Algebra and Equations

Question 1

Expand 3(2x + 5)

A 6x + 15 B 6x + 5 C 3x + 15 D 5x + 8

Question 2

Expand (x + 2)(x + 3)

A x² + 5x + 6 B x² + 6x + 5 C x² + 3x + 6 D x² + 5x + 5

Question 3

Factorise x² + 7x + 12

A (x + 3)(x + 4) B (x + 2)(x + 6) C (x + 1)(x + 12) D (x + 4)(x + 3)

Question 4

Solve 2x + 5 = 13

A x = 4 B x = 9 C x = 18 D x = 6

Question 5

Solve 3(x - 2) = 15

A x = 5 B x = 7 C x = 9 D x = 3

Question 6

Solve 5x - 2 = 2x + 10

A x = 2 B x = 4 C x = 6 D x = 8

Question 7

Factorise 2x² + 6x

A 2x(x + 3) B x(2x + 6) C 2(x² + 3x) D x(2x + 3)

Question 8

Expand (2x - 3)(x + 4)

A 2x² + 5x - 12 B 2x² + 8x - 12 C 2x² + 11x - 12 D 2x² + 5x + 12

Question 9

Solve 4x + 3 = 2x + 11

A x = 2 B x = 4 C x = 6 D x = 8

Question 10

Factorise x² - 25

A (x - 5)(x + 5) B (x - 5)(x - 5) C (x + 5)(x + 5) D (x - 25)(x + 1)

Question 11

Expand 2x(3x - 4)

A 6x² - 8 B 6x² - 8x C 5x² - 8x D 6x - 8

Question 12

If 3x + 2 = 17, what is the value of x?

A 5 B 10 C 15 D 19

Question 13

Factorise 3x² + 9x + 6

A 3(x² + 3x + 2) B 3(x + 1)(x + 2) C (3x + 2)(x + 3) D 3x(x + 3) + 6

Question 14

Expand (x - 2)²

A x² - 4 B x² - 4x + 4 C x² + 4 D x² - 2x + 4

Question 15

Solve 2(x + 3) = 16

A x = 5 B x = 8 C x = 10 D x = 13

Question 16

A rectangle has length (x + 5) cm and width 4 cm. If the perimeter is 42 cm, find x.

A x = 8 B x = 10 C x = 12 D x = 16

Question 17

Solve x/2 + 3 = 10

A x = 6 B x = 10 C x = 14 D x = 20

Question 18

Factorise 4x² - 9

A (2x - 3)(2x + 3) B (4x - 3)(x + 3) C (2x - 9)(2x + 1) D (4x - 9)(x + 1)

Question 19

If 5x - 7 = 3x + 5, find x.

A x = 1 B x = 3 C x = 6 D x = 12

Question 20

Expand 5(2x - 3) - 2(x + 4)

A 8x - 23 B 8x - 7 C 12x - 23 D 8x + 7

Question 21

Expand 10(x + 20).

A 10x + 20 B 10x − 200 C 10x + 200 D 30x

Question 22

Simplify: 11x + 12x

A 132x B -1x C 23x² D 23x

Question 23

Solve for x: 4x − 13 = 59

A -18 B 18 C 17 D 19

Question 24

Expand 7(x + 9).

A 16x B 7x + 9 C 7x − 63 D 7x + 63

Question 25

Solve for x: 5x + 10 = 50

A 8 B 7 C 9 D -8

Question 26

Solve for x: 2x + 8 = 24

A -8 B 9 C 7 D 8

Question 27

Solve for x: 9x − 2 = 52

A 6 B 5 C 7 D -6

Question 28

Evaluate 5x + 4 when x = 8.

A 17 B 46 C 44 D 42

Question 29

Solve for x: 9x − 18 = -81

A -7 B -8 C 7 D -6

Question 30

Solve for x: 5x − 8 = 7

A 2 B -3 C 4 D 3

Question 31

Solve for x: 12x + 18 = -6

A -3 B 2 C -1 D -2

Question 32

Simplify: 2x + 11x

A 13x² B 22x C -9x D 13x

Question 33

Solve for x: 2x + 18 = 22

A 3 B 2 C 1 D -2

Question 34

Evaluate 2x + 4 when x = -4.

A -2 B -4 C -6 D 2

Question 35

Solve for x: 12x − 11 = 73

A -7 B 6 C 7 D 8

Question 36

Evaluate 5x + 4 when x = -3.

A -13 B 6 C -11 D -9

Question 37

Solve for x: 7x + 17 = 101

A 11 B 13 C 12 D -12

Question 38

Evaluate 4x + 1 when x = 1.

A 5 B 7 C 3 D 6

Question 39

Expand 3(x + 19).

A 3x + 57 B 22x C 3x − 57 D 3x + 19

Question 40

Simplify: 9x + 14x

A 23x B -5x C 23x² D 126x

Question 41

Evaluate 4x + 10 when x = 0.

A 14 B 8 C 10 D 12

Question 42

Evaluate 4x + 9 when x = 6.

A 33 B 31 C 19 D 35

Question 43

Expand 5(x + 16).

A 5x + 80 B 5x − 80 C 21x D 5x + 16

Question 44

Solve for x: 9x − 19 = 152

A 18 B -19 C 20 D 19

Question 45

Solve for x: 2x + 1 = 13

A 5 B 6 C -6 D 7

Question 46

Evaluate 5x + 1 when x = 8.

A 43 B 41 C 39 D 14

Question 47

Evaluate 2x + 6 when x = 0.

A 6 B 4 C 8 D 6__0

Question 48

Solve for x: 6x − 11 = -59

A -7 B 8 C -8 D -9

Question 49

Expand 12(x + 13).

A 12x + 13 B 25x C 12x + 156 D 12x − 156

Question 50

Expand 7(x + 4).

A 7x + 28 B 7x + 4 C 11x D 7x − 28

Question 51

Solve for x: 5x − 18 = 72

A 19 B 17 C -18 D 18

Question 52

Solve for x: 10x − 6 = 34

A 4 B 5 C -4 D 3

Question 53

Simplify: 11x + 15x

A -4x B 26x C 26x² D 165x

Question 54

Expand 12(x + 11).

A 12x + 132 B 23x C 12x + 11 D 12x − 132

Question 55

Solve for x: 9x − 9 = 36

A -5 B 4 C 5 D 6

Question 56

Solve for x: 12x − 10 = 122

A 11 B 12 C -11 D 10

Question 57

Solve for x: 3x + 11 = 44

A 10 B 12 C 11 D -11

Question 58

Evaluate 6x + 6 when x = 4.

A 30 B 28 C 16 D 32

Question 59

Solve for x: 10x + 6 = -44

A 5 B -5 C -4 D -6

Question 60

Solve for x: 11x + 10 = 21

A 0 B 1 C 2 D -1

Question 61

Solve for x: 8x + 1 = 57

A 8 B 6 C 7 D -7

Question 62

Simplify: 9x + 19x

A 171x B -10x C 28x² D 28x

Question 63

Simplify: 9x + 18x

A -9x B 27x C 27x² D 162x

Question 64

Solve for x: 2x − 18 = 4

A 12 B 10 C -11 D 11

Question 65

Solve for x: 8x + 4 = 52

A 7 B 5 C -6 D 6

Question 66

Simplify: 12x + 1x

A 12x B 13x C 13x² D 11x

Question 67

Evaluate 2x + 7 when x = -4.

A -1 B -3 C 1 D 5

Question 68

Simplify: 2x + 3x

A 5x² B 5x C -1x D 6x

Question 69

Solve for x: 8x − 13 = 67

A 11 B 10 C 9 D -10

Question 70

Solve for x: 3x − 16 = 38

A 17 B 19 C 18 D -18

Question 71

Evaluate 7x + 4 when x = 7.

A 53 B 18 C 51 D 55

Question 72

Expand 10(x + 6).

A 16x B 10x + 6 C 10x + 60 D 10x − 60

Question 73

Solve for x: 3x − 12 = -3

A 3 B 4 C 2 D -3

Question 74

Evaluate 7x + 2 when x = -4.

A -28 B 5 C -24 D -26

Question 75

Evaluate 6x + 3 when x = 2.

A 13 B 11 C 15 D 17

Question 76

Solve for x: 9x − 1 = 179

A 19 B 21 C 20 D -20

Question 77

Evaluate 7x + 1 when x = -2.

A -11 B -13 C -15 D 6

Question 78

Solve for x: 12x − 17 = 19

A 3 B 2 C 4 D -3

Question 79

Simplify: 3x + 2x

A 5x² B 6x C 5x D 1x

Question 80

Solve for x: 12x − 19 = 197

A -18 B 19 C 17 D 18

Question 81

Solve for x: 8x + 10 = 2

A -1 B -2 C 1 D 0

Question 82

Solve for x: 11x + 15 = 213

A 19 B 17 C 18 D -18

Question 83

Expand 11(x + 1).

A 11x + 1 B 12x C 11x − 11 D 11x + 11

Question 84

Solve for x: 5x − 2 = 63

A 12 B -13 C 13 D 14

Question 85

Evaluate 8x + 9 when x = 5.

A 47 B 49 C 22 D 51

Question 86

Solve for x: 7x + 10 = 31

A 3 B 4 C -3 D 2

Question 87

Expand 4(x + 9).

A 4x + 36 B 4x + 9 C 4x − 36 D 13x

Question 88

Solve for x: 7x + 17 = -18

A -4 B -6 C 5 D -5

Question 89

Simplify: 9x + 12x

A 21x B 108x C 21x² D -3x

Question 90

Simplify: 2x + 19x

A 21x² B 38x C -17x D 21x

Question 91

Solve for x: 7x − 9 = 68

A -11 B 11 C 12 D 10

Question 92

Evaluate 3x + 10 when x = 5.

A 25 B 23 C 27 D 18

Question 93

Solve for x: 3x + 6 = 6

A 0 B 0__0 C -1 D 1

Question 94

Simplify: 11x + 4x

A 7x B 44x C 15x² D 15x

Question 95

Solve for x: 9x − 11 = 61

A -8 B 8 C 9 D 7

Question 96

Solve for x: 11x − 8 = -74

A -6 B 6 C -7 D -5

Question 97

Expand 10(x + 8).

A 18x B 10x + 8 C 10x − 80 D 10x + 80

Question 98

Solve for x: 4x − 15 = 53

A 16 B 18 C -17 D 17

Question 99

Evaluate 6x + 7 when x = 3.

A 23 B 16 C 27 D 25

Question 100

Expand 8(x + 20).

A 8x + 20 B 8x − 160 C 28x D 8x + 160

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