Free Printable EXTRA CREDIT Q1: ALG1

1.

√48

a)

4√2

b)

6√3

c)

4√3

d)

4√2

2.

Simplify the following radical: 2√24

a)

4√6

b)

2√6

c)

24√2

d)

4√4

3.

a)

7√3

b)

Can't Simplify

c)

6√15

d)

6√3

4.

a)

8√6

b)

8√12

c)

12√6

d)

12√12

5.

Simplify:
√6 ⋅√6

a)

√36

b)

2√3

c)

12

d)

6

6.

Simplify the following radical: √150

a)

5√15

b)

5√2

c)

5√6

d)

15√5

7.

Simplify 4√75

a)

4√5

b)

12√5

c)

20√3

d)

7√3

8.

Simplify:
6√2 ⋅5√14

a)

32√7

b)

60√7

c)

2√7

d)

30√7

9.

a)

11√5

b)

11√10

c)

5√5

d)

12√10

10.

a)

13√3

b)

10√30

c)

13√6

d)

11√3

11.

$\sqrt{3a^2}\times\sqrt{15a^2}$

a)

$3a^2\sqrt{5}$

b)

$5a^2\sqrt{3}$

c)

$3a\sqrt{5a}$

d)

$\sqrt{18a^4}$

12.

Simplify:

a)

4√30

b)

√4√30

c)

√2√30

d)

2√30

13.

$-3\sqrt{8}+3\sqrt{18}$

a)

$-3\sqrt{2}$

b)

$6\sqrt{2}$

c)

$15\sqrt{2}$

d)

$3\sqrt{2}$

14.

$5\sqrt{3}+\sqrt{12}$

a)

$7\sqrt{3}$

b)

$9\sqrt{3}$

c)

$5\sqrt{15}$

d)

$6\sqrt{3}$

15.

$10\sqrt{6}+2\sqrt{6}$

a)

$8\sqrt{6}$

b)

$8\sqrt{12}$

c)

$12\sqrt{6}$

d)

$12\sqrt{12}$

16.

$\sqrt{8}-6\sqrt{2}$

a)

$-4\sqrt{2}$

b)

$2\sqrt{2}$

c)

$-6\sqrt{6}$

d)

$-6\sqrt{10}$

17.

$2\sqrt{3}\left(\sqrt{6}-\sqrt{3}\right)$

a)

$6\sqrt{2}-6$

b)

$3\sqrt{2}+3$

c)

$6-\sqrt{3}$

d)

$\sqrt{3}-\sqrt{2}$

18.

$2\sqrt{5}-\sqrt{5}+4\sqrt{5}+\sqrt{3}$

a)

$6\sqrt{5}+\sqrt{3}$

b)

$5\sqrt{5}+\sqrt{3}$

c)

$6\sqrt{5}$

d)

$6\sqrt{3}$

19.

$2\sqrt{3}\left(\sqrt{27}-8\sqrt{6}\right)$

a)

b)

c)

d)

20.

$\sqrt{20}-2\sqrt{5}$

a)

$0$

b)

$2\sqrt{5}$

c)

$\sqrt{15}$

d)

$-2\sqrt{15}$

21.

$-\sqrt{2}+\sqrt{8}-3\sqrt{20}$

a)

$3\sqrt{2}-6\sqrt{5}$

b)

$-5\sqrt{3}$

c)

$\sqrt{2}-6\sqrt{5}$

d)

$\sqrt{4}-6\sqrt{5}$

22.

$\sqrt{243}$

a)

$3\sqrt{3}$

b)

$9\sqrt{3}$

c)

$81\sqrt{3}$

d)

$3\sqrt{81}$

23.

$\sqrt{96}$

a)

$16\sqrt{6}$

b)

$2\sqrt{6}$

c)

$4\sqrt{6}$

d)

$\sqrt{2}$

24.

$\sqrt{216}$

a)

$6\sqrt{4}$

b)

$4\sqrt{6}$

c)

$36\sqrt{6}$

d)

$6\sqrt{6}$

25.

$\sqrt{40}$

a)

$4\sqrt{10}$

b)

$10\sqrt{4}$

c)

$2\sqrt{10}$

d)

$10\sqrt{2}$

26.

$\sqrt{63}$

a)

$9\sqrt{7}$

b)

$6\sqrt{2}$

c)

$7\sqrt{6}$

d)

$3\sqrt{7}$

27.

Simplify the radical - 6√90

a)

10√8

b)

10√18

c)

18√10

d)

18√9

28.

Simplify 4√75

a)

4√5

b)

12√5

c)

20√3

d)

7√3

29.

-4√100

a)

-400

b)

-40

c)

-400√100

d)

-40√100

30.

√1 =

a)

1

b)

2

c)

0

d)

1/2

31.

(x + 7)(x + 9)

a)

x² + 63x + 16

b)

x² + 16x + 63

c)

x² + 79

d)

x² + 16x + 2

32.

(x + 5)(x + 4)

a)

x² + x + 20

b)

x² + 20x + 9

c)

x² + 9x + 20

d)

x² - 9x + 54

33.

(x - 4)(x - 6)

a)

x² -10x + 24

b)

x² - 10x - 24

c)

x² +10x + 24

d)

x² + 10x - 24

34.

(x + 12)(x - 12)

a)

x² - 144

b)

x² + 144

c)

x² + 12x - 144

d)

x² - 12x + 144

35.

(x - 7)(x + 7)

a)

x² + 7x - 49

b)

x² - 7x + 49

c)

x² - 49

d)

x² + 49

36.

Find the product:
(3x – 1)(x + 5)

a)

3x² + 4x + 5

b)

3x² + 4x - 5

c)

3x² + 14x + 5

d)

3x² + 14x - 5

37.

(x + 5)²
Hint: try (x + 5)(x + 5)

a)

x² + 25

b)

x² + 10x + 25

c)

x² + 10 x + 10

d)

x² + 10

38.

Find the Product.
(2n + 3)(2n + 1)

a)

4n² + 8n + 3

b)

4n² - 8n - 3

c)

4n² + 8n + 3

d)

4n² - 8n + 3

39.

Multiply the following together:

(2x + 3)(x² + 4x + 1)

a)

2x³ + 8x²+2x

b)

3x² + 12x +3

c)

2x³ +11x² +14x +3

d)

2x³ + 12x +3

40.

(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

41.

What type of polynomials is this: 3x⁴ + 2x² + 5x ?

a)

monomial

b)

binomial

c)

trinomial

42.

What is the degree of this trinomial: 3x⁴ + 2x² + 5x ?

a)

1

b)

2

c)

3

d)

4

43.

Add to Simplify:

(4x - 2x³) + (5x³ - 4x + 5)

a)

3x³ + 5

b)

3x³ + 8x + 5

c)

3x² + 5

d)

7x³ + 8x + 5

44.

Add to simplify the expression.

(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

a)

11a³ - 4a² - 14a - 7

b)

5a³ - 4a² - 14a - 7

c)

5a³ - 4a² - 20a - 7

d)

5a³ - 9a² - 20a - 7

45.

Subtract to Simplify:

(x⁵ + x³) - (6x - x³ + 6x⁵)

a)

-5x⁵ + 2x³ - 6x

b)

7x⁵ - 6x

c)

-5x³ + 2x² - 6x

d)

-5x⁵ - 6x

46.

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

47.

Multiply the following together:

(3x - 2)(6x + 1)

a)

18x² - 2

b)

9x² -9x -2

c)

18x² -9x -2

d)

3x² -12x

48.

Classify by number of terms:
3x³ – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

49.

How many terms are in this polynomial?

2x³- 8x²+ 3x - 7

a)

7

b)

1

c)

4

d)

2

50.

What is the degree of this polynomial?

2x⁴- 3x⁵+ x

a)

-3

b)

2

c)

4

d)

5

51.

What is the constant of this polynomial?

2x³- 8x²+ 3x - 7

a)

2

b)

-8

c)

3

d)

-7

52.

What is the coefficient of this term?

9x³

a)

None

b)

9

c)

3

d)

x

53.

Classify by number of terms:

5x² – 6x + 3

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

54.

Simplify the Expression:

3x + 6 - 2x +7

a)

14

b)

14x

c)

x + 13

d)

x - 13

55.

What is the the DEGREE:

4x³ - 5x² + 2x - 1

a)

1

b)

2

c)

3

d)

4

56.

Classify:
2n³

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

57.

What are like terms?
Terms that have....

a)

the same variables

b)

the same exponents

c)

the same coefficients

d)

the same variables and exponents

58.

The number in front of the variable is called the....

a)

exponent

b)

base

c)

coefficient

d)

fronter

59.

Which pair is an example of like terms?

a)

2a and 2b

b)

x and x²

c)

3k and 3k³

d)

y² and 2y²

60.

Simplify this polynomial:

n - 10 + 9n - 3

a)

-3

b)

9n - 3

c)

n

d)

10n - 13

61.

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

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

62.

Simplify by combining like terms:
4x² - 3x + 11 -2x

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

63.

Simplify this polynomial:

3x²- x + 2 - 5x²+ 8x - 5

a)

8x²+ 9x + 7

b)

-2x²+ 7x - 3

c)

2x²+ 7x - 3

d)

5x²- 3

64.

Simplify by combining like terms:
4x² - 3x + 11 -2x

a)

4x² - 5x + 11

b)

11x + 11

c)

16x² - 5x + 11

d)

10x²

65.

LOOK AT THE PICTURE

WHAT IS THE NUMBER?

a)

20

b)

15

c)

10

d)

5

66.

LOOK AT THE PICTURE

WHAT IS THE NUMBER

a)

11

b)

10

c)

20

d)

14

67.

How many months have 28 days?

a)

All

b)

Febuary

c)

March

d)

August

68.

What occurs once in a minute, twice in a moment and never in one thousand years?

a)

The letter M

b)

The letter P

c)

The letter T

d)

The letter P

69.

What gets wet while it dries?

a)

Towel

b)

Pool

c)

Broom

d)

Shirt

70.

How many letters are in alphabet?

a)

20

b)

26

c)

8

d)

14

71.

Take a look at the figure. How triangles can you find?

a)

20

b)

25

c)

30

d)

35

72.

What 3 positive numbers give the same result when multiplied and added together?

a)

1, 3, and 4

b)

1, 2, and 3

c)

4, 5, and 6

d)

4,6, and 7

73.

What are the three primary colors?

a)

^{red, blue, green}

b)

_{red, yellow, blue}

c)

_{blue, green, purple}

d)

_{yellow, blue, green}

74.

Who is the author of the famous Harry Potter books?

a)

J.K. Rowling

b)

J.R.R. Tolkien

c)

E.B. White

d)

Roald Dahl

75.

How many states are there?

a)

50

b)

51

c)

49

d)

52

76.

What is the name of animals that eat only plants?

a)

omnivore

b)

herbivore

c)

carnivore

77.

Name Batman’s crime fighting partner

a)

Robin

b)

Bat Mobile

c)

Bruce Wayne

d)

Spider Man

78.

What is the site of the Christmas heist by the Grinch?

a)

Whatville

b)

Whoville

79.

What is the largest state in the United States?

a)

Texas

b)

Washington

c)

California

d)

Alaska

80.

What is the world's longest river?

a)

Nile

b)

Mississippi

c)

Amazon

d)

Zaire

81.

How many days are there in a year?

a)

236

b)

548

c)

344

d)

365

82.

What shape has 5 sides?

a)

Pentagon

b)

Hexagon

c)

Triangle

d)

Circle

83.

At what temperature does water freeze? (In fahrenheit)

a)

32 degrees

b)

-20 degrees

c)

100 degrees

d)

-100 degrees

EXTRA CREDIT Q1: ALG1

Total questions: 83

Worksheet time: 3hrs 0mins

Similar Resources on Wayground