Algebra Revision Pack

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Contents

Algebra Revision Pack
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1
Revision checklist
2
Solving equations: one step
3
Solving equations: one step
4
Solving equations: two steps
5
Solving equations: two steps
6
Solving equations: x on both sides
7
Solving equations: x on both sides
8
Solving equations with brackets
9
Solving equations with brackets
10
Substitution
11
Substitution
12
Sequences: the nth term
13
Sequences: the nth term
14
Order of operations
15
Negative numbers
16
Cornell notes
17
Mind map
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Revision checklist

List your topics, rate how confident you feel, and tick each time you revise.
Name

Revision checklist

Name:
Date:
Subject / topicConfidenceRevised
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Solving equations: one step

Solve each equation to find x.
Name

Solving equations: one step

Name:
Date:
1.x − 12 = 9
2.4x = 36
3.x + 6 = 13
4.3x = 36
5.9x = 99
6.4x = 8
7.x/5 = 9
8.x + 2 = 3
9.x + 6 = 8
10.2x = 2
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Solving equations: one step

Solve each equation to find x.
Name

Solving equations: one step

Name:
Date:
1.x + 44 = 46
2.x − 53 = −51
3.−5x = 20
4.x − 54 = −35
5.x + 40 = 45
6.x/2 = 7
7.x − 22 = −16
8.x − 16 = −4
9.x − 9 = −20
10.−10x = 60
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Solving equations: two steps

Solve each equation to find x.
Name

Solving equations: two steps

Name:
Date:
1.6x − 4 = 8
2.5x + 10 = 30
3.3x + 4 = 28
4.6x + 1 = 73
5.3x + 3 = 9
6.2x − 6 = 14
7.5x − 2 = 53
8.6x + 7 = 67
9.4x − 1 = 11
10.6x − 6 = 30
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Solving equations: two steps

Solve each equation to find x.
Name

Solving equations: two steps

Name:
Date:
1.4x + 4 = 80
2.6x − 4 = −28
3.x/9 − 24 = −7
4.x/5 − 12 = −9
5.11x − 7 = 180
6.−8x + 20 = 116
7.2x + 3 = −13
8.x/2 + 4 = 21
9.x/4 − 17 = −22
10.−9x + 9 = 99
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Solving equations: x on both sides

Solve each equation to find x.
Name

Solving equations: x on both sides

Name:
Date:
1.6x + 12 = 2x + 52
2.6x + 12 = 4x + 16
3.5x + 1 = 2x + 22
4.6x + 11 = 5x + 12
5.3x + 4 = x + 18
6.6x − 3 = 3x + 9
7.4x + 6 = x + 9
8.6x + 7 = 5x + 19
9.6x − 9 = 4x + 7
10.4x + 1 = 3x + 2
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Solving equations: x on both sides

Solve each equation to find x.
Name

Solving equations: x on both sides

Name:
Date:
1.4x − 16 = 9x − 36
2.5x − 7 = 11x − 127
3.6x − 12 = 8x + 4
4.4x − 13 = 2x + 5
5.12x − 7 = 5x − 35
6.6x + 3 = 10x + 27
7.6x + 6 = x + 41
8.7x − 20 = 2x + 25
9.10x + 13 = 8x − 7
10.11x + 19 = 2x + 109
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Solving equations with brackets

Solve each equation to find x.
Name

Solving equations with brackets

Name:
Date:
1.6(x + 6) = 108
2.4(x + 8) = 48
3.4(x + 1) = 44
4.5(x + 10) = 100
5.5(x + 9) = 105
6.6(x + 10) = 78
7.2(x + 8) = 26
8.3(x + 1) = 9
9.5(x + 6) = 35
10.4(x + 6) = 52
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Solving equations with brackets

Solve each equation to find x.
Name

Solving equations with brackets

Name:
Date:
1.5(x + 1) = 3(x + 5)
2.2(5x + 13) = −14
3.3(x + 3) = 39
4.4(3x − 12) = 72
5.2(x + 12) = 3(x + 6)
6.5(5x − 15) = −375
7.3(3x − 4) = −57
8.5(x + 3) = 6(x + 1)
9.3(x − 15) = 7(x − 3)
10.6(x − 4) = 4(x + 4)
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Substitution

Work out the value of each expression.
Name

Substitution

Name:
Date:
1.Find the value of 3(a + b) when a = 3 and b = 3.
2.Find the value of ab + 2 when a = 2 and b = 9.
3.Find the value of 6ab when a = 9 and b = 4.
4.Find the value of 3a + 5b when a = 4 and b = 1.
5.Find the value of 6ab when a = 6 and b = 9.
6.Find the value of 4a + 4b when a = 1 and b = 7.
7.Find the value of ab + 5 when a = 7 and b = 7.
8.Find the value of ab + 3 when a = 3 and b = 6.
9.Find the value of 6ab when a = 3 and b = 1.
10.Find the value of 3ab when a = 3 and b = 8.
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Substitution

Work out the value of each expression.
Name

Substitution

Name:
Date:
1.Find the value of (a − b)² when a = 7 and b = 3.
2.Find the value of 2(a − b) when a = −6 and b = −6.
3.Find the value of a² + 3b when a = 7 and b = 2.
4.Find the value of 4a − 5b when a = −6 and b = 6.
5.Find the value of 9a + 2b when a = 8 and b = 2.
6.Find the value of a² + b² when a = 4 and b = −1.
7.Find the value of a³ − 2b when a = −5 and b = 4.
8.Find the value of 8a² − 3b when a = 7 and b = 9.
9.Find the value of 5a² + 8b² when a = −6 and b = 2.
10.Find the value of (a − b)² when a = −5 and b = 4.
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Sequences: the nth term

Each sequence goes up or down by the same amount every time. Answer each question.
Name

Sequences: the nth term

Name:
Date:
1.Find the 14th term of the sequence 18, 26, 34, 42, …
2.Find the 14th term of the sequence 18, 23, 28, 33, …
3.Find the 17th term of the sequence 12, 18, 24, 30, …
4.Find the 20th term of the sequence 1, 6, 11, 16, …
5.Find the 20th term of the sequence 1, 8, 15, 22, …
6.Find the 17th term of the sequence 20, 25, 30, 35, …
7.Find the 16th term of the sequence 18, 24, 30, 36, …
8.Find the 19th term of the sequence 6, 13, 20, 27, …
9.Find the 27th term of the sequence 20, 26, 32, 38, …
10.Find the 27th term of the sequence 13, 18, 23, 28, …
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Sequences: the nth term

Each sequence goes up or down by the same amount every time. Answer each question.
Name

Sequences: the nth term

Name:
Date:
1.What position is 570 in the sequence 9, 20, 31, 42, …
2.Find the 88th term of the sequence −4, −19, −34, −49, …
3.Find the 24th term of the sequence 14, 29, 44, 59, …
4.What position is 297 in the sequence 7, 17, 27, 37, …
5.Find the 36th term of the sequence 32, 35, 38, 41, …
6.What position is 225 in the sequence 17, 30, 43, 56, …
7.What position is 255 in the sequence 0, 5, 10, 15, …
8.What position is 465 in the sequence 42, 51, 60, 69, …
9.What position is 481 in the sequence 19, 30, 41, 52, …
10.What position is 171 in the sequence −5, 3, 11, 19, …
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Order of operations

Work out each answer. Remember: brackets, powers, × and ÷, then + and −.
Name

Order of operations

Name:
Date:
1.7 + 4 × 9 − 41 =
2.4 × 5 − 96 ÷ 8 =
3.55 − 8 × 5 =
4.4² − 6 × 1 =
5.42 ÷ 6 + 8 =
6.10² − 5 × 14 =
7.9 × (13 − 10) =
8.15 × (6 + 7) ÷ 5 =
9.20 + 3² × 3 =
10.5 × 8 − 56 ÷ 7 =
11.4 + 5² × 4 =
12.5 × 8 − 25 =
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Negative numbers

Work out each answer.
Name

Negative numbers

Name:
Date:
1.−45 ÷ (−5) =
2.−35 ÷ 7 =
3.−11 × 7 =
4.−10 ÷ (−2) =
5.−29 − (−5) =
6.−3 × 2 =
7.−80 ÷ (−10) =
8.3 × (−4) =
9.−11 × (−7) =
10.−3 × 10 =
11.36 ÷ (−4) =
12.−56 ÷ 7 =
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Algebra Revision Pack15crayonbird.com

Cornell notes

Take notes on the right, write questions and key words on the left, then sum it up at the bottom.
Name

Cornell notes

Name:
Date:
Topic: ________________________________Date: ____________
Questions / key words
Notes
Summary
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Mind map

Put the topic in the middle and branch out with ideas, facts and links.
Name

Mind map

Name:
Date:
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Algebra Revision Pack
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