Remove -> Vth Vacation work
Sets C, D, M, N – Complete Sections A and B (Mr Ritter, Mr Higazi, Mrs Mackinder , Mrs
Blackburn)
Sets I, V, X, L – Complete Sections B and C (Mr O’Dowd, Mrs Higazi, Mrs Williams, Miss
Mowlam)
This work should take you approximately 3 hours. Your vacation work is up to 4 hours, so
you have spare time to focus on topics you’ve struggled with this year.
If you get stuck on any of these, go to www.mymaths.co.uk
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Section A
1. Solve the following equations.
2.
Section B (mymaths -> Algebra -> Use of symbols -> Single brackets, Brackets)
1. Expand and simplify each of the following.
a.
b.
c.
d.
e.
4(5y + 1)
5(x – 3)
2m(5 – 2m)
2(x + 3y)
7x(3x + 9)
f. 5p(2p – 7q + 3)
g. 5t(t + 1 + 4s)
h. 7(x + 3) + 5(x – 1)
i. 3 (t – 2) + 6(t + 2)
j. 2(x + 4) – 3(x – 4)
2. Use FOIL or smiley face method to expand and simplify the following.
a. (x + 1)(x + 2)
b. (x + 4)(x +3)
c. (x – 3)(x + 5)
d. (x – 4)(x – 7)
e. (2x +1)(x – 4)
f. (3x + 1)(2x – 4)
(mymaths -> Algebra ->Factorising Linear, Factorising Quadratics 1)
3. Factorise the following by taking out common factors.
a.
b.
c.
d.
e.
3x + 9
2x2 – 4x
16xy + 12x2
6mn – 9mt
15x2 – 10xy
f. 14x – 7xy
g. 3x2 + 12x3 – 6x
h. 16x2y – 24y
i. 2x2 – 2x
j. 2d3 + 4d – 8d2
4. Factorise the following into double brackets. (mymaths -> Algebra -> Factorising 2)
a.
b.
c.
d.
x2 + 7x + 10
x2+ 8x + 15
x2 + 5x + 6
x2 - 3x – 10
5. Solve
a. 2𝑥 + 1 = 3𝑥 − 11
b.
c.
3𝑥−3
4
2𝑥
4
= 12
− 3 = 12
d. 4 − 2𝑥 = 4𝑥 + 1
e.
3(2𝑥−1)
5
=
2𝑥+1
2
(mymaths -> Algebra -> Functions -> Functions 1)
6.
a. f(1)
1
b. f( )
2
c. f(-5)
7.
8.
a. f(x) = 3
b. f(x) = -5
c. g(x) = 0
d. g(x) = 2
e. h(x) = 2
f. h(x) = -5
Section C
1. Factorise the following into double brackets.
a.
b.
c.
d.
x2 – 9
x2 - 49
x2 + 3x – 28
x2 - 10x + 25
e. x2 – 81
f. x2 – x - 72
g. x2 + 2x + 1
h. 2x2 + 5x + 2
2.
(mymaths -> Algebra -> Factorising 2)
3. Solve the following by factorising
a. x2 – 4x – 5 = 0
b. 2x2 +7x + 12 = 0
c. 2x2 + 7x + 3= 0
d. x2 – x – 20 = 0
e. 2x2 + 7x – 15= 0
f. 3x2 – 11x + 6 = 0
g. 4x2 – 9 = 0
h. 7x2 + 8x + 1 = 0
i. 3x2 + 13x - 10 =0
j. 4x2 + 3x =7
k. 15x2 = -2x + 1
l. x4 – 13x2 + 36= 0
4.
(mymaths -> Algebra -> Functions -> Functions 2)
5
a). fg(2)
b). gf(3)
c). hf(-1)
d). hfg(-2)
6
7.
Extension
8.