Free Printable A1-CHAPTER 8 TEST 2024-25

1.

What is the greatest common factor of 10b²and 10?

a)

2

b)

5

c)

10

d)

10b

2.

What is the greatest common factor of 48x²and 32x³?

a)

8x²

b)

16x²

c)

16x

d)

96x³

3.

What is the greatest common factor of 28y²and 49y²?

a)

7y

b)

21y²

c)

196y²

d)

7y²

4.

What is the greatest common factor of 42xy² and 28x³y?

a)

84x³y²

b)

14y

c)

14xy

d)

14xy²

5.

What is the greatest common factor of 20a²b² and 50b³?

a)

100a²b²

b)

10b³

c)

10ab²

d)

10b²

6.

What is the greatest common factor of 40a²b and 48ab²?

a)

240a²b²

b)

5ab

c)

8ab

d)

4ab

7.

What is the greatest common factor of 30x and 56x²

a)

4x

b)

6x

c)

2x

d)

x

8.

What is the greatest common factor of 12c⁴ and 6c²?

a)

6c⁴

b)

6c²

c)

2c²

d)

12c⁴

9.

What is the greatest common factor of 18xy³ and 25x³y²?

a)

xy²

b)

x³y²

c)

1

d)

x²y³

10.

HOW MANY PRIME NUMBERS BETWEEN 1-100

a)

25

b)

50

c)

10

d)

100

11.

What is the greatest common factor of 12 and 18?

a)

2

b)

3

c)

4

d)

6

12.

What is the greatest common factor of 10b²and 10?

a)

2

b)

5

c)

10

d)

10b

13.

What is the greatest common factor of 48x²and 32x³?

a)

8x²

b)

16x²

c)

16x

d)

96x³

14.

What is the greatest common factor of 28y²and 49y²?

a)

7y

b)

21y²

c)

196y²

d)

7y²

15.

What is the greatest common factor of 42xy² and 28x³y?

a)

84x³y²

b)

14y

c)

14xy

d)

14xy²

16.

What is the greatest common factor of 40a²b and 48ab²?

a)

240a²b²

b)

5ab

c)

8ab

d)

4ab

17.

What is the greatest common factor of $30a^3b^2c^2$ and $6a^2bc^3$ ?

a)

$5a^3b^2c$

b)

$a^2bc^3$

c)

$5abc$

d)

$6a^2bc^2$

18.

What is the greatest common factor of 18xy³ and 25x³y²?

a)

xy²

b)

x³y²

c)

1

d)

x²y³

19.

Factor using GCF or monomial factoring:

2n²-8n³

a)

2n²(n-4n²)

b)

2n²(1-4n)

c)

2n³(10-8n²)

d)

3n(1-4n)

20.

Factor out the GCF:
10x³ - 15x

a)

x(10x² - 15)

b)

5x(2x² - 3)

c)

5(2x³ - 3x)

d)

5x²(10x - 3)

21.

Factor using GCF or monomial factoring:

2x + 18

a)

2(x + 9)

b)

2(x + 8)

c)

2(2x + 9)

d)

cannot be factored

22.

Factor using GCF or monomial factoring:

x² - 5x

a)

1(x - 5)

b)

x(x - 5x)

c)

x(x - 5)

d)

x²(1 - 5)

23.

Find the GCF of the terms of each polynomial.

72y⁵ + 18y²

a)

y²

b)

4y⁵

c)

18y

d)

18y²

24.

Factor using GCF or monomial factoring:

w³ + 3w

a)

3w(1)

b)

w(w² + 3)

c)

w³(w + 3)

25.

WHAT IS THE FACTOR OF 9X+45?

a)

9X

b)

9X(1+ 5)

c)

9(X+5)

d)

9(X+45)

26.

What is the factor of 6x²-24x?

a)

6x(x-4)

b)

6x(x-24x)

c)

6(x²-24x)

d)

6x²(1-24x)

27.

Factor out the GCF:
10x³ - 15x

a)

x(10x² - 15)

b)

5x(2x² - 3)

c)

5(2x³ - 3x)

d)

5x²(10x - 3)

28.

Factor using GCF or monomial factoring:

2x + 18

a)

2(x + 9)

b)

2(x + 8)

c)

2(2x + 9)

d)

cannot be factored

29.

Factor using GCF or monomial factoring:

x² - 5x

a)

1(x - 5)

b)

x(x - 5x)

c)

x(x - 5)

d)

x²(1 - 5)

30.

Factor 6x + 10

a)

3(2x + 5)

b)

2(3x + 5)

c)

2(3x - 5)

d)

-2(3x + 5x)

31.

Find the fators of 10x³ + 2x² + 4x

a)

10(x³ + 2x² + 4x)

b)

10x(x² + 2x + 4)

c)

x(10x² + 2x + 4)

d)

2x(5x² + x + 2)

32.

Factor 9y³ - y² - y

a)

9(y³ - y² - y)

b)

y(9y² - y - 1)

c)

1(9y³ - y² - y)

d)

y(9y² - y - y)

33.

18x⁴y⁵ + 36x³y⁷

a)

18xy (x³y⁴+ 2x²y⁶)

b)

18x³y⁷ (x + 2y)

c)

18x³y⁵ (x + 2y²)

d)

18x³y (x + 2y)

34.

Factor 6x⁵ – 15x⁴ – 21x³ + 27x²

a)

3x²(2x³+ 5x² + 7x + 9)

b)

3x²(2x³- 5x² - 7x + 9)

c)

3x²(2x³- 5x² - 7x - 9)

d)

3x (2x⁴- 5x³ - 7x² + 9x)

35.

Factor the polynomial.
x²-4x-32

a)

(x-8)(x+4)

b)

(x-4)(x-32)

c)

(x+3)(x-4)

d)

x+2)(x+5)

36.

Factor
x²- 13x + 36

a)

A
(x + 9)(x + 4)

b)

B
(x - 9)(x - 4)

c)

C
(x + 9)(x - 4)

d)

D
(x - 9)(x + 4)

37.

Factor
k²+7x+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

38.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

39.

Factor
k² -2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

40.

Factor
n²-13n+40

a)

(n-5)(n-8)

b)

(n+5)(n-8)

c)

(n-5)(n+8)

d)

(n+6)(n+1)

41.

Factor as the product of two binomials.

$x^2+11x+18=$

a)

$\left(x+9\right)^2$

b)

$\left(x+9\right)\left(x+2\right)$

c)

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

d)

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

42.

Factor as the product of two binomials.

$x^2-3x-10=$

a)

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

b)

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

c)

$\left(x\cdot2\right)$

d)

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

43.

Dose rectangle on the left side has an length of $x+2$ ?

a)

True

b)

False

44.

Factor completely.

$7x^2+35x+42=$

a)

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

b)

$\left(x-3\right)\left(x-2\right)$

c)

$\left(7x+3\right)\left(x+2\right)$

d)

$7\left(x+3\right)\left(x+2\right)$

45.

Factor completely.

$4x^2-28x+40=$

a)

$4\left(x+5\right)\left(x+2\right)$

b)

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

c)

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

d)

$4\left(x-5\right)\left(x-2\right)$

46.

Factor completely.

$5x^2+20x-60$

a)

$\left(x-6\right)\left(x+2\right)$

b)

$5\left(x+6\right)\left(x-2\right)$

c)

$5\left(x-2\right)\left(x+6\right)$

d)

$2\left(x+5\right)\left(x-6\right)$

47.

Factor:
4x²-16x-9

a)

(2x-9)(2x+1)

b)

(2x+9)(2x-1)

c)

(4x-1)(x+9)

d)

(x+1)(4x-9)

48.

Factor: 4x² - 20x + 25

a)

(4x - 25) (x -1)

b)

(2x + 5) (2x - 5)

c)

(2x - 5)(2x - 5)

d)

(4x - 5) (x - 5)

49.

Factor
3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

50.

Factor: 5n² - 6n - 27

a)

(5n + 3)(n-9)

b)

(5n - 3)(n + 9)

c)

(5n + 9)(n - 3)

d)

(5n - 9)(n + 3)

51.

Factor:
2x² - 7x + 6

a)

(x -1)(2x - 6)

b)

(x - 3) (2x - 2)

c)

(x - 2) (2x - 3)

d)

(x - 6) (2x - 1)

52.

Factor completely: 3x² - 7x + 2

a)

(x - 1) (3x + 2)

b)

(x - 2) (3x -1)

c)

(x - 1) (3x - 2)

d)

(x + 2) (3x + 1)

53.

Factor:

2m² + 3m − 9

a)

2(m + 3)(m − 3)

b)

(2m − 3)²

c)

(m + 3)(2m − 3)

d)

(2m + 3)(m − 3)

54.

Factor: $x^2-121$

a)

$\left(x-11\right)^2$

b)

$\left(x+11\right)\left(x-11\right)$

c)

$\left(x-60.5\right)\left(x+60.5\right)$

d)

$\left(x+11\right)^2$

55.

$64x^2+112x+49$ Factor:

a)

$\left(8x-7\right)\left(8x+7\right)$

b)

$\left(8x-7\right)^2$

c)

$\left(16x+7\right)^2$

d)

$\left(8x+7\right)^2$

56.

$a^2-10a+25$ Factor:

a)

$\left(a-5\right)\left(a+5\right)$

b)

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

c)

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

d)

$\left(a-10\right)^2$

57.

$k^2-225$ Factor:

a)

$\left(k\ +15\right)\left(k\ -15\right)$

b)

$\left(k-15\right)^2$

c)

$\left(k\ -25\right)^2$

d)

$\left(k\ +10\right)\left(k\ -10\right)$

58.

$16x^2-81$ Factor:

a)

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

b)

$\left(2x-9\right)^2$

c)

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

d)

$\left(4x+9\right)\left(4x-9\right)$

59.

$4x^2+20x+25$ Factor:

a)

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

b)

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

c)

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

d)

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

60.

$49x^2-144$ Factor:

a)

$\left(7x-12\right)^2$

b)

$\left(7x+12\right)^2$

c)

$\left(7x-12\right)\left(7x+12\right)$

d)

$\left(4x+11\right)^2$

61.

Factor: $x^2-18x+81$

a)

$\left(x-9\right)^2$

b)

$\left(x-9\right)\left(x+9\right)$

c)

$\left(x+9\right)^2$

d)

$\left(x+18\right)\left(x-18\right)$

62.

Factor: $16y^2-24y+9$

a)

$\left(4y+3\right)\left(4y-3\right)$

b)

$\left(8y\ +\ 3\right)^2$

c)

$\left(8y-3\right)^2$

d)

$\left(4y-3\right)^2$

63.

Factor: $49x^2-28x+4$

a)

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

b)

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

c)

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

d)

$\left(3.5x-1\right)^2$

64.

Factor:
x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

65.

Factor:
x²- 16

a)

Prime

b)

( x - 4) ( x + 4)

c)

( x - 8) ( x + 8)

d)

( x - 4) ( x - 4)

66.

Factor:
x² - 30x + 225

a)

(x + 15)²

b)

(x - 15)²

c)

(x + 25)²

d)

(x - 25)²

67.

a)

A

b)

B

c)

C

d)

D

68.

a)

A

b)

B

c)

C

d)

D

69.

a)

A

b)

B

c)

C

d)

D

70.

a)

A

b)

B

c)

C

d)

D

71.

a)

A

b)

B

c)

C

d)

D

72.

a)

A

b)

B

c)

C

d)

D

73.

Factor by grouping
x³ - 4x² -4x + 16

a)

(x+4)(x+2)

b)

(x-4)(x² -4)

c)

(x+4)(x² -4)

d)

(x-4)(x-2)

74.

Factor by grouping:
4p³+8p²+3p+6

a)

(2p²+3)(p+2)

b)

(2p²+6)(p+4)

c)

(4p²+3)(p+2)

d)

(4p²+8p)(3p+6)

75.

Factor by grouping:
5n³-10n²+3n-6

a)

(5n²+3)(n-2)

b)

(5n²-3)(n-2)

c)

(5n³+3)(n-2)

d)

10n(n²-6)

76.

30x³+15x²-18x-9

a)

(5x²-3)(6x+1)

b)

(5x²-3)(6x+3)

c)

3(5x²+3)(2x-1)

d)

3(5x²-3)(2x+1)

77.

2x³-8x²-x+4

a)

(2x²-1)(x-4)

b)

2(x²-1)(x+4)

c)

(x²-1)(2x-4)

d)

(2x²+1)(x-4)

78.

20x³-25x²+4x-5

a)

(5x²-5)(4x+1)

b)

5(x²-1)(4x+5)

c)

(5x²+1)(4x-5)

d)

(5x²+1)(4x-1)

79.

7r³-8r²+42r-48

a)

(r²+6)(7r+8)

b)

(r²+6)(7r-8)

c)

(r²+6)(r²+8)

d)

(r²+6)(7r+6)

80.

20x³-25x²+4x-5

a)

(5x²-5)(4x+1)

b)

5(x²-1)(4x+5)

c)

(5x²+1)(4x-5)

d)

(5x²+1)(4x-1)

81.

x³-5x²+5x-25

a)

(x²-5)(x-5)

b)

(x²+5)(x-5)

c)

(x²+5)(x+5)

d)

(x²-1)(x-25)

82.

Factor:

80x⁵-70x²-60x⁷

a)

2x²(40x³- 35 - 30x⁵)

b)

10x²(8x⁴- 7x -6x⁶)

c)

10x²(8x³- 7 - 6x⁵)

d)

10x⁷(8x²- 7 - 6)

83.

30x³+15x²-18x-9 hint: GCF then Factor by Grouping

a)

(5x²-3)(6x+1)

b)

(5x²-3)(6x+3)

c)

3(5x²+3)(2x-1)

d)

3(5x²-3)(2x+1)

84.

Decide if (x-3) is a factor of 3x³+10x²-x-12

a)

Yes, it is a factor

b)

No, it is not a factor

85.

What is the factored form of 4p³+8p²+3p+6

a)

(2p²+3)(p+2)

b)

(2p²+6)(p+4)

c)

(4p²+3)(p+2)

d)

(4p²+8p)(3p+6)

86.

What is the factored form of 5n³-10n²+3n-6

a)

(5n²+3)(n-2)

b)

(5n²-3)(n-2)

c)

(5n³+3)(n-2)

d)

10n(n²-6)

87.

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)

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

88.

Factor by grouping:

4p^3+8p^2+3p+6

a)

$\left(2p^2+3\right)\left(p+2\right)$

b)

$\left(2p^2+6\right)\left(p+4\right)$

c)

$\left(4p^2+3\right)\left(p+2\right)$

d)

$\left(4p^2+8p\right)\left(3p+6\right)$

89.

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)

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

90.

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)

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

91.

Which of the following would be part of the factored form of $x^3-2x^2+5x+10$ ?

a)

$\left(x-2\right)$

b)

$\left(x+2\right)$

c)

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

d)

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

92.

If I were to factor $6n^3+3n^2+8n+4$ by grouping, my answer would look like $\left(3n^2+4\right)$ times what other binomial?

(a)

93.

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)

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

94.

Which of the following would be part of the factored form of $x^3-3x^2+2x-6$ ?

a)

$\left(x-3\right)$

b)

$\left(x+3\right)$

c)

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

d)

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

95.

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)

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

96.

Is $\left(5x-4\right)$ a factor of $5x^3-4x^2-25x+20$ ?

a)

Yes, it is a factor.

b)

No, it is not a factor.

97.

Factor
k²+7k+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

98.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

99.

factor:x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

100.

Factor
9x²+9x-10

a)

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

b)

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

c)

(3x+5)(3x+2)

d)

Not Factorable

101.

Factor Completely:
3x² + 18x +15

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

102.

Factor Completely:
2k²-14k-60

a)

2(k-10)(k-3)

b)

Not Factorable

c)

(k-5)(k+9)

d)

2(k-10)(k+3)

103.

Factor and solve:
14=2x²- 12x

a)

x=7,1

b)

x=-7,1

c)

x=-1,7

d)

No solution

104.

Solve
a² + 10a + 21 = 0

a)

± √21

b)

-3 , -7

c)

3 , 7

d)

28 , -7

105.

Solve
h² + 7h + 10 = 0

a)

A. h= -5, -2

b)

B. h= 5, 2

c)

C. h = -1, ^-10/₆

d)

D. h = ^-2/₅, -10

106.

Solve
a² + 2a - 24 = 0

a)

a = -6, 4

b)

a = 6, -4

c)

a = 12, -2

d)

a = 8, -3

107.

What are the factors of
25x² - 81?

a)

(5x - 9)(5x + 9)

b)

(5x - 9)(5x - 9)

c)

(5x + 9)(5x + 9)

d)

Cannot be factored

108.

Factor 4b⁵+4b³+16b²

a)

4b³(b⁴+b²+4b)

b)

4b³(b⁴+4b+5)

c)

4(b⁵+b³+4b²)

d)

4b²(b³+b+4)

109.

Factor completely.
k² -2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

110.

Factor completely:
3x² + 5x - 12

a)

(3x + 4)(x-3)

b)

(3x - 4)(x + 3)

c)

(3x + 3)(x -4)

d)

(3x - 3)(x + 4)

111.

Factor by grouping:
3x³-x²+6x-2

a)

(x²+2)(3x+1)

b)

(x²+2)(3x-1)

c)

(3x³+6x)(x²-2)

d)

none of the aboe

112.

Factor completely: 2x²+22x+60

a)

(2x+10)(x+6)

b)

(x+5)(x+6)

c)

2(x+1)(x+30)

d)

2(x+5)(x+6)

113.

Factor completely: x²-6x+8

a)

(x-2)(x-4)

b)

(x-1)(x-8)

c)

(x+2)(x+4)

d)

(x+1)(x+8)

114.

Factor completely: x²+16x+64

a)

(x+4)(x+16)

b)

(x-8)(x-8)

c)

(x+2)(x+32)

d)

(x+8)(x+8)

115.

Factor completely: x²-13x+40

a)

(x-5)(x-8)

b)

(x+5)(x+8)

c)

(x-4)(x-10)

d)

(x-2)(x-20)

116.

Factor completely: 3x²-8x+4

a)

(3x-4)(x-1)

b)

(3x-2)(x-2)

c)

(x+1)(3x+4)

d)

(x+2)(3x+2)

117.

Factor:
x²+ 7x - 30

a)

(x + 10)(x - 7)

b)

(x - 10)(x + 3)

c)

(x + 10)(x + 3)

d)

(x + 10)(x - 3)

118.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

119.

Factor
a² - a - 12

a)

(a - 4)(a + 3)

b)

(a + 6)(a - 4)

c)

(a - 6)(a + 4)

d)

(a + 4)(a - 3)

120.

Factor:
2x² - 3x - 2

a)

(2x - 2)(x + 1)

b)

(2x + 1)(x - 2)

c)

(2x - 1)(x - 2)

d)

(2x - 1) (x - 1)

121.

Factor:x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

122.

Factor
x² + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 10)(x + 2)

c)

(x + 8)(x + 3)

d)

(x + 2)(x + 12)

123.

Factor completely.
3x² + 10x - 8

a)

(3x + 2)(x + 4)

b)

(7x + 5)(x + 2)

c)

(3x - 2)(x + 4)

d)

(7x - 3)(x - 4)

124.

Factor completely.
5x² - 7x + 2

a)

5(x - 2)(x + 1)

b)

(5x - 2)(x + 1)

c)

(7x - 1)(x - 4)

d)

(5x - 2)(x - 1)

125.

Factor:
x² - 9

a)

(x + 3)(x - 3)

b)

(x + 3)²

c)

(x - 3)²

d)

(x+3)(x+3)

126.

Factor Completely.
8x³ - 18x

a)

2x(4x²-9)

b)

(4x²+3)(2x-3)

c)

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

d)

PRIME

A1-CHAPTER 8 TEST 2024-25

Total questions: 126

Worksheet time: 9hrs 39mins

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