Free Printable PRELIM 4 MST

1.

Which number is the BASE?

2³= 8

a)

2

b)

3

c)

8

d)

I don't know, request me for Tiger Time for help please!

2.

Write the following in exponential form:

4 x 4 x 4 x 4 x 4

a)

4⁵

b)

5⁴

c)

4⁶

d)

4⁶

3.

How do you use exponents to represent numbers?

a)

repeated multiplication

b)

repeated addition

c)

repeated subtraction

d)

repeated division

4.

How would you represent the power using factors?

10^2

a)

10

b)

10 x 10

c)

10 x 10 x 10

d)

10 x 2

5.

Find the value.

$2^5$

a)

2x5

b)

16

c)

10

d)

32

6.

Which number is the EXPONENT?
4^{2 =}16

a)

4

b)

2

c)

16

d)

not here

7.

The exponent tells me...

a)

the answer

b)

the trick

c)

the number of times to multiply the base (factor)

d)

The number of days in a week

8.

Simplify.

$8^{-1}$

a)

8

b)

$-8$

c)

$\frac{1}{8}$

d)

$-\frac{1}{8}$

9.

Simplify.

$6^{-2}$

a)

$\frac{1}{36}$

b)

$-\frac{1}{36}$

c)

$\frac{1}{12}$

d)

$-\frac{1}{12}$

10.

Simplify.

$256^0$

a)

0

b)

256

c)

1

d)

$\frac{1}{256}$

11.

Simplify.

$5^4$

a)

625

b)

20

c)

9

d)

54

12.

Simplify.

$4^{-5}$

a)

$\frac{1}{1024}$

b)

$-\frac{1}{1024}$

c)

$\frac{1}{20}$

d)

$-\frac{1}{20}$

13.

Use the properties of exponents to write an equivalent expression.

$\left(-5\right)\cdot\left(-5\right)\cdot\left(-5\right)\ =\ ?$

a)

$3^5$

b)

$5^3$

c)

$\left(-3\right)^5$

d)

$\left(-5\right)^3$

14.

Simplify.

$-7^2$

a)

49

b)

$-49$

c)

$\frac{1}{49}$

d)

$\frac{1}{-49}$

15.

Write a general rule for the value of $a^0$ .

a)

If $a\ne0$ ,

then

$a^0=1$

b)

If $a\ne0$ ,

then

$a^0=0$

c)

If $a\ne0$ ,

then

$a^0=\frac{1}{a^0}$

16.

Write a general rule for the value of $a^{-n}$ .

a)

If $a\ne0$

and n is an integer,

then

$a^{-n}=1$

b)

If $a\ne0$

and n is an integer,

then

$a^{-n}=0$

c)

If $a\ne0$

and n is an integer,

then

$a^{-n}=\frac{1}{a^n}$

17.

Write the following expression in radical form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

18.

Write the following expression in exponential form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

19.

Write the expression in radical form: $x^{\frac{3}{4}}$

a)

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

b)

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

c)

$x^{.75}$

d)

$\sqrt[]{x^2}$

20.

Simplify:

a)

6

b)

12

c)

36

d)

432

21.

Rewrite as a rational exponent:

$\sqrt[7]{x^{23}}$

a)

$x^{\frac{23}{7}}$

b)

$x^{\frac{7}{23}}$

c)

$x^{16}$

d)

$x^{161}$

22.

Simplify:

a)

2

b)

4

c)

8

d)

16

23.

Simplify the following expression:

a)

5

b)

25

c)

125

d)

625

24.

Simplify . Your answer should contain only positive exponents. $\left(x^{\frac{5}{3}}y^{-2}\right)^0$

a)

$1$

b)

$\frac{x^{\frac{5}{3}}}{y^2}$

c)

$x^{\frac{5}{3}}y^2$

d)

$\frac{y^2}{x^{\frac{5}{3}}}$

25.

Simplify . Your answer should contain only positive exponents. $\left(x^0y^{\frac{1}{3}}\right)^{\frac{3}{2}}x^0$

a)

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

b)

$1$

c)

$y^{\frac{4}{3}}$

d)

$0$

26.

Change from standard form to scientific notation: 12,000,000

a)

12.0 x 10⁷

b)

0.12 x 10⁷

c)

1.2 x 10⁶

d)

1.2 x 10⁷

27.

Change from standard form to scientific notation: 0.000398

a)

39.8 x 10^-5

b)

3.98 x 10^-5

c)

3.98 x 10^-4

d)

39.8 x 10^-6

28.

How many numbers can be in front of the decimal if the number is in correct scientific notation?

a)

Only a Zero

b)

One

c)

Two

d)

Any amount

29.

Which of the following is correct scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

30.

Try to change the number back to standard form: 3.97 x 10^-2

a)

0.000397

b)

0.0397

c)

0.0000397

d)

0.397

31.

(2 x 10^-5)+ (7 x 10^-5)

a)

9 x 10^-10

b)

14 x 10^-5

c)

9 x 10^-5

d)

1.4 x 10^-4

32.

(8 x 10⁴) - (2 x 10⁴)

a)

16 x 10¹⁶

b)

16 x 10⁸

c)

6 x 10⁸

d)

6 x 10⁴

33.

Subtract withing scientific notation
(7.32 x 10⁶) - (4.01 x 10⁸)

a)

-3.937 x 10⁸

b)

3.937 x 10⁸

c)

3.937 x 10⁷

d)

3.937 x ⁻²

34.

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

35.

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

36.

(9.6×10^-8)÷(2×10^-15)

a)

-4.8×10⁷

b)

4.8×10⁷

c)

4.8×10^-7

d)

-4.8×10^-7

37.

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

38.

5 x 10¹²
------------
2 x 10⁶

a)

2.5 x 10²

b)

2.5 x 10⁶

c)

3 x 10²

d)

2.5 x 10¹⁸

39.

The population of Mathville is 5.6 x 10³. The population of Algeville is 1.3 x 10⁴. How many more people are there in Algeville?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

40.

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

41.

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

42.

The density of oxygen is 0.001429 grams per cubic centimeter. How is this number written in scientific notation?

a)

$1.429\ \times\ 10^{-3}$

b)

$1.429\ \times\ 10^3$

c)

$4.5\ \times\ 10^5$

d)

$14.29\ \times\ 10^{-4}$

43.

Which of the following numbers is the least?

a)

7 x 10⁸

b)

7.1 x 10⁸

c)

7 x 10⁹

d)

7.1 x 10⁹

44.

Which number is the greatest?

a)

5.25 x 10⁵

b)

2.55 x 10⁵

c)

5.55 x 10⁵

d)

5 x 10⁵

45.

The diameter of the planet Mercury is 4.87 x 10³ km. The diameter of the planet Venus is 1.21 x 10⁴ km. The diameter of the planet Mars is 1.28 x 10³ km. Which planet has the smallest diameter?

a)

Mercury

b)

Mars

c)

Venus

46.

Order the following from greatest to least:
5 x 10³
3.2 x 10⁸ 1.2 x 10⁸ 7 x 10⁵

a)

7 x 10⁵ , 5 x 10³ ,
3.2 x 10⁸, 1.2 x 10⁸

b)

3.2 x 10⁸, 1.2 x 10⁸, 7 x 10⁵, 5 x 10³

c)

1.2 x 10⁸, 3.2 x 10⁸,
5 x 10³ , 7 x 10⁵

47.

The table shows the mass in grams of one atom of each of several elements. List the elements in order from the least mass to greatest mass per atom.

a)

hydrogen, carbon, oxygen, silver, gold

b)

hydrogen, oxygen, gold, siver, carbon

c)

carbon, oxygen, silver, gold, hydrogen

d)

gold, oxygen, carbon, silver, hydrogen

48.

4.81 x 10^-3> 4.8 x 10^-3

a)

True

b)

False

49.

4.7001 x 10^-3 $\ne$ 4.7 x 10^-3

a)

True

b)

False

50.

When you are skeptical of scientific issues in the media, what are you doing?

a)

accepting the information as truthful

b)

dismissing the information as false

c)

using critical thinking to question information presented

d)

using your bias to form opinions

PRELIM 4 MST

Total questions: 50

Worksheet time: 1hrs 15mins

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