Free Printable Frmathg8t32023

1.

a)

3x³+8x

b)

x³+3x²+8x

c)

2x²+8x

d)

x³-3x³+8x²

2.

a)

3y⁴+3y³+7y²+4y

b)

3y⁴+3y³+7y²+4y+6

c)

3y⁴+3y³+7y²+6

d)

3y⁴+3y³+7y²+4y-6

3.

a)

3n²+4n

b)

-3n²+4n

c)

3n²+20n

d)

3n²-4n

4.

a)

23x^5_11x

b)

-5x⁵-x

c)

23x⁵+11x

d)

5x⁵+x

5.

a)

2x²-13x-7

b)

2x²+13x+7

c)

-2x²-13x-7

d)

-2x²+13x-7

6.

a)

6x²-8x+4

b)

4x²-16x+4

c)

6x²-16x-4

d)

4x²-8x+4

7.

a)

-10x²-9

b)

10x²-9

c)

-5x²-2x-6

d)

-5x²-4x-9

8.

a)

x²+17x

b)

5x²+7x

c)

-5x²+17x

d)

5x²+17x

9.

Add or Subtract to Simplify:
(x + 2x²) + (4x² + 7x)

a)

6x² + 8x

b)

8x² + 6x

c)

2x² + 6x

d)

2x² + 8x

10.

(2x + 5y - z) + (-6x - 4y + 7z)

a)

-4x² +6y² + 6z²

b)

4x + y + 6z

c)

-4x² - y² + 6z²

d)

-4x + y + 6z

11.

Simplify each expression.
(6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)

a)

11x⁴ + 2x² + 14x

b)

16x⁴ + x² + 14x

c)

11x⁴ + x² + 14x

d)

11x⁴ + 2x² + 10x

12.

Add or Subtract to Simplify:
(5x + x² - 4) - (4x - x² + 6)

a)

2x² + x + 2

b)

x + 2

c)

2x² + x - 10

d)

x - 10

13.

Factor by using the GCF:

x² - 14x

a)

x(x - 14x)

b)

2x(x - 7)

c)

x²(x - 14)

d)

x(x - 14)

14.

Factor using the GCF : -21x+35

a)

-7(3x - 5)

b)

7(-21x²+ 35)

c)

28(-3x²+ 5x)

d)

7(3x - 5)

15.

Find the product:
(x + 5)(x - 4)

a)

x² + 9x + 20

b)

x² + 9x - 20

c)

x² + 1x - 20

d)

x² - 1x - 20

16.

Find the product:
(3x – 1)(x + 5)

a)

3x² + 4x + 5

b)

3x² + 4x - 5

c)

3x² + 14x + 5

d)

3x² + 14x - 5

17.

Simplify:
(x-7)²

a)

x²-49

b)

x²+49

c)

x²-14x+49

d)

x²-14x-49

18.

(x+2)(x−2)

a)

x²−4x−4

b)

x²+4

c)

x²−4

d)

x²+4x−4

19.

Find the GCF: 6m² - 16m

a)

2

b)

2m

c)

2m²

d)

m

20.

What is the GCF? 5x²+20x

a)

5

b)

x

c)

5x

d)

20x

21.

(x + 2)(x - 3)

a)

$x^2+x-6$

b)

$x^2-x-6$

c)

$x^2-5x-6$

d)

$x^2+5x-1$

22.

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

a)

$x^2+8x+8$

b)

$x^2-16$

c)

$x^2+16$

d)

$x^2+8x+16$

23.

(2x - 1)(x + 2)

a)

$2x^2+3x-2$

b)

$2x^2+4x-2$

c)

$2x^2+5x-2$

d)

$2x^2+3x+1$

24.

(x - 5)(3x + 1)

a)

$4x^2-14x-5$

b)

$3x^2+2x-5$

c)

$3x^2-14x-5$

d)

$4x^2+2x-5$

25.

(2x - 3)(2x + 3)

a)

$4x^2+3x-9$

b)

$4x^2-9$

c)

$4x^2-3x-9$

d)

$4x^2+9$

26.

Simplify by multiplying

g x 7 x g

a)

7g²

b)

7gg

27.

Simplify by multiplying

5a x 3b

a)

35ab

b)

15b

c)

15a

d)

15ab

28.

Simplify by multiplying

2d x 3d x 4

a)

12d

b)

24d

c)

12d²

d)

24d²

29.

Simplify by multiplying

(2ab)²

a)

4a²b²

b)

4a²b

c)

ab²

d)

24w³

30.

Simplify by multiplying

m x n x 11

a)

mn

b)

nm

c)

11n

d)

11mn

31.

Simplify by multiplying

a x a x a x a x a x a

a)

a⁶

b)

6a

c)

p³

d)

6a⁶

32.

Simplify:
(x-7)²

a)

x²-49

b)

x²+49

c)

x²-14x+49

d)

x²-14x-49

33.

Find the product:
(x + 12)(x - 12)

a)

x² - 144

b)

x² + 144

c)

x² + 12x - 144

d)

x² - 12x + 144

34.

Simplify
(x+4)²

a)

x²+16

b)

x²-16

c)

x²+ 8x + 16

d)

x²+ 4x - 16

35.

Find the product:
(n - 5)(n - 1)

a)

n² - 5n + 5

b)

n² - 6n + 5

c)

n²+ 5

d)

n² + 6n + 5

36.

Find the product:
(3x + 2)(2x + 4)

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

5x² + 16x + 6

d)

6x² + 11x + 8

37.

Find the product:
(3x – 1)(x + 5)

a)

3x² + 4x + 5

b)

3x² + 4x - 5

c)

3x² + 14x + 5

d)

3x² + 14x - 5

38.

Find the 2 factors of $6x^2+x-1$

a)

(3x+2)

b)

(2x-1)

c)

(6x-1)

d)

(x+1

39.

Find the 2 factors of 2x²+8x+8

a)

(x+8)

b)

(2x+4)

c)

(2x+2)

d)

(x+2)

40.

$x^2-7x-18=0$

a)

(x+9)(x-2)

b)

(x-9)(x-2)

c)

(x+9)(x+2)

d)

(x-9)(x+2)

41.

$x^2-5x-14$

a)

(x-7)(x+2)

b)

(x+7)(x-2)

c)

(x+7)(x+2)

d)

(x-7)(x-2)

42.

$7x^2+9x$

a)

7x(9x)

b)

7x(x+9)

c)

x(7x+9)

d)

7(x+9)

43.

$5x^2-x-18=0$

a)

(5x-9)(x+2)

b)

(5x+9)(x-2)

c)

(5x-2)(x+9)

d)

(5x+2)(x-9)

44.

$x^2+8-20=0$

a)

(x+10)(x+2)

b)

(x-10)(x-2)

c)

(x+10)(x-2)

d)

(x-10)(x+2)

45.

Factor:
x²- 400

a)

( x - 200) ( x + 200)

b)

( x + 20) ( x + 20)

c)

Prime

d)

( x - 20) ( x + 20)

46.

Factor:
25x²- 100y²

a)

( 5x - 10y) (5xy + 10y)

b)

( 5x - 10y)²

c)

Prime

d)

( 5x - 50y) (5x + 50y)

47.

Which of the following is NOT a perfect square trinomial?

a)

x² – 16x + 64

b)

x² – 10x + 20

c)

x² – 28x + 196

d)

x² – 24x + 144

48.

Which of the following is a perfect square trinomial?

a)

x² + 14x – 49

b)

x² + 20x + 100

c)

x² – 8x + 4

d)

x² – 5x + 6

49.

What is ALWAYS the first step when factoring?

a)

Look for the GCF

b)

Write a, b, and c

c)

Difference of squares

d)

Group

50.

Factor by grouping:
$x^3-4x^2-4x+16$

a)

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

b)

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

c)

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

d)

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

51.

Factor by grouping:

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

a)

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

b)

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

c)

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

d)

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

52.

What is the factored form of $5n^3-10n^2+3n-6$ ?

a)

$\left(5n^2+3\right)\left(n-2\right)$

b)

$\left(5n^2-3\right)\left(n-2\right)$

c)

$\left(5n^3+3\right)\left(n-2\right)$

d)

$10n\left(n^2-6\right)$

53.

Factor by grouping:
$x^3-5x^2+5x-25$

a)

$\left(x^2-5\right)\left(x-5\right)$

b)

$\left(x^2+5\right)\left(x-5\right)$

c)

$\left(x^2-5\right)\left(x+5\right)$

d)

$\left(x^2+5\right)\left(x+5\right)$

54.

Factor by grouping:
$20p^3-25p^2+4p-5$

a)

$\left(5p^2-1\right)\left(4p-5\right)$

b)

$\left(5p^2+1\right)\left(4p+5\right)$

c)

$\left(5p^2+1\right)\left(4p-5\right)$

d)

$\left(5p^2-1\right)\left(4p+5\right)$

55.

Find the missing side of the triangle.

a)

104

b)

75

c)

78

d)

68

56.

a)

51

b)

56

c)

66

d)

38

57.

Find the missing side of the triangle.

a)

96

b)

75

c)

87

d)

40

58.

Find the missing side of the triangle.

a)

39

b)

53

c)

33

d)

42

59.

Find the missing side of the triangle.

a)

65

b)

45

c)

86

d)

73

60.

Find the missing side of the triangle.

a)

106

b)

84

c)

78

d)

65

61.

Find the missing side of the triangle.

a)

70

b)

37

c)

90

d)

82

62.

Find the missing side of the triangle.

a)

50

b)

70

c)

52

d)

46

63.

Find the missing side of the triangle.

a)

13

b)

11

c)

18

d)

14

64.

Simplify 4√75

a)

4√5

b)

12√5

c)

20√3

d)

7√3

65.

5√80

a)

20√5

b)

-4√5

c)

5√20

d)

4√5

66.

Simplify:

√72

a)

√72

b)

2√2

c)

6√2

d)

4√18

67.

What is the simplified form of √140

a)

4√35

b)

10√14

c)

2√70

d)

2√35

68.

√24

a)

4√6

b)

2√6

c)

6√2

d)

2√12

69.

√28

a)

7√2

b)

7√4

c)

4√7

d)

2√7

70.

√45

a)

3√5

b)

5√3

c)

9√5

d)

5√9

71.

√96

a)

16√6

b)

2√6

c)

4√6

d)

√2

72.

Simplify √72

a)

8√3

b)

6√2

c)

3√8

d)

4√8

73.

$\sqrt{45x^4y^7}$

a)

$3x²y³\sqrt{5}$

b)

$9x²y³\sqrt{5y}$

c)

$3x²y³\sqrt{5y}$

d)

$3x⁴y⁷$

74.

Simplify the radical... $\sqrt{20a²b⁴}$

a)

$2ab²\sqrt{5}$

b)

$4ab²\sqrt{5}$

c)

$5ab²\sqrt{2}$

d)

$2a²b²\sqrt{5}$

75.

Add: $6\sqrt{24}-24\sqrt{6}$

a)

$-12\sqrt{6}$

b)

$-18\sqrt{18}$

c)

$18\sqrt{6}$

d)

$12\sqrt{6}$

76.

Divide: $\frac{5\sqrt{12}}{15\sqrt{3}}$

a)

$\frac{100}{15}$

b)

$\frac{\sqrt{9}}{3}$

c)

$\frac{2}{3}$

d)

$\frac{4}{3}$

77.

Multiply: $2\sqrt{3}\cdot4\sqrt{27}$

a)

$72$

b)

$8\sqrt{30}$

c)

$6\sqrt{81}$

d)

$84$

78.

$\sin30\degree=$

a)

$\frac{1}{2}$

b)

$\frac{\sqrt{2}}{2}$

c)

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

d)

$\sqrt{3}$

79.

$\cos60\degree=$

a)

$\frac{1}{2}$

b)

$\frac{\sqrt{2}}{2}$

c)

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

d)

$\sqrt{3}$

80.

Using $\theta$ as your reference angle, what is the tan ratio?

a)

12/5

b)

12/13

c)

5/13

d)

5/12

81.

What is the correct equation to solve for x?

a)

$\tan\left(45\right)=\frac{13}{x}$

b)

$\cos\left(45\right)=\frac{13}{x}$

c)

$\sin\left(45\right)=\frac{13}{x}$

d)

$\cos\left(45\right)=\frac{x}{13}$

82.

What is the length of side x to two decimal places?

a)

6.57 cm

b)

7 cm

c)

7.44 cm

d)

26.33 cm

Frmathg8t32023

Total questions: 82

Worksheet time: 3hrs 11mins

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