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 dot array labelled with rows and columns. — Arrays show equal rows and columns for multiplication and division.

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.

Compare the opening with the 90 degree corner at the same vertex.

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

Solve for x: 5x − 13 = 52

A 12 B -13 C 13 D 14

Question 22

Solve for x: 11x − 3 = -58

A -5 B -6 C -4 D 5

Question 23

Expand 9(x + 1).

A 10x B 9x + 1 C 9x + 9 D 9x − 9

Question 24

Expand 9(x + 20).

A 9x + 20 B 29x C 9x + 180 D 9x − 180

Question 25

Solve for x: 2x − 2 = 30

A 17 B -16 C 16 D 15

Question 26

Simplify: 3x + 8x

A 11x B -5x C 11x² D 24x

Question 27

Evaluate 3x + 2 when x = -4.

A -10 B -8 C -12 D 1

Question 28

Solve for x: 12x + 2 = 242

A 21 B 19 C 20 D -20

Question 29

Solve for x: 10x + 8 = -82

A -8 B -9 C 9 D -10

Question 30

Evaluate 3x + 7 when x = -1.

A 9 B 6 C 4 D 2

Question 31

Expand 7(x + 1).

A 7x + 7 B 7x − 7 C 7x + 1 D 8x

Question 32

Evaluate 3x + 10 when x = 5.

A 27 B 23 C 25 D 18

Question 33

Practice card 2: Simplify: 9x + 11x

A -2x B 20x C 20x² D 99x

Question 34

Solve for x: 7x − 9 = -37

A -4 B 4 C -3 D -5

Question 35

Expand 6(x + 13).

A 6x − 78 B 19x C 6x + 78 D 6x + 13

Question 36

Evaluate 4x + 9 when x = 6.

A 35 B 33 C 31 D 19

Question 37

Solve for x: 2x + 16 = 50

A -17 B 18 C 16 D 17

Question 38

Evaluate 7x + 7 when x = 8.

A 22 B 63 C 61 D 65

Question 39

Expand 2(x + 1).

A 3x B 2x + 1 C 2x + 2 D 2x − 2

Question 40

Simplify: 2x + 1x

A 2x B 3x C 3x² D 1x

Question 41

Solve for x: 4x + 2 = 62

A 14 B 16 C 15 D -15

Question 42

Evaluate 5x + 7 when x = -4.

A 8 B -15 C -13 D -11

Question 43

Practice card 2: Simplify: 11x + 6x

A 66x B 17x C 5x D 17x²

Question 44

Practice card 2: Simplify: 12x + 19x

A 31x² B 228x C 31x D -7x

Question 45

Solve for x: 3x − 13 = 5

A 7 B 6 C 5 D -6

Question 46

Expand 5(x + 5).

A 5x − 25 B 5x + 25 C 10x D 5x + 5

Question 47

Solve for x: 3x − 6 = 45

A 16 B 17 C 18 D -17

Question 48

Solve for x: 5x − 6 = -46

A 8 B -9 C -8 D -7

Question 49

Solve for x: 10x + 6 = 96

A 9 B 8 C -9 D 10

Question 50

Expand 7(x + 10).

A 7x + 70 B 17x C 7x + 10 D 7x − 70

Question 51

Simplify: 4x + 13x

A -9x B 17x C 17x² D 52x

Question 52

Practice card 2: Evaluate 4x + 8 when x = -2.

A 2 B 10 C -2 D 0

Question 53

Expand 7(x + 6).

A 7x + 42 B 7x + 6 C 13x D 7x − 42

Question 54

Solve for x: 8x − 19 = -27

A 1 B -2 C -1 D 0

Question 55

Solve for x: 6x + 11 = 23

A 2 B 3 C 1 D -2

Question 56

Evaluate 4x + 5 when x = 6.

A 15 B 29 C 31 D 27

Question 57

Evaluate 3x + 5 when x = 4.

A 17 B 12 C 19 D 15

Question 58

Solve for x: 10x + 19 = 119

A 9 B 10 C 11 D -10

Question 59

Simplify: 6x + 9x

A 15x² B -3x C 54x D 15x

Question 60

Solve for x: 5x − 13 = 62

A 16 B -15 C 15 D 14

Question 61

Practice card 2: Evaluate 4x + 1 when x = 0.

A -1 B 5 C 3 D 1

Question 62

Evaluate 3x + 10 when x = 3.

A 17 B 16 C 19 D 21

Question 63

Solve for x: 8x − 9 = 7

A 2 B 3 C -2 D 1

Question 64

Expand 2(x + 6).

A 8x B 2x + 12 C 2x + 6 D 2x − 12

Question 65

Solve for x: 10x − 15 = 65

A -8 B 8 C 9 D 7

Question 66

Simplify: 10x + 10x

A 0x B 100x C 20x D 20x²

Question 67

Simplify: 12x + 6x

A 72x B 6x C 18x D 18x²

Question 68

Practice card 3: Simplify: 10x + 13x

A -3x B 23x² C 23x D 130x

Question 69

Evaluate 5x + 2 when x = 2.

A 14 B 9 C 10 D 12

Question 70

Practice card 2: Expand 11(x + 20).

A 11x + 220 B 11x − 220 C 31x D 11x + 20

Question 71

Simplify: 3x + 14x

A 17x² B 17x C -11x D 42x

Question 72

Practice card 2: Expand 5(x + 13).

A 5x + 65 B 5x + 13 C 18x D 5x − 65

Question 73

Expand 10(x + 16).

A 10x + 160 B 10x − 160 C 26x D 10x + 16

Question 74

Evaluate 3x + 8 when x = 1.

A 9 B 11 C 13 D 12

Question 75

Evaluate 3x + 4 when x = 9.

A 31 B 29 C 33 D 16

Question 76

Solve for x: 6x + 15 = 129

A 18 B 19 C 20 D -19

Question 77

Solve for x: 11x − 2 = 196

A 17 B 18 C -18 D 19

Question 78

Solve for x: 10x − 4 = 176

A 17 B 18 C 19 D -18

Question 79

Evaluate 5x + 10 when x = 8.

A 23 B 48 C 52 D 50

Question 80

Solve for x: 7x − 11 = -53

A -6 B 6 C -7 D -5

Question 81

Evaluate 4x + 6 when x = 8.

A 40 B 36 C 18 D 38

Question 82

Evaluate 2x + 9 when x = 1.

A 12 B 11 C 9 D 13

Question 83

Evaluate 2x + 8 when x = 9.

A 26 B 19 C 28 D 24

Question 84

Solve for x: 12x − 17 = 151

A 15 B -14 C 14 D 13

Question 85

Simplify: 2x + 13x

A 15x B 15x² C -11x D 26x

Question 86

Solve for x: 9x + 18 = 108

A -10 B 9 C 10 D 11

Question 87

Solve for x: 6x + 19 = 31

A 1 B 2 C 3 D -2

Question 88

Simplify: 3x + 11x

A 14x² B 33x C 14x D -8x

Question 89

Practice card 2: Evaluate 6x + 8 when x = -3.

A -12 B -10 C -8 D 11

Question 90

Solve for x: 9x + 13 = 112

A 10 B 11 C -11 D 12

Question 91

Simplify: 5x + 17x

A -12x B 85x C 22x² D 22x

Question 92

Simplify: 4x + 1x

A 3x B 5x C 4x D 5x²

Question 93

Solve for x: 5x + 3 = -27

A -7 B 6 C -6 D -5

Question 94

Solve for x: 8x − 4 = -76

A -9 B -10 C -8 D 9

Question 95

Evaluate 6x + 9 when x = 2.

A 23 B 21 C 17 D 19

Question 96

Solve for x: 6x − 3 = 81

A 13 B 15 C -14 D 14

Question 97

Solve for x: 12x − 1 = 239

A 19 B 21 C 20 D -20

Question 98

Practice card 2: Evaluate 2x + 10 when x = 10.

A 28 B 32 C 30 D 22

Question 99

Solve for x: 3x − 15 = 0

A 6 B 4 C 5 D -5

Question 100

Solve for x: 3x + 17 = 77

A -20 B 19 C 21 D 20

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