1. ppr maths nbk
CHAPTER 2 : QUADRATIC EXPRESSIONS AND EQUATIONS
EXERCISE 1 :
Expand :
1. (x - 8) (x + 3)
Answer : ………
2. (x + 3) (x – 3)
Answer : ………
3. m(x + y) – (x + y)
Answer : ………
4. (2x – 1) (x + 3)
Answer : ………
5. 4( x2 – 2 ) – x( 5x + 1 )
Answer : ………
6.–2x( x – 3 ) + 4x( x – 6 )
Answer : ………
7. (x – 8 )( 2x + 5 )
Answer : ………
8. ( 3u – 2s )( u – s )
Answer : ………
2
9. x( 5 – x ) – 4x
Answer : ………
10. 9 – ( u – 3)( u + 2 )
Answer : ………
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2. ppr maths nbk
CHAPTER 2 : QUADRATIC EXPRESSIONS AND EQUATIONS
EXERCISE 2
Expand :
1.(2p – q)2 – p(p – q)
Answer :…………….
2. (p – q)2 – (p2 – q2)
Answer :…………….
3. (3f + g)(2f – g) – g2
Answer :…………….
4. (6h + k)(k – 3h) + (h2 – k2)
Answer :…………….
5. 2x(x – 1) + (2x + 1)2
Answer :…………….
2
6. p( p – 4q ) – ( 2p – q )
Answer :…………….
7. ( x – 5 )2 – ( x + 3 )2
Answer :…………….
2
8. ( 3x – 1 ) – 5( x + 1 )
Answer :…………….
9. ( a + 4 )2 – 64a
Answer :…………….
10. ( k – 2m )2 – ( m2 – 4k2 )
Answer :…………….
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3. ppr maths nbk
CHAPTER 2 : QUADRATIC EXPRESSIONS AND EQUATIONS
DIAGNOSTIC TEST
1. (2p + q) ( q – 2p) =
A. 4p2 – q2
B. q2 – 4p2
C. 4p2 – 4pq – q2
D. 4p2 – 4pq + q2
2. (3m –n) (2m – n) =
A. 6m2 – mn + n2
B. 6m2 – 7mn – n2
C. 6m2 – 7mn + n2
D. 6m2 – 5mn + n2
3. (x + 5y)2 – 5xy =
A. x2 + 25y2
B. x2 + 5xy + 25y2
C. x2 – 5xy + 25y2
D. x2 – 10xy + 25y2
4. (x + y)2 + (x2– y2) =
A. 2x2 + 2xy
B. 2x2 – 2xy
C. 2x2 + 2xy – 2y2
D. 2x2 – 2xy + 2y2
5. ( 3h – 5 )( 2h + 4 ) =
A 6h2 + 2h + 20
B 6h2 + 2h – 20
C 6h2 +12h – 20
D 6h2 –10h + 20
6. m( m – 2 ) – 2m( m + 3 ) =
A –m2 – 8m
B m2 + 8m
C -m2 + 4m
D m2 – 6m
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4. ppr maths nbk
7. ( 3p – m )( p – 4m ) =
A 3p2 + 4m2
B 3p2 + 11mp – 4m2
C 3p2 – 13mp – 4m2
D 3p2 + 12mp + 4m2
8. ( p + q )2 – ( 2p2 – q2 ) =
A – p2 + 2q2
B – p2 + 2pq
C – p2
D – p2 + 2pq + 2q2
9. ( f – 2 )( f + 1 ) + ( 2f – 3 ) =
A f2 – 2f
B f2 + f – 1
C f2 + f – 5
D f2 – 5
10. 3x( x – 2y ) – ( 2x – y )2 =
A 3x2 + 10x + y2
B – x2 – 2xy – y2
C – x2 –10xy – y2
D – x2 + 2xy + y2
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5. ppr maths nbk
CHAPTER 2 : QUADRATIC EXPRESSIONS AND EQUATIONS
EXERCISE 1
1. Factorise completely p2 - 2p
2. Factorise completely 4 x2 – 81
3. Factorise completely r2 – 4r – 12.
4. Solve the quadratic equation k( k – 12 ) + 20 = 0
5. Express the area of the triangle in terms of x.
(4x+1)cm
6x cm
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6. ppr maths nbk
CHAPTER 2 : QUADRATIC EXPRESSIONS AND EQUATIONS
EXERCISE 2
1. Solve the quadratic equation 3b ( 2b + 1 ) = 4 – 2b
2. Factorise completely 6 – 17 x - 14 x2
2w 2 − 3
3. Solve the equation =1
5w
(m + 2)
4. Solve the value of m for (m + 2) =
m−3
5. Johan is 3 years older than his sister Aishah and the product of their age is 18.
Find the age of Johan.
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7. ppr maths nbk
CHAPTER 2 : QUADRATIC EXPRESSIONS AND EQUATIONS
DIAGNOSTIC TEST
y
1. Solve the equation y2 − =0
3
y2 y 1
2. Solve the quadratic equation = +
2 6 3
2y2 − 3 1
3. Solve the equation =
3y 3
11x − x 2
4. Solve the quadratic equation = x2 + 5
2
2x cm
5. The diagram shows a right-angled triangle ABC. A C
(a) Form an equation in terms of x using
Teorem Phytogoras and show that 9cm
x2 – 6x = 0. (x + 9) cm
(b) Hence, find the length of AC.
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