Year 9
Distributive property
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Lesson details
Key learning points
- In this lesson, we will learn more about applying the distributive property of multiplication with variables. We will use area models to visualise the process.
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6 Questions
Q1.
The length and width of a rectangle add to 4cm. Stacey thinks only 2 different rectangles are possible. Do you agree?
No, Stacey is incorrect, there is only 1 possible rectangle.
Yes, Stacey is correct.
Q2.
A rectangle's length is 2cm greater than its width. Which expression gives the area?
2x + 4
2x cm²
x² + 2
Q3.
A triangle's height is 4 times greater than its base. Which expression gives the area?
4x²
5x
5x²
Q4.
The length and width of a rectangle add to 14 cm. Which expression gives the area?
14 - x²
14x - 4x²
14x²
Q5.
The length and width of a rectangle add to 14 cm. What is the largest possible area?
14 cm²
196 cm²
40 cm²
56 cm²
Q6.
A triangle has a base and height that sum to 20cm. What is the upper bound of the triangle's area?
10 cm²
100 cm²
There is not an upper bound.
6 Questions
Q1.
Choose the word which best fills the gap: When we ________ double brackets every term in the first bracket must be multiplied by every term in the second bracket.
divide
express
factorise
Q2.
Cala says (x+2)(x+4) is the same as (x+4)(2+x). Is she correct?
No Cala is incorrect.
Q3.
Expand and simplify (x+11)(x+2)
Option 1
Option 2
Option 4
Q4.
Expand and simplify (x+3)(x+5)
Option 2
Option 3
Option 4
Q5.
Expand and simplify 2(x+3)+2(x+5)
2x² + 30x + 16
2x² + 6x + 10
4x² + 16
Q6.
Expand and simplify (x+1)²
x² + 1
x² + x + 2
x² + x + x + 1