Free Printable Topic 2 Alternative Math Journal Assignment

1.

Which letter represents the base?

a)

A

b)

B

c)

C

2.

Which letter represents the exponent?

a)

A

b)

B

c)

C

3.

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7
?

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

4.

Which is equivalent to 2⁴?

a)

8

b)

20

c)

16

d)

12

5.

x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

6.

x⁰

a)

x

b)

⁰

c)

1

d)

Undefined

7.

3x⁻³

a)

1⁄3x³

b)

3⁄x³

c)

3x³

d)

-3x³

8.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

9.

According to exponent rules, when we multiply powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

10.

According to exponent rules, when we divide powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

11.

How do you solve:
(2x⁵)(6x⁴)

a)

MULTIPLY coefficients
MULTIPLY exponents

b)

DIVIDE coefficients
SUBTRACT exponents

c)

Combine like terms

d)

MULTIPLY coefficients
ADD exponents

12.

Rewrite the expression as a power.
(2⁴)(2⁵)

a)

2²⁰

b)

4⁹

c)

4²⁰

d)

2⁹

13.

Simplify the expression.
x⁴ (x¹²)

a)

x³

b)

x⁴⁸

c)

x¹⁶

d)

x⁸

14.

Simplify (2m⁴)(5m²)

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

15.

Simplify the expression.
(6x²)(-3x⁵)

a)

18x⁷

b)

-18x⁷

c)

18x⁷

d)

3x⁷

16.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

17.

x⁸ / x²

a)

x⁴

b)

x¹⁶

c)

x^-6

d)

x⁶

18.

x⁵y³ / xy²

a)

x⁴y

b)

x²y

c)

x⁴y²

d)

x⁶y⁵

19.

Simplify the exponential expression:

a)

10x^-2

b)

2x²

c)

2x¹²

d)

10x¹²

20.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

21.

2(1+10v)

a)

2+12v

b)

2+20v

c)

2+9v

22.

3(4+3r)

a)

12+9r

b)

7+6r

c)

12+5r

23.

4(8n+2)

a)

4n+2

b)

12n+6

c)

32n+8

24.

6(7k+11)

a)

7k+11

b)

42k+66

c)

13k+16

25.

5(1+5b)

a)

5+25b

b)

6+6b

c)

5+10b

26.

10(2a+1)

a)

20a+10

b)

12a+10

c)

10a+1

27.

7(2f+3)

a)

14f+10

b)

9f+10

c)

14f+21

28.

5(a+6)

a)

5a+30

b)

5a+6

c)

5a-11

29.

4(k+7)

a)

4k+7

b)

4k+11

c)

4k+28

30.

8(3b+1)

a)

24b+8

b)

8b+1

c)

11b+9

31.

2(5n+1)

a)

10n+2

b)

2n+1

c)

7n+3

32.

10(3y+1)

a)

13y+11

b)

30y+10

c)

10y+1

33.

5(4j+2)

a)

20j+10

b)

5j+10

c)

9j+7

34.

9(3w+1)

a)

27w+9

b)

12w+10

c)

9w+1

35.

6(2r+10)

a)

8r+16

b)

12r+60

c)

6r+10

36.

Factor 12x - 20

a)

6(2x - 3)

b)

4(3x - 5)

c)

4x(3x - 5)

d)

3(4x + 6)

37.

Factor in simplest form: 6x + 12

a)

3(2x + 4)

b)

6(x+2)

c)

6x(x+2)

d)

1/2 (3x + 24)

38.

Factor completely: 6x + -3

a)

3(2x + -1)

b)

-2 + -1 + 6 + x

c)

6( -2 + x )

d)

3 ( 1 + 2x)

39.

Write in standard form: -5 + 2(1 + 3x)

a)

7 + 3x

b)

-3 -15x

c)

-3 + 6x

d)

7 - 3x

40.

Factor completely: -3 + 6x

a)

-3 (1 + 2x)

b)

-2 + -1 + 6 + x

c)

6( -2 + x )

d)

3 ( 1 + 2x)

41.

Factor completely: 16 + 24x

a)

8 ( 2 + 3x)

b)

4 ( 4 + 7x)

c)

8 ( 2 - 3x)

d)

6 ( 4x + 3)

42.

Factor:
17xy - x

a)

17(xy - x)

b)

y(17x - x)

c)

x(17y - 1)

d)

Can't be factored

43.

Factor:
4x + 30y

a)

2(x + 15y)

b)

4(x + 15y)

c)

2(2x + 15y)

d)

can't be factored

44.

Factor:
7x + 48y

a)

7(x + 7y)

b)

7(x + y)

c)

can't be factored

d)

7(x + 48y)

45.

True or False?
2x + 6 = 2(x + 3)

a)

True

b)

False

46.

Factor Completely:
24+16q

a)

4(7+4q)

b)

8(3+2q)

c)

4(6q+2)

d)

24(24-16q)

47.

Factor:
4x + 30y

a)

2(x + 15y)

b)

4(x + 15y)

c)

2(2x + 15y)

d)

can't be factored

48.

The like terms of -9y²+4-2y+5y² are:

a)

4 and -2

b)

-9y²and 5y²

c)

-9y², -2y , 4 and 5y²

d)

-9y², -2y and 5y²

49.

Factoring is the opposite of distributing.

a)

True

b)

False

50.

How would you write 4.3756 x 10⁴in standard form?

(a)

51.

How would you write 0.0005 in scientific notation?

a)

50 x 10^-5

b)

5 x 10^-4

c)

5 x 10³

d)

.5 x 10³

52.

How would you write -5.6 x 10^-3 in standard form?

(a)

53.

Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.

a)

True

b)

False

54.

Scientific Notation is made up of two number parts. The second part is a power 10.

a)

True

b)

False

55.

How do you write 8.317 x 10⁶in standard form?

(a)

56.

Which of the following numbers is written in scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

57.

Express the following in scientific notation:

.000457

a)

457 x 10⁶

b)

457 x 10^-6

c)

4.57 x10⁴

d)

4.57 x 10^-4

58.

Convert to scientific notation:

520,000,000

a)

52 x 10⁷

b)

5.2 x 10^-7

c)

5.2 x 10⁸

d)

0.52 x 10⁹

59.

What is scientific notation?

a)

A long way to write really short numbers

b)

A short way to write really large or really small numbers

c)

I don't know...

d)

None of the above

60.

If the exponent is a positive number the original number was...

a)

a really big number.

b)

a really small number.

61.

If the exponent is a negative number the original number was...

a)

a really large number.

b)

a really small number.

62.

Convert this number to standard notation:

7.1 x 10⁴

(a)

63.

Convert this number into scientific notation:

0.068

a)

6.9 x 10⁶

b)

6.8 x 10^-9

c)

6.8 x 10^-2

d)

None of the above

64.

Convert this number to standard notation:

1.4 x 10^-2

(a)

65.

Convert this number into scientific notation:

950,000

a)

9.5 x 10⁵

b)

9.5 x 10^-9

c)

9.5 x 10²

d)

None of the above

66.

Which value is the greatest?

a)

5.0 x 10^-9

b)

5.0 x 10^-4

c)

5.0 x 10⁶

d)

5.0 x 10⁸

67.

Which number is the least in value?

a)

5.0 x 10^-9

b)

5.0 x 10^-4

c)

5.0 x 10⁶

d)

5.0 x 10⁸

68.

Multiply:

(4 x 10⁵)(5 x 10^-3)

a)

20 x 10²

b)

20 x 10^-8

c)

2 x 10³

d)

2 x 10

69.

Solve:
(2.1×10²) × (3.0×10⁴)

a)

5.1 x 10²

b)

6.3 x 10⁶

c)

5.1 x 10⁶

d)

6.3 x 10⁸

70.

Solve:

(6 x 10⁶) / (2 x 10³)

a)

12 x 10³

b)

3 x 10⁹

c)

1.2 x 10¹⁰

d)

3 x 10³

71.

Solve:

(9 x 10^-6) (3 x 10^-3)

a)

27 x 10^-9

b)

3 x 10^-3

c)

2.7 x 10^-8

d)

2.7 x 10^-10

72.

Write the answer in scientific notation.
5 x 10⁸ - 3.4 x 10⁸ =

a)

2.4 x 10⁸

b)

2.4 x 10⁰

c)

1.6 x 10⁰

d)

1.6 x 10⁸

73.

Write the answer in scientific notation.
7.3 x 10⁵ + 3.7 x 10⁵ =

a)

11.0 x 10⁵

b)

1.1 x 10¹⁰

c)

1.1 x 10¹¹

d)

1.1 x 10 ⁶

74.

Write the answer in scientific notation.
4.1 x 10⁵ + 5.5 x 10⁶ =

a)

5.91 x 10⁶

b)

9.6 x 10⁵

c)

9.6 x 10¹¹

d)

4.65 x 10⁵

75.

Find the difference
(3.8 x 10⁴) - (2 x 10³)

a)

1.8 x 10⁴

b)

1.8 x 10¹

c)

3.6 x 10¹

d)

3.6 x 10⁴

76.

Solve:

(8.0 x 10¹³) - (7.5 x 10¹²)

a)

5.0 x 10²

b)

0.5 x 10¹

c)

7.25x 10¹³

d)

5.0 x 10¹³

77.

(9.6×10^-8)÷(2×10^-15)

a)

-4.8×10⁷

b)

4.8×10⁷

c)

4.8×10^-7

d)

4.8×10^-23

78.

Multiply:
(3.4 x 10⁵)(1.2 x 10^-3)

a)

4.08 x 10^-8

b)

4.8 x 10²

c)

4.08 x 10²

d)

4.08 x 10^-15

79.

Divide:
(6.9 x 10⁷) / (2.3 x 10^-3)

a)

3 x 10¹⁰

b)

3 x 10⁴

c)

3 x 10^-4

d)

3 x 10^-11

80.

What is the simplified version of

a)

3.9 x 10⁶

b)

4 x 10²⁰

c)

4 x 10⁶

d)

3.9 x 10²⁰

81.

Multiply:
(9.4 x 10⁶)(3.2 x 10⁵)

a)

30.08 x 10¹¹

b)

3.8 x 10¹

c)

3.008 x 10¹²

d)

2.9375 x 10¹

82.

Add using scientific notation.
(5.2 x 10⁷) + (3.01 x 10⁴)

a)

8.01 x 10¹¹

b)

8.01 x 10⁷

c)

5.20301 x 10⁷

d)

5.20301 x 10⁸

83.

Solve:

(7.8 x 10⁷) - (2.45 x 10⁶)

a)

7.555 x 10⁷

b)

7.555 x 10⁶

c)

5.35 x 10⁷

d)

5,35 x 10⁶

84.

Solve:

(4.5 x 10²) + (6.2 x 10⁴)

a)

6.245 x 10⁴

b)

6.245 x 10²

c)

10.7 x 10²

d)

1.07 x 10⁴

85.

Solve:
(6.0 x 10⁴) + (3.0 x 10⁴)

a)

9.0 x 10⁴

b)

3.0 x 10⁴

c)

9.0 x 10⁸

d)

3.0 x 10⁰

86.

(8 x 10⁴) + (4 x 10⁴)

a)

12 x 10⁴

b)

1.2 x 10⁵

c)

1.2 x 10⁹

d)

1.2 x 10⁸

87.

(8 x 10⁴) + (4 x 10⁴)

a)

12 x 10⁴

b)

1.2 x 10⁵

c)

1.2 x 10⁹

d)

1.2 x 10⁸

88.

2n⁴ * 6n⁴

a)

8n⁴

b)

12n⁸

c)

8n¹⁶

d)

none of the above

89.

(3c²)(10c⁷)

a)

13c⁹

b)

30c⁵

c)

30c⁹

d)

-30c⁹

90.

$-15m^{10}\ ÷\ \left(-5m^5\right)$

a)

$3m^5$

b)

$-3m^5$

c)

$75m^2$

d)

$3m^2$

e)

None of these

91.

$2n^4\ \cdot\ 4n^9$

a)

$8n^5$

b)

$18n^5$

c)

$8n^{36}$

d)

$8n^{13}$

e)

None of these

92.

$36a^{9\ }÷\ 6a^6$

a)

$6a^{15}$

b)

$6a^3$

c)

$6a^{1.5}$

d)

$6a^{54}$

e)

None of these

93.

$-80x^{4\ }÷\ 8x^3$

a)

$-10x$

b)

$-10x^7$

c)

$10x^7$

d)

$10x$

e)

None of these

94.

$\frac{8x^8}{2x^2}$

a)

$4x^4$

b)

$6x^4$

c)

$6x^6$

d)

$4x^6$

95.

Simplify the expression
7u²v⁵ (9uv³)

a)

16u²v⁸

b)

63u³v¹⁵

c)

63uv⁸

d)

63u³v⁸

96.

Multiply the following monomials below.

(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

97.

Simplify.
$\frac{7p^3}{5p}$

a)

$2p^2$

b)

$2p^3$

c)

$\frac{7}{5}p^3$

d)

$\frac{7}{5}p^2$

98.

40x⁴ ÷ 8x

a)

5x³

b)

5

c)

5x⁴

d)

320x⁵

99.

Simplify.

(3x⁴y⁵)²

a)

9x⁸y¹⁰

b)

6x⁸y¹⁰

c)

3x⁸y¹⁰

d)

x⁸y¹⁰

100.

What is $10^2$ ?

a)

10 x 10 x 10

b)

10

c)

10 x 10

d)

10 x 1

101.

What is $10^3$ ?

a)

10

b)

10 x 10 x 10

c)

10 x 1

d)

10 x 10

102.

What is 10 x 10 x 10 x 10 x 10?

a)

1,000

b)

10,000

c)

100,000

d)

100

103.

Which expression is greater?

a)

93 x 10³

b)

11 x 10⁴

104.

Which is equivalent to multiplying a number by 10⁴?

a)

multiplying by 40

b)

multiplying by 100

c)

multiplying by 1,000

d)

multiplying by 10,000

105.

How would you represent $\frac{1}{1000}$ as a power of 10?

a)

$10^3$

b)

$10^{-3}$

c)

$-10^3$

d)

$-10^{-3}$

106.

Which power of 10 would 0.01 represent?

a)

$-10^{-2}$

b)

$10^1$

c)

$10^{-1}$

d)

$10^{-2}$

107.

Round 12.87 to nearest ones place.

a)

12.9

b)

13

c)

12.90

d)

13.0

108.

_{Round 0.376 to the nearest hundredth.}

a)

0.4

b)

0.476

c)

0.38

d)

0.380

109.

Round 3,450 to the nearest hundred.

a)

3,500

b)

3,550

c)

3,000

d)

4,000

110.

Round 435.86 to the nearest tenth.

a)

435.8

b)

435

c)

435.87

d)

435.9

111.

Round 3,999.243 to the nearest hundredth.

a)

3,999.24

b)

3,999.25

c)

3,999.244

d)

3,400.00

112.

Round 0.44 to the nearest tenth.

a)

0.44

b)

0.5

c)

0.45

d)

0.4

113.

Round 0.058 to the nearest tenth.

a)

1.0

b)

0.1

c)

0.16

d)

0.01

114.

Round 983.320 to the nearest hundredth.

a)

983

b)

1,000

c)

983.330

d)

983.32

115.

Round 0.954 to the nearest tenth.

a)

1.1

b)

1.0

c)

1.00

d)

0.10

116.

Round 61.9348 to the nearest thousandth.

a)

61.9349

b)

61.93

c)

61.935

d)

61.934

117.

Round 498.09 to the nearest ones place.

a)

500

b)

499

c)

498.10

d)

498

118.

Round 9,843,023.944 to the nearest hundredth.

a)

9,843,023.94

b)

9,843,023.9

c)

9,843,023.95

d)

9,843,000

119.

What is the reciprocal of 6? (hint: remember to make the whole number a fraction before doing the reciprocal)

a)

6

b)

$\frac{12}{6}$

c)

$\frac{1}{6}$

d)

0.6

120.

Which equation shows an example of the Multiplicative Inverse Property?

a)

89 x 0 = 0

b)

89 x 1/89 = 1

c)

8 + -8 = 0

d)

8 x 1 = 8

121.

Any number times its reciprocal equals 1

a)

Multiplicative Identity Property

b)

Associative Property

c)

Multiplicative Inverse Property

d)

Reciprocal Property

122.

What is the MULTIPLICATIVE INVERSE of
8

a)

-8

b)

^-1/₈

c)

¹/₈

d)

1

123.

2/3 x ____ = 1

a)

-2/3

b)

3/2

c)

-3/2

d)

-1

124.

Find the reciprocal of $\frac{7}{11}$

a)

1 $\frac{1}{7}$

b)

$\frac{11}{11}$

c)

$\frac{11}{7}$

d)

$\frac{7}{7}$

125.

Find the reciprocal of 7

a)

$\frac{1}{7}$

b)

$\frac{7}{1}$

c)

1 $\frac{1}{7}$

d)

$\frac{7}{7}$

126.

2/3 x 3/2 = 1

a)

Additive Inverse

b)

Additive Identity

c)

Multiplicative Inverse

d)

Multiplicative Identity

127.

6 x 1/6 = 1

a)

Multiplicative Inverse

b)

Multiplicative Identity

c)

Additive Inverse

d)

Additive Identity

128.

What is the multiplicative inverse of 2/3?

a)

-2/3

b)

3/2

c)

-3/2

d)

2/3

129.

$\frac{4}{7}\cdot\frac{7}{4}=1$

a)

Multiplicative Inverse Property

b)

Additive Inverse Property

c)

Multiplicative Identity Property

d)

Additive Identity Property

130.

4/3 ⋅ 3/4 = 1

a)

Multiplicative Identity

b)

Multiplicative Inverse

c)

Commutative Mult

d)

Additive Inverse

131.

$\left(ab^2\right)^8$ =

a)

$ab^{16}$

b)

$a^8b^{16}$

c)

$a^9b^{10}$

d)

$ab^{10}$

132.

$\left(x^7\right)^2$ =

a)

$x^{14}$

b)

$x^9$

c)

$x^5$

d)

$2x^7$

133.

(3r²s³)(2r⁴s²)

a)

6r⁶s⁵

b)

5r⁶s⁵

c)

6r⁸s⁶

d)

joe

134.

xy⁰

a)

xy

b)

x

c)

1

d)

0

135.

Write this expression using positive exponent:

x^-7

a)

-7

b)

-7x

c)

1/x⁷

d)

-1/x⁷

136.

Write using only positive Exponents. SIMPLIFY

\frac{1}{\left(2\right)^{-2}}

a)

-4

b)

$\frac{1}{2^2}$

c)

$2^2$

d)

4

137.

Simplify the following expression:

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

138.

$7b^3\ \cdot\ 3b^2$

a)

$10b^6$

b)

$21b^6$

c)

$10b^5$

d)

$21b^5$

139.

$\left(ab^2\right)^8$ =

a)

$ab^{16}$

b)

$a^8b^{16}$

c)

$a^9b^{10}$

d)

$ab^{10}$

140.

True or False

\left(-7\right)^0=-1

a)

True

b)

False

141.

True or False

\left(2.7\right)^0=1

a)

True

b)

False

142.

Simplify the expression

-\left(9\right)^0

a)

1

b)

0

c)

-1

143.

Simplify:

$-\frac{21w^5x^2}{7w^4x^5}$

a)

$\frac{16y^{20}}{x^9}$

b)

$\frac{1}{32r^{20}}$

c)

$\frac{1}{m}$

d)

$\frac{-3w}{x^3}$

144.

Simplify:

$\frac{m}{m^2}$

a)

$\frac{16y^{20}}{x^9}$

b)

$\frac{1}{32r^{20}}$

c)

$\frac{1}{m}$

d)

$-\frac{1}{6x^3}$

145.

2³x 2⁶

a)

2¹⁸

b)

2⁹

c)

2³

d)

2¹⁰

146.

Simplify

a)

$d^{-2}$

b)

$d^2$

c)

$d^{36}$

d)

$d^{18\ }$

147.

$\left(\frac{6xy^5z}{2xy^4z}\right)^{3\ }$

a)

$27xy^3z$

b)

$3^3y^3$

c)

$27xyz$

d)

$27y^3$

148.

Combine the like terms in the expression: 4t-9+3t

a)

7t-9

b)

43t-9

c)

There are no like terms

149.

Combine the like terms in the expression: 4z+2z-8

a)

There are no like terms

b)

6z-8

c)

8z-8

150.

Combine the like terms in the expression: 5y+2+3y+6

a)

There are no like terms

b)

8y+2+6

c)

53y+12

d)

8y+8

151.

Combine the like terms in the expression: 12c+2+7c

a)

There are no like terms

b)

19c+2

c)

5c+2

d)

19c

152.

Combine the like terms in the expression: 4+9g-3g

a)

4+6g

b)

There are no like terms

c)

13g-3g

d)

4+12g

153.

Combine the like terms in the expression: 3r+2r-8t

a)

There are no like terms

b)

5r-8t

c)

13rt

154.

Combine the like terms in the expression: x-8+4x

a)

3x-8

b)

4x-8

c)

There are no like terms

d)

5x-8

155.

Combine the like terms in the expression: 12x+2+3x

a)

9x+2

b)

15x+2

c)

There are no like terms

d)

13x

156.

Combine the like terms in the expression: 4d+2d-2

a)

6d-2

b)

d

c)

There are no like terms

d)

4d

157.

Combine the like terms in the expression: 3f+d+4f

(a)

158.

Combine the like terms in the expression: 2w+5w+4

(a)

159.

Combine the like terms in the expression: 2s-4w+5+6s

(a)

160.

Combine the like terms in the expression: 5y+9+8y

(a)

161.

Combine the like terms in the expression: 4f+9f-8

(a)

162.

Combine the like terms in the expression: 5p+9-2p

(a)

163.

-3x + 11y - 4x

a)

7x + 11y

b)

-7x + 11y

c)

7x - 11y

d)

4xy

164.

-9n + 12n + 7

a)

28n

b)

10n

c)

21n + 7

d)

3n + 7

165.

7 - 5m - 10m

a)

7 + 15m

b)

7 + 5m

c)

7 - 5m

d)

7 - 15m

166.

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

167.

Simplify the Expression:

3a + 7 - 2a

a)

8a

b)

12a

c)

a + 7

d)

5a + 7

168.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

169.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

170.

-6k + 7k=

a)

k

b)

-k

c)

12k

d)

-12k

171.

Simplify the following expression
7 - 8c + 3 - 6c

a)

-10+14c

b)

-25

c)

10-14c

d)

25c

172.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

173.

-½ (8w + 10)

a)

-4w + 5

b)

-4w - 5

c)

4w + 5

d)

4w - 5

174.

$-\frac{2}{3}\left(\frac{9}{2}x\ +\frac{15}{2}\right)$

a)

-3x - 5

b)

-3x + $\frac{15}{2}$

c)

7x + 13

d)

$-\frac{27}{4}x\ -\frac{45}{4}$

175.

⅔(x - 3) - 4

a)

⅔x - 7

b)

⅔x - 6

c)

⅔x - 1

d)

⅔x - 2

176.

-5x + ¾(8x - 12)

a)

x - 12

b)

x - 9

c)

-11x - 9

d)

-5x - 15

177.

-¾(x - ½) + ⅝

a)

-¾x + 1

b)

-¾x + ⅜

c)

-¾x - 1

d)

¾x - ¼

178.

Simplify:

2.5(-1.2x + 3)

a)

-3x + 7.5

b)

3x - 7

c)

-3.7x + 5.5

d)

3.7x - 2.8

179.

Simplify:

-3.4(x - 2.1) + 7x

a)

10.4x + 5.5

b)

3.6x + 7.14

c)

4.6x - 6.4

d)

-3.4x + 14.14

180.

Simplify:

-10r + 20(-1.5r + 0.75)

a)

-30r + 15

b)

-20r - 15

c)

-40r + 15

d)

20r - 15

181.

Simplify:

0.4x + 1.4(2.2x + 1)

a)

3.48x + 1.4

b)

2.8x + 1.4

c)

3.08x + 1.8

d)

4x + 2.4

182.

These have the the same variable and can, therefore, be combined...

a)

Expressions

b)

Distributive Property

c)

Additive Inverse

d)

Like Terms

183.

Simplify: 6x + 12x + 3 y

a)

21x

b)

18x + 3y

c)

72x + 3y

d)

6x + 15y

184.

Simplify:
-8n - 7(n+5)

a)

-15n - 35

b)

-1n -35

c)

-15n +35

d)

n +5

185.

Choose ALL expressions equivalent to $4\left(-2x+3\right)$

a)

$-8x+3$

b)

$-2x+12$

c)

$-8x+12$

d)

$-2\left(-6+4x\right)$

e)

$-12+8x$

186.

A _____________ is a symbol, usually a letter that stands for a number.

a)

coefficient

b)

algebraic expression

c)

variable

d)

term

187.

Which words could be used to describe the following expression? 6h

a)

addition

b)

subtraction

c)

multiplication

d)

division

188.

Are the following expressions equivalent?

4( y - 1) and 1 + 4y

a)

yes

b)

no

189.

Which expression is equivalent to 12(5 - 4x)?

a)

12x

b)

17 - 16x

c)

60 - 48x

d)

60 - 4x

190.

Use the distributive property to find an equivalent expression: 5(2f + 4)

a)

10f + 4

b)

10f + 9

c)

10f + 20

d)

30f

191.

___ + 5 = 5 + 9

a)

9

b)

19

c)

14

d)

-9

192.

(5 + 3) + 2 = 5 + (3 + 2)

a)

Commutative Addition

b)

Commutative Multiplication

c)

Associative Addition

d)

Associative Multiplication

193.

Find an equivalent expression using the Associative property:
2 + ( 3 + p ) =

a)

2 x 3 x p

b)

2p + 3

c)

( 2 + 3 ) + p

d)

3 + ( 2 + p )

194.

Which is an example of the commutative property of addition?

a)

2 + 3 = 3 + 2

b)

2 * 0 = 0

c)

4 * 1 = 4

d)

(2 + 3) + 4 = 2 + (3 + 4)

195.

25 + x = x + 25

a)

Commutative Property of Addition

b)

Commutative Property of Multiplication

c)

Associative Property of Multiplication

d)

Associative Property of Addition

196.

25 + x = x + 25

a)

Commutative Property of Addition

b)

Commutative Property of Multiplication

c)

Associative Property of Multiplication

d)

Associative Property of Addition

197.

Name the property.
7 + (11 + 10) = (7 + 11) + 10

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

Identity Property

198.

Which is an example of Associative Property of Addition ?

a)

4 + 0 = 4

b)

6 + (-6) = 0

c)

(3 + 8) + 5 = 3 + (8 + 5)

d)

7 + 3 = 3 + 7

199.

Which answer choice is equivalent to:
10x-16

a)

4(3x-4)+2x

b)

8(2x-2)-6x

c)

10(x-16)

d)

5(2x-15)-1

200.

Create an equivalent expression:

¼(-12c + 40)

(a)

201.

Any number written to the 0 power is always 1

Example: 8⁰=1

a)

True

b)

False

202.

x⁰

a)

0

b)

1

c)

x

d)

12

203.

Simplify -4x⁰

a)

-4

b)

-4x

c)

-1

d)

1

e)

0

204.

(2a³b ∙ ba³)⁰

a)

1

b)

2ab

c)

0

d)

6ba

205.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

This cannot be determined.

206.

Simplify x^-7

a)

-7

b)

-7x

c)

\frac{1}{x^7}

d)

$-\frac{1}{x^7}$

207.

Make this negative exponent positive.

9^-3

a)

9³

b)

$\frac{1}{9^{-3}}$

c)

$\frac{1}{9^3}$

d)

729

208.

Rewrite using positive exponents.

3x⁻²

a)

$\frac{3}{x^2}$

b)

$\frac{1}{3^2}$

c)

$\frac{x^2}{3}$

d)

-3x²

209.

Rewrite using positive exponents

\frac{1}{12^{-4}}

a)

$\frac{1}{12^4}$

b)

$12^{-4}$

c)

$\frac{1}{20,736}$

d)

$12^4$

210.

Simplify
6.7⁰

a)

6.7

b)

1

c)

-1

d)

0

211.

a)

4

b)

4x

c)

1

d)

0

212.

Simplify (-1/2)⁰

a)

½

b)

-½

c)

0

d)

1

213.

Simplify 8^-2

a)

1/(8)²

b)

1/8²

c)

1/64

d)

-64

214.

Simplify 3x^-2

a)

1/3x²

b)

3/x²

c)

3x²

d)

x²/3

215.

Simplify so that all exponents are positive!

s^-5⋅ s^-2

a)

s^-3

b)

¹/_s⁷

c)

s^-7

d)

¹/_s³

216.

Simplify so that all exponents are positive!

5a³b^-2

a)

5a³/b^-2

b)

b²/5a³

c)

5a³/b²

217.

Simplify so that all exponents are positive!

m^-5/n²

a)

n²m⁵

b)

n²/m⁵

c)

1/m⁵n²

218.

$\frac{r^{-2}}{r^5}$

a)

$r^3$

b)

$r^7$

c)

$r^{-3}$

d)

$r^{-7}$

219.

$\frac{w^4\cdot w^{-9}}{w^3}$

a)

$w^{-2}$

b)

$w^{-16}$

c)

$w^{-8}$

d)

$w^6$

220.

Find the area of the rectangle.

(Area = Length * Width)

a)

30m^7n^3

b)

$11m^7n^3$

c)

$30m^{12}n^2$

d)

$11m^{12}n^2$

221.

Find the area of the rectangle.

(Area = Length * Width)

a)

3x^8y^7

b)

$3x^2y$

c)

$3x^{15}y^{12}$

d)

$\frac{1}{3}x^8y$

222.

What is the value of n?

\left(2^2\right)^{4\ }\cdot2^{3\ }=\ 2^{11}\ \cdot\ 2^n

a)

$n\ =\ 0\$

b)

$n\ =\ 1$

c)

$n\ =\ 2$

d)

$n\ =\ 13$

223.

What is the value of n?

\frac{8^n}{8^3}=\ 8^{2\ }\cdot\ 8^{5\ }

a)

$n\ =\ 4$

b)

$n\ =\ 10\$

c)

$n\ =\ 13$

d)

$n\ =\ 7\$

224.

Simplify this expression:

\frac{3^{11}\cdot4^2}{3^{10}}

a)

$3\ \cdot\ 4^2$

b)

$12^3$

c)

$12^{23}$

d)

$3^{21}\cdot4^{2\ }$

225.

Simplify the expression:

\left(x^2\right)^6\ \cdot\ x\ \cdot\ x^{5\ }

a)

$x^{14}$

b)

$x^{17}$

c)

$x^{18}$

d)

$x^6$

226.

Select ALL expressions that are equivalent to the expression below

\frac{h^7\cdot h^5}{h^0\ \cdot\ h^3}

a)

$\frac{h^7\cdot h^5}{h^{3\ }}$

b)

$h^4\ \cdot\ h^{5\ }$

c)

$h^{9\ }$

d)

$\frac{h^{12}}{h^4}$

227.

3. In the year 2000, the United States public debt was about 5.6 x 10¹² dollars. The population of the United States in that year was about 2.8 x 10⁸ people. What was the average debt per person?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

228.

4. Find the combined mass of Earth and Venus. Earth is approximately 5.9 x 10²⁴ kg and Venus is approximately 4.9 x 10²⁴ kg.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

229.

2. On average, Mercury is about 57,000,000 km from the sun, whereas Neptune is about 4.5 x 10^9 km from the sun. What is the difference between Neptune’s and Mercury’s distances from the sun?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

230.

5. The Colorado Department of Education spent about 4.408 x 10⁹ in fiscal year 2004-2005 on public schools. There were about 7.6 x 10⁵ students enrolled in public school. What was the average spending per student?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

231.

The mean distance from the sun to Earth is 9.29 x 10⁷ miles. Jupiter's mean distance from the sun is 4.8388 x 10⁸ miles. What is the difference between these two distances in miles?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

232.

The mass of he sun is 1.989 x 10³⁰ kilograms. The mass of the earth is 5.98 x 10²⁴ kilograms. How many times bigger is the sun than the earth?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

233.

There are approximately 3.1 x 10⁸ people in the United States. If each person has 4.1 x 10¹ coins, how many coins are there altogether?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

234.

A factory can make 3 × 10⁴ t-shirts per day, how many t-shirts will it make in 2.5 ×10² days?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

235.

The distance from the sun to the Andromeda galaxy is 1.2 x 10¹⁹ miles. Light travels at a speed of 5.88 x 10¹² miles per year (called a light-year). How long does it take light from the sun to the Andromeda galaxy?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

236.

In 2012, New York City (NYC) and Los Angeles (LA) has the highest populations of any cities in the United States. NYC’s population was about 8.1 × 10⁶ and LA’s population was about 3.8 × 10⁶. What is the population of these two cities combined?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

237.

In 1985 Earth had 4.9 ×10⁹ people living on it and in 2005, earth had 6.4 ×10⁹ living on it. How many more people inhabited Earth in 2005 than in 1985?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

238.

The mass of he sun is 1.989 x 10³⁰ kilograms. The mass of the earth is 5.98 x 10²⁴ kilograms. How many times bigger is the sun than the earth?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

239.

In 1985 Earth had 4.9 ×10⁹ people living on it and in 2005, earth had 6.4 ×10⁹ living on it. How many more people inhabited Earth in 2005 than in 1985?

a)

1.13 x 10⁹

b)

1.13 x 10¹⁰

c)

1.5 x 10⁸

d)

1.5 x 10⁹

240.

If a computer can perform an addition operation in 1.5 x 10^-6 seconds, how long will it take to perform 1500 such operations?

a)

2.25 x 10^-3 seconds

b)

2.25 x 10^-6 seconds

c)

2.25 seconds

d)

2.25 x 10⁶ seconds

241.

Total health care costs in the United States in 2016 was $1.7 trillion. he US population was 290.9 million. What was the average amount spent per person on health care?

a)

$5844

b)

$584.40

c)

$58.40

d)

$58440

242.

The mass of he sun is 1.989 x 10³⁰ kilograms. The mass of the earth is 5.98 x 10²⁴ kilograms. How many times bigger is the sun than the earth?

a)

3.326 x 10⁵

b)

3.326 x 10⁶

c)

1.99 x 10³⁰

d)

1.99 x 10⁶

243.

A TV show had 3.5 × 10⁶ viewers for their first episode and 8.5 × 10⁶ viewers for their second episode. How many viewers did they have overall?

a)

1.2 x 10⁷

b)

1.2 x 10^-7

c)

1.2 x 10⁶

d)

1.2 x 10^-6

244.

In 2012, New York City (NYC) and Los Angeles (LA) has the highest populations of any cities in the United States. NYC’s population was about 8.1 × 10⁶ and LA’s population was about 3.8 × 10⁶. What is the population of these two cities combined?

a)

1.19 x 10^-7

b)

1.19 x 10⁷

c)

11.9 x 10⁶

d)

1.19 x 10⁶

245.

A computer's hard disk drive holds 8 x 10⁷bytes of information. If Jill buys an extra memory stick that holds 3 x 10⁶ bytes of information, how much memory will the computer hold?

a)

11 x 10¹³

b)

11 x 10⁷

c)

8.3 x 10¹³

d)

8.3 x 10⁷

246.

The distance from the sun to the Andromeda galaxy is 1.2 x 10¹⁹ miles. Light travels at a speed of 5.88 x 10¹² miles per year (called a light-year). How long does it take light from the sun to the Andromeda galaxy?

a)

2.04 x 10⁶ years

b)

2.04 x 10⁷ years

c)

7.056 x 10²¹ years

d)

7.056 x 10⁷ years

247.

As part of a community service project, a class planted 7x10⁵ trees in a year. If there are 3.5x10³ students in the school, how many trees did each student plant?

a)

2 x 10⁸

b)

2 x 10²

c)

3.5 x 10⁸

d)

3.5 x 10²

248.

The US spends an average of 1.02x10⁴dollars on each student per year. There are about 7.6x10⁷ students in the US. About how much money total is spent on students per year?

a)

7.752 x 10¹¹

b)

7.752 x 10²⁸

c)

8.62 x 10¹¹

d)

8.62 x 10²⁸

249.

The Diplodocus dinosaur is believed to have become extinct approximately 1.38x10⁸years ago. The Oviraptor is believed to have become extinct approximately 7x10⁷years ago. How many years were there between the extinction of these two dinosaur types?

a)

6.8 x 10⁸

b)

6.8 x 10⁹

c)

68 x 10⁸

d)

6.8 x 10⁷

250.

A microgram is equal to 1 x 10 ^-6grams. How many times greater than a microgram is 1 x 10²grams?

a)

1 x 10^-8

b)

1 x 10^-4

c)

1 x 10⁴

d)

1 x 10⁸

Topic 2 Alternative Math Journal Assignment

Total questions: 250

Worksheet time: 12hrs 10mins

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