Chapter 4 Algebra Worksheet Page 47
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502 2 2
C H A P T E R 4 : A L G E B R A
NAPLAN-STYLE PRACTICE
3
2
4
What is the coeffi cient of −8mnp?
2x
× 3x
1
y
12
Simplify
.
4
2
8x
y
2
Caitlin buys x pens and y pencils. A pen costs
A rectangle is three times as long as it is wide.
13
$2 and a pencil costs $1. Which expression
If the width is represented by w, write an
represents the total cost in dollars?
expression for the area
x + y
2xy
of the rectangle in terms
w
x + 2y
2x + y
of w.
Which of these is equivalent to 5ab?
3
5 × a × b
5 + a + b
14
Which expression is equivalent to a(b + c)?
5 × a + b
5 + a × b
a + (b + c)
a × b + c
If a = 4 and b = −3, what is 7a + 2b?
4
a × b + a × c
a × b × c
−13
22
34
97
Which expression is equivalent to 5x(x − 2y)?
15
2
5x
− 2y
5x − 10xy
2
Which of these is equivalent to −3m
n?
5
2
2
5x
− 5xy
5x
− 10xy
3 × m × n
−3 × m × n
16
If m = 5, n = −2 and p = 3, what is the value of
3 × m × m × n
−3 × m × m × n
2
2m
− 5n
?
2
2
6
Simplify 5x
− 3x + x
+ 2x − 4.
4mp
What is the product of 4ab and 3bc?
7
17
Which expression becomes 3ab + 6a when
2
2
7abc
12ab
7ab
12abc
expanded?
c
c
3(ab + 2)
3a(b + 2)
3b(a + 2)
3a(b + 6)
4
7
Which of these is equivalent to h
× h × h
?
8
3
11
12
28
h
h
h
h
Which expression is equivalent to
18
d(6 − d) + 2d(3d − 1)?
2
2
2
8d
4d + 5d
8d + 7d
4d − 7d
24ef
Which of these shows
in simplest form?
9
20e
12f
6f
12ef
6ef
2
3
Which expression becomes 4x
y − 6xy
when
19
10
5
10e
5e
expanded?
2
2
2xy(2x − 3y
)
2xy(2x − 6y
)
8
2
10
Write b
÷ b
in simplest form.
2
−xy(4x − 6y
)
xy(4x + 6y)
Which expression does not simplify to 2x − 3y?
20
2
8x
− 12xy
2
Simplify 3mn × 2m
n × n.
11
4x
5x + 3x(y − 1) − 3y(x + 1)
5(x − y) + 3(2y − x)
2(x − 3y) + 3y
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