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Worksheets

G7 Review

Total questions: 220

Worksheet time: 6hrs 46mins

Name
Class
Date
1.

Solve: y + 9.3 = -4.2

a)

y = -13.5

b)

y = 13.5

c)

y = 5.1

d)

y = -5.1

2.

Identify the steps to solve for b

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

3.

5x1=195x-1=19  

a)

x=4x=4  

b)

x=10x=10  

c)

x=5x=5  

d)

x=15x=15  

4.

6x + 4 = 9x  56x\ +\ 4\ =\ 9x\ -\ 5  

(a)  

5.

5x + 18 = 12x + 45x\ +\ 18\ =\ 12x\ +\ 4  

(a)  

6.

24 = 3(3x 7)24\ =\ 3\left(3x\ -7\right)

a)

x = 9x\ =\ -9  

b)

x = 5x\ =\ 5  

c)

x =3x\ =3  

d)

x = 7x\ =\ 7  

7.

r + 11 + 8r = 29r\ +\ 11\ +\ 8r\ =\ 29  

a)

r =0r\ =0  

b)

r = 1r\ =\ 1  

c)

r = 2r\ =\ 2  

d)

r = 3r\ =\ 3  

8.

5(4x  2) = 2(3 +6x)-5\left(4x\ -\ 2\right)\ =\ -2\left(3\ +6x\right)  

a)

x = 2x\ =\ 2  

b)

x = 8x\ =\ 8  

c)

x = 2x\ =\ -2  

d)

x = 8x\ =\ -8  

9.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
10.
Determine the type of solution you will have if you get
-6=6
a)
one solution
b)
infinite solution=identity
c)
no solution
d)
I don't know.  I need to study.
11.

14 + 35v = 3v + 14

a)

One Solution

b)

No Solution

c)

Infinite Solutions

12.

36 - 7p = -7p + 35

a)

One Solution

b)

No Solution

c)

Infinite Solutions

13.

-2v + 4 = -3 -2v

a)

No Solution

b)

Infinite Solutions

c)

One Solution

14.

3 + 5n = 5n + 3

a)

One Solution

b)

No Solution

c)

Infinite Solutions

15.

8x + 38 = -3 (-6 - 4x)

a)

No Solutions

b)

Infinite Solutions

c)

One Solution

16.
Solve:
3x + 15 = 3(x + 5)
a)
No Solution
b)

One Solution

c)
Infinitely Many Solutions
17.

9y+8=9y-8

a)

No Solution

b)

One Solution

c)

Infinite Solution

18.

-10y-6 = -10y-6

a)

No Solution

b)

One Solution

c)

Infinite Solutions

19.

3(x-8)=3x-24

a)

No Solution

b)

One Solution

c)

Infinite Solutions

20.

6(m+3)=2(m+5)

a)

No solution

b)

One Solution

c)

Infinite Solutions

21.

-5(2x - 4) = 2(10 - 5x)

a)

No Solution

b)

One Solution

c)

Infinite Solution

22.

Solve the equation 5(3x+2) - 2(x - 3) = 23

a)

x = 7/13

b)

x = 3/5

c)

x = 9/13

d)

x = 5/13

23.

Solve the equation:

a)

x = -23

b)

x = -27

c)

x = -29

d)

x = -11

24.

Solve the equation: 4(x+3) = 27 + 4x

a)

x = 24

b)

No solution

c)

All real numbers

d)

x = -24

25.

Solve the equation

a)

x = 82/11

b)

x = 85/11

c)

x = 81/11

d)

x = 76/11

26.

Solve: 5-3x=2x+25

a)

x = -4

b)

x = -3

c)

x = -5

d)

x = 3

27.

Solve: 4x + 9 = 13 - x

a)

x = 3/5

b)

x = 4/5

c)

x = 1/5

d)

x = 2/5

28.

Write as an equation: "The sum of five and twice a number makes 11"

a)

5(2x) = 11

b)

5/2x = 11

c)

5 + 2x + 11

d)

5 + 2x = 11

29.

Anne is five years older than her brother Barry. In five years time, the sum of their ages will be 43. How old is Barry?

a)

14

b)

19

c)

12

d)

17

30.

Ben has 20 more candies than Albert. If both boys each received five more candies, Ben would have twice as many candies as Albert. How many candies does Albert have now (before he received the extra candies)?

a)

20

b)

40

c)

35

d)

15

31.

Simplify: 4(2x - 3) - 5(3x + 1)

a)

-7x + 3

b)

-7x -17

c)

-7x - 3

d)

-7x + 17

32.

In the expression 5x2 - 4x + 3, what is the coefficient of x?

a)

5

b)

4

c)

-4

d)

3

33.

Given the formula v = u + at find the value of t if v = 12, u = 2 and a = 5.

a)

2

b)

3

c)

4

d)

5

34.

If f(x) = 3x2 + 5x + 8 find f(-1)

a)

4

b)

6

c)

8

d)

10

35.

If f(x) = 2x - 3 and f(a) = 7, what is the value of a?

a)

11

b)

13

c)

3

d)

5

36.

Solve the equation x2 + 4 = 13. Select ALL answers that are correct.

a)

3

b)

4.5

c)

-3

d)

-4.5

37.

If a=3a=3 , find  7a7-a  

a)

2

b)

3

c)

4

d)

5

38.
If x = 5, find the value of 7x-1.
a)
34
b)
36
c)
35
d)
37
39.
If p = 3 and q = 5, find p + q + 2
a)
12
b)
10
c)
8
d)
11
40.
If x = 5 & y = 3 what is 3x + 5y?
a)
28
b)
30
c)
32
d)
34
41.
If s = 3 & t = 9, what is 2t - 3s?
a)
8
b)
9
c)
10
d)
11
42.

-14_______-32

a)

<

b)

>

c)

=

43.

-36 is greater than -35.

a)

True

b)

False

44.

Which of the following is above sea level?

a)

-368 ft

b)

2,851 ft

45.

Expand and simplify 4(7x + 3).

a)

28x + 12

b)

28x + 3

c)

47x + 12

d)

47x + 3

46.

Expand and simplify 5(2 - 3y).

a)

10 - 15y

b)

10 + 15y

c)

10 - 2y

d)

10 - 3y

47.

Expand and simplify -3( 2r + 5s).

a)

-6r - 15s

b)

-6r + 15s

c)

-6r - 15

d)

-6r + 2s

48.

Expand and simplify -2(3x - 4).

a)

-6x + 8

b)

-6x - 6

c)

-6x - 8

d)

6x + 8

49.

Expand and simplify -(2y - 1).

a)

-2y + 1

b)

-2y - 1

c)

2y + 1

d)

2y - 1

50.

Simplify 3x + 2y - 2x + 3y.

a)

x + 5y

b)

5x + 5y

c)

5x + y

d)

5x - 5y

51.

Simplify 7y - 3 - 2y.

a)

5y - 3

b)

9y - 3

c)

2y

d)

7y - 5

52.

Simplify 5h + 2g + 3h + 4g.

a)

8h + 6g

b)

7h + 7g

c)

14gh

d)

8h - 6g

53.

Simplify -9e + 2f - 2e + 3f.

a)

5f + 11e

b)

5f - 11e

c)

11e - 5f

d)

11e + 5f

54.

Expand and simplify 2(x + 3) + 4

a)

2x + 10

b)

2x + 7

c)

2x + 14

d)

x + 10

55.

Expand and simplify 3(x + 2) + 4(2x +1).

a)

11x + 10

b)

11x + 7

c)

7x + 10

d)

11x + 3

56.

Expand and simplify 4(y - 3) + 2(3 +2y).

a)

8y - 6

b)

6y - 6

c)

8y -1

d)

4y -12 + 6 + 4y

57.

Expand and simplify 3(2z + 1) - 2(5 + z).

a)

4z - 7

b)

7z - 7

c)

8z - 7

d)

4z + 13

58.

Expand and simplify 3(c - 2d) - 2(2c - 3d).

a)

-c

b)

c

c)

-c - 12d

d)

-c + 12d

59.

Simplify 3k - 3m + 4k + 2m - 2k.

a)

5k - m

b)

-5k + 5m

c)

5k - 5m

d)

-5k - m

60.

Expand 3 (x+5)3\ \left(x+5\right)  

a)

3x3x  

b)

15

c)

18x18x  

d)

3x+153x+15  

61.

 Expand    3(x5)\ Expand\ \ \ \ 3\left(x-5\right)  

a)

3x3x  

b)

2x-2x  

c)

3x153x-15  

d)

3x23x-2  

62.

Expand and simplify 3(2a+5)+5(a2)3\left(2a+5\right)+5\left(a-2\right)  

a)

11a+511a+5  

b)

6a+156a+15  

c)

11a511a-5  

d)

6a+15+5a106a+15+5a-10  

63.

Simplify 7b+43b7b+4-3b  

a)

10b+410b+4  

b)

8b8b  

c)

4b+44b+4  

d)

4b+4-4b+4  

64.

Simplify 9x+x4x+x9x+x-4x+x  

a)

7x7x  

b)

x2+5xx^2+5x  

c)

5x5x  

d)

x2+5x-x^2+5x  

65.
Write the expression: 
4 less than 5 times p
a)
5p - 4
b)
4 - 5p
c)
4p - 5
d)
5 - 4p
66.

Expand and simplify 4(7x + 3).

a)

28x + 12

b)

28x + 3

c)

47x + 12

d)

47x + 3

67.

Expand and simplify 5(2 - 3y).

a)

10 - 15y

b)

10 + 15y

c)

10 - 2y

d)

10 - 3y

68.

Simplify 3x + 2y - 2x + 3y.

a)

x + 5y

b)

5x + 5y

c)

5x + y

d)

5x - 5y

69.

Simplify -9e + 2f - 2e + 3f.

a)

5f + 11e

b)

5f - 11e

c)

11e - 5f

d)

11e + 5f

70.

Expand and simplify 2(x + 3) + 4

a)

2x + 10

b)

2x + 7

c)

2x + 14

d)

x + 10

71.

Expand and simplify 3(x + 2) + 4(2x +1).

a)

11x + 10

b)

11x + 7

c)

7x + 10

d)

11x + 3

72.

Expand and simplify 3(2a+5)+5(a2)3\left(2a+5\right)+5\left(a-2\right)  

a)

11a+511a+5  

b)

6a+156a+15  

c)

11a511a-5  

d)

6a+15+5a106a+15+5a-10  

73.

What is (3x -2) - (4x + 1) in simplest form?

a)

x - 3

b)

-x - 3

c)

-x + 1

d)

x + 1

74.

Which expression is equivalent to -5(x + 10)?

a)

5x + 50

b)

-5x + 10

c)

-5x - 50

d)

5x - 50

75.

Simplify this expression....

a)

28a3

b)

28a2

c)

11a3

d)

11a2

76.

Simplify this expression....

a)

27a2

b)

12a2

c)

27aa

d)

12aa

77.

Simplify this expression....

a)

30mn

b)

30m

c)

11mn

d)

11n

78.

John's answer to the question below was 12h + 3. What were John's errors?


Expand and simplify the expression below:

6h (2h + 3)

a)

He did not add the powers for the variable h.

b)

He did not multiply 6h x 3

c)

He did not use the distributive law correctly

d)

All of the above

79.

Who lives in a pineapple under the sea? (Select all that apply)

a)

Spongebob!

b)

Mr. Squarepants!

c)

Spongebob Squarepants!

d)

Patrick's best friend!

80.

Simplify the expression: 3(x + 4)

a)

3x + 12

b)

3x - 4

c)

3x + 16

d)

3x^2 + 12

81.

Expand the expression: 2(3x - 5)

a)

6x - 10

b)

6x + 10

c)

3x - 10

d)

5x - 6

82.

Use the distributive property to simplify: 4(2x + 7)

a)

4x + 14

b)

6x + 28

c)

8x + 14

d)

8x + 28

83.

Expand the expression: 5(4x - 3)

a)

25x - 15

b)

20x - 15

c)

20x + 15

d)

9x - 15

84.

Apply the distributive property to simplify: 6(3x + 2)

a)

12x + 8

b)

9x + 6

c)

18x + 24

d)

18x + 12

85.

Expand the expression: 3(2x - 6)

a)

6x - 18

b)

5x - 24

c)

9x - 12

d)

x - 12

86.

Simplify the expression: 2(5x + 3)

a)

15x + 6

b)

10x + 6

c)

10x - 3

d)

7x + 5

87.

Use the distributive property to expand: 7(4x - 2)

a)

28x - 14

b)

16x - 8

c)

30x - 10

d)

11x - 5

88.

Expand the expression: 4(3x - 8)

a)

4x - 8

b)

12x + 32

c)

12x - 32

d)

7x - 24

89.

Apply the distributive property to simplify: 8(2x + 5)

a)

16x - 40

b)

16x + 5

c)

16x + 40

d)

16x + 10

90.

Expand the expression: 3(4x - 7)

a)

12x - 21

b)

12x + 21

c)

7x - 12

d)

12x - 28

91.

Simplify the expression: 5(x + 6)

a)

5x + 30

b)

5x - 30

c)

11x + 30

d)

5x^2 + 30

92.

Apply the distributive property to simplify: 7(5x + 3)

a)

35x + 21

b)

35x - 21

c)

12x + 21

d)

35x + 10

93.

Factorize  3x+9

a)

3(x+3)

b)

x(3+3)

c)

9(x-3)

d)

3x(x+9)

94.

Factorize and choose the correct answer
a2 + bc + ab + ac

a)

(a+c) (b+c)

b)

a (a+b+c)

c)

(a+b) (b+c)

d)

(a+b)  (a+c)

95.

(x+1) (x+1) is a factor of

a)

x2+1-2x

b)

x2+2x+1

c)

x2-2x+1

d)

2x+1-x

96.

Factorize 25x2y - 5xy

a)

5xy (x - y)

b)

5xy (5x + 1)

c)

5xy(5x-1)

d)

5xy (5x + 5)

97.

What is the greatest common factor of 18 , 9 , 48 and 27

a)

3

b)

15

c)

9

d)

18

98.

Choose the correct answer:

The factors of a4 - b4 is _____

a)

(a2 + b2) (a2 + b2)

b)

(a2 - b2) (a2 - b2)

c)

(a2 + b2) (a + b) (a - b)

d)

None of these

99.

Factorise 12x+36

a)

12(3x+1)

b)

x(12+36x)

c)

12(3x)

d)

12(x+3)

100.

On factorizing 14pq + 35pqr, we get:

a)

7pq(2+5r)

b)

q(14p+35pr)

c)

p(14q+35qr)

d)

pq(14+35r)

101.

Factorise 9x-9

a)

9(x)

b)

9(x−9)

c)

9(x−1)

d)

9(x+1)

102.

Factorise 21x-14


a)

14(21x)

b)

14(21x−1)

c)

7(3x-2)

d)

7(3x−14)

103.

Factorize 2ab+6b2ab+6b .

a)

6b(a+1)6b\left(a+1\right)

b)

3b(a+2)3b\left(a+2\right)

c)

2b(a+3)2b\left(a+3\right)

d)

b(2a+6)b\left(2a+6\right)

104.

Factorize 20mn38m2n220mn^3-8m^2n^2 .

a)

4n(5nm2)4n\left(5n-m^2\right)

b)

4mn(5n2m)4mn\left(5n-2m\right)

c)

4mn2(5nm)4mn^2\left(5n-m\right)

d)

4mn2(5n2m)4mn^2\left(5n-2m\right)

105.

Factorize 24xy8xz+16xyz24xy-8xz+16xyz .

a)

8(3xy2yzxz)8\left(3xy-2yz-xz\right)

b)

8x(3y2yz+z)8x\left(3y-2yz+z\right)

c)

8x(3y+2yzz)8x\left(3y+2yz-z\right)

d)

8x(3y+yz2z)8x\left(3y+yz-2z\right)

106.

Factorize 3m(2m5n)(2m5n)(n+2m).3m\left(2m-5n\right)-\left(2m-5n\right)\left(n+2m\right).

a)

(2m5n)(m+n)\left(2m-5n\right)\left(m+n\right)

b)

(2m5n)(mn)\left(2m-5n\right)\left(m-n\right)

c)

(2m5n)(5m+n)\left(2m-5n\right)\left(5m+n\right)

d)

(2m5n)(5mn)\left(2m-5n\right)\left(5m-n\right)

107.

Factorize 3(x2y)+2x(2yx)3\left(x-2y\right)+2x\left(2y-x\right) .

a)

(x2y)(32x)\left(x-2y\right)\left(3-2x\right)

b)

(x2y)(3+2x)\left(x-2y\right)\left(3+2x\right)

c)

(2yx)(32x)\left(2y-x\right)\left(3-2x\right)

d)

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

108.

Factorize 10p26pq+2p10p^2-6pq+2p .

a)

2p(5p3q)2p\left(5p-3q\right)

b)

2(5p23q+1)2\left(5p^2-3q+1\right)

c)

2p(5p3q+1)2p\left(5p-3q+1\right)

d)

2p(5p6q+1)2p\left(5p-6q+1\right)

109.

Factorize pq5q+2p10pq-5q+2p-10 .

a)

(p5)(q2)\left(p-5\right)\left(q-2\right)

b)

(p5)(q+2)\left(p-5\right)\left(q+2\right)

c)

(p+5)(q2)\left(p+5\right)\left(q-2\right)

d)

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

110.

Factorize 6am+n2m3an6am+n-2m-3an .

a)

(a+1)(6mn)\left(a+1\right)\left(6m-n\right)

b)

(a1)(6mn)\left(a-1\right)\left(6m-n\right)

c)

(2mn)(3a+1)\left(2m-n\right)\left(3a+1\right)

d)

(2mn)(3a1)\left(2m-n\right)\left(3a-1\right)

111.

Factorize prqr+psqs+qtptpr-qr+ps-qs+qt-pt .

a)

(p+q)(r+st)\left(p+q\right)\left(r+s-t\right)

b)

(p+q)(rs+t)\left(p+q\right)\left(r-s+t\right)

c)

(pq)(r+st)\left(p-q\right)\left(r+s-t\right)

d)

(pq)(rs+t)\left(p-q\right)\left(r-s+t\right)

112.

Factorize 4(3r2s)(2s3r)24\left(3r-2s\right)-\left(2s-3r\right)^2 .

a)

(2s3r)(2s3r+4)\left(2s-3r\right)\left(2s-3r+4\right)

b)

(2s3r)(2s3r4)\left(2s-3r\right)\left(2s-3r-4\right)

c)

(3r2s)(43r+2s)\left(3r-2s\right)\left(4-3r+2s\right)

d)

(3r2s)(43r2s)\left(3r-2s\right)\left(4-3r-2s\right)

113.

Find the angle labelled e.

a)

37

b)

143

c)

163

d)

57

114.

Find the angle labelled w.

a)

72

b)

92

c)

108

d)

128

115.

Find the angle labelled c.

a)

189

b)

11

c)

169

d)

31

116.

Find the angle labelled t.

a)

132

b)

48

c)

152

d)

68

117.

Find the angle labelled u.

a)

116

b)

136

c)

84

d)

64

118.

Find the angle labelled u.

a)

44

b)

64

c)

136

d)

156

119.

Find the angle labelled s.

a)

131

b)

49

c)

151

d)

69

120.

Find the angle labelled x.

a)

147

b)

33

c)

167

d)

53

121.

Find the value of angle f.

a)

25°25\degree

b)

46°46\degree

c)

157°157\degree

d)

23°23\degree

122.

Find the value of angle i.

a)

131°131\degree

b)

49°49\degree

c)

98°98\degree

d)

262°262\degree

123.

What is an exterior angle of a triangle?

a)

angle formed by any of the sides inside the triangle

b)

angle between any of the side of a triangle extending outside

124.

What is n ?

a)

67

b)

113

c)

134

d)

180

125.

What is x ?

a)

48

b)

52

c)

80

d)

100

126.

What is x ?

a)

60

b)

80

c)

140

d)

160

127.

What is x ?

a)

36

b)

39

c)

75

d)

111

128.

What is the value of x ?

a)

22

b)

44

c)

66

d)

99

129.

What is x ?

a)

46

b)

49

c)

108

d)

147

130.

What is the value of x and y ?

a)

x = 41, y = 92

b)

x = 88, y = 92

c)

x = 47, y = 88

d)

x = 88, y = 47

131.

Which is the smaller remote interior angle?

a)

10

b)

40

c)

76

d)

116

132.

What is the measure of angle 4?

a)

35

b)

92

c)

123

d)

145

133.
What is the name of a 7 sided polygon?
a)
hexagon
b)
heptagon
c)
octagon
d)
nonagon
134.

What is the name of a 6 sided polygon?

a)

Hexagon

b)

Heptagon

c)

Pentagon

d)

Octagon

135.

What do you call a nine sided polygon?

a)

Nonagon

b)

Octagon

c)

Nineagon

d)

Decagon

136.

How many sides does a quadrilateral have?

a)

3

b)

4

c)

5

d)

6

137.

What do you call an eight sided polygon?

a)

Octapus

b)

Octagon

c)

Hexagon

d)

Heptagon

138.
What is the sum of a Quadrilaterals interior angles?
a)
180
b)
360
c)
400
d)
240
139.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
140.
Which of the following shapes is not a quadrilateral?
a)
trapezoid
b)
triangle
c)
parallelogram
d)
rhombus
141.

Find the value of the missing angle a...

a)

76

b)

284

c)

294

d)

66

142.

Find the value of the missing angle a...

a)

81

b)

71

c)

279

d)

289

143.

Find the value of the missing angle a...

a)

121

b)

111

c)

211

d)

201

144.

Find the value of the missing angle a...

a)

50

b)

60

c)

55

d)

65

145.

Find the value of the missing angle a...

a)

145

b)

154

c)

235

d)

253

146.

Find the value of the missing angle a...

a)

177

b)

176

c)

167

d)

187

147.
Which of the following angles can you add together to equal angle d? 
a)
Angle a and Angle b
b)
Angle b and Angle c
c)
Angle a and Angle c
d)
Angle a and Angle b and Angle c
148.
Which of the following terms best describes Angle d? 
a)
Remote interior angle
b)
Corresponding angle
c)
Exterior angle
d)
Interior angle
149.
What is the sum of interior angles of a triangle?
a)
60 degrees
b)
90 degrees
c)
180 degrees
d)
360 degrees
150.
a)
41°
b)
65°
c)
102°
d)
115°
151.
Find the missing angle
a)
112
b)
96
c)
146
d)
46
152.

Find the value of x

a)

40

b)

57

c)

83

d)

140

153.
a)
A
b)
B
c)
C
d)
D
154.
What is the measure of the unlabeled angle of the triangle?
a)
90*
b)
82*
c)
98*
d)
75*
155.

Find the measure of each angle indicated. 

(a)  

156.

Find the measure of the indicated angle. 

(a)  

157.

Find x

(a)  

158.

Use the Triangle Sum Theorem to find the measure of angle C in degrees.

(a)  

159.

What do all interior (inside) angles of a triangle have to add up to?

a)

800°

b)

180°

c)

5000°

d)

10°

160.



(a)  

161.
Find the measure of the missing angle (?).
a)
95
b)
113
c)
76
d)
85
162.
What is the measure of angle A in the triangle?
a)

116

b)

25

c)

62

d)

54

163.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
164.
Find the value of x by using the exterior angle theorem.
a)
A
b)
B
c)
C
d)
D
165.

22÷162^2\div\sqrt[]{16}  

a)

4

b)

11  

c)

18\frac{1}{8}  

d)

12\frac{1}{2}  

166.

(22×33)2\left(2^2\times3^3\right)^2  

a)

24×352^4\times3^5  

b)

36×243^6\times2^4   

c)

33×243^3\times2^4   

d)

22×362^2\times3^6  

167.

3243×226\frac{3^2}{4^3}\times\frac{2^2}{6}  

a)

32\frac{3}{2}  

b)

363\frac{3}{6^3}   

c)

3223\frac{3^2}{2^3}   

d)

325\frac{3}{2^5}  

168.

9x23x\frac{9x^2}{3x}  

a)

3x3x  

b)

9x9x  

c)

3x23x^2  

d)

9x\frac{9}{x}  

169.

Consider that

a2×a3a^2\times a^{-3}  

=a2×1a3=a^2\times\frac{1}{a^3}  

=a2a3=\frac{a^2}{a^3}  

=1a=\frac{1}{a}  ,

which of the following rule is used ?

a)

aman=am+na^m\cdot a^n=a^{m+n}  

b)

(am)n=amn\left(a^m\right)^n=a^{mn}  

c)

a0=1a^0=1  

d)

am=1ama^{-m}=\frac{1}{a^m}  

170.

For leaving only possitive indices, which is the expression for a2a^{-2}  .

a)

  1a\frac{1}{a^{ }}  

b)

1a2\frac{1}{a^{-2}}   

c)

1a2\frac{1}{a^2}   

d)

a2-a^2   

171.

42434^2\cdot4^{-3}  

a)

4

b)

14\frac{1}{4}  

c)

454^5  

d)

454^{-5}  

172.

1214\frac{1}{2^{-1}}\cdot4  

a)

22  

b)

88  

c)

212^{-1}  

d)

818^{-1}  

173.

3232\frac{3^2}{3^{-2}}  

a)

343^4  

b)

313^1  

c)

313^{-1}  

d)

11  

174.

Challenge question:

a1a2a3a4a9a10a^{-1}\cdot a^2\cdot a^{-3}\cdot a^4\cdot\cdot\cdot a^{-9}\cdot a^{10}  

a)

a55a^{55}  

b)

a5a^5  

c)

a5a^{-5}  

d)

a55a^{-55}  

175.
What is the correct law for multiplication? am x an =
a)
am+n
b)
am + an
c)
amxn
d)
amn
176.
Simplify: w24 ÷ w8
a)
w16
b)
w3
c)
w32
d)
w24/8
177.
What is the correct law for division? am ÷ an =
a)
am-n
b)
am - an
c)
am÷n
d)
am/n
178.

x4x=\frac{x^4}{x}=  

a)

(x÷1)4\left(x\div1\right)^4  

b)

x(4÷1)x^{\left(4\div1\right)}  

c)

x(40)x^{\left(4-0\right)}  

d)

x(41)x^{\left(4-1\right)}  

179.

What is 46÷42

a)

43

b)

44

180.

What is x 5÷x

a)

x5

b)

x4

c)

x3

d)

x2

181.
12x5×3x4
a)
12x9
b)
24x
c)
36x
d)
36x9
182.

What is 23x24

a)

27

b)

212

183.

What is 7.23x7.22

a)

7.26

b)

7.25

184.

What is a8÷a3

a)

a3

b)

a4

c)

a5

d)

a6

185.

What is 106÷102x105

a)

1015

b)

108

c)

109

d)

1020

186.

What is b3xb4÷b2?

a)

b7

b)

b5

c)

b6

d)

b2.5

187.
Simplify: 35 x 37
a)
312
b)
912
c)
335
d)
935
188.
Simplify: 28 ÷ 22
a)
26
b)
24
c)
210
d)
1
189.
Simplify: b17 x b5
a)
b22
b)
b85
c)
(b2)22
d)
b12
190.
Simplify: 3x3 × 6x8
a)
18x11
b)
18x24
c)
9x11
d)
9x24
191.
Simplify: 42m12 ÷ 7m6
a)
6m6
b)
6m2
c)
35m6
d)
35m2
192.
Simplify: 4x2y × 9xy2
a)
36x3y3
b)
36xy3
c)
13x2y2
d)
13x3y3
193.

72×73=7^2\times7^3=  

a)

757^5  

b)

767^6  

c)

14×2114\times21  

d)

492×349^{2\times3}  

194.
Write 6x 6as a single power
a)
7776
b)
66
c)
65
d)
365
195.

Write 95 ÷ 93 as a single power

a)

92

b)

98

c)

915

d)

12

196.

Simplify 53 x 54

a)

57

b)

257

c)

512

d)

2512

197.
Simplify 65 x 6 x 63
a)
68
b)
2168
c)
69
d)
2169
198.
Simplify 53 x 54
a)
512
b)
57
c)
2512
d)
257
199.

Simplify 620 ÷ 65

a)

615

b)

625

c)

15

d)

64

200.
Simplify 47  ÷ 43
a)
410
b)
4
c)
421
d)
44
201.
a7×a4÷a5
a)
a7
b)
a6
c)
a4
d)
a11
202.
a)
y4
b)
y5
c)
y6
d)
6y
203.
Calculate 3a8 x 4a2
a)
12a10
b)
12a16
c)
7a10
d)
7a16
204.
a)
x4
b)
4x3
c)
3x3
d)
4x2
205.

Simplify,


t -3 ÷ t - 1

a)

t 2

b)

t - 4

c)

t - 2

d)

(t - 1)2

206.

Simplify:

25 x 6

5 x 3

a)

20x3

b)

5x9

c)

5x3

207.


22×222^2\times2^{-2}  

a)

212^1  

b)

4

c)

212^{-1}  

d)

1

208.
Simplify: 3x2 × (2x)3 × x6
a)
24x11
b)
24x9
c)
6x11
d)
6x9
209.


26 ÷ 2x = 82^6\ \div\ 2^x\ =\ 8  

what is the value of x?

a)

0

b)

1

c)

2

d)

3

210.
If 5= 125 find n.
a)
25
b)
1/3
c)
-3
d)
3
211.

Simplify: χ3 ÷ χ2

a)

χ

b)

χ5

c)

χ6

d)

χ-1

e)

1/χ

212.
Find a10 ÷ a2
a)
a8
b)
a5
c)
a12
d)
a102
213.
Calculate 11a5 x 8a7
a)
88a12
b)
88a35
c)
19a12
d)
19a35
214.
Find a-80 ÷ a8
a)
a-88
b)
a10
c)
a88
d)
a-72
215.
a7×a4÷a5
a)
a7
b)
a6
c)
a4
d)
a11
216.
Simplify
a)
A
b)
B
c)
C
d)
D
217.
a×a×a
a)
3a
b)
3a3
c)
a3
d)
3a2
218.
Evaluate the expression using the quotient rule.
a)
214 z13
b)
22/z7
c)
214/ z7
d)
2z7
219.
5a×3a
a)
15a2
b)
30a
c)
15a
d)
a30
220.
a)
x2
b)
x6
c)
x5
d)
x-6