Free Printable Algebraic Booster

1.

Expand $7\left(a+4\right)$

(a)

2.

Expand $-3\left(b+7\right)$

(a)

3.

Expand $\left(x+2\right)\left(x+3\right)$

a)

$x^2+6x+5$

b)

$x^2+5x+6$

c)

$2x+5x+6$

d)

$x^2-5x+6$

4.

$\left(y+1\right)\left(y+3\right)$

a)

$y^2+4y+4$

b)

$y^2+4y+3$

c)

$x^2+4x+3$

d)

$y^2+3y+4$

5.

Expand $\left(k+2\right)\left(k+8\right)$

a)

$k^2+10k+10$

b)

$k^2+16k-16$

c)

$k^2+10k+16$

d)

$k^3+10k+16$

6.

Expand $\left(x+3\right)^2$

a)

$x^2+3$

b)

$x^2+9$

c)

$x^2+6x+9$

d)

$x^2-6x+9$

7.

Expand $\left(x+5\right)\left(x-2\right)$

a)

$x^2+3x+10$

b)

$x^2-3x+10$

c)

$x^2+3x-10$

d)

$x^2-3x-10$

8.

Expand $\left(p+6\right)\left(p-3\right)$

a)

$p^2+3p\ -18$

b)

$p^2-3p-18$

c)

$p^2+3p\ +3$

d)

$p^2-18$

9.

Expand $\left(y+5\right)\left(y-5\right)$

a)

$y^2-25$

b)

$y^2+25$

c)

$y^2-10y\ +25$

d)

$y^2-10y-25$

10.

Write an expression for the area of the shape

a)

$2m^2+6m+4$

b)

$m^2+6m+4$

c)

$2m^2+6m-4$

d)

$2m^2-6m+4$

11.

10(f + 5)

a)

10f + 50

b)

f + 50

c)

10f + 5

d)

b + c

12.

5(6 + cd)

a)

30 + 5cd

b)

5 + c

c)

11 + 5c

13.

30(g + f)

a)

30g + 30f

b)

30g

c)

30f

14.

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

a)

5r - 2

b)

5r +2

c)

5r + 10

d)

5r - 10

15.

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

a)

a² - 10a

b)

2a - 10

c)

2a² - 10

d)

a - 10a²

16.

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

a)

7p - 10pq

b)

12pq - 21q²

c)

9q

d)

12p² - 21pq

17.

2(3 + a)

a)

6 + 2a

b)

5 + a

c)

5 + 2a

d)

6 + a

18.

3(b + c)

a)

3b + 3c

b)

3b + c

c)

3 + 3c

d)

b + c

19.

4(d + e)

a)

4d + 4e

b)

4d + e

c)

4 + 4e

d)

d + e

20.

3(4 + c)

a)

12 + 3c

b)

7 + c

c)

3 + 3c

d)

4 + c

21.

3x(x+1)

a)

3x²+1

b)

3x²+3x

c)

3x+1

22.

-2a(3+b)

a)

-6a-2ab

b)

-6a+2ab

23.

Expand 4(b + 3)

a)

4b² + 7

b)

4b + 7

c)

4b + 12

d)

4(b + 7)

24.

Expand 5(c + 2)

a)

5c + 10

b)

5c² + 2

c)

5c + 2

d)

5c + 7

25.

Expand 2(2z - 4)

a)

2z² - 8

b)

4z² - 8

c)

4z - 4

d)

4z - 8

26.

Expand -3(4d - 3)

a)

-12d + 9

b)

7d - 6

c)

34d - 33

d)

-12d - 9

27.

Expand -5(r + 2)

a)

-5r + 10

b)

-5r - 10

c)

-5r - 7

d)

5r + 10

28.

Expand -5(4v + 3)

a)

20v - 15

b)

-54v - 53

c)

-20v + 15

d)

-20v - 15

29.

Expand 3z(4z + 6)

a)

12z² + 18z

b)

34z² + 18

c)

12z² + 18

d)

12z² - 18z

30.

Expand m(7m - 2)

a)

7m - 2m

b)

7m² - 2m

c)

7m - 2

d)

7m² - 2

31.

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

32.

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

33.

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

34.

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

35.

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

36.

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

37.

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

38.

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

39.

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

40.

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

41.

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

42.

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

43.

Expand (x + 5)(x + 4)

a)

x² + 9x + 20

b)

x² + 20x + 20

c)

5x² + 20

d)

x² + 6x + 9

44.

(x+2)(x+3)

a)

x² + 5x + 6

b)

x² + 6x + 5

c)

x²+ 7x + 5

d)

x² + 6x + 6

45.

(x+3)(x+11)

a)

x²+30x+14

b)

x²+14x +30

c)

14x+33+x²

d)

3x²+11x+33

46.

(x+9)(x-9)

a)

x²-18x-81

b)

x²-81

c)

x²+81

d)

x²+18x-81

47.

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

a)

8n² + 10n - 25

b)

56n² + 4n - 16

c)

7n² + 27n - 4

d)

56n² - 16

48.

Expand and simplify

(p + 5) (p - 1)

a)

p² + 4p - 4

b)

p² + 6p - 4

c)

p² + 4p - 5

d)

p² - 4p - 5

49.

Solve the equation:

3(y + 4) = 18

a)

3

b)

2

c)

4

d)

18

50.

10(f + 5)

a)

10f + 50

b)

f + 50

c)

10f + 5

d)

b + c

51.

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

a)

a² - 10a

b)

2a - 10

c)

2a² - 10

d)

a - 10a²

52.

8(x+3)+x

a)

12x

b)

8x+3x

c)

9x+24

d)

$8x^2+24$

53.

Expand 4(b + 3)

a)

4b² + 7

b)

4b + 7

c)

4b + 12

d)

7b

54.

2d + 7 = 9

a)

1

b)

7

c)

4

d)

3

55.

2s - 4 = 6

a)

5

b)

3

c)

-5

d)

2

56.

Solve. x/4 + 11 = 20

a)

9

b)

36

c)

9/4

d)

31/4

57.

11b+7=40

a)

2

b)

1

c)

4

d)

3

58.

Level 2

Solve for a

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

59.

Solve for x:

$6x+1=13$

(a)

60.

Solve for x:

$5x-2=13$

(a)

61.

Solve for y:

$14=3y-4$

(a)

62.

Solve for m:

$7m-1=6$

(a)

63.

Solve for x:

$\frac{x}{3}-4=1$

(a)

64.

Expand: (a+b)(c+d)

(a)

65.

Expand: (a-b)(c+d)

(a)

66.

Expand using the area model:

a)

ab+7a+2b+14

b)

ab+2a+7b+17

c)

ba+b2+7a+14

d)

ab+2b+7a+17

67.

Expand these brackets:

a)

2x+6

b)

2x+12

c)

x+12

d)

2x+8

68.

Expand these brackets:

a)

5k-1

b)

5k+1

c)

5k+5

d)

5k-5

69.

Expand these brackets:

a)

2m+21

b)

6m+7

c)

6m+21

d)

6m-7

70.

Expand these brackets:

a)

$11a^2+8$

b)

$11a^2-8$

c)

$11^2-8a$

d)

$11a^2+8a$

71.

Expand these brackets:

a)

10x-3

b)

$4x^2+3x-2$

c)

$5x^2-3x$

d)

$4x^2+3x-3$

72.

? = ab+ac

(a)

73.

Expand:

(a)

74.

The factorisation of 6x + 12y is :-

a)

6(x+2y)

b)

2(3x+12y)

c)

3(x+4y)

d)

none of these

75.

How does expansion works when there are two brackets?

a)

Every term in the first bracket will be subtracted with every term in the second and third bracket.

b)

Every term in the first bracket will be multiplied with every term in the second bracket.

c)

Use BODMAS.

d)

Adding of one or two expressions in brackets.

76.

Expand 3(2x-5)

a)

6x-8

b)

5x-15

c)

6x-15

d)

6x-5

77.

Expanding brackets: 2x(8x²+6x)

a)

16x³+12x²

b)

16x²+12X

c)

16x+12x

d)

16+12

78.

Factorise: 4a+8ab

(a)

79.

Factorise: x²-5x

a)

x(x-5)

b)

x(x-5x)

c)

(x-5x)²

d)

x(5-5)

80.

Expand the brackets: 2x(10+15x²)

a)

20x+15x²

b)

20x+15x³

c)

2x+30x²

d)

20x+30x³

81.

6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

82.

Factorsie fully: 20x + 30

a)

10(2x+3)

b)

10(x+3)

c)

5(4x+6)

d)

2(10x+15)

83.

Factorise fully: ab + 4b

a)

a(b+4)

b)

b(a+4)

c)

ab(1+4)

d)

b(a+4b)

84.

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

85.

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

86.

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

a)

8n² + 10n - 25

b)

56n² + 4n - 16

c)

7n² + 27n - 4

d)

56n² - 16

87.

Expand 2(x+3)

a)

2x+6

b)

2x+3

88.

Expand 3(x+4)

a)

3x+12

b)

3x+4

89.

Expand 4(2x+3)

a)

8x+12

b)

4x+12

90.

Expand x(x+2)

a)

x²+2x

b)

2x +2

91.

Expand 2x(x+3)

a)

2x²+6x

b)

2x²+6

92.

Factorise 6x+4

a)

2(x+4)

b)

2(3x+2)

93.

Factorise 4x+12

a)

4(x+3)

b)

4(x+12)

94.

Factorise 2x+8

a)

2(x+4)

b)

2(x+8)

95.

Factorise x²+4x

a)

x(x+4)

b)

4x(x+1)

96.

Factorise 3x²+12x

a)

3x(x+4)

b)

3(x²+4)

97.

Expand 2(x+3)

a)

2x+6

b)

2x+3

98.

Factorise 4x+12

a)

4(x+3)

b)

4(x+12)

99.

Expand 2x(x+3)

a)

2x²+6x

b)

2x²+6

100.

Factorise 3x²+12x

a)

3x(x+4)

b)

3(x²+4)

101.

Factor: x² + 13x + 30

a)

(x + 3)(x + 10)

b)

(x + 5)(x + 6)

c)

(x + 2)(x + 15)

d)

(x + 1)(x + 30)

102.

Factor: x² - 2x - 24

a)

(x + 6)(x - 4)

b)

(x + 4)(x - 6)

c)

(x - 4)(x - 6))

d)

(x - 3)(x + 8)

103.

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

104.

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

105.

Factorise the following quadratic expression...

x² + 12x + 32

a)

(x + 16)(x + 2)

b)

(x + 8)(x + 4)

c)

(x + 6)(x + 6)

d)

(x + 32)(x + 1)

106.

Factorise the following quadratic expression...

x² + 13x + 40

a)

(x + 8)(x + 5)

b)

(x + 10)(x + 4)

c)

(x + 20)(x + 2)

d)

(x + 40)(x + 1)

107.

Expand and simplify the expression...

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

a)

9x² + 6x - 8

b)

9x² + 18x - 8

c)

9x² - 6x - 8

d)

9x² + 6x - 6

108.

Expand and simplify the expression...

(2x - 3)(x - 3)

a)

2x² - 9x + 9

b)

2x² + 9x + 9

c)

2x² - 9x - 9

d)

2x² + 9x - 9

109.

Expand and simplify the expression...

(5x - 1)(x - 4)

a)

5x² - 21x + 4

b)

5x² - 19x + 4

c)

5x² - 21x - 4

d)

5x² - 19x - 4

110.

Expand and simplify the expression...

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

a)

6x² + 13x + 6

b)

6x² + 13x + 5

c)

6x² + 12x + 6

d)

5x² + 13x + 5

111.

Factorise the expression...

2x² + 5x + 3

a)

(2x + 3)(x + 1)

b)

(2x - 3)(x - 1)

c)

(2x + 1)(x + 3)

d)

(2x + 5)(x + 1)

112.

Factorise the expression...

5x² + 12x - 3

a)

(5x - 1)(x + 3)

b)

(5x - 3)(x + 1)

c)

(5x + 1)(x + 3)

d)

(5x - 1)(x - 3)

113.

Expand and simplify

2(x + 3) + 4

a)

2x + 10

b)

2x + 7

c)

2x + 14

d)

x + 10

114.

Expand and simplify

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

a)

8h + 1

b)

8h - 1

c)

8h + 3

d)

8h +9

115.

Expand and simplify

(x + 1)(x + 2)(x + 3)

a)

x³ + 6x² + 11x + 6

b)

x³ + 9x² + 10x + 6

c)

x³ + 3x² + 7x + 6

d)

x³ + 10x² + 4x + 9

116.

Bella has 36 marbles, and she divides them equally into 6 bags. Which equation shows the number of marbles that Bella puts in each bag?

a)

36×6=216

b)

36÷6=6

c)

36+6=42

d)

36−6=30

117.

Which statement represents the expression 64 ÷ 8?

a)

Hailey has 64 muffins. She gives her friend 8 muffins.

b)

Hailey has 64 muffins. She places the same number of muffins in each of her 8 containers

c)

Hailey has 64 muffins. Her brother gives her 8 muffins.

d)

Hailey has 64 muffins. She places a different number of muffins in each of her 8 containers.

118.

Zamaria has 10 bracelets. She has an equal number of blue bracelets and green bracelets. How many green bracelets does she have?

a)

20

b)

12

c)

8

d)

5

119.

3 x (a) = 21

120.

Chloe has 35 books. She puts the books into 5 equal groups. How many books are in each group?

a)

6

b)

7

c)

8

d)

9

121.

A pet store owner has 36 parakeets. She places the parakeets into 9 different cages. How many parakeets are in each cage?

a)

4

b)

5

c)

6

d)

7

122.

Which situation can be described by the expression 15 ÷ 3?

a)

There are 15 pieces of candy. Hannah eats 3 pieces. How many are left?

b)

There are 15 tables. There are 3 chairs at each table. What is the total number of chairs?

c)

There are 15 toys. How many toys can be shared equally by 3 students?

d)

There are 15 people who like to swim and 3 people who don’t like to swim in a group. How many people are in the group?

123.

(a) x 9 = 45

124.

4 x (a) = 28

125.

7 x (a) 49

126.

(a) ÷ 6 = 2

127.

5 x s = 15

(a)

128.

33 ÷ (a) = 33

129.

8 x 8= (a)

130.

54 ÷ (a) = 9

131.

Solve for the unknown

24÷_____=4

a)

3

b)

2

c)

6

d)

5

132.

Solve for the unknown

27÷___=9

a)

2

b)

4

c)

5

d)

3

133.

Solve for the unknown

36÷___=4

a)

9

b)

6

c)

5

d)

3

134.

Solve for the unknown

56÷___=8

a)

7

b)

6

c)

5

d)

8

135.

Solve for the unknown

42÷___=7

a)

5

b)

6

c)

7

d)

8

136.

Find the missing number

36 $\div$ ___ = 9

a)

1

b)

2

c)

3

d)

4

137.

What is the missing number to make the equation true?

72 $\div$ ___= 8

a)

10

b)

8

c)

9

d)

7

138.

What is the dividend?

___ ÷ 5 = 5

a)

30

b)

20

c)

25

d)

10

139.

What is the dividend?

___ ÷ 3 = 9

a)

36

b)

28

c)

27

d)

32

140.

What is the dividend?

___ ÷ 11 = 11

a)

121

b)

22

c)

132

d)

110

141.

Find the Missing Addend:

3 + ___ = 15

a)

18

b)

15

c)

12

d)

9

142.

Find the Missing Addend

12 + ___ = 19

a)

7

b)

31

c)

5

d)

21

143.

What is the Missing Addend?

(a) + 8 = 18

144.

Find the Missing Addend

6 + (a) = 15

145.

Find the Missing Addend

___ + 4 = 17

a)

21

b)

13

c)

11

d)

3

146.

Find the Missing Addend

5 + ___ = 16

a)

11

b)

12

c)

10

d)

13

147.

Find the Missing Addend

(a) + 4 = 18

148.

Find the Missing Addend

8 + ___ = 15

a)

3

b)

5

c)

7

d)

9

149.

Find the Missing Addend

3 + ___ = 16

a)

3

b)

13

c)

19

d)

15

150.

Find the Missing Addend

14 + (a) = 19

Algebraic Booster

Total questions: 150

Worksheet time: 2hrs 10mins

Similar Resources on Wayground