Essential Mathematics VELS Edition Year 9 Teacher CD-ROM
Chapter 2 Algebra skills: Skillsheet (textbook page 38)
1 a Find the number of terms in each of the following expressions:
i
3xy + 5x – 4
ii 2x + 3y
iii 3x2 + 2x – 3y – y2
b What is the coefficient of x in each case?
2 State whether or not each of these statements is true for all possible values of the
pronumeral.
a y+6=6+y
b p–d=d–p
c 3a × b = 3ab
3 Choose the like terms in each set.
a i
2x, 5xy, 3xy, y
ii 3ab, 5d, 3ba, ab, 5
b i
3x2, 2x, –x2, 6xy, 4x2, –x2y
ii 2a2, 2ab2, –a2, 3a2b, 2a, –5a2
4 Simplify each of the following:
a i
7x + 4x
ii 4p + p
iii 8k + 14k + 3k
b i
2a – 7a
ii 4r – 4r
iii 3r – 7r
c i
5xy – 3yx
ii 4dg + 3gd
iii 4rt – 3rt − 4rt
© Greenwood, Robertson, Sotiriou, Sotiriou 2006
1
Essential Mathematics VELS Edition Year 9 Teacher CD-ROM
Chapter 2 Algebra skills: Skillsheet (textbook page 38)
5 Simplify the following expressions:
a i
2×m
ii 3 × b × c
iii 4 × f × f × g
b i
4x × (−6y)
ii −3e × −4f
iii −3r × −2d × −2r
c i
a ÷ (−5)
ii −s ÷ (−3)
iii −3t ÷ (−5s)
6 Expand each of the following expressions:
a i
3(x – y)
ii 7(2x – y)
b i
−3(3x − 2y)
ii −2(3e + 2f)
7 Find the highest common factor of:
a i
18, 6 and 9
ii 14, 21 and 35
b i
5a and 10
ii 12 and 10y
c i
8xy and 10x
ii 15gp and 10gp
8 Determine which of the following is larger by finding the lowest common denominator
and writing equivalent fractions:
2
3
3
4
a 3 and 4
b 7 and 9
5
7
c 12 and 18
© Greenwood, Robertson, Sotiriou, Sotiriou 2006
2
Essential Mathematics VELS Edition Year 9 Teacher CD-ROM
Chapter 2 Algebra skills: Skillsheet (textbook page 38)
9 Simplify each of the following:
a i
42
7 7
ii 3  3
7 7
iii 7  2
13 13
b i
2 9
3 11
ii 2  15
5 10
iii 11  6
18 22
c i
9  27
10 5
ii
8  18
15 25
iii 8  7
20 9
© Greenwood, Robertson, Sotiriou, Sotiriou 2006
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Essential Mathematics VELS Edition Year 9 Teacher CD-ROM
Chapter 2 Algebra skills: Skillsheet (textbook page 38)
Chapter 2 Skillsheet answers
1 a i
3
ii 2
iii 4
b i
5
ii 2
iii 2
2 a True
b False
c True
3 a i
5xy, 3xy
ii 3ab, 3ba, ab
b i
3x2, −x2, 4x2
ii 2a2, −a2, −5a2
4 a i
11x
ii 5p
iii 25k
b i
−5a
ii 0
iii −4r
c i
2xy
ii 7dg
iii −3rt
© Greenwood, Robertson, Sotiriou, Sotiriou 2006
4
Essential Mathematics VELS Edition Year 9 Teacher CD-ROM
Chapter 2 Algebra skills: Skillsheet (textbook page 38)
5 a i
2m
ii 3bc
iii 4f2g
b i
−24xy
ii 12ef
iii −12r2d
c i
a
5
s
ii 3
iii
6 a i
3t
5s
3x – 3y
ii 14x – 7y
b i
−9x + 6y
ii −6e – 4f
7 a i
3
ii 7
b i
5
ii 2
c i
2x
ii 5gp
3
8 a 4
4
b 9
5
c 12
© Greenwood, Robertson, Sotiriou, Sotiriou 2006
5
Essential Mathematics VELS Edition Year 9 Teacher CD-ROM
Chapter 2 Algebra skills: Skillsheet (textbook page 38)
9 a i
2
7
ii 0
5
iii 13
b i
6
11
3
ii 5
1
iii 6
c i
1
6
20
ii 27
18
iii 35
© Greenwood, Robertson, Sotiriou, Sotiriou 2006
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