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Algebra Basics
Factorise fully 16x2y - 8xy
What is x + x + x + y × y?
Algebra Basics
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Recap on algebraic manipulation for Year 8
Flashcards
18 cards
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Practice quiz
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Questions
18
Answers
1
What is x + x + x + y × y?
x3 + 2y
3x + 2y
x3y2
3x + y2
2
Factorise fully 16x
2
y - 8xy
4(4x2y - 2xy)
4x(4xy - 2y)
8x2y(2 - x)
8xy(2x - 1)
3
Simplify this.
(9x2 - 3x) ÷ x
9x - 3x
9x - 3
6x
4
Which is equivalent to the expression?
3x2 ÷ 6x - 3y2 ÷ 6y
(3x2 - 3y2) ÷ 6x ÷ 6y
(3x2 - 3y2) ÷ (6x + 6y)
(3x2 - 3y2) ÷ 6x + 6y
5
Factorise fully 4y
5
x - 2yx
2
2yx2(4y4 - 1)
2yx(4y4 - x)
2(y5x - yx2)
4yx(y4 - x)
6
Do you understand how expressions work in fractions now
Sort of
Yes, easy.
Just no
Honestly I'm more confused than I was before.
7
What is the highest common factor of 15x
2
and 25xy?
5
5xy
x
5x
8
What are the factors of 15?
5 and 3
30, 45, 60, 75 and 90
1, 3 and 5
1, 3, 5, 15
9
What is the highest common factor of 18p
2
q
3
and 24p
3
q
2
?
6pq
8p2q2
6p3q3
6p2q2
10
Simplify this expression
Can't be simplified
2y4 - 2yx2
4y5x - x
2y4 - x
11
Factorise fully 16x
2
y - 8xy
8xy(2x - 1)
8x2y(2 - x)
4(4x2y - 2xy)
4x(4xy - 2y)
12
Factorise fully 32a
5
- 40a
3
4(4x2y - 2xy)
4x(4xy - 2y)
8x2y(2 - x)
8xy(2x - 1)
13
What is the highest common factor of 16x
2
y and 8xy?
8xy
4x2y
4xy
2xy
14
What are the factors of 5x
2
?
1, 5, 5x and x2
5, x and x2
1, 5, x, 5x, x2, 5x2
5 and x2
15
Do you understand how algebraic expressions have factors?
Yes, it's easy
Still not really sure
Kind of
16
Which of these are the factors of 5pq
5q
15q
pq
p2
17
Simplify this (again!)
d/4
1/2d6 - 3d6
1/4
d6/4
18
Simplify this
1/2d6 - 3d6
1/4
d/4
d6/4
