Podcast
Questions and Answers
Simplify the expression: $-3m + 2mn - 4m + 5mn$.
Simplify the expression: $-3m + 2mn - 4m + 5mn$.
-7m + 7mn
Simplify the expression: $5a \times 4b \times 2b$.
Simplify the expression: $5a \times 4b \times 2b$.
40ab^2
Simplify the expression: $18pqr \div 3pq$.
Simplify the expression: $18pqr \div 3pq$.
6r
Expand and simplify: $8(m-3) + 3(2m + 4)$.
Expand and simplify: $8(m-3) + 3(2m + 4)$.
What is the simplified form of: $2a(a+b) - b(2a+b)$?
What is the simplified form of: $2a(a+b) - b(2a+b)$?
Factorise the expression: $-8x - 12$.
Factorise the expression: $-8x - 12$.
Simplify: $y^2 + 7x^2 + 6y^2 - 8x^2 = $
Simplify: $y^2 + 7x^2 + 6y^2 - 8x^2 = $
Simplify: $4mx - 3mm \times -m = $
Simplify: $4mx - 3mm \times -m = $
Simplify: $5a \times 4b \div 2 = $
Simplify: $5a \times 4b \div 2 = $
Factorise fully $4m^2 +8mp$.
Factorise fully $4m^2 +8mp$.
Flashcards
(m + n)² given m=5 and n=3
(m + n)² given m=5 and n=3
The result of squaring the sum of two numbers, m and n.
-3m+2mn-4m+5mn
-3m+2mn-4m+5mn
A simplified algebraic expression combining like terms.
5a * 4b * 2b
5a * 4b * 2b
A simplified algebraic expression after multiplying the terms.
18pqr ÷ 3pq
18pqr ÷ 3pq
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4(7 - 5c)
4(7 - 5c)
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Expand 2a(a+b)
Expand 2a(a+b)
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Expand 2x² + x(5x - 2)
Expand 2x² + x(5x - 2)
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Expand and simplify 8(m-3) + 3(2m + 4)
Expand and simplify 8(m-3) + 3(2m + 4)
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Factorise -8x - 12
Factorise -8x - 12
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(5a+4b)/c given a=0.4, b=-0.5, c=-3
(5a+4b)/c given a=0.4, b=-0.5, c=-3
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Study Notes
- Algebraic techniques are being revised.
Q1
- If m = 5 and n = 3, the value of (m + n)² is requested.
Q2
- Simplify -3m+2mn-4m+5mn
Q3
- Simplify 5ax4bx2b
Q4
- Simplify 18pqr÷3pq
Q5
- Expand 4(7-5c)
Q6
- Expand 2a(a+b)
- Possible answers:
- 2a² + ab
- 2ab
- 2a² + 2ab
- 2a²b
Q7
- Expand and simplify 2x²+x(5x-2)
- Possible answers:
- 3x²+10x
- 2x²+10x
- 7x²-2x
- 7x+2x
Q8
- Expand and simplify 8(m-3) + 3(2m + 4)
- Possible answers:
- 14m-12
- 10m-16
- 14m-20
- 14m+36
Q9
- Expand and simplify 2a(a+b)-b(2a + b) to find the missing terms.
Q10
- Factorise -8x-12 = (2x + 3)
Q11
- If a = 0.4, b = -0.5 and c = -3, find the value of (5a+4b)/c
Q12
- If a = 5 and b = 6, find the value of √(2a+b)
Q13
- Simplify 8xy-4xp-6xy – 5xp
- Possible answers:
- 2xp-9xy
- 2xy-9xp
- 9xp + 2xy
Q14
- Simplify y² + 7x²+6y² - 8x²
- Possible answers:
- -x²+7y²
- -7x² + y²
- -y²+7x²
Q15
- Simplify dxexuxx
- Possible answers:
- deux
- de²ux
- de + ux
- 2deu
Q16
- Simplify 4mx-3mm x -m
- Possible answers:
- 3m-3mn
- 12m³n
- 12mn
Q17
- Simplify 5ax 4b÷ 2
Q18
- Simplify 2ax6b÷3ab
Q19
- Expand 2(3a + 2b + 4c)
- Possible answers:
- 6a+4b+8c
- 6a+2b+4c
- 18abc
- 3a +4b+8c
Q20
- Expand 5(3a + 5b - c)
- Possible answers:
- 3a+25b-5c
- 15a+25b-5c
- 3a+5b-5c
- 15a+5b-c
Q21
- Expand -3(2+ a)
Q22
- Expand -2(2x-3y+4)
- Possible answers:
- -4x+8y-6
- 4x+6y-8
- -24xy
- -4x+6y-8
Q23
- Expand and simplify 5x(x-2)+3(2x−6)
- Possible answers:
- 5x²-18x
- 5x²-4x
- 5x²-4x-18
- 10x²-3x-12
Q24
- Expand and simplify 4(x−y)-2(y-x)+3x(y-2)
- Possible answers:
- 4xy-2
- 2xy + 5x
- 3xy-6y
- 3xy
Q25
- Expand and simplify 5a²-2a(2a+b-3)
- Possible answers:
- 6a²-2ab+4
- 2a²+6ab
- a²+6ab-2a
- a²-2ab+6a
Q26
- Expand and simplify 3a(a-4) -2a(a + 2)
- Possible answers:
- a²-16a
- 2a²+6a
- 16a²-2a
- a²+12a
Q27
- Expand and simplify 2m(m+n)-n(2m+n)
- Possible answers:
- m²-2n²
- 2m² + n²
- 2m²-n²
Q28
- Expand and simplify: 2x(x+y) + 3x (x−y), finding the missing terms.
Q29
- Factorise fully 4m²+8mp
- Possible answers:
- 2m(2m +3p)
- 2m(m+4p)
- 4m(m+2p)
Q30
- Factorise fully ax + xy + x²
- Possible answers:
- x(2y+x)
- a(a+2x+y)
- x(a+y+x)
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