Chapter 4 Algebra Worksheet Page 4

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1 7 9
4A US IN G P RON UM E RA L S
EXERCISE 4A Using pronumerals
Answer true or false to each statement. If false, provide your reasoning.
1
5x + y is an expression
2k + 4 is an equation
a
b
the constant in 7 + 9p is 9
a = b + c is a formula
c
d
e
the coeffi cient of 6m is m
f
8y + 3 − x has three terms
2
State whether each of these is an expression
NOTE
Pronumerals are printed
or an equation.
in italics so they are not confused
with abbreviations such as units
a
2a + 3
b
x − 6 = 1
of measurement. For example,
7 = 5 + h
x + y + z = 9
c
d
m is for metre but m is a
pronumeral representing a variable.
3a + b − 7
k = 4m + 1
e
f
Look at the relationships in question
.
3
2
Which of the equations is also a formula?
a
b
Which expression contains a term with a coeffi cient of 2?
c
Which expression contains the constant term −7?
EXAMPLE 4A-1
Writing simple expressions
Write an expression for each statement. Use a to represent the unknown number.
a
8 more than a number
b
5 times a number
c
a number divided by 9
THINK
WRITE
Expression is a + 8.
a
‘8 more’ means to add 8. Write a plus 8.
a
b
a × 5 = 5a
b
Multiply a by 5. Simplify by writing the number before the
Expression is 5a.
pronumeral and leaving out the × sign.
a
c
a ÷ 9 =
c
Write a divided by 9 as a fraction. Remember that the
9
a
÷ sign is equivalent to the
in a fraction.
vinculum
Expression is
.
9
Write an expression for each statement. Use a to represent the unknown number.
4
5 more than a number
a number divided by 3
a
b
c
4 less than a number
d
3 times a number
e
8 is subtracted from a number
f
2 is added to a number
a number is subtracted from 10
6 divided by a number
g
h
50 times a number
the sum of a number and 19
i
j
twice the value of a number
the sum of a number, another number x and 8
k
l

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