Free Printable Mid-Term Study Guide

1.

-3 +(- 8)

a)

-7

b)

-2

c)

11

d)

-11

2.

30 -(- 10)

a)

40

b)

-42

c)

20

d)

18

3.

9 +(-1)

(a)

4.

-11 -(-11)

a)

0

b)

22

c)

-22

d)

-0

5.

4 x (-6)

a)

-24

b)

12

c)

40

d)

-36

6.

9 x (-3)

(a)

7.

which two are correct ?

a)

9 and 7

b)

3 and -6

c)

-3 and 10

d)

6 and -3

8.

5 - (-5)

a)

10

b)

5

c)

0

d)

-10

9.

$30\ \div\ \left(-6\right)$

a)

5

b)

-5

c)

7

d)

6

10.

$48\ \div\ \left(-8\right)$

a)

8

b)

-12

c)

-6

d)

7

11.

Identify the property
a + b = b + a

a)

Identity of addtion

b)

commutative of addition

c)

associative of addition

d)

symmetric

12.

Identify the property
(a ⋅ b) ⋅ c = (c ⋅ b) ⋅ a

a)

commutative of multiplication

b)

identity of multiplication

c)

inverse of multiplication

d)

associative of multiplication

13.

Identify the property
a + 0 = a

a)

identity of addition

b)

identity of multiplication

c)

inverse of addtion

d)

multiplication of zero

14.

Identify the property
a(b + c) = ab + ac

a)

Associative of addtion

b)

Distributive

c)

Commutative of addition

d)

Inverse

15.

(19 x 5) x 2 = 19 x (5 x 2)

a)

Associative Property of Multiplication

b)

Commutative Property of Multiplication

c)

Identity Property of Multiplication

d)

Associative Property of Addition

16.

1 ^_x 12 =12

a)

Identity Property of Multiplication

b)

Commutative Property of Multiplication

c)

Multiplication Property of One

d)

Distributive Property

17.

What property is this?

a)

Multiplicative Inverse

b)

Multiplicative Identity

c)

Commutative

d)

Associative

18.

What is the ADDITIVE INVERSE of
-7

a)

-7

b)

^-1/₇

c)

¹/₇

d)

7

19.

Fill in the blank to properly show the DISTRIBUTIVE PROPERTY:

7(11 + 4) = 77 + ____

a)

3

b)

4

c)

7

d)

28

20.

Which of the following is an example of the ASSOCIATIVE PROPERTY OF ADDITION?

a)

11 + (8 + 3) = 11 + (3 + 8)

b)

(20 + 0.5) + 3 = 20 + (0.5 + 3)

c)

5(7 + 2) = 5(7) + 5(2)

d)

3 x (5 x 4) = (3 x 5) x 4

21.

5x(6-3)

a)

19

b)

27

c)

15

d)

23

22.

7x(7-4)÷3

a)

8

b)

6

c)

7

d)

5

23.

4 + 9 + 8 ÷ 4

a)

5.25

b)

5

c)

25

d)

15

24.

4 + 2 + 6 ÷ 1

a)

14

b)

13

c)

12

d)

11

25.

8² +(7-4)²

a)

74

b)

72

c)

70

d)

73

26.

3²+4²-(4x2)

a)

14

b)

9

c)

9

d)

17

27.

6³– 10 ÷ 5

a)

1.6

b)

200

c)

41.2

d)

214

28.

2 × 3³ + 7

a)

91

b)

61

c)

235

d)

77

29.

Simplify.
23+(30÷10)×4

a)

35

b)

32

c)

12

d)

45

30.

Simplify:

14 - 8 + 4 ⋅ 2³

a)

60

b)

38

c)

30

d)

12

31.

Evaluate:

$\left(y+z\right)^2$

when y = -4 and z = -3

(a)

32.

Evaluate:

$4\left(p-r\right)$

if p = 6 and r = -2

(a)

33.

Evaluate:

$x^2-z$

when x = 1 and z = -1

(a)

34.

Evaluate:

$xz\div5$

when x = 5 and z = 5

(a)

35.

Evaluate:

$3\left(z+x\right)-x$

when x = 2 and z = 1

(a)

36.

Evaluate:

$4\left(cb+c\right)$

when b = 4 and c = 3

(a)

37.

Evaluate

$a+b^3-6$

when a = 5 and b = 3

(a)

38.

Evaluate

$z^2-\left(y+4\right)$

when y = 5 and z = 6

(a)

39.

Evaluate:

$m-\left(p^2-\left(p+p\right)\right)$

when m = 6 and p = 2

(a)

40.

Evaluate:

$\left(x+z-z\right)\div3+x$

when x = 3 and z = 5

(a)

41.

3x-5x

a)

2x

b)

8x

c)

-2x

d)

15x²

42.

Simplify by combining like terms.
m + 9 - 4m

a)

5m

b)

m + 5m

c)

-3m + 9

d)

4m

43.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

44.

Simplify: 6x + 12x + 3 y

a)

21x

b)

18x + 3y

c)

72x + 3y

d)

6x + 15y

45.

Simplify: 15x + 19 + 2x - 4

a)

17x + 15

b)

17x + 23

c)

30x + 15

d)

13x + 15

46.

Which expression is equivalent to
v + v + v + v + v?

a)

5v

b)

v⁵

c)

v + 5

d)

v5

47.

-r -10r

a)

11r

b)

-11r

c)

9r

d)

-11

48.

Combine like terms
3x + 2x + 11y - 7y

a)

5x + 10y

b)

5x - 4y

c)

5x + 4y

d)

5x -10y

49.

Simplify: 4k + 6k - 3k + 3s - s

a)

13k + 3s

b)

7k + 2s

c)

7k + 4s

d)

Can't be simplified

50.

Simplify the following expression by combining like terms:
(3b - 4) - (4b + 6)

a)

-b + 2

b)

-b - 10

c)

7b - 10

d)

7b + 2

51.

Simplify:
1y - 2x - 3y + 4x

a)

-2y + 2x

b)

-2y - 2x

c)

-4y - 6x

d)

2y - 2x

52.

Simplify:
13y + (-4) + 7

a)

13y + 3

b)

13y - 3

c)

16y

d)

-13 + 3

53.

Simplify 5(2 - 7n)

a)

52 - 57n

b)

10 - 7n

c)

10 - 35n

d)

10 + 35n

54.

Simplify 6(x + -2)

a)

6x + -2

b)

6x + -12

c)

4x

d)

6x - 2

55.

Simplify:

5x - 6x - 8x + 7

a)

-9x + 7

b)

10x + 7

c)

9x + 7

d)

9x - 7

56.

4a + 9 + a

a)

5a + 9

b)

14a

c)

3a + 9

d)

5a - 9

57.

Simplify:
20x + 27y + 38y + 29x

a)

49y + 64x

b)

49y + 65x

c)

49x + 65y

d)

49x - 65y

58.

Use the distributive property to simplify the expression.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

59.

Use the distributive property to simplify the expression.

9(2g + 3)

a)

18g + 27

b)

18g - 27

c)

-18g - 27

d)

18g - 18

60.

-7(w-4)+3w - 27

a)

10w + 21

b)

-4w + 1

c)

3w + 5

d)

2w - 5

61.

the difference of 3 times a number and 7

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3 / 7n

62.

m plus the product of 6 and n

a)

m + 6n

b)

m - 6 + n

c)

6m + n

d)

m + 6 + n

63.

5 less than the product of 7 and s

a)

7s - 5

b)

5 - 7 + s

c)

7(s - 5)

d)

5 - 7s

64.

a number more than 12

a)

n + 12

b)

12n

c)

12 + n

d)

12 - n

65.

The product of seven and j..

a)

7j

b)

j+3

c)

j-3

d)

j/3

66.

Five times Mike's age, increased by nine

a)

5(x+9)

b)

9(5+x)

c)

9x+5

d)

5x+9

67.

4 divided by the sum of a number and 12

a)

4 / n + 12

b)

4 / 12n

c)

4 / (n + 12)

d)

(4 / n) + 12

68.

5 more than the product of 7 and s

a)

7s + 5

b)

5 - 7 + s

c)

7(s - 5)

d)

5 - 7s

69.

the sum of 3 times a number and 7

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3 / 7n

70.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

a)

8 - 4m

b)

8m - 4

c)

8m + 4

d)

4m - 8

71.

3n + 4 = 7

a)

1

b)

-1

c)

3.67

d)

2

72.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

73.

Figure out what n equals in this equation:
6n + 4 = -26

a)

n=-6

b)

n= -5

c)

n= 8

d)

n= -4

74.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

75.

-3a + 8 = 14

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

76.

6 - 3a = 21

a)

a= 9

b)

a= -9

c)

a= -5

d)

a= 5

77.

9 = 2s + 1

a)

4

b)

-4

c)

3.5

d)

5

78.

8 = 4v + 12

a)

-1

b)

1

c)

0

d)

-10

79.

20 = 2 - a

a)

a= 18

b)

a= -18

c)

a= -10

d)

a= 12

80.

-5 - 6a = -59

a)

a= 11

b)

a= -6

c)

a= 9

d)

a= 2

81.

Solve for t.

6t + 4 ≤ -2

a)

t ≤ -1

b)

t ≤ 1

c)

t=1

d)

1=t

82.

Solve the inequality.
-2x + 9 ≤ -11

a)

x > 10

b)

x < 10

c)

x ≥ 10

d)

x ≤ 10

83.

Solve and graph the inequality.
7n - 1 > 76

a)

A

b)

B

c)

C

d)

D

84.

Solve and graph the inequality.
77 ≤ 5 + 8n

a)

A

b)

B

c)

C

d)

D

85.

Solve and graph the inequality.
77 ≤ 5 + 8n

a)

A

b)

B

c)

C

d)

D

86.

Solve and graph the inequality.
-169 ≤ 8m - 9

a)

A

b)

B

c)

C

d)

D

87.

Solve and graph the inequality.
3 + 9k > 111

a)

A

b)

B

c)

C

d)

D

88.

Which graph shows the solution to:

11x+14<–8

?

a)

b)

c)

d)

89.

Solve and Graph: 3x + 7 > -8

a)

b)

c)

d)

90.

Solve and Graph: -9a - 1 < 26

a)

b)

c)

d)

91.

What is the first step to complete when solving this equation?
10 - 3y = 4

a)

Add 10

b)

Subtract 10

c)

Add 3

d)

Divide by -3

92.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

93.

8v - 4(v + 8) = 8

a)

v = 2

b)

v = 10

c)

v = 4

d)

v = -4

94.

2x - 3 + 4x = 27

a)

x = 12

b)

x = 4

c)

x = 5

d)

x = 15

95.

Which step cannot be performed first in order to solve the equation?
6x + 2x - 3(x + 1) - 5 = 27

a)

Add 6x + 2x

b)

Subtract 1 from both sides

c)

Add 5 to both sides

d)

Distribute -3

96.

18 = 3(3x-6)

a)

x = 4

b)

x = 1/44

c)

x = - 44

d)

x = - 4

97.

5x - 4 + 2x = 3

a)

1

b)

2

c)

3

d)

4

98.

-11 + 3(b + 5) = 7

a)

b = 1

b)

b = -1

c)

b = 3

d)

b = -3

99.

5(x - 3) + 2x = 27

a)

x = 3

b)

x = 42/15

c)

x = 30/7

d)

x = 6

100.

x / 2 - 5 = 3

a)

x = -2

b)

x = 2

c)

x = 16

d)

x = 8

101.

-5x + 7 = -3x - 9

a)

x = 2

b)

x = -8

c)

x = 8

d)

x = -2

102.

8x - 8 = - 4x + 16

a)

8

b)

-2

c)

24

d)

2

103.

Solve for f:
f - 4 = 6f + 26

a)

f = -5

b)

f = 5

c)

f = 6

d)

f = -6

104.

Solve: 5x - 14 = 8x + 4

a)

6

b)

-6

c)

-18/13

d)

10/3

105.

What is v?

-15v-40 = 23-8v

a)

v = 9

b)

v = -7

c)

v = -9

d)

v = 7

106.

Solve the equation:
7x - 4 = 3 + 8x

a)

x = 7

b)

x = -7

c)

x = 2/7

d)

x = 11

107.

14p - 8 = 22 + 20p

a)

-5

b)

5

c)

30

d)

-30

108.

7w + 5 = 3w - 15

a)

w = 5

b)

w = -2

c)

w = 2

d)

w = -5

109.

-5k + 10 = -2k - 14

a)

k = 8

b)

k = -8

c)

k = 2

d)

k = -2

110.

Solve the equation
4x - 5x + 9 =5x - 9

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

111.

10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

112.

Solve the equation
12x - 15 = 3(2x + 3)

a)

x = 4

b)

x = -4

c)

x = 2

d)

x = -2

113.

Solve: 11x - 44 = 9x - 20

a)

x = 12

b)

x = 32

c)

x = -12

d)

x = -32

114.

4k + 24 = 6k -10

a)

k = 17

b)

k =-17

c)

k= 5

d)

k = 1/5

115.

Solve: 14x + 16 = 13x - 42

a)

x = 62

b)

x = -65

c)

x = -58

d)

x = -47

116.

Solve: 3x + 16 = 7x + 64

a)

x = 10

b)

x = -10

c)

x = -11

d)

x = -12

117.

Solve: 12x + 1 = 6x - 47

a)

x = 6

b)

x = -7

c)

x = -8

d)

x = 9

118.

Find the solution to the equation:
^{6n + 5(2n - 6) = 6n - 30}

a)

n = 0

b)

n = 8

c)

Many Possible Solutions

d)

No Possible Solutions

119.

Find the solution to the equation:
^{25 - 5a = -5( a - 4)}

a)

a = 0

b)

a = 10

c)

No Possible Solution

d)

Many Possible Solutions

120.

Find the solution to the equation:
^{2(3x - 6) = -12 + 6}

a)

x = 4

b)

x = 10

c)

Many Possible Solutions

d)

x = (-6)

121.

Find the solution to the equation:
2(5b - 3) = 6b + 6

a)

b = 12

b)

b = 3

c)

b = (-7)

d)

No Possible Solutions

122.

Find the solution to the equation:
-5( r - 1) = 5 - 5r

a)

r = 11

b)

r = (-1)

c)

No Possible Solutions

d)

Many Possible Solutions

123.

^{Find the solution to the equation:}
^{-13 + 5a = 3(a - 3)}

a)

a = 5

b)

a = 9

c)

a = 0

d)

a = 2

124.

Find the solution to the equation:
-19 + 3x = 3( x - 5)

a)

No Possible Solutions

b)

Many Possible Solutions

c)

x = (-6)

d)

x = 8

125.

Find the solution to the equation:
^{5(2x+3) - 4x = 3(2x+5)}

a)

x = 2

b)

x = 0

c)

Many Possible Solutions

d)

No Possible Solutions

126.

Find the solution to the equation:
^{-3x + 6(1 + 2x) = 2x + 27}

a)

x = 3

b)

Many Possible Solutions

c)

No Possible Solutions

d)

x = (-11)

127.

Find the solution to the equation:
3(1 - 6x) = -19 + 4x

a)

No Possible Solutions

b)

x = 1

c)

x = 4

d)

x = (-1)

128.

Solve the given proportion.

a)

A

b)

B

c)

C

d)

D

129.

Solve the given proportion.

a)

A

b)

B

c)

C

d)

D

130.

Solve the given proportion.

a)

A

b)

B

c)

C

d)

D

131.

Solve the given proportion.

a)

A

b)

B

c)

C

d)

D

132.

Solve the given proportion.

a)

A

b)

B

c)

C

d)

D

133.

Solve the given proportion.

a)

A

b)

B

c)

C

d)

D

134.

a)

19

b)

9

c)

2.5

d)

5.96

135.

a)

-7.6

b)

3

c)

12

d)

3.745

136.

a)

-3.6

b)

7.9

c)

7

d)

9.5

137.

a)

7.6

b)

0.17

c)

11.6

d)

9

138.

$\left|x+10\right|=11$

a)

3, -3

b)

4, -4

c)

1, -21

d)

0, -2

139.

$\left|-3x-6\right|=15$

a)

$-7$

b)

$-7,\ 3$

c)

$\frac{26}{3},\ -10$

d)

$-\frac{20}{3},\ 4$

140.

$\left|4+2x\right|-1=19$

a)

$-\frac{8}{7}$

b)

$8,\ -12$

c)

$no\ solution$

d)

$\frac{1}{5},\ -\frac{8}{5}$

141.

$10\left|2x-1\right|+9=59$

a)

$\frac{5}{3},\ 5$

b)

$-\frac{4}{5},\ 1$

c)

$\frac{12}{5},\ -2$

d)

$3,\ -2$

142.

$\left|10x+1\right|=41$

a)

$4,\ -\frac{21}{5}$

b)

$\frac{52}{5},\ -10$

c)

$\frac{5}{2},\ -2$

d)

$\frac{21}{5},\ -3$

143.

$\left|x-1\right|+2=10$

a)

$6,\ -6$

b)

$9,\ -7$

c)

$-5,\ 5$

d)

$13,\ 5$

144.

$\left|4x-2\right|+10=16$

a)

$\frac{13}{3},\ -3$

b)

$2$

c)

$2,\ -1$

d)

$\frac{2}{3}$

145.

$-10+\left|2x+9\right|=-13$

a)

$-\frac{1}{2}$

b)

$-5$

c)

$-5,\ 13$

d)

$no\ solution$

146.

$9-2\left|4x-2\right|=-3$

a)

$2,\ 0$

b)

$2,\ -1$

c)

$1$

d)

$1,\ \frac{17}{3}$

147.

$9+\left|8x+8\right|=33$

a)

$7,\ -10$

b)

$\frac{8}{5},\ -\frac{12}{5}$

c)

$2,\ -4$

d)

$\frac{12}{7},\ -2$

148.

Solve for b.

a)

2A/h

b)

2/(h)

c)

2Ah

d)

Ah/2

149.

Solve for a.

a)

a = pw

b)

a = p/w

c)

a = w/p

d)

a = w + p

150.

S = 3F - 24
Solve for F.

a)

F = (S + 24)/3

b)

F = S/3 + 24

c)

F = 3S + 24

d)

F = 3(S + 24)

151.

pV = nRT
Solve for R.

a)

R= pV/nT

b)

R= p/n + V/T

c)

R= pV - nT

d)

R= (pV-n)/T

152.

m - n = 5
Solve for m.

a)

m = 5 + n

b)

m = -5 - n

c)

m = -5 + n

d)

m = 5 - n

153.

-2 = 4r + s
Solve for s.

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

154.

P = IRT
Solve for T.

a)

P/(IR) = T

b)

P - IR = T

c)

P + IR = T

d)

IR - P = T

155.

a - b - c = 9
Solve for a.

a)

a = b + c + 9

b)

a = b - c + 9

c)

a = -b + c + 9

d)

a = -b - c + 9

156.

C = 2πr
Solve for r.

a)

C/(2π) = r

b)

C + 2π = r

c)

C - 2π = r

d)

2πC = r

157.

A = πr²
Solve for r².

a)

A/π = r²

b)

A + π = r²

c)

A - π = r²

d)

Aπ = r²

158.

What is equivalent to

2^4

a)

8

b)

16

c)

4

d)

2

159.

Exponents use.....

a)

repeated addition

b)

repeated division

c)

repeated multiplication

d)

repeated subtraction

160.

What is equivalent to

3x^2y\cdot6xy^3

a)

$9x^3y^4$

b)

$9x^3y^3$

c)

$18x^3y^4$

d)

$18x^3y^3$

161.

What is equivalent to

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

a)

$8a^6b^3$

b)

$4a^4b^2$

c)

$2a^2b^3$

d)

$8a^6b^2$

162.

What is equivalent to

6^4

a)

36

b)

1296

c)

216

d)

6

163.

What is equivalent to

5m^4n^3\cdot8m^5n^4z

a)

$40m^9n^7$

b)

$13m^8n^7z$

c)

$13m^9n^7z$

d)

$40m^9n^7z$

164.

What is equivalent to

\left(3x^2yz\right)^4

a)

$81x^8y^4z^4$

b)

$12x^8y^4z^4$

c)

$81x^4y^8z^4$

d)

$12x^4y^4z^4$

165.

What is equivalent to

7^3

a)

49

b)

343

c)

21

d)

7

166.

What is equivalent to

3ab^6\cdot x^5y^7

a)

$4ab^6x^5y^7$

b)

$3ab^6x^5y^7$

c)

$3b^6x^5y^7$

d)

$4b^6x^5y^7$

167.

What is equivalent to

\left(2x^2y^3z\right)^2

?

a)

$6x^6y^4z^2$

b)

$4x^4y^6z^2$

c)

$4x^2y^4z$

d)

$2x^2y^3z^2$

168.

What is equivalent to

2^4

a)

8

b)

16

c)

4

d)

2

169.

Exponents use.....

a)

repeated addition

b)

repeated division

c)

repeated multiplication

d)

repeated subtraction

170.

What is equivalent to

3x^2y\cdot6xy^3

a)

$9x^3y^4$

b)

$9x^3y^3$

c)

$18x^3y^4$

d)

$18x^3y^3$

171.

What is equivalent to

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

a)

$8a^6b^3$

b)

$4a^4b^2$

c)

$2a^2b^3$

d)

$8a^6b^2$

172.

What is equivalent to

6^4

a)

36

b)

1296

c)

216

d)

6

173.

What is equivalent to

5m^4n^3\cdot8m^5n^4z

a)

$40m^9n^7$

b)

$13m^8n^7z$

c)

$13m^9n^7z$

d)

$40m^9n^7z$

174.

What is equivalent to

\left(3x^2yz\right)^4

a)

$81x^8y^4z^4$

b)

$12x^8y^4z^4$

c)

$81x^4y^8z^4$

d)

$12x^4y^4z^4$

175.

What is equivalent to

7^3

a)

49

b)

343

c)

21

d)

7

176.

What is equivalent to

3ab^6\cdot x^5y^7

a)

$4ab^6x^5y^7$

b)

$3ab^6x^5y^7$

c)

$3b^6x^5y^7$

d)

$4b^6x^5y^7$

177.

What is equivalent to

\left(2x^2y^3z\right)^2

?

a)

$6x^6y^4z^2$

b)

$4x^4y^6z^2$

c)

$4x^2y^4z$

d)

$2x^2y^3z^2$

178.

According to exponent rules, when we divide with exponents of the same base we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

179.

According to exponent rules, when we multiply with exponents of the same base we _______ the exponents.

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

180.

Simplify: x ∙ x ∙ x ∙ x ∙ x ∙ x

a)

x⁶

b)

6x

c)

x³

d)

6x⁶

181.

a)

x²

b)

x³

c)

x

d)

x⁵

182.

a)

x⁴

b)

x⁸

c)

x¹²

d)

x²⁰

183.

a)

y²⁰

b)

y³

c)

y²⁶

d)

3y

184.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

185.

x⁴ (x¹²)

a)

x³

b)

x⁴⁸

c)

x¹⁶

d)

x⁸

186.

4 * 4²

a)

4²

b)

16²

c)

4³

d)

16³

187.

2 * 2² *2²

a)

2⁴

b)

8⁴

c)

36

d)

2⁵

188.

Simplify the following radical: √24

a)

2√6

b)

4√6

c)

2√12

d)

3√8

189.

Simplify the following radical: √300

a)

3√10

b)

2√150

c)

100√3

d)

10√3

190.

Simplify the following radical: √150

a)

5√15

b)

5√2

c)

5√6

d)

15√5

191.

Simplify 4√75

a)

4√5

b)

12√5

c)

20√3

d)

7√3

192.

Simplify the following radical: 2√24

a)

4√6

b)

2√6

c)

24√2

d)

4√4

193.

5√80

a)

20√5

b)

-4√5

c)

5√20

d)

4√5

194.

Simplify the radical - 10√20

a)

5√20

b)

-20√5

c)

4√5

d)

40√5

195.

Simplify:

√72

a)

√72

b)

2√2

c)

6√2

d)

4√18

196.

In simplest radical form, -5√75 is equivalent to:

a)

5√3

b)

-15√5

c)

√3

d)

-25√3

197.

What is the simplified form of √140

a)

4√35

b)

10√14

c)

2√70

d)

2√35

198.

Simplify:
√6 ⋅√6

a)

√36

b)

2√3

c)

12

d)

6

199.

√3 × √15 = Simplify your answers

a)

3√5

b)

5√3

c)

2√7

d)

√17

200.

Simplify:
√10 ⋅ √45

a)

3√50

b)

8√2

c)

√450

d)

15√2

201.

a)

13√3

b)

10√30

c)

13√6

d)

11√3

202.

Simplify fully.

$\frac{1}{\sqrt[]{24}}$

a)

$\frac{\sqrt[]{24}}{24}$

b)

$\frac{\sqrt[]{6}}{12}$

c)

$\frac{2\sqrt[]{6}}{24}$

d)

$\frac{\sqrt[]{6}}{6}$

203.

Simplify fully.

$\sqrt[]{\frac{8}{12}}$

a)

$\frac{\sqrt[]{96}}{12}$

b)

$\sqrt[]{\frac{2}{3}}$

c)

$\frac{\sqrt[]{6}}{9}$

d)

$\frac{\sqrt[]{6}}{3}$

204.

Simplify fully.

$\frac{10\sqrt[]{2}}{3\sqrt[]{5}}$

a)

$\frac{10\sqrt[]{10}}{15}$

b)

$\frac{2\sqrt[]{10}}{3}$

c)

$\frac{10\sqrt[]{10}}{75}$

d)

$\frac{2\sqrt[]{10}}{15}$

205.

Simplify fully.

$\frac{xy}{\sqrt[]{3xy}}$

a)

$\frac{\sqrt[]{3xy}}{3}$

b)

$\frac{\sqrt[]{3x^2y^2}}{3xy}$

c)

$\frac{xy\sqrt[]{3xy}}{3xy}$

d)

$\frac{\sqrt[]{3xy}}{9xy}$

206.

Simplify fully.

$\frac{3\sqrt[]{5x^{26}}}{\sqrt[]{6}}$

a)

$\frac{3x^{13}\sqrt[]{30}}{6}$

b)

$\frac{\sqrt[]{30x^{26}}}{2}$

c)

$\frac{\sqrt[]{30x^{13}}}{2}$

d)

$\frac{x^{13}\sqrt[]{30}}{2}$

207.

Simplify fully.

$\frac{n}{9\sqrt[]{2n}}$

a)

$\frac{\sqrt[]{2n^2}}{18n}$

b)

$\frac{n\sqrt[]{2n}}{18n}$

c)

$\frac{\sqrt[]{2n}}{36}$

d)

$\frac{\sqrt[]{2n}}{18}$

208.

Simplify fully.

$\frac{\sqrt[]{14k}}{\sqrt[]{6k^2}}$

a)

$\sqrt[]{\frac{7}{3k}}$

b)

$\frac{\sqrt[]{21k}}{3k}$

c)

$\frac{\sqrt[]{84k^3}}{6k^2}$

d)

$\sqrt[]{7}$

209.

Simplify fully.

$\frac{9x^6\sqrt[]{2}}{\sqrt[]{3x}}$

a)

$\frac{9x^6\sqrt[]{6x}}{3x}$

b)

$x^5\sqrt[]{6x}$

c)

$3x^5\sqrt[]{6x}$

d)

$x^4\sqrt[]{6x}$

210.

Simplify fully.

$\frac{2}{\sqrt[]{8x^3}}$

a)

$\frac{\sqrt[]{2x}}{2x^2}$

b)

$\frac{\sqrt[]{2}}{2x}$

c)

$\frac{\sqrt[]{2x^3}}{2x^3}$

d)

$\frac{\sqrt[]{8x^3}}{4x^3}$

211.

Simplify fully.

$\frac{2\sqrt[]{6n}}{\sqrt[]{84n}}$

a)

$\frac{\sqrt[]{14}}{7}$

b)

$\frac{n\sqrt[]{14}}{7}$

c)

$\frac{\sqrt[]{14n^2}}{7n}$

d)

$\frac{n\sqrt[]{14}}{14}$

212.

√32 / √8

a)

2

b)

4

c)

√8

d)

√2

213.

a)

A

b)

B

c)

C

d)

D

214.

a)

A

b)

B

c)

C

d)

D

215.

Divide:

a)

√12

b)

(4√3)/3

c)

√3

d)

(2√3)/3

Mid-Term Study Guide

Total questions: 215

Worksheet time: 15hrs 46mins

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