# Algebra | Expressions, Factorising and Replacing Letters With Numbers

I am a two weeks late in uploading this worksheet, but I was catching up with homework.

This worksheet covers whats listed in the title itself, and I have included an example for each topic.

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This worksheet will go into my maths exam booklet when it comes to the exam prep.

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First 156 words of the document:

Algebra:
Expanding single brackets:
E.g. 5(a-4)= 5 x a= 5a, 5 x 4= 20 = 5a-20
1) 6(n+2)=
2) y(2y-2)=
3) 3(7-4w)=
4) 5p(2p+3)=
5) 3(2a-5)=
6) 4(2x-1) =3(4x+7)=
7) 5(6y+2x) -4(3x+2y)=
8) Y(2y+3) -2(y-4)=
9) X(x+3) +5(x-2)=
10) 6(4-2x) -3(5+3x)=
Factorising expressions:
E.g. 2x +6= 2 x X= 2x, 2 x 3= 6 = 2(x+3)
1) 6y +2=
2) 12x +4y=
3) 3x² +4x=
4) 15b -5=
5) 7c -3c²=
6) 12a²b +18ab²=
7) 4x²y + 6xy² - 2xy=
8) 9c²d + 15cd²=
9) 4a²b + 8ab² +12ab=
10) 8a + 6a²=
Replacing letters with numbers:
To find the value of these expressions: a=2, b=5 and c=3.
1) 5c + 2a=
2) 4(5b-2a)=
3) 2a + 4b ­ 8c=
4) 2(a + b + c)=
5) 3b + c=
To work out the value of these expressions: p=3, q=2, r=5 and s=0.
1) P +r=
2) 4(p+7)=
3) Pqr=

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­ 2r=
5) r² + 1=
To work out the value of the following expressions: a= -5, b=6, c=-2, d= 1