Chapter 4 Algebra Worksheet Page 10
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501 8 5
4 B E VA L UATI N G E X PRE SSIO N S
EXERCISE 4B Evaluating expressions
EXAMPLE 4B-1
Substituting a value into an expression
Evaluate each expression by substituting 3 for x.
x + 4
2x − 1
a
b
THINK
WRITE
a
1 Replace x with 3.
a
x + 4
2 Evaluate the expression.
= 3 + 4
= 7
b
1 Remember that 2x means 2 × x. Replace x with 3.
b
2x − 1
2 Evaluate the expression. Follow the correct order of
= 2 × 3 − 1
operations (multiply then subtract).
= 6 − 1
= 5
Evaluate each expression by substituting 8 for x.
1
NOTE
Hint: when you
x
a
x + 9
b
x − 1
c
7x
d
substitute into a term that
2
is a product of a number and
e
3x + 5
f
2x − 6
g
10 + x
h
12 − x
one or more pronumerals,
×
show the
signs as a
Evaluate 3a + 5 by substituting each value for a.
2
reminder to multiply.
a
a = 2
b
a = 7
c
a = 1
d
a = 0
1
2
e
a = −1
f
a = −3
g
a =
h
a = −
3
3
3
Evaluate 6y − 2 by substituting each value for y.
y = 1
y = 3
y = −1
y = −4
a
b
c
d
1
1
y = 0
y =
y =
y = 2.5
e
f
g
h
2
3
EXAMPLE 4B-2
Substituting two values into an expression
Evaluate 5a + 3b by substituting a = 3 and b = 2.
THINK
WRITE
Replace a with 3 and b with 2. Follow the correct order
5a + 3b
of operations (multiply then add).
= 5 × 3 + 3 × 2
= 15 + 6
= 21
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