Year 10
Core

Expand a Term over a Single Bracket

Year 10
Core

Expand a Term over a Single Bracket

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Lesson details

Key learning points

  1. In this lesson, we will rewrite an expression by multiplying out brackets that involve algebraic terms. We will also look at generating algebraic expressions using area models.

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4 Questions

Q1.
Simplify z × 4z
4z
Correct answer: 4z²
5z
z⁴
Q2.
Simplify 9m × 3m × 2n
14m²n
14mn
Correct answer: 54m²n
54mn²
Q3.
Simplify 65e ÷ 5
13
Correct answer: 13e
e
e¹³
Q4.
Simplify 72y³ ÷ 12y
6
6y
Correct answer: 6y²
6y³

5 Questions

Q1.
1. Expand 5(5t + 3)
Correct answer: 25t + 15
25t + 3
40t
Q2.
2. Expand 9(5 – 2t)
18t + 45
Correct answer: 45 – 18t
45 – 2t
Q3.
3. Expand -4(5t + 7)
Correct answer: -20t – 28
-20t + 28
-20t + 7
20t – 28
Q4.
4. Expand and simplify 5(3p + 4) -7
15p – 7
Correct answer: 15p + 13
15p + 20
15p + 20 – 7
Q5.
5. Expand and simplify 9(5k – 3) + 3k + 4
45k – 27
45k – 27 + 3k + 4
Correct answer: 48k – 23
48k – 31