Free Printable 2nd Nine Weeks Assessment 2023

1.

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

a)

-4x +6y + 6z

b)

4x + y + 6z

c)

-4x - y + 6z

d)

-4x + y + 6z

2.

(4x³-5x²+3x)+(-2x³-x²+6x)

a)

2x³-6x²-9x

b)

2x³+6x²+9x

c)

-2x³-6x²+9x

d)

2x³-6x²+9x

3.

A rectangle has width (2x + 3) and length (2x - 4). What is the perimeter of the rectangle?

a)

4x- 12

b)

4x- 1

c)

8x- 2

d)

4x²- 2x - 12

4.

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

5.

Combine like terms to simplify:
(5x + 2) + (4x + 5)

a)

9x -7

b)

-9x-11

c)

9x+7

d)

x+7

6.

Add the polynomials (x-2) and (x²+3)

a)

x²+x+1

b)

x³+5

c)

x³+1

d)

x³-1

7.

Add or Subtract to Simplify:
(4x - 2x³) + (5x³ - 4x + 5)

a)

3x³ + 5

b)

3x³ + 8x + 5

c)

3x² + 5

d)

7x³ + 8x + 5

8.

(4a + 6ab - b) + (-2a - ab + 3b)

a)

2a + 7ab + 2b

b)

6a + 5ab - 2b

c)

6a + 7ab + 4b

d)

2a + 5ab + 2b

9.

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

10.

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

11.

Classify

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

12.

Classify by the DEGREE:
3x - 2

a)

1

b)

2

c)

3

d)

4

13.

Classify by the DEGREE:
2x² - 5

a)

1

b)

2

c)

3

d)

4

14.

a)

A

b)

B

c)

C

d)

D

15.

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

a)

-4x +6y + 6z

b)

4x + y + 6z

c)

-4x - y + 6z

d)

-4x + y + 6z

e)

None of these

16.

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

17.

(3x²+xy-5y²) + (2x²-xy+3y²)

a)

5x²-2xy+8y²

b)

5x²-2y²

c)

5x²+2y²

d)

5x²+2xy-8y²

e)

None of these

18.

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

a)

-4x² +6y² + 6z²

b)

4x + y + 6z

c)

-4x² - y² + 6z²

d)

-4x + y + 6z

e)

None of these

19.

Find the sum.

(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

e)

None of these

20.

Add the polynomials.

(2xy - 3x² + 4y - 5) + (-3xy + 4y² - 3y + 8)

a)

-1xy - 3x² + 4y² + 1y + 3

b)

-1xy + 1x² + 1y + 3

c)

-1xy + 1y² + 1y + 3

d)

1xy + 3x² + 4y² + 1y + 3

e)

None of these

21.

Simplify: 2x² + 3y - 2x + 5y + 2x

a)

2x² + 8y

b)

2x + 8y

c)

2x + 5y

d)

2x² + 4x + 8y

22.

Simplify the following monomial: $16x^2y-4xy^2-5x^2y+10xy^2$

a)

$6xy^2+21x^2y$

b)

$11x^2y\ +6xy^2$

c)

$6x^2y+11xy^2$

23.

Simplify the following expression
3x + 2y + 5 - 2x + 3y

a)

5x + 5y

b)

5x + 5y + 5

c)

x + 5y + 5

d)

3x + 2y

24.

Combine like terms

$4-2r^5-7r^5+8$

a)

$-9r^5+12$

b)

$-9r^{10}+12$

c)

$-5r^5+12$

d)

$-9r^5-12$

25.

Combine like terms $7p^2-5p^3+6p^3+4p^4-9p^2$

a)

$4p^4+p^3-2p^2$

b)

$4p^4+p^6-2p^4$

c)

$4p^4+p^3+2p^2$

d)

$3p^{14}$

26.

Simplify the following expression: 2c³ + 8c³

a)

10c⁶

b)

10c⁹

c)

10c³

d)

10 + c³

27.

Simplify the following monomial: $-5a^2b^{2\ }-\ a^2b^2$

a)

$-6a^2b^2$

b)

$-4a^2b^2$

c)

$6a^2b^2$

d)

$6a^2b^2$

28.

2x² + 3y - 2x + 5y + 2x

a)

2x² + 8y

b)

2x + 8y

c)

2x + 5y

d)

2x² + 4x + 8y

29.

10m²n + 7mn² - m²n

a)

9m²n + 7mn²

b)

16m²n

c)

17m²n - mn²

d)

No change

30.

Simplify the following monomial: $16x^2y-4xy^2-5x^2y+10xy^2$

a)

$6xy^2+21x^2y$

b)

$11x^2y\ +6xy^2$

c)

$6x^2y+11xy^2$

31.

Find the sum of 16y² and -5y².

a)

-11y²

b)

21y²

c)

11y²

d)

16y² - 5y²

32.

Subtract 9a from -15a.

a)

-6a

b)

-24a

c)

24a

d)

6a

33.

From $-9xy^2$ subtract $6xy^2$

a)

$-3xy^2$

b)

$3xy^2$

c)

$-15xy^2$

d)

$15xy^2$

34.

Which of the following are examples of like terms?

a)

2 and 2x

b)

y³and x³

c)

y and x

d)

-3x and 3x

35.

Add the polynomials (x-2) and (x²+3)

a)

x²+x+1

b)

x³+5

c)

x³+1

d)

x³-1

36.

What is the standard form of the polynomial,
7x - 125 - 6x⁴ + 14x²

a)

125 + 7x - 14x² +6x⁴

b)

6x⁴ -14x² - 7x +125

c)

125 + 14x² + 7x - 6x⁴

d)

-6x⁴+ 14x² + 7x - 125

37.

What is the standard form of the polynomial,
9x² + 5x + 27 + 2x³

a)

27 + 5x + 9x² + 2x³

b)

9x² + 5x + 2x³ + 27

c)

9x² + 5x + 27 + 2x³

d)

2x³ + 9x² + 5x + 27

38.

(x³-x²+4) - (3x³-2x²+3) =

a)

-2x³-3x²+7

b)

-2x³+x²+1

c)

2x³-3x³-1

d)

4x³-3x²+7

39.

Simplify each expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

40.

Simplify:

(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

a)

4b⁴ - 2b³ + 7

b)

5b⁴ - 2b³ + 4

c)

b⁴ - 2b³ + 7

d)

5b⁴ - 2b³ + 7

41.

Subtract the polynomials.

(2x + 5y) - (3x - 2y)

a)

-x + 3y

b)

-x + 7y

c)

5x + 7y

d)

7xy + 1xy

42.

(5x + x² - 4) - (4x - x² + 6) =

a)

2x² + x + 2

b)

x + 2

c)

2x² + x - 10

d)

x - 10

43.

Simplify the expression.

(4a³ - 8a - 4a²) - (7a³ - 7 - 6a)

a)

-3a³ - 4a² - 2a + 7

b)

11a³ - 4a² - 14a - 7

c)

3a³ - 4a² - 20a - 7

d)

-11a³ - 4a² +2a - 7

44.

Which are examples of like terms?

a)

$2x^2\ and\ 5x$

b)

$7x^2\ and\ 6x^3$

c)

$-y\ and\ 10y$

d)

$5y^2\ and\ -2x^2$

45.

$\left(x^2+4x\right)+\left(9x^2-7x\right)$

a)

$10x^4-3x^2$

b)

$9x^2-3x$

c)

$8x^2+11x$

d)

$10x^2-3x$

46.

$\left(7x^2-2x+11\right)+\left(-2x^2-5x-1\right)$

a)

$9x^2-7x+10$

b)

$5x^2-3x+12$

c)

$5x^2-7x+10$

d)

$9x^2-7x+12$

47.

$\left(7x^2-2x+11\right)+\left(-2x^2-5x-1\right)$

a)

$9x^2-7x+10$

b)

$5x^2-3x+12$

c)

$5x^2-7x+10$

d)

$9x^2-7x+12$

48.

$\left(7x^2-2x+11\right)+\left(-2x^2-5x-1\right)$

a)

$9x^2-7x+10$

b)

$5x^2-3x+12$

c)

$5x^2-7x+10$

d)

$9x^2-7x+12$

49.

$\left(5xy+2x-4\right)+\left(-xy+7\right)$

a)

$4xy+2x+3$

b)

$6xy+3$

c)

$4xy+3$

d)

$5xy+2x+11$

50.

$\left(-x^2+7x-4\right)-\left(6x^2-x+10\right)$

a)

$5x^2+6x+6$

b)

$-7x^2+8x+6$

c)

$5x^2+6x-14$

d)

$-7x^2+8x-14$

51.

$\left(2x+8\right)-\left(5x-1\right)$

a)

$-3x+7$

b)

$7x+9$

c)

$-3x+9$

d)

$7x^2+9$

52.

$\left(10x^2-2x+1\right)-\left(4x^2-2x-5\right)$

a)

$14x^2+6$

b)

$6x^2+6$

c)

$6x^2-4x+6$

d)

$6x^2-4x-4$

53.

2) Degree of

2x^2+50

is _____

a)

50

b)

2

c)

4

d)

1

54.

Classify:
2n³

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

55.

Classify:
x³ + 3x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

56.

Classify:
6x³+3x²+2x−4

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

57.

Name the expression.

a)

monomial

b)

binomial

c)

trinomial

58.

The largest exponent determines the degree of the polynomial.

a)

True

b)

False

59.

(x+2)(x+3)

a)

$x^2+5x+6$

b)

$x^2+3x+2x+6$

c)

5x

60.

(x-4)(x+1)

a)

$x^2-4x+5$

b)

$x^2-4x+1x-4$

c)

$x^2-3x-4$

61.

(x-6)(x-2)

a)

$x^2-6x-8$

b)

$x^2-8x+12$

c)

$x^2-6x-2x+12$

62.

(p-4)(p+2)

a)

$p^2-2p-8$

b)

$p^2-4+2$

c)

$p^2-4p-2p$

63.

(y+5)(y+2)

a)

$y^2+7+9$

b)

$y^2+5x+2$

c)

$y^2+7y+10$

64.

(3n-4)(3n-4)

a)

$9n^2-24n+16$

b)

$3n^2-4x+8$

c)

$n^2-24n+16$

65.

(3n-4)(3n-4)

a)

$9n^2-24n+16$

b)

$3n^2-4x+8$

c)

$n^2-24n+16$

66.

(8m-2)(8m+2)

a)

$63m^2+2$

b)

$64m^2-4$

c)

$8m^2-2$

67.

(k+4)(5k-1)

a)

$5k^2+4k-4$

b)

$5k^2+19k-4$

c)

$k^2+4k-1$

68.

(x+7)(x+4)

a)

$x^2+4x+7$

b)

$x^2+11x+28$

c)

$7x^2+4+11$

69.

Find the product.

(x - 2)²

a)

x²+ 2x + 2x + 4

b)

x²+ 2x + 2

c)

7x²+ x + 7

d)

x² - 4x + 4

70.

(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

71.

(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

72.

Find the area of a rectangle with length (x - 5) and width (3x + 1).

a)

3x²+16x-5

b)

3x²-14x+5

c)

3x²-14x-5

73.

5xy(6x-y)

a)

11x² - y²

b)

30x² + y²

c)

30x²y - 5xy²

d)

11x²y + 5x²y²

74.

(3x − 6)(7x + 7)

a)

21x² − 63x + 42

b)

21x² − 21x − 42

c)

21x² − 42

d)

21x² + 63x + 42

75.

(5x-1)(x+1)

a)

5x²+ 4x - 1

b)

5x²+6x - 1

c)

5x²- 4x -1

d)

5x² + 4x + 1

76.

Choose the correct answer below.

a)

$A=3x^2+9x-5$

b)

$A=5x^2-x+7$

c)

$A=3x^2-x+7$

d)

$A=5x^2+9x-5$

77.

(e - 3)(e +10)

a)

e² - 7e + 13

b)

e² - 6e - 30

c)

e² + 7e - 30

d)

e² + 13e + 30

78.

(e + 5)(e + 4)

a)

e² + e + 20

b)

e² + 20e + 9

c)

e² + 9e + 20

d)

e² - 9e + 54

79.

(e +2)(e + 3)

a)

e² + 5e + 6

b)

e² + e + 6

c)

e² + 5e + 5

d)

e² + 6e + 6

80.

(e - 1)(e - 8)

a)

e² + 9e + 8

b)

e²+ 9e - 8

c)

e² - 9e - 8

d)

e² - 9e + 8

81.

(e + 12)(e - 12)

a)

e² - 144

b)

e² + 144

c)

e² + 12e - 144

d)

e² - 12e + 144

82.

(e - 7)(e + 7)

a)

e² + 7e - 49

b)

e² - 7e + 49

c)

e² - 49

d)

e² + 49

83.

Find the product: (3e – 1)(e + 5)

a)

3e² + 4e + 5

b)

3e² + 4e - 5

c)

3e² + 14e + 5

d)

3e² + 14e - 5

84.

Simplify: (e - 7)²

a)

e²-49

b)

e²+49

c)

e²-14e+49

d)

e²-14e-49

85.

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

a)

6e² + 16e + 8

b)

5e² +11e + 6

c)

5e² + 16e + 6

d)

6e² + 11e + 8

86.

(e + 5)²

Hint: try (e + 5)(e + 5)

a)

e² + 25

b)

e² + 10e + 25

c)

e² + 10e + 10

d)

e² + 10

87.

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

a)

6e² + 16e + 8

b)

5e² +11e + 6

c)

5e² + 16e + 6

d)

6e² + 11e + 8

88.

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

a)

6e² + 16e + 8

b)

5e² +11e + 6

c)

5e² + 16e + 6

d)

6e² + 11e + 8

89.

Find the Product. (2e + 3)(2e - 3)

a)

4e² - 9

b)

4e² + 9

c)

4e²- 12e - 9

d)

4e² + 12e - 9

90.

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

a)

4e² + 8e + 3

b)

4e² - 8e - 3

c)

4e² - 8e + 3

91.

Multiply the following together:

(2e + 3)(e² + 4e + 1)

a)

2e³ + 8e²+ 2e

b)

3e² + 12e + 3

c)

2e³ + 11e² + 14e + 3

d)

2e³ + 12e + 3

92.

(5e + 2)(e²- 3e + 6)

a)

5e³- 17e²+24e +12

b)

5e³+ 17e² - 24e +12

c)

5e³ - 13e² + 24e +12

d)

5e³ +13e² - 24e - 12

93.

Simplify:
$\left(x+7\right)\left(x-7\right)$

a)

$x^2+7x-49$

b)

$x^2-7x+49$

c)

$x^2-49$

d)

$x^2+49$

94.

(1a) Select the answer that completes the box with the correct terms. The terms are listed in 1, 2, 3, 4 order as shown in the box.

a)

$-2x^2,\ -2x\ ,\ -2x,\ -2$

b)

$-4x,\ -3x,\ -3x,\ -2$

c)

$2x^2,2x,2x,2$

d)

$4x^2,2x,\ -2x,\ 2$

95.

Which of the following is the correct box method set-up to solve $\left(x+2\right)\left(x+3\right)=$ ?

a)

b)

c)

d)

96.

Which of the following is the correct box method set-up to solve $\left(x+2\right)\left(x+3\right)=$ ?

a)

b)

c)

d)

97.

Which of the following could be the correct set up for the Box Method when multiply (x + 3) (2x - 4) _{(click on the question to see the image in the background...yes we usually use the right side)}

a)

A

b)

B

c)

C

d)

D

98.

What does it mean for two terms to be considered "like terms"

a)

They have the same number

b)

They have the same variable

c)

They have the same variable/exponent combination

d)

They have the same sign

99.

Write the expanded (general) form of the product (x+3)(x+6).

a)

x²+18x+9

b)

x²+9x+18

c)

x²+18x+18

100.

a)

A

b)

B

c)

C

d)

D

101.

a)

b)

c)

102.

Simplify

5x (-3x + 5)

a)

-8x² + 10x

b)

-15x² + 25x

c)

15x² + 25

d)

-15x + 25

103.

Which pair is an example of like terms?

a)

2a and 2b

b)

x and x²

c)

3k and 3k³

d)

y² and 2y²

104.

Multiply binomials using box method (2x +1) (x - 3).

a)

2x³ -4x +3

b)

2x + 5x -3

c)

2x² -5x -3

d)

2x -6x + 2

105.

3x^2y^3\left(2xy^4-5y\right)

a)

$6x^3y^7-15x^2y^4$

b)

$5x^2y^{12}-2x^2y^3$

c)

$6x^2y^7-15x^2y^3$

106.

5x(4x³ + 8)

a)

9x⁴ + 40x

b)

20x⁴ + 40x

107.

3x(2x² + 9x + 6)

a)

6x³ + 27x² + 18x

b)

6x³ + 18x² + 9

108.

7y(5y² + 2y + 3)

a)

35y³ + 14y² + 21y

b)

12y³ + 14y² + 21y

109.

4m(3m⁷ + 2m⁵)

a)

7m⁷ + 6m⁶

b)

12m⁸ + 8m⁶

110.

-2x(5x² + 8)

a)

-10x³ -16x

b)

-10x² - 16

111.

-6y(y⁵ + 8y)

a)

-6y⁶ - 48y²

b)

-6y⁶ - 48

112.

-8x(x - 8)

a)

-8x² + 64x

b)

-8x² - 64

113.

10(x+y+z)

a)

10x+y+z

b)

10x+10y+z

c)

10x+10y+10z

d)

10xyz

114.

10x(2x²+3x+4)

a)

20x³+30x²+40x

b)

20x²+30x+40

c)

12x³+13x²+14x

d)

12x²+13x+14

115.

10x(2x²+3x+4)

a)

20x³+30x²+40x

b)

20x²+30x+40

c)

12x³+13x²+14x

d)

12x²+13x+14

116.

REVIEW: Add the polynomials:

(2x² + 5x - 11) + (3x + 9)

a)

2x² + 8x - 2

b)

2x² + 8x - 20

c)

2x² + 2x + 2

d)

5x² + 8x

2nd Nine Weeks Assessment 2023

Total questions: 116

Worksheet time: 10hrs 40mins

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