Distributivity and expanding
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Lesson details
Key learning points
- In this lesson, we will use the distributive property to expand brackets with linear expressions.
Licence
This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.
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6 Questions
Q1.
Fill in the gap. We can collect together like terms of variables and constants in order to ______ algebraic expressions.
Create
Produce
Sum
Q2.
Fill in the gap: 14 × 3 = 10 × 3 + ____ × 3
-4
1.2
13
Q3.
Fill in the gaps: 5a + 9a = ___ × a = ____
13, 13a
15, 15a
45, 45a
Q4.
Fill in the gaps: 18x + 20x = 30x + ____
10x
18x
38x
Q5.
Simplify the expression 10a -4b + 2a + b
12a - 5b
12a + 3b
8a + 5b
Q6.
Simplify the expression -20x + 3 - 8y + x -y
-19x + 3 - 7y
-21x + 3 - 7y
-25xy
5 Questions
Q1.
Fill in the gaps: We can ____ an expression by using the _____ property.
Add, distributive
Create, commutative
Factorise, commutative
Q2.
Use the distributive property to fill in the gaps: 4(10 + 5) = ____ × 10 + ____ × 5
10, 5
2, 2
4, 5
Q3.
Expand 4(n+ 5)
20n
4n + 5
4n + 9
Q4.
Expand 8(n-3)
8n - 11
8n - 3
8n + 24
Q5.
Expand -7(n+5).
-42n
-7n + 35
-7n + 5