Transcript File

Algebra with Whole Numbers
Writing Expressions
Exercise 10
Write expressions for:
1.
2.
3.
4.
5.
6.
7.
8.
1 more than x.
2 less than y.
x more than 5
y less than 6.
the sum of x and 9.
the sum of 4 and y.
7 times x.
y times 8.
x+1
y-2
5+x
6-y
x+9
4+y
7x
8y
True or false?
x divided by 3.
x
3
True
x divided by 3.
x
3
True or false?
4 divided by y.
y
4
False
4 divided by y.
y
4
True or false?
2 divided into x.
2
x
False
2 divided into x.
2
x
True or false?
y divided into 9.
9
y
True
y divided into 9.
9
y
True or false?
The product of 8 and x.
8
x
False
The product of 8 and x.
8
x
True or false?
The product of y and 6.
6y
True
The product of y and 6.
6y
True or false?
y added to x.
x+ y
True
y added to x.
x+ y
True or false?
y subtracted from x.
y-x
False
y subtracted from x.
y-x
True or false?
x multiplied by y.
yx
True
x multiplied by y.
yx
True or false?
x divided by y.
y
x
False
x divided by y.
y
x
True or false?
z more than y.
yz
False
z more than y.
yz
True or false?
z less than y.
y-z
True
z less than y.
y-z
True or false?
z times y.
yz
True
z times y.
yz
True or false?
z divided into y.
z
y
False
z divided into y.
z
y
True or false?
the sum of z and x.
xz
False
the sum of z and x.
xz
True or false?
the product of z and x.
xz
True
the product of z and x.
xz
Write the expression
5 added to the result of
multiplying 2 by x.
2x + 5
Write the expression
2 times the result of
adding 5 to x.
2( x + 5)
Write the expression
4 subtracted from the
result of multiplying
3 by x
3x - 4
Write the expression
3 times the result of
subtracting 4 from x
3( x - 4)
Write the expression
5 added to the result of
dividing x by 2.
x
+5
2
Write the expression
2 divided into the result
of adding 5 to x.
x+5
2
Write the expression
4 subtracted from the
result of dividing x
by 3.
x
-4
3
Write the expression
3 divided into the result
of subtracting 4 from
x
x -4
3
Write the expression
1 more than the square of
x
x +1
2
Write the expression
squaring the result of one
more than x.
( x + 1)
2
• Find the cost of n
articles if each article
costs $d.
C = nd
• Find the cost of each
article if n articles cost
$d.
d
C=
n
• A polygon has n sides
each of length d
metres. Find its
perimeter.
P = nd
• A polygon with n
equal sides has a
perimeter of d metres.
Find the length of each
side.
d
n
• There are n power
poles all in a straight
line. If they are each d
metres apart find the
distance between the
first pole and the last
pole.
d ( n -1)
• There are n equally
spaced poles in a
straight line. If the
distance between the
first pole and the last
pole is d metres find
the distance between
each pole.
d
n
-1
( )
• A carpenter cuts a
length of wood d cm
long into equal pieces.
Find the length of each
piece if he makes n
cuts.
d
n
+
1
( )
• A carpenter cuts a
length of wood into
pieces each d cm long.
Find the original
length of wood if he
makes n cuts.
d ( n + 1)
Write down the 3 consecutive
whole numbers which
• begin with n.
• have n as their middle
number
• n, n+1, n+2
• n-1, n, n+1
Write down the 3 consecutive
even numbers which
• begin with 2n.
• have 2n as their
middle number
• 2n, 2n+2, 2n+4
• 2n-2, 2n, 2n+2
Write down the 3 consecutive
odd numbers which
• begin with 2n - 1.
• have 2n - 1 as their
middle number
• 2n-1, 2n+1, 2n+3
• 2n-3, 2n-1, 2n+1