Archive
Collecting Like Terms
Collecting like terms – Notes
Simplifying Expressions – Collecting like terms
Only like terms can be added or subtracted to simplify an expression.
example 11: a + 3a + 4a – 5a
Example 11 – Collecting like terms
a is the same as 1a, so 1a + 3a + 5a equals 8a.
Then subtract 3a to give 5a.
example 12: 8xy + 5xy + 2xy – 10xy
Example 12 – Collecting like terms
example 13: 3x² + 5x² – x²
Example 13 – Collecting like terms
example 14: 3a + 2c – 2a + 3c
Example 14 – Collecting like terms
In this question there are two different terms, “a” and “c”
The 3a subtract 2a is a
The 2c add 3c is 5c
example 15: 4m – 5n + 3m – 2n
Example 15 – Collecting like terms
The 4m add 3m is 7m
-5n subtract 2n is -7n (see negative numbers)
Collecting like terms QR
Simplifying Algebraic Expressions Multiplying – Notes
Simplifying Expressions – Multiplying
When you multiply expressions, multiply the numbers first, then the letters.
example 3: 3 x m
Example 3 – Multiplying algebraic terms
example 4: m x p
Example 4 – Multiplying algebraic terms
example 5: 4w x 3
Example 5 – Multiplying algebraic terms
example 6: 8y x 3x
Example 6 – Multiplying algebraic terms
In this question, multiply 8 x 3 first to give 24. Then y multiplied by x is xy (alphabetical order)
example 7: m x m
Example 7 – Multiplying algebraic terms
In this question, multiplying m by m gives m²
example 8: 4t x 3t
Example 8 – Multiplying algebraic terms
In this question, multiply 4 x 3 first to give 12. Then t multiplied by t is t² (see indices)
example 9: 8w x 2w²
Example 9 – Multiplying algebraic terms
In this question, multiply 8 x 2 first to give 16. Then w multiplied by w² is w³ (see indices)
example 10: 3w³ x 5w²
Example 10 – Multiplying algebraic terms
In this question, multiply 3 x 5 first to give 15. Then w² multiplied by w³ is w⁵ (see indices)
Multiplying expressions QR
