 If 4 12 22 2y y P y Q− + = +( ) then
A P = 9, Q = –3 B P = –9, Q = –3 C P = 9, Q = 3 D P = –9, Q = 3
9 Which one of the following is a perfect square for all values of x?
A x2 49+ B x2 49− C x x2 14 49− + D x x2 7 49+ +
10 x x−( ) −( ) =2 3 0 is the same as
A x2 6+ = 0 B x x2 5 6+ − = 0 C x x2 5 6− + = 0 D x x2 5 6− − = 0
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Quadratic equations
19Chapter 2: Quadratic equations
Quadratic equationsTOPIC TEST SECTION 1
Instructions 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
1 If x x+( ) −( ) =2 3 0 then the values of x are
A 2 or –3 B –2 or –3 C 2 or 3 D –2 or 3
2 If x x −( ) =2 0 then the values of x are
A 2 B –2 C 0 or 2 D 0 or –2
3 If x2 9 0− = then the solution is
A 0 B 3 C ± 3 D 9
4 If 3 4 02x − =8 then the solution is
A 16 B ± 4 C 4 D 0
5 If x x−( ) −( ) =5 4 3 0 then the values of x are
A 5 34
or − B −5 34
or C 5 34
or D − −5 34
or
6 If x x2 5 0− − = then the values of x are
A 1 212
± B − ±1 212
C 1 192
± D − ±1 192
7 Which is a factor of 2 32x x− − ?
A 2x – 3 B 2x – 1 C 2x + 1 D 2x + 3
8 If 4 12 22 2y y P y Q− + = +( ) then
A P = 9, Q = –3 B P = –9, Q = –3 C P = 9, Q = 3 D P = –9, Q = 3
9 Which one of the following is a perfect square for all values of x?
A x2 49+ B x2 49− C x x2 14 49− + D x x2 7 49+ +
10 x x−( ) −( ) =2 3 0 is the same as
A x2 6+ = 0 B x x2 5 6+ − = 0 C x x2 5 6− + = 0 D x x2 5 6− − = 0
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Quadratic equations
19Chapter 2: Quadratic equations
Quadratic equationsTOPIC TEST SECTION 1
Instructions 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
1 If x x+( ) −( ) =2 3 0 then the values of x are
A 2 or –3 B –2 or –3 C 2 or 3 D –2 or 3
2 If x x −( ) =2 0 then the values of x are
A 2 B –2 C 0 or 2 D 0 or –2
3 If x2 9 0− = then the solution is
A 0 B 3 C ± 3 D 9
4 If 3 4 02x − =8 then the solution is
A 16 B ± 4 C 4 D 0
5 If x x−( ) −( ) =5 4 3 0 then the values of x are
A 5 34
or − B −5 34
or C 5 34
or D − −5 34
or
6 If x x2 5 0− − = then the values of x are
A 1 212
± B − ±1 212
C 1 192
± D − ±1 192
7 Which is a factor of 2 32x x− − ?
A 2x – 3 B 2x – 1 C 2x + 1 D 2x + 3
8 If 4 12 22 2y y P y Q− + = +( ) then
A P = 9, Q = –3 B P = –9, Q = –3 C P = 9, Q = 3 D P = –9, Q = 3
9 Which one of the following is a perfect square for all values of x?
A x2 49+ B x2 49− C x x2 14 49− + D x x2 7 49+ +
10 x x−( ) −( ) =2 3 0 is the same as
A x2 6+ = 0 B x x2 5 6+ − = 0 C x x2 5 6− + = 0 D x x2 5 6− − = 0
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Quadratic equations
19Chapter 2: Quadratic equations
Quadratic equationsTOPIC TEST SECTION 1
Instructions 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
1 If x x+( ) −( ) =2 3 0 then the values of x are
A 2 or –3 B –2 or –3 C 2 or 3 D –2 or 3
2 If x x −( ) =2 0 then the values of x are
A 2 B –2 C 0 or 2 D 0 or –2
3 If x2 9 0− = then the solution is
A 0 B 3 C ± 3 D 9
4 If 3 4 02x − =8 then the solution is
A 16 B ± 4 C 4 D 0
5 If x x−( ) −( ) =5 4 3 0 then the values of x are
A 5 34
or − B −5 34
or C 5 34
or D − −5 34
or
6 If x x2 5 0− − = then the values of x are
A 1 212
± B − ±1 212
C 1 192
± D − ±1 192
7 Which is a factor of 2 32x x− − ?
A 2x – 3 B 2x – 1 C 2x + 1 D 2x + 3
8 If 4 12 22 2y y P y Q− + = +( ) then
A P = 9, Q = –3 B P = –9, Q = –3 C P = 9, Q = 3 D P = –9, Q = 3
9 Which one of the following is a perfect square for all values of x?
A x2 49+ B x2 49− C x x2 14 49− + D x x2 7 49+ +
10 x x−( ) −( ) =2 3 0 is the same as
A x2 6+ = 0 B x x2 5 6+ − = 0 C x x2 5 6− + = 0 D x x2 5 6− − = 0
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Quadratic equations
19Chapter 2: Quadratic equations
Quadratic equationsTOPIC TEST SECTION 1
Instructions 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
1 If x x+( ) −( ) =2 3 0 then the values of x are
A 2 or –3 B –2 or –3 C 2 or 3 D –2 or 3
2 If x x −( ) =2 0 then the values of x are
A 2 B –2 C 0 or 2 D 0 or –2
3 If x2 9 0− = then the solution is
A 0 B 3 C ± 3 D 9
4 If 3 4 02x − =8 then the solution is
A 16 B ± 4 C 4 D 0
5 If x x−( ) −( ) =5 4 3 0 then the values of x are
A 5 34
or − B −5 34
or C 5 34
or D − −5 34
or
6 If x x2 5 0− − = then the values of x are
A 1 212
± B − ±1 212
C 1 192
± D − ±1 192
7 Which is a factor of 2 32x x− − ?
A 2x – 3 B 2x – 1 C 2x + 1 D 2x + 3
8 If 4 12 22 2y y P y Q− + = +( ) then
A P = 9, Q = –3 B P = –9, Q = –3 C P = 9, Q = 3 D P = –9, Q = 3
9 Which one of the following is a perfect square for all values of x?
A x2 49+ B x2 49− C x x2 14 49− + D x x2 7 49+ +
10 x x−( ) −( ) =2 3 0 is the same as
A x2 6+ = 0 B x x2 5 6+ − = 0 C x x2 5 6− + = 0 D x x2 5 6− − = 0
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Quadratic equations
19Chapter 2: Quadratic equations
Quadratic equationsTOPIC TEST SECTION 1
Instructions 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
1 If x x+( ) −( ) =2 3 0 then the values of x are
A 2 or –3 B –2 or –3 C 2 or 3 D –2 or 3
2 If x x −( ) =2 0 then the values of x are
A 2 B –2 C 0 or 2 D 0 or –2
3 If x2 9 0− = then the solution is
A 0 B 3 C ± 3 D 9
4 If 3 4 02x − =8 then the solution is
A 16 B ± 4 C 4 D 0
5 If x x−( ) −( ) =5 4 3 0 then the values of x are
A 5 34
or − B −5 34
or C 5 34
or D − −5 34
or
6 If x x2 5 0− − = then the values of x are
A 1 212
± B − ±1 212
C 1 192
± D − ±1 192
7 Which is a factor of 2 32x x− − ?
A 2x – 3 B 2x – 1 C 2x + 1 D 2x + 3
8 If 4 12 22 2y y P y Q− + = +( ) then
A P = 9, Q = –3 B P = –9, Q = –3 C P = 9, Q = 3 D P = –9, Q = 3
9 Which one of the following is a perfect square for all values of x?
A x2 49+ B x2 49− C x x2 14 49− + D x x2 7 49+ +
10 x x−( ) −( ) =2 3 0 is the same as
A x2 6+ = 0 B x x2 5 6+ − = 0 C x x2 5 6− + = 0 D x x2 5 6− − = 0
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Quadratic equations
19Chapter 2: Quadratic equations
Quadratic equationsTOPIC TEST SECTION 1
Instructions 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
1 If x x+( ) −( ) =2 3 0 then the values of x are
A 2 or –3 B –2 or –3 C 2 or 3 D –2 or 3
2 If x x −( ) =2 0 then the values of x are
A 2 B –2 C 0 or 2 D 0 or –2
3 If x2 9 0− = then the solution is
A 0 B 3 C ± 3 D 9
4 If 3 4 02x − =8 then the solution is
A 16 B ± 4 C 4 D 0
5 If x x−( ) −( ) =5 4 3 0 then the values of x are
A 5 34
or − B −5 34
or C 5 34
or D − −5 34
or
6 If x x2 5 0− − = then the values of x are
A 1 212
± B − ±1 212
C 1 192
± D − ±1 192
7 Which is a factor of 2 32x x− − ?
A 2x – 3 B 2x – 1 C 2x + 1 D 2x + 3
8 If 4 12 22 2y y P y Q− + = +( ) then
A P = 9, Q = –3 B P = –9, Q = –3 C P = 9, Q = 3 D P = –9, Q = 3
9 Which one of the following is a perfect square for all values of x?
A x2 49+ B x2 49− C x x2 14 49− + D x x2 7 49+ +
10 x x−( ) −( ) =2 3 0 is the same as
A x2 6+ = 0 B x x2 5 6+ − = 0 C x x2 5 6− + = 0 D x x2 5 6− − = 0
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Quadratic equations
19Chapter 2: Quadratic equations
Quadratic equationsTOPIC TEST SECTION 1
Instructions 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
1 If x x+( ) −( ) =2 3 0 then the values of x are
A 2 or –3 B –2 or –3 C 2 or 3 D –2 or 3
2 If x x −( ) =2 0 then the values of x are
A 2 B –2 C 0 or 2 D 0 or –2
3 If x2 9 0− = then the solution is
A 0 B 3 C ± 3 D 9
4 If 3 4 02x − =8 then the solution is
A 16 B ± 4 C 4 D 0
5 If x x−( ) −( ) =5 4 3 0 then the values of x are
A 5 34
or − B −5 34
or C 5 34
or D − −5 34
or
6 If x x2 5 0− − = then the values of x are
A 1 212
± B − ±1 212
C 1 192
± D − ±1 192
7 Which is a factor of 2 32x x− − ?
A 2x – 3 B 2x – 1 C 2x + 1 D 2x + 3
8 If 4 12 22 2y y P y Q− + = +( ) then
A P = 9, Q = –3 B P = –9, Q = –3 C P = 9, Q = 3 D P = –9, Q = 3
9 Which one of the following is a perfect square for all values of x?
A x2 49+ B x2 49− C x x2 14 49− + D x x2 7 49+ +
10 x x−( ) −( ) =2 3 0 is the same as
A x2 6+ = 0 B x x2 5 6+ − = 0 C x x2 5 6− + = 0 D x x2 5 6− − = 0
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Quadratic equations
19Chapter 2: Quadratic equations
Quadratic equationsTOPIC TEST SECTION 1
Instructions 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
1 If x x+( ) −( ) =2 3 0 then the values of x are
A 2 or –3 B –2 or –3 C 2 or 3 D –2 or 3
2 If x x −( ) =2 0 then the values of x are
A 2 B –2 C 0 or 2 D 0 or –2
3 If x2 9 0− = then the solution is
A 0 B 3 C ± 3 D 9
4 If 3 4 02x − =8 then the solution is
A 16 B ± 4 C 4 D 0
5 If x x−( ) −( ) =5 4 3 0 then the values of x are
A 5 34
or − B −5 34
or C 5 34
or D − −5 34
or
6 If x x2 5 0− − = then the values of x are
A 1 212
± B − ±1 212
C 1 192
± D − ±1 192
7 Which is a factor of 2 32x x− − ?
A 2x – 3 B 2x – 1 C 2x + 1 D 2x + 3
8 If 4 12 22 2y y P y Q− + = +( ) then
A P = 9, Q = –3 B P = –9, Q = –3 C P = 9, Q = 3 D P = –9, Q = 3
9 Which one of the following is a perfect square for all values of x?
A x2 49+ B x2 49− C x x2 14 49− + D x x2 7 49+ +
10 x x−( ) −( ) =2 3 0 is the same as
A x2 6+ = 0 B x x2 5 6+ − = 0 C x x2 5 6− + = 0 D x x2 5 6− − = 0
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Quadratic equations
19Chapter 2: Quadratic equations
Quadratic equationsTOPIC TEST SECTION 1
Instructions 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
1 If x x+( ) −( ) =2 3 0 then the values of x are
A 2 or –3 B –2 or –3 C 2 or 3 D –2 or 3
2 If x x −( ) =2 0 then the values of x are
A 2 B –2 C 0 or 2 D 0 or –2
3 If x2 9 0− = then the solution is
A 0 B 3 C ± 3 D 9
4 If 3 4 02x − =8 then the solution is
A 16 B ± 4 C 4 D 0
5 If x x−( ) −( ) =5 4 3 0 then the values of x are
A 5 34
or − B −5 34
or C 5 34
or D − −5 34
or
6 If x x2 5 0− − = then the values of x are
A 1 212
± B − ±1 212
C 1 192
± D − ±1 192
7 Which is a factor of 2 32x x− − ?
A 2x – 3 B 2x – 1 C 2x + 1 D 2x + 3
8 If 4 12 22 2y y P y Q− + = +( ) then
A P = 9, Q = –3 B P = –9, Q = –3 C P = 9, Q = 3 D P = –9, Q = 3
9 Which one of the following is a perfect square for all values of x?
A x2 49+ B x2 49− C x x2 14 49− + D x x2 7 49+ +
10 x x−( ) −( ) =2 3 0 is the same as
A x2 6+ = 0 B x x2 5 6+ − = 0 C x x2 5 6− + = 0 D x x2 5 6− − = 0
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Quadratic equations
19Chapter 2: Quadratic equations
Quadratic equationsTOPIC TEST SECTION 1
Instructions 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
1 If x x+( ) −( ) =2 3 0 then the values of x are
A 2 or –3 B –2 or –3 C 2 or 3 D –2 or 3
2 If x x −( ) =2 0 then the values of x are
A 2 B –2 C 0 or 2 D 0 or –2
3 If x2 9 0− = then the solution is
A 0 B 3 C ± 3 D 9
4 If 3 4 02x − =8 then the solution is
A 16 B ± 4 C 4 D 0
5 If x x−( ) −( ) =5 4 3 0 then the values of x are
A 5 34
or − B −5 34
or C 5 34
or D − −5 34
or
6 If x x2 5 0− − = then the values of x are
A 1 212
± B − ±1 212
C 1 192
± D − ±1 192
7 Which is a factor of 2 32x x− − ?
A 2x – 3 B 2x – 1 C 2x + 1 D 2x + 3
8 If 4 12 22 2y y P y Q− + = +( ) then
A P = 9, Q = –3 B P = –9, Q = –3 C P = 9, Q = 3 D P = –9, Q = 3
9 Which one of the following is a perfect square for all values of x?
A x2 49+ B x2 49− C x x2 14 49− + D x x2 7 49+ +
10 x x−( ) −( ) =2 3 0 is the same as
A x2 6+ = 0 B x x2 5 6+ − = 0 C x x2 5 6− + = 0 D x x2 5 6− − = 0
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Quadratic equations
19Chapter 2: Quadratic equations
Quadratic equationsTOPIC TEST SECTION 1
Instructions 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
1 If x x+( ) −( ) =2 3 0 then the values of x are
A 2 or –3 B –2 or –3 C 2 or 3 D –2 or 3
2 If x x −( ) =2 0 then the values of x are
A 2 B –2 C 0 or 2 D 0 or –2
3 If x2 9 0− = then the solution is
A 0 B 3 C ± 3 D 9
4 If 3 4 02x − =8 then the solution is
A 16 B ± 4 C 4 D 0
5 If x x−( ) −( ) =5 4 3 0 then the values of x are
A 5 34
or − B −5 34
or C 5 34
or D − −5 34
or
6 If x x2 5 0− − = then the values of x are
A 1 212
± B − ±1 212
C 1 192
± D − ±1 192
7 Which is a factor of 2 32x x− − ?
A 2x – 3 B 2x – 1 C 2x + 1 D 2x + 3
8 If 4 12 22 2y y P y Q− + = +( ) then
A P = 9, Q = –3 B P = –9, Q = –3 C P = 9, Q = 3 D P = –9, Q = 3
9 Which one of the following is a perfect square for all values of x?
A x2 49+ B x2 49− C x x2 14 49− + D x x2 7 49+ +
10 x x−( ) −( ) =2 3 0 is the same as
A x2 6+ = 0 B x x2 5 6+ − = 0 C x x2 5 6− + = 0 D x x2 5 6− − = 0
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Quadratic equations
19Chapter 2: Quadratic equations
Quadratic equationsTOPIC TEST SECTION 1
Instructions 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
1 If x x+( ) −( ) =2 3 0 then the values of x are
A 2 or –3 B –2 or –3 C 2 or 3 D –2 or 3
2 If x x −( ) =2 0 then the values of x are
A 2 B –2 C 0 or 2 D 0 or –2
3 If x2 9 0− = then the solution is
A 0 B 3 C ± 3 D 9
4 If 3 4 02x − =8 then the solution is
A 16 B ± 4 C 4 D 0
5 If x x−( ) −( ) =5 4 3 0 then the values of x are
A 5 34
or − B −5 34
or C 5 34
or D − −5 34
or
6 If x x2 5 0− − = then the values of x are
A 1 212
± B − ±1 212
C 1 192
± D − ±1 192
7 Which is a factor of 2 32x x− − ?
A 2x – 3 B 2x – 1 C 2x + 1 D 2x + 3
8 If 4 12 22 2y y P y Q− + = +( ) then
A P = 9, Q = –3 B P = –9, Q = –3 C P = 9, Q = 3 D P = –9, Q = 3
9 Which one of the following is a perfect square for all values of x?
A x2 49+ B x2 49− C x x2 14 49− + D x x2 7 49+ +
10 x x−( ) −( ) =2 3 0 is the same as
A x2 6+ = 0 B x x2 5 6+ − = 0 C x x2 5 6− + = 0 D x x2 5 6− − = 0
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
Quadratic equations
