Math Expressions Worksheet With Answers - Grade 7 And 8 - University Of Waterloo - 2013 Page 2
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5
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12Example
2
6
35
(5 + 2) = 2
6
35
7
= 4
6
35
7
= 24
5
= 19
Exercises I
Evaluate the following expressions.
(a) 15
3
1
(b) 7
3 + 4
(c) 48
4 + 4
5
(d) 48
(4 + 4)
5
(e) 11
6
12 + (4 + 5
2)
7
Distributive Property
The Distributive Property is used when multiplying a sum by a single term or another sum.
a
(b + c)
(a + b)
(c + d)
To evaluate a
(b + c), multiply every term in the sum by the constant in front. That is,
a
(b + c) = a
b + a
c.
Examples
3
(2 + 5) = 3
2 + 3
5
= 6 + 15
= 21
We can check that this is right by using our BEDMAS rules:
3
(2 + 5) = 3
7
= 21
This might seem like more work, but it can be really useful when doing mental math:
8
43 = 8
(40 + 3)
= 8
40 + 8
3
= 320 + 24
= 344
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