Patterns And Relations Worksheet - Grade 7 Page 13
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461.3
Algebraic Expressions
Focus
Use a variable to represent a set
of numbers.
We can use symbols to represent a pattern.
Tehya won some money in a competition.
She has two choices as to how she gets paid.
Choice 1: $20 per week for one year
Choice 2: $400 cash now plus $12 per week for one year
Which method would pay Tehya more money?
For what reasons might Tehya choose each method of payment?
&
Reflect
Share
Work with another pair of classmates.
For each choice, describe a rule you can use to calculate the total money
Tehya has received at any time during the year.
We can use a variable to represent a number in an expression.
For example, we know there are 100 cm in 1 m.
We can write 1
100 cm in 1 m.
Recall that a variable is a letter,
There are 2
100 cm in 2 m.
such as n, that represents a
quantity that can vary.
There are 3
100 cm in 3 m.
To write an expression for the number of centimetres in any number of metres,
we say there are n
100 cm in n metres.
n is a variable.
n represents any number we choose.
Variables are written in italics
We can use any letter, such as n or x, as a variable.
so they are not confused with
The expression n
100 is written as 100n.
units of measurement.
100n is an algebraic expression.
16
UNIT 1: Patterns and Relations
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