Chapter 4 Algebra Worksheet Page 15
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501 9 0
C H A P T E R 4 : A L G E B R A
4C Simplifying expressions
containing like terms
Start thinking!
1 Each bag of Cherry Bites contains a chocolates. Melinda buys three bags of Cherry Bites.
ys three bags of Cherry Bites
Explain why the total number of chocolates in the three bags would be a + a + a or 3 × a or 3a.
2 Peter buys fi ve bags of Cherry Bites.
Write three expressions for the total number of chocolates in fi ve bags.
3 The term 3a is the simplest form of the three expressions in question 1.
Which expression is the simplest in question 2?
4 Peter adds his fi ve bags to Melinda’s three bags.
a Complete this new expression for the total number of chocolates: 3a +
a
b Can this expression be simplifi ed further? If so, write your simplifi ed expression.
5 Nick has bought two bags of chocolate bullets. Each bag contains b chocolates. Write a simple
expression for the total number of chocolates in the two bags of chocolate bullets.
6 Melinda, Peter and Nick pool all their chocolates together.
a Complete this new expression for the total number of chocolates:
a +
b
b Can this expression be simplifi ed further?
7 The terms 3a and 5a are called
terms. Are 8a and 2b like terms? Explain.
like
8 Explain when an expression can be simplifi ed.
KEY IDEAS
Terms containing exactly the same pronumerals are called
NOTE
The order of
like terms.
the pronumerals
can be different, but
Expressions can be simplifi ed by adding or subtracting like terms.
pronumerals are
usually shown in
alphabetical order.
Like terms can be added (or subtracted) by adding (or subtracting)
the coeffi cients of the terms.
Rearranging an expression to group like terms is called ‘collecting like terms’.
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