Expand a Term over a Single Bracket including Powers
Expand a Term over a Single Bracket including Powers
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Lesson details
Key learning points
- In this lesson, we will rewrite an expression by multiplying out brackets that involve algebraic terms. We will look at cases where we are multiplying two algebraic terms together, requiring the use of indices. We will also look at generating algebraic expressions using area models.
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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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5 Questions
Q1.
1. Expand 5(5t + 3)
25t + 3
40t
Q2.
2. Expand 9(5 – 2t)
18t + 45
45 – 2t
Q3.
3. Expand -4(5t + 7)
-20t + 28
-20t + 7
20t – 28
Q4.
4. Expand and simplify 5(3p + 4) -7
15p – 7
15p + 20
15p + 20 – 7
Q5.
5. Expand and simplify 9(5k – 3) + 3k + 4
45k – 27
45k – 27 + 3k + 4
48k – 31
5 Questions
Q1.
1. Expand 5t(5t + 3)
25t + 15
25t² + 3
28t
Q2.
2. Expand 9p(5 – 2p)
17p
18p² + 45p
45 – 18p
Q3.
3. Expand 4e(5e² + 3e + 7)
20e³ + 3e + 7
32e² + 28e
Q4.
4. Expand and simplify 5p(3p + 4) – 7p
15p² + 20p
28p
8p + 4
Q5.
5. Expand and simplify -9k(5k + 3) + 3k + 4
-45k² – 30k + 4
45k² + 24k + 4
45k² + 30k + 4