Free Printable Test 1 Prep

1.

Simplify the following: a³ x a⁵

a)

a⁵

b)

a¹⁵

c)

a⁸

d)

1

2.

Simplify the following: w⁰ x w⁰

a)

w¹

b)

1

c)

0

3.

Simplify: $\frac{a^5b^{10}}{a^3b^3}$

a)

$a^8b^{13}$

b)

$a^2b^7$

c)

$a^{15}b^{30}$

4.

(10³)⁶

a)

10¹⁸

b)

30⁶

c)

10⁹

d)

30³

5.

(4a)²=

a)

4a²

b)

16a²

c)

8a²

d)

8a

6.

$4x^3\times2x^4=$

a)

$8x^{12}$

b)

$8x^7$

c)

$6x^7$

d)

$6x^{12}$

7.

What is 4⁵in expanded form?

a)

4 x 5

b)

4 x 4 x 4 x 4 x 4

c)

1024

d)

5 x 5 x 5 x 5 x 5

8.

$Simplify\ \left(5x^4y^6\right)^3$

a)

$5x^{12}y^{18}$

b)

$125x^{12}y^{18}$

c)

$5x^7y^9$

d)

$125x^7y^9$

9.

$Simplify\ \ \ \left(\frac{x^4}{y^5}\right)^3$

a)

$\frac{x^7}{y^8}$

b)

$\frac{x^{12}}{y^{10}}$

c)

$\frac{x^{15}}{y^{12}}$

d)

$\frac{x^{12}}{y^{15}}$

10.

Finish the index law: $a^m\times a^n=$

a)

$a^{m+n}$

b)

$a^{m\times n}$

c)

$a^{m-n}$

11.

Finish the index law: $\frac{a^m}{a^{n\ }}=$

a)

$a^{m+n}$

b)

$a^{m\times n}$

c)

$a^{m-n}$

12.

Finish the index law: $\left(a^m\right)^n=$

a)

$a^{m+n}$

b)

$a^{m\times n}$

c)

$a^{m-n}$

13.

What is the base of the following: $8^6$

(a)

14.

What is the index of the following: $4^6$

(a)

15.

Simplify the following expression: $\frac{11^7}{11^4}=$

a)

$11^{-3}$

b)

$11^{11}$

c)

$11^3$

d)

$11^{28}$

16.

What is the index of the following: 5

(a)

17.

Simplify the following expression: $2^6\times2^8=$

a)

$2^2$

b)

$2^{-2}$

c)

$2^{14}$

d)

$2^{48}$

18.

$\left(3x^2y^{-1}\right)^3=$

a)

$\frac{3x^6}{y^3}$

b)

$\frac{27x^6}{y^{-3}}$

c)

$3x^6y^{-3}$

d)

$\frac{27x^6}{y^3}$

19.

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

20.

Change from standard form to scientific notation: 450,000

a)

4.5 x 10⁵

b)

45 x 10⁵

c)

4.5 x 10⁴

d)

4.5 x 10⁶

21.

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

22.

Change from standard form to scientific notation: 0.004078

a)

4.078 x 10^-3

b)

4.078 x 10³

c)

40.78 x 10^-4

d)

.4078 x 10^-2

23.

Which number is correctly written in scientific notation?

a)

5.67 x 10⁵

b)

56.7 x 10³

c)

0.567 x 10⁶

24.

Consider Scientific Notation...

5 Which is the correct coefficient of 147,000 when it is written in scientific notation

a)

147

b)

14.7

c)

1.47

d)

0.147

25.

Which number is correctly written in scientific notation?

a)

8.2 x 10²

b)

82 x 10⁷

c)

3.45 x 9⁴

26.

How would you write 0.0005 in scientific notation?

a)

50 x 10⁵

b)

5 x 10⁴

c)

5 x 10³

d)

.5 x 10³

27.

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

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

28.

The rule of scientific notation is to write all exponents with a base of ____.

a)

50

b)

5

c)

100

d)

10

29.

Which of the following in the LARGEST number?

a)

9 x 10⁶

b)

8 x 10¹⁰

c)

1.3 x 10¹²

d)

5.3 x 10³

30.

Which one of these is in scientific notation?

a)

8.987000

b)

8.98 x 10⁶

c)

80.987 x 10

d)

8.98⁶

31.

Write 9.8 x 10^-5in standard form

a)

0.00098

b)

0.000098

c)

.098

d)

98,000

32.

Write 0.000972 in scientific notation.

a)

9.72 x 10^-4

b)

9.72 x 10^-3

c)

972 x 10^-4

d)

9.72 x 10⁴

33.

Which is the correct coefficient of 23,400,000 when it is written in scientific notation?

a)

0.234

b)

2.34

c)

234.

d)

23.4

34.

125,678,000: Change to scientific notation

a)

1.25678 x 10¹²

b)

.125678 x 10^-9

c)

12.5678 x 10⁸

d)

1.25678 x 10⁸

35.

Try to change the number back to standard form: 6.79 x 10⁴

a)

679,000

b)

6,790

c)

67,900

d)

6,790,000

36.

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

37.

Write 2.08 x 10²in standard form.

a)

208

b)

0.0208

c)

20,800

d)

0.208

38.

How do you write
1001
in scientific notation?

a)

1.0001 x 10⁴

b)

1.01 x 10⁵

c)

1.001 x 10³

d)

10.1 x 10³

39.

Identify the degree of the monomial:
8a³

a)

8

b)

1

c)

3

d)

11

40.

A polynomial that has two terms is a:

a)

polynomial

b)

monomial

c)

binomial

41.

Classify the polynomial by its number of terms.
4x² - 2

a)

A
monomial

b)

B
binomial

c)

C
trinomial

d)

D
polynomial

42.

What is the term classification of the following polynomial?
x³-7x²+3

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

43.

What is the degree of the polynomial
x²-2x+5

a)

1

b)

2

c)

3

d)

0

44.

4x² + 8x - 7
is classified as a...

a)

Third Degree Monomial

b)

Second Degree Binomial

c)

Second Degree Trinomial

d)

Third Degree Cubic

45.

Identify the degree of:
2b⁸c²

a)

10

b)

8

c)

2

d)

16

46.

How many terms does this expression have:
-27a³ + 9a² - 45a

a)

what are terms?

b)

0 terms

c)

-45 terms

d)

3 terms

47.

A polynomial that has one term is a:

a)

polynomial

b)

monomial

c)

binomial

48.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

49.

A coefficient is __________.

a)

the variable

b)

a constant

c)

an exponent

d)

the number that comes before the variable

50.

How many terms does this expression have?
-18y + 7yz - 4z

a)

-18

b)

3

c)

7

d)

-4

51.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

52.

Simplify: 7t - 3t + t - 3t

a)

2t

b)

8t - 6t

c)

14t

d)

Can't be simplified

53.

Simplify: 4q + 4t + 3q + t

a)

12tq

b)

3q + 4t

c)

7q + 5t

d)

Can't be simplified

54.

Simplify: 10w + 3d + 3w + d

a)

13w + 4d

b)

17wd

c)

13w + 3d

d)

Can't be simplified

55.

Simplify: m + m + m + m

a)

4m

b)

m⁴

c)

m

d)

Can't be simplified

56.

A constant term has ______.

a)

no exponents

b)

no variables

c)

no numbers

d)

no letters

57.

A variable can be _______?

a)

Any number

b)

Any letter of the alphabet

c)

only X

d)

only 1

58.

Find the product:

$\left(3x\ +\ 2\right)\left(2x\ +\ 4\right)$

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

5x² + 16x + 6

d)

6x² + 11x + 8

59.

Find the product.

$\left(3x\ -\ 1\right)\left(x\ +\ 5\right)$

a)

3x² + 4x + 5

b)

3x² + 4x - 5

c)

3x² + 14x + 5

d)

3x² + 14x - 5

60.

Find the product: $\left(n\ -\ 5\right)\left(n\ -\ 1\right)$

a)

n² - 5n + 5

b)

n² - 6n + 5

c)

n²+ 5

d)

n² + 6n + 5

61.

Find the product.

$\left(p\ -\ 8\right)^2$

a)

p ² − 16p − 64

b)

p ² + 16p + 64

c)

p ² − 16p − 8

d)

p ² − 16p + 64

62.

Find the product:

$\left(2x-7\right)\left(x+2\right)$

a)

$2x^2-5x+4$

b)

$2x^2+3x+14$

c)

$2x^2-3x-14$

d)

$x^2+3x-14$

63.

What is the area of this rectangle?

a)

48

b)

$8x^2+14x+6$

c)

$8x^2+x+5$

d)

$2x^2+6x+8$

64.

Find the product:

$\left(x\ +\ 4\right)^2$

a)

x²+16

b)

x²-16

c)

x²+8x+16

d)

x²+8x-16

65.

Find the product:

$\left(7r\ -\ 6\right)\left(7r\ +\ 6\right)$

a)

49r²+ 36

b)

49r²- 36

c)

49r²+ 84r + 36

d)

49r²+ 42r + 36

66.

Find the product.

(5x + 2) (x²- 3x +6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

67.

Find the product:
$\left(8x-7\right)\left(2-6x+9x^2\right)$

a)

$9x^3+14x^2-7x+14$

b)

$72x^3-111x^2+58x-14$

c)

$x^3+2x^2-5x+2$

d)

$3x^3-2x^2+7x-9$

68.

Find the product:
$\left(4x^2+14x-6\right)\left(11-3x\right)$

a)

$x^3-14x^2-6x+1$

b)

$12x^3+86x^2+172x-6$

c)

$-x^3+14x^2+6x-6$

d)

$-12x^3+2x^2+172x-66$

69.

Find the product:
$\left(x+1\right)\left(x^2-4x-21\right)$

a)

$x^3-3x^2-25x-21$

b)

$x^3+3x^2+25x+21$

c)

$-x^3-3x^2-25x-21$

d)

$x^4-3x^3-25x^2-21x$

Test 1 Prep

Total questions: 69

Worksheet time: 2hrs 48mins

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