Free Printable Expansion of brackets

1.

10(f + 5)

a)

10f + 50

b)

f + 50

c)

10f + 5

d)

b + c

2.

5(6 + cd)

a)

30 + 5cd

b)

5 + c

c)

11 + 5c

3.

30(g + f)

a)

30g + 30f

b)

30g

c)

30f

4.

Which of the following is the correct expansion of:
5(r - 2)?

a)

5r - 2

b)

5r +2

c)

5r + 10

d)

5r - 10

5.

Which of the following is the correct expansion of:
a(a - 10)?

a)

a² - 10a

b)

2a - 10

c)

2a² - 10

d)

a - 10a²

6.

Which of the following is the correct expansion of:
3p(4p - 7q)?

a)

7p - 10pq

b)

12pq - 21q²

c)

9q

d)

12p² - 21pq

7.

2(3 + a)

a)

6 + 2a

b)

5 + a

c)

5 + 2a

d)

6 + a

8.

3(b + c)

a)

3b + 3c

b)

3b + c

c)

3 + 3c

d)

b + c

9.

4(d + e)

a)

4d + 4e

b)

4d + e

c)

4 + 4e

d)

d + e

10.

3(4 + c)

a)

12 + 3c

b)

7 + c

c)

3 + 3c

d)

4 + c

11.

3x(x+1)

a)

3x²+1

b)

3x²+3x

c)

3x+1

12.

-2a(3+b)

a)

-6a-2ab

b)

-6a+2ab

13.

Expand 4(b + 3)

a)

4b² + 7

b)

4b + 7

c)

4b + 12

d)

4(b + 7)

14.

Expand 5(c + 2)

a)

5c + 10

b)

5c² + 2

c)

5c + 2

d)

5c + 7

15.

Expand 2(2z - 4)

a)

2z² - 8

b)

4z² - 8

c)

4z - 4

d)

4z - 8

16.

Expand 3(4d - 3)

a)

12d - 9

b)

7d - 6

c)

34d - 33

d)

12d² - 9

17.

Expand -5(r + 2)

a)

-5r + 10

b)

-5r - 10

c)

-5r - 7

d)

5r + 10

18.

Expand -5(4v + 3)

a)

20v - 15

b)

-54v - 53

c)

-20v + 15

d)

-20v - 15

19.

Expand 3z(4z + 6)

a)

12z² + 18z

b)

34z² + 18

c)

12z² + 18

d)

12z² - 18z

20.

Expand m(7m - 2)

a)

7m - 2m

b)

7m² - 2m

c)

7m - 2

d)

7m² - 2

21.

7(g + 3)

a)

7g + 3

b)

7g + 21

c)

10g

d)

g + 21

22.

4(2t - 5)

a)

8t - 20

b)

8t - 5

c)

6t - 20

d)

8t + 20

23.

10(f + 5)

a)

10f + 5

b)

f + 50

c)

10f + 50

d)

b + c

24.

5(6 + cd)

a)

30 + 5cd

b)

30 + cd

c)

11 + 5cd

d)

56 + 5cd

25.

Which of the following is the correct expansion of:
a(a - 10)?

a)

a² - 10a

b)

2a - 10

c)

2a² - 10

d)

a - 10a²

26.

3x(x+1)

a)

3x²+1

b)

3x²+3x

c)

3x+1

27.

Expand 4(b + 3)

a)

4b² + 7

b)

4b + 7

c)

4b + 12

d)

7b

28.

Expand 2(2z - 4)

a)

2z² - 8

b)

4z² - 8

c)

4z + 8

d)

4z - 8

29.

Expand 3(4d - 3)

a)

12d - 9

b)

7d - 6

c)

34d - 33

d)

12d² - 9

30.

Expand m(7m - 2)

a)

7m - 2m

b)

7m² - 2m

c)

7m - 2

d)

7m² - 2

31.

Expand 6(2x - 3)

a)

12x - 18

b)

12x + 18

c)

8x - 18

d)

8x - 9

32.

Expand 3z(4z + 6)

a)

12z² + 18z

b)

34z² + 18

c)

12z² + 18

d)

12z² - 18z

33.

$9\left(y+1\right)-4\left(y-2\right)=$

a)

$5y+17$

b)

$5y-17$

c)

$5y+1$

d)

$5y-1$

34.

$3\left(2-q\right)-5\left(q+4\right)=$

a)

$-8q-14$

b)

$-8q+26$

c)

$-2q-14$

d)

$-2q+26$

35.

$6\left[2\left(2-y\right)-3y\right]=$

a)

$24-30y$

b)

$24-24y$

c)

$12-30y$

d)

$24-15y$

36.

Expand and simplify 4(x + 2) + 3(x + 5)

a)

7x + 23

b)

7x + 7

c)

7x + 15

d)

7x

37.

Expand t(t + 3)

a)

t² + 3

b)

t² + 3t

c)

3t

d)

t3

38.

Which of the following is the correct expansion of:
a(a - 10)?

a)

a² - 10a

b)

2a - 10

c)

2a² - 10

d)

a - 10a²

39.

-2a(3+b)

a)

-6a-2ab

b)

-6a+2ab

40.

Expand and simplify:

3a (2a - 4a²b)

a)

6a² - 4a²b

b)

6a² - 12a³b

c)

3a2a - 12a²b

d)

6a - 4a²b

41.

Expand and simplify the following quadratic expression...

(x + 3)(x + 8)

a)

x² + 11x + 24

b)

x² + 11x + 11

c)

x² + 24x + 11

d)

x² + 24x + 24

42.

Expand and simplify the following quadratic expression...

(x - 3)(x + 8)

a)

x² + 5x - 24

b)

x² - 5x - 24

c)

x² + 5x + 24

d)

x² - 5x + 24

43.

(3x+2)(2x +3)

a)

6x²+ 6x + 6

b)

5x² + 11x + 6

c)

6x² + 13x + 6

d)

6x²+ 13x + 5

44.

5(2h + 1) - 2(h + 2)

a)

8h + 1

b)

8h - 1

c)

8h + 3

d)

8h +9

45.

3(4a + 5) - 4(2a -1)

a)

6a + 4

b)

4a +19

c)

20a + 11

d)

4a + 11

46.

Expand and Simplify 2(x+2)-2(x+3)

a)

2

b)

4x+8

c)

-2

d)

4x-6

47.

Expand and Simplify $4\left(x+2\right)-3\left(x+1\right)$

a)

x+3

b)

7x+1

c)

x+5

d)

5x+11

48.

Simplify: 4(x+3)+3(x-3)

a)

7x + 3

b)

7x + 21

c)

7x - 9

d)

7x - 12

49.

Which of the following is the correct expansion of:
3p(4p - 7q)?

a)

7p - 10pq

b)

12pq - 21q²

c)

9q

d)

12p² - 21pq

50.

5x + 8y - 3x - 15y

a)

2x - 7y

b)

8x + 23y

c)

8x - 23y

d)

2x + 7y

51.

The length of a rectangle is (2w + 4). Its width is 5. Write a simplified expression for its area.

a)

5 (2w + 4)

b)

(2w + 4)+ (2w + 4)+(2w + 4)+ (2w + 4)+ (2w + 4)

c)

(2w + 4) + 5

d)

5 + (2w + 4)

52.

Which of the following is the correct expansion of:
3p(4p - 7q)?

a)

7p - 10pq

b)

12pq - 21q²

c)

9q

d)

12p² - 21pq

53.

$-3\left(6y-1\right)=$

a)

$-18y_{ }+1$

b)

$-18y+3$

c)

$-18y-3$

d)

$18y+3$

54.

$-5\left(2-3y\right)=$

a)

$-10+15y$

b)

$-10-15y$

c)

$10-15y$

d)

$10+15y$

55.

Expand and simplify the following quadratic expression...

(x + 3)(x + 2)

a)

x² + 5x + 6

b)

x² + 5x + 5

c)

x² + 6x + 6

d)

x² + 6x + 5

56.

Expand and simplify the following quadratic expression...

(x + 4)(x + 6)

a)

x² + 10x + 24

b)

x² + 10x + 10

c)

x² + 24x + 10

d)

x² + 24x + 24

57.

Expand and simplify the following quadratic expression...

(x + 3)(x + 8)

a)

x² + 11x + 24

b)

x² + 11x + 11

c)

x² + 24x + 11

d)

x² + 24x + 24

58.

Expand and simplify the following quadratic expression...

(x - 3)(x + 8)

a)

x² + 5x - 24

b)

x² - 5x - 24

c)

x² + 5x + 24

d)

x² - 5x + 24

59.

Expand and simplify the following quadratic expression...

(x - 8)(x + 8)

a)

x² + 16x - 64

b)

x² + 16x + 64

c)

x² - 16x + 64

d)

x² - 64

60.

Expand and simplify the following quadratic expression...

(x - 6)(x + 5)

a)

x² + x - 30

b)

x² - x - 30

c)

x² + x + 30

d)

x² - x + 30

61.

Expand and simplify the following quadratic expression...

(x - 6)(x - 4)

a)

x² - 10x + 24

b)

x² - 10x - 24

c)

x² + 10x - 24

d)

x² + 10x + 24

62.

Expand and simplify the following quadratic expression...

(x + 10)(x + 4)

a)

x² + 14x + 40

b)

x² + 18x + 14

c)

x² + 40x + 14

d)

x² + 10x + 40

63.

Expand and simplify the following quadratic expression...

(x + 2)(x - 2)

a)

x² - 4

b)

x² + 4

c)

x² - 4x - 4

d)

x² + 4x - 4

64.

Expand and simplify the following quadratic expression...

(x + 7)(x - 7)

a)

x² - 49

b)

x² + 14x - 49

c)

x² - 14x - 49

d)

x² - 14x + 49

65.

Expand and simplify the following quadratic expression...

(x + 7)²

a)

x² + 49

b)

x² + 14x + 49

c)

x² + 49x + 14

d)

x² + 7x + 49

66.

Expand and simplify the following quadratic expression...

(x + 4)²

a)

x² + 16

b)

x² + 8x + 16

c)

x² + 4x + 16

d)

x² + 16x + 8

67.

Expand (x + 5)(x + 4)

a)

x² + 9x + 20

b)

x² + 20x + 20

c)

5x² + 20

d)

x² + 6x + 9

68.

(x+2)(x+3)

a)

x² + 5x + 6

b)

x² + 6x + 5

c)

x²+ 7x + 5

d)

x² + 6x + 6

69.

(x+3)(x+11)

a)

x²+30x+14

b)

x²+14x +30

c)

14x+33+x²

d)

3x²+11x+33

70.

(x+9)(x-9)

a)

x²-18x-81

b)

x²-81

c)

x²+81

d)

x²+18x-81

71.

Expand
(4n - 5)(2n + 5)

a)

8n² + 10n - 25

b)

56n² + 4n - 16

c)

7n² + 27n - 4

d)

56n² - 16

72.

Expand and simplify

(p + 5) (p - 1)

a)

p² + 4p - 4

b)

p² + 6p - 4

c)

p² + 4p - 5

d)

p² - 4p - 5

73.

Expand and simplify

(h + 7)²

a)

h + 49

b)

h² + 14h

c)

h²+ 49

d)

h² + 14h + 49

74.

A square has side length (n - 1) cm

Which expression is the area of the square in cm²?

a)

n^2+1

b)

$n^2-1$

c)

$n^2-2n-1$

d)

$n^2-2n+1$

75.

Which of the following answers shows a correct expansion and simplification of the expression below?
$\left(x-3\right)^2$

a)

$x^2-6x-9$

b)

$x^2-9$

c)

$x^2+9$

d)

$x^2-6x+9$

76.

-3\left(2x+4\right)

a)

$-6x-12$

b)

$-6x+12$

c)

$-6x+4$

d)

$6x+12$

77.

-7\left(10t-1\right)

a)

$-70t-7$

b)

$-70t+7$

c)

$-70t-1$

d)

$70t-7$

78.

-4\left(8-2x+y\right)

a)

$32-8x+4y$

b)

$-32+2x-y$

c)

$-32+8x-4y$

d)

$-32+8x+4y$

79.

4\left(5m-8t+1\right)

a)

$20m-32t-4$

b)

$20m+32t+4$

c)

$20m-8t+1$

d)

$20m-32t+4$

80.

5\times\left(p-q\right)

a)

$5p-5q$

b)

$5p-q$

c)

$5pq$

d)

$5+p-q$

81.

6\left(2q+5p\right)

a)

$12q+5p$

b)

$12q+30p$

c)

$18q+30p$

d)

$6+2q+5p$

82.

9\left(2x+y\right)

a)

$2x+9y$

b)

$9x+y$

c)

$18x+9y$

d)

$18x+y$

83.

5\left(3y-2\right)

a)

$15y+10$

b)

$25y-10$

c)

$15y-2$

d)

$15y-10$

84.

Expand 3(x-3)

a)

3x+6

b)

3x-3

c)

3x+9

d)

3x-9

85.

Expand 4(x+2)

a)

4x+4

b)

4x+2

c)

4x+8

d)

4x+6

Expansion of brackets

Total questions: 85

Worksheet time: 2hrs 34mins

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