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Algebra Revision Pack
Algebra
Simplify Substitute Solve Rearrange QUESTION A1 QUESTION B1 QUESTION C1 QUESTION D1
Simplify 3a x 2b
Solve a2 + 2b if a = 4 & b = 3
Find x if 4x = 10
Make q the subject of v = 2k - q
QUESTION A2 QUESTION B2 QUESTION C2 QUESTION D2 Simplify 4a2 x ab
Solve 6a - 2b if a = 4 & b = 0?
Solve 5(x + 6) = 40
Make w the subject of p = tw
QUESTION A3 QUESTION B3 QUESTION C3 QUESTION D3 Simplify
10q β 3q + 2q Evaluate (c + 2d)Β²
if c = 4 & d = 3?
Solve 9(x-2) = 9
Make h the subject of m = 5 + h2
QUESTION A4 QUESTION B4 QUESTION C4 QUESTION D4 Simplify
9x + 6 - 5x - 1 Evaluate (3c)Β² - d
if c = 2 & d = 7?
Find p if 11p - 14 = 8
Make z the subject of t = 2(z β 3)
QUESTION A5 QUESTION B5 QUESTION C5 QUESTION D5 Simplify
8p 4p
What is the value of 4(a β b) if
a = 7 & b = 2?
Find x if 30 Γ· x = 5
Make h the subject of m = Β½ (h + 4)
QUESTION A6 QUESTION B6 QUESTION C6 QUESTION D6 Simplify
17r β 9r + 3r Solve
2ae + 6cb if a= 4, b= 3, c= 2, e=1
Find x if 14x - 3 = 25
Make b the subject if a = y + 2b
Algebra
Simplify Substitute Solve Rearrange QUESTION A7 QUESTION B7 QUESTION C7 QUESTION D7
Simplify 3x + 2y - 5x + y
Solve 3π3π
where a = 2 & b = -5
Find x if 3π₯ = 5
Make y the subject if h = 3y + 2b
QUESTION A8 QUESTION B8 QUESTION C8 QUESTION D8 Simplify
3a x 2b x 5
Solve π!π! Where a = 3 & b = 6
Find x if π₯9 = 50
Make b the subject if m = b - h2
QUESTION A9 QUESTION B9 QUESTION C9 QUESTION D9 Express in its simplest
form 4ab x 2bΒ²
Solve 3π!(2π) Where a = 3 & p = - 2
Find x if 4π₯5 = 8
Make a the subject if a2 + b2 = c2
QUESTION A10 QUESTION B10 QUESTION C10 QUESTION D10 Simplify
4x - 3 + x + 10 Solve !
!
!
Where a = 9
Find x if 2π₯! β 13 = 5
Make g the subject if π =
3π
QUESTION A11 QUESTION B11 QUESTION C11 QUESTION D11 Simplify -3r β 7r
Solve (3π + 1) Where b = 8
Find x if 2(π₯ β 2) = 5
Make y the subject if π =
π¦π
QUESTION A12 QUESTION B12 QUESTION C12 QUESTION D12 Simplify
6a 3
Solve ππ!π If a = 2, b = 3 & c = 7
Find x if 4π₯ = π₯
Make m the subject if π =
π3 β 3
Algebra
Simplify Substitute Solve Rearrange QUESTION A13 QUESTION B13 QUESTION C13 QUESTION D13
Express in its simplest form
3a x b x 2cΒ²
What is the value of 6a - b if
a = 4 & b = 7?
Solve 10 - x > 3
Make b the subject if a = 5b
QUESTION A14 QUESTION B14 QUESTION C14 QUESTION D14 Simplify
8x +6y - 5x +y Evaluate 8d + 5cΒ²
if c = 4 & d = 3?
Solve 3x - 7 < 17
Make b the subject of a = 2b - 1
QUESTION A15 QUESTION B15 QUESTION C15 QUESTION D15 Simplify 18a Γ· 2
What is the value of 3a + 2b if
a = 5 & b = 4?
Solve 5x + 7 < 52
Make b the subject if a = 3 + 2b
QUESTION A16 QUESTION B16 QUESTION C16 QUESTION D16 Express in its simplest
form 3c x 2cΒ²
Evaluate 2cΒ² - 4d
if c = 3 & d = 2?
Find x if 4x > 20
Make b the subject if a = 4(b β 7)
QUESTION A17 QUESTION B17 QUESTION C17 QUESTION D17 Simplify 9a - 4a
What is the value of 3a - 8b
if a =10 & b = 3?
Solve 2(x + 4) β€ 18
Make b the subject of a = 2(7 + b)
QUESTION A18 QUESTION B18 QUESTION C18 QUESTION D18 Simplify
4x +3y +5x +8y Evaluate
3c3 if c = 10?
Solve 20 - 4x β₯ 0
Make t the subject of p = 2t - 4
3x
2x
5x
2x x+1
x+1
2x
Β½ x
2x + 1
Algebra
Sequences Factorising Expanding Expressions QUESTION E1 QUESTION F1 QUESTION G1 QUESTION H1
Write down the next number in this
sequence 10, 7, 4 , 1, ?
Factorise 15a + 25
Expand 7(4x - 3)
Write the perimeter
QUESTION E2 QUESTION F2 QUESTION G2 QUESTION H2 Write down the next
number in this sequence
6, 13, 20, 27, ?
Factorise 7x + 21x 2
Expand and simplify 10a + 3a(a - 2)
Write the perimeter
QUESTION E3 QUESTION F3 QUESTION G3 QUESTION H3 Write down the next
number in this sequence
1.3, 1.8 , 2.3, ?
Factorise 4a + 6b
Expand 3(2x + 5)
Write the perimeter
QUESTION E4 QUESTION F4 QUESTION G4 QUESTION H4 Write down the next
number in this sequence
3, 4.5, 6, 7.5, ?
Factorise 9x 2β 12x
Expand and simplify 4a(a + 2) + 3a
Write the perimeter
QUESTION E5 QUESTION F5 QUESTION G5 QUESTION H5 Write down the next
number in this sequence
1, 4, 9, 16, ?
Factorise 15a β 20b
Expand 3(5 + 4x)
Write the perimeter
QUESTION E6 QUESTION F6 QUESTION G6 QUESTION H6 Write down the next
number in this sequence 1,12 ,14 ,18 ,β¦ ?
Factorise 21x + 3x 2
Expand and simplify 7a - 2(a + 2)
Write the perimeter
2x2
Β½ x + 2h
x+3
2x
3x
x
3x
x
Algebra
Sequences Factorising Expanding Expressions QUESTION E7 QUESTION F7 QUESTION G7 QUESTION H7
Find the nth term of this sequence: 2, 5, 8, 11,
Factorise 6p + 2pq
Expand 2(7x - 3)
Write the perimeter
QUESTION E8 QUESTION F8 QUESTION G8 QUESTION H8 Find the nth term of
this sequence: 10, 5, 0,β5,
Factorise fully 14x - 35x 2
Expand and simplify 9a - a(a + 4)
Write the perimeter
QUESTION E9 QUESTION F9 QUESTION G9 QUESTION H9 Find the nth term of
this sequence: 20, 40, 60, 80
Factorise 14 β 7x
Expand -2(4x + 5)
Write the perimeter
QUESTION E10 QUESTION F10 QUESTION G10 QUESTION H10 Find the nth term of
this sequence: 13, 15, 17, 19
Factorise fully 12x β 15x2
Expand and simplify 3a(2a + 1) - 7a
Write the area
QUESTION E11 QUESTION F11 QUESTION G11 QUESTION H11 Find the nth term of
this sequence: 10, 7, 4, 1
Factorise: 3π₯ + 9
Expand and simplify (π₯ + 2)(π₯ + 3)
Write the area
QUESTION E12 QUESTION F12 QUESTION G12 QUESTION H12 Find the nth term of
this sequence: 11, 111, 211, 311
Factorise: 18π + 24π
Expand and simplify (π₯ + 2)(π₯ β 3)
Write the area
2x
2x+1
2x
4x
2x
4x2
2x
6x
4x2
Algebra
Sequences Factorising Expanding Expressions QUESTION E13 QUESTION F13 QUESTION G13 QUESTION H13
Find the 100th term of this sequence: 17, 20, 23, 26
Factorise: 4π₯ + 10π₯!
Expand and simplify (π₯ + 4)(π₯ + 3)
Write the area
QUESTION E14 QUESTION F14 QUESTION G14 QUESTION H14 Find the 100th term of
this sequence: 41, 39, 37, 35
Factorise: 2π£! + 6π£π€
Expand and simplify (π₯ β 2)(π₯ β 3)
Write the area
QUESTION E15 QUESTION F15 QUESTION G15 QUESTION H15 Find the 100th term of
this sequence: 55, 60, 65, 70
Factorise: 9π! β 9ππ
Expand and simplify (π₯ + 2)(2π₯ + 3)
Write the area
QUESTION E16 QUESTION F16 QUESTION G16 QUESTION H16 Find the 100th term of
this sequence: 19, 15, 11, 7
Factorise: 21π£! + 49π£π€
Expand and simplify (π₯ + 1)(π₯ β 1)
Write the area
QUESTION E17 QUESTION F17 QUESTION G17 QUESTION H17 Find the 100th term of
this sequence: -5, -10, -15, -20
Factorise: 77π! + 14ππ
Expand and simplify (π₯ + 8)(π₯ + 3)
Write the area
QUESTION E18 QUESTION F18 QUESTION G18 QUESTION H18 Find the 100th term of
this sequence: -16, -26, -36, -46
Factorise: 40π! + 70πβ
Expand and simplify π₯ + 5 !
Write the area
Answers
Section A J L A1 6ππ A2 4π!π A3 9π A4 4π₯ + 5 A5 2 A6 11π A7 β2π₯ + 3π¦ A8 30ππ A9 8ππ! A10 5π₯ + 7 A11 β10π A12 2π A13 6πππ! A14 3π₯ + 7π¦ A15 9π A16 6π! A17 5π A18 9π₯ + 11π¦ Section E J L E1 β2 E2 34 E3 2.8 E4 9 E5 25 E6 1/16 E7 3π β 1 E8 β5π + 15 E9 20π E10 2π + 11 E11 β3π + 13 E12 100π β 89 E13 314 E14 β157 E15 550 E16 β377 E17 β500 E18 β1006
Section B J L B1 22 B2 24 B3 100 B4 29 B5 20 B6 44 B7 β0.4 B8 1944 B9 β108 B10 20.25 B11 5 B12 126 B13 17 B14 104 B15 23 B16 10 B17 6 B18 3000 Section F J L F1 5(3π + 5) F2 7π₯(1+ 3π₯) F3 2(2π + 3π) F4 3π₯(3π₯ β 4) F5 5(3π β 4π) F6 3π₯(7+ π₯) F7 2π(3+ π) F8 7π₯(2β 5π₯) F9 7(2β π₯) F10 3π₯(4β 5π₯) F11 3(π₯ + 3) F12 6(3π + 4π) F13 2π₯(2+ 5π₯) F14 2π£(π£ + 3π€) F15 9π(π β π) F16 7π£(3π£ + 7π€) F17 7π(11π + 2π) F18 10π(4π + 7β)
Section C J L C1 π₯ = 2.5 C2 π₯ = 2 C3 π₯ = 3 C4 π₯ = 2 C5 π₯ = 6 C6 π₯ = 2 C7 π₯ = 0.6 C8 π₯ = 450 C9 π₯ = 10 C10 π₯ = 3 C11 π₯ = 4.5 C12 π₯ = 2 C13 π₯ < 7 C14 π₯ < 8 C15 π₯ < 9 C16 π₯ > 5 C17 π₯ β€ 5 C18 π₯ β€ 5 Section G J L G1 28π₯ β 21 G2 3π! + 4π G3 6π₯ + 15 G4 4π! + 7π G5 12π₯ + 15 G6 5π β 4 G7 14π₯ β 6 G8 βπ! + 5π G9 β8π₯ β 10 G10 6π! β 4π G11 π₯! + 5π₯ + 6 G12 π₯! β π₯ β 6 G13 π₯! + 7π₯ + 12 G14 π₯! β 5π₯ + 6 G15 2π₯! + 7π₯ + 6 G16 π₯! β 1 G17 π₯! + 11π₯ + 24 G18 π₯! + 10π₯ + 25
Section D J L D1 π = 2π β π£ D2 π€ = π/π‘ D3 β = π β 5 D4 π§ = !!!
!
D5 β = 2π β 4 D6 π = !!!
!
D7 π¦ = !!!!!
D8 π = π + β! D9 π = π! β π! D10 π = 3/π D11 π = π¦/π D12 π = 3π + 9 D13 π = π/5 D14 π = !!!
!
D15 π = !!!!
D16 π = !!!"
!
D17 π = !!!"!
D18 π‘ = !!!
!
Section H J L H1 12π₯ H2 14π₯ H3 4π₯ + 2 H4 16π₯ H5 3.5π₯ H6 12π₯ + 6 H7 10π₯! H8 2π₯ + 8β H9 4π₯ + 12 H10 6π₯! H11 3π₯! H12 π₯! H13 2π₯! + π₯ H14 4π₯! H15 4π₯! H16 4ππ₯! H17 9ππ₯! H18 4ππ₯!