Free Printable Quadratics Part 2

1.

What is the Greatest Common Factor of 12 and 18?

a)

1

b)

3

c)

6

d)

8

2.

What is the GCF of 9 and 15?

a)

1

b)

3

c)

6

d)

8

3.

Which pair of numbers have a GCF of 3?

a)

15 and 27

b)

20 and 30

c)

45 and 15

d)

9 and 18

4.

What is the GCF of 12 and 30?

a)

2

b)

4

c)

6

d)

8

e)

12

5.

What does GCF stand for?

a)

Good Cold Flu

b)

Gaussian Coefficient Formula

c)

Given Clear Function

d)

Greatest Common Factor

6.

What is the GCF? 3x²-3x

a)

3

b)

x

c)

3x

d)

1

7.

What is the GCF? 5x²+20x

a)

5

b)

x

c)

5x

d)

20x

8.

Factor:
10x + 15

a)

100x + 150

b)

10(x + 5)

c)

1(10x + 15)

d)

5(2x + 3)

9.

What is the GCF? 2x²-4x+8

a)

2x

b)

2

c)

x

d)

1

10.

Factor:
x² - 5x

a)

1(x - 5)

b)

x(x - 5x)

c)

x(x - 5)

d)

x²(1 - 5)

11.

What is the GCF of 18k and 15k³

a)

3k²

b)

3k³

c)

3k

d)

5k

12.

Factor:
24c⁵ - 12c³

a)

6(4c⁵ - 2c³)

b)

12c³(2c²)

c)

12c³(2c² - 1)

d)

12c³(2c² - 0)

13.

Factor:
16x² + 18x + 12

a)

4(4x² + 6x + 3)

b)

2(8x² + 9x + 6)

c)

2x(8x + 9 + 3)

d)

x(16x + 18 + 12)

14.

w⁵ - w³

a)

w³(w² - 1)

b)

w(w⁴ - w²)

c)

w³(w² - w)

d)

w²(w³ - w)

15.

w³ + 3w

a)

3w(1)

b)

w(w² + 3)

c)

w³(w + 3)

16.

Jane has 18 juice boxes, 24 bags of peanuts and 36 apples. She wants to make snack bags with the same number of each thing in each bag. What is the greatest number of snack bags Jane can make.

a)

4

b)

6

c)

8

d)

10

17.

Peter has 18 oranges, 27 pears and 12 bananas. He wants to make fruit baskets with the same number of each fruit in each basket. What is the greatest number of fruit baskets he can make?

a)

1

b)

2

c)

3

d)

4

18.

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)

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

19.

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)

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

20.

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)

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

21.

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)

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

22.

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)

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

23.

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)

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

24.

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)

25.

7r³- 8r²+ 42r - 48

a)

(r²+6)(7r+8)

b)

(r²+6)(7r-8)

c)

(r²+6)(r²+8)

d)

(r²+6)(7r+6)

26.

Factor:
56a³-8a

a)

8a²(56a³-8a)

b)

8a(7a²-1)

c)

8a(7a³-a)

d)

8a²(35a²-a)

27.

Factor:
2n²-8n³

a)

2n²(n-4n²)

b)

2n²(1-4n²)

c)

2n³(10-8n²)

d)

3n(1-4n)

28.

Factor:
2n³+16n+12

a)

2n(n³+24n+6)

b)

2(n³+8n+6)

c)

2n(n³+8n+6)

d)

3(n³+8n+6)

29.

Factor:
10a⁴+16a+10a²

a)

2a(5a³⁺8+5a)

b)

2a⁴(5a+8a²+5a³)

c)

2a⁴(10+16a+40a²)

d)

3a³(5+8a+a²)

30.

Factor
10x² + 15x-5

a)

25(10x³+45x-15)

b)

5(2x³ + 3x²-x)

c)

x(10x³+15x-5)

d)

5(2x²+3x-1)

31.

Factor
4b⁵+4b³+16b²

a)

4b³(b⁴+b²+4b)

b)

4b³(b⁴+4b+5)

c)

4(b⁵+b³+4b²)

d)

4b²(b³+b+4)

32.

Factor by GCF:

6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

Prime

33.

Factor by GCF:

17xy - x

a)

17(xy - x)

b)

y(17x - x)

c)

x(17y - 1)

d)

Prime

34.

What is the GCF?
15x + 27

a)

3

b)

5

c)

9

d)

2

35.

Factor the polynomial
12x - 9

a)

3x(4x - 3)

b)

6(2x - 1)

c)

3(4x - 3)

d)

3(x - 3)

36.

What is the GCF? $2x^3+4x^2-8x$

a)

2

b)

4

c)

2x

d)

4x

37.

What is the GCF? $x^3+5x^2-22x$

a)

1

b)

x

c)

5x

d)

22

38.

What is the GCF of

24xy^2,\ 36x^3y^5z,\ and\ 18x^2y^3z^2

a)

$6xy^2$

b)

$6x^3y^5z^2$

c)

$12xyz$

d)

$12xy^2$

39.

Factor:
56a³-8a

a)

8a²(56a³-8a)

b)

8a(7a²-1)

c)

8a(7a³-a)

d)

8a²(35a²-a)

40.

Factor Completely:
2x² - 2x - 6

a)

2(x + 3)(x - 1)

b)

2(x + 2)(x - 3)

c)

2(x² - x - 3)

d)

2(x² - 2x - 6)

41.

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)

42.

What is the factored form of x³+7x²-2x-14

a)

(x²-2)(x-7)

b)

(x²+2)(x-7)

c)

(x²+2)(x+7)

d)

(x²-2)(x+7)

43.

Simplify. Write your answer in standard form:
(3x³+9x²-2x)−(7x³-6x²+1)

a)

10x³+15x²-3x

b)

-4x³+3x²-2x+1

c)

-4x³+15x²-2x-1

d)

-4x³+15x²-2x+1

44.

Simplify the product. Write the answer in standard form.
(x+2)(x-5)

a)

x²-3x-10

b)

2x²-3

c)

x²-10

d)

x²+2x-10

45.

Simplify the product. Write the answer in standard form.
(y+6)(6y²+9y-8)

a)

49y³

b)

36y²+55y-48

c)

6y³+36y²+54y-48

d)

6y³+45y²+46y-48

46.

What is the factored form of 4x²+8x+10

a)

2x(2x²+4x+5)

b)

2x(x²+4x+10)

c)

2(2x²+4x+10)

d)

2(2x²+4x+5)

47.

What is the factored form of 2a³-2a²

a)

2a²(a)

b)

2a(2a²-a)

c)

2a²(a-1)

d)

2a²(a+1)

48.

What is the factored form of 6d⁴+9d³-12d²

a)

3d²(2d²+3d-4)

b)

3d²(3d²+6d-9)

c)

3d²(d³+3d²-4)

d)

6d²(d²+3d³-6)

49.

What is the GCF of 8c³+12c²+10c

a)

2

b)

4

c)

2c

d)

4c

50.

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)

51.

Is factoring fun?

a)

YES

b)

NO

c)

NO

d)

NO

52.

Factor the trinomial:

x² + 4x + 3

a)

(x+1)(x+3)

b)

(x-1)(x-3)

c)

(x+4)(x+3)

d)

(x+x)(1+3)

53.

Factor the trinomial:

x² - 3x - 28

a)

(x-28)(x-3)

b)

(x-7)(x+4)

c)

(x-25)(x-3)

d)

(x+7)(x-4)

54.

Based on the method we learned in class, which of these puzzles can be used to find the values that split the middle term?

a)

b)

c)

d)

55.

x² + 9x - 52 is written in (a) form.

(x + 13)(x - 4) is written in (b) form.

Choose from the below words

standard

factored

exponential

algebraic

squared

56.

Factor the trinomial.

x² + 7x - 120

a)

(x+7)(x-120)

b)

(x-8)(x+15)

c)

(x+20)(x-6)

d)

(x+40)(x-3)

57.

Factor the trinomial.

x² - 10x + 25

a)

(x-10)(x+25)

b)

(x-5)(x+5)

c)

(x-5)²

d)

answer not here

58.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

59.

Factor
a² - a - 12

a)

(a - 4)(a + 3)

b)

(a + 6)(a - 4)

c)

(a - 6)(a + 4)

d)

(a + 4)(a - 3)

60.

Factor:
x²+ 7x - 30

a)

(x + 10)(x - 7)

b)

(x - 10)(x + 3)

c)

(x + 10)(x + 3)

d)

(x + 10)(x - 3)

61.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

62.

Factor
n² + 5n - 6

a)

(n - 2)(n - 3)

b)

(n - 1)(n + 6)

c)

(n + 1)(n - 6)

d)

(n + 2)(n - 3)

63.

Factor
r² -16r + 60

a)

(r - 15)(r + 4)

b)

(r - 6)(r + 10)

c)

(r - 6)(r - 10)

d)

(r +30)(r - 2)

64.

Factor
x²-16x + 48

a)

(x - 12)(x - 4)

b)

(x + 6)(x - 8)

c)

(x + 12)(x - 4)

d)

(x -16)(x - 3)

65.

Factor:
v² + 3v - 88

a)

(v + 11)(v - 8)

b)

(v + 22)(v - 4)

c)

(v + 8)(v - 11)

d)

(v - 22)(v + 4)

66.

Factor:
x²-15x + 36

a)

(x - 18)(x + 2)

b)

(x - 12)(x - 3)

c)

(x - 12)(x + 3)

d)

(x + 18)(x - 2)

67.

Factor
x² +17x - 60

a)

(x - 20)(x + 3)

b)

(x + 12)(x - 5)

c)

(x - 12)(x + 5)

d)

(x + 20)(x - 3)

68.

Factor
k² - 2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

69.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

70.

Factor
n²- 13n + 40

a)

(n-5)(n-8)

b)

(n+5)(n-8)

c)

(n-5)(n+8)

d)

(n+6)(n+1)

71.

Factor
d² - 10d + 25

a)

(d + 5) (d - 5)

b)

(d - 15) (d + 10)

c)

(d + 5) (d - 20)

d)

(d - 5) (d - 5)

72.

Factor
x²+ 12x + 35

a)

(x+5)(x+7)

b)

(x+4)(x+3)

c)

(x+7)(x-5)

d)

Prime

73.

Factor
r² -16r + 60

a)

(r - 15)(r + 4)

b)

(r - 6)(r + 10)

c)

(r - 6)(r - 10)

d)

(r +30)(r - 2)

74.

Factor
x² + 5x + 4

a)

(x + 4)(x + 1)

b)

(x + 2)(x + 2)

c)

(x + 4)(x - 1)

d)

(x + 5)(x + 1)

75.

Factor
x² + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 10)(x + 2)

c)

(x + 8)(x + 3)

d)

(x + 2)(x + 12)

76.

Factor
x² - 9x + 20

a)

(x - 10)(x - 2)

b)

(x - 20)(x - 1)

c)

(x - 10)(x + 2)

d)

(x - 5)(x - 4)

77.

Factor
x² + 4x + 3

a)

(x - 1)(x - 3)

b)

(x + 1)(x + 3)

c)

(x - 1)(x + 3)

d)

(x + 1)(x - 3)

78.

Factor
x²+ 3x + 2

a)

(x + 2)(x + 1)

b)

(x + 3)(x - 1)

c)

(x + 3)(x + 1)

d)

(x - 3)(x + 1)

79.

Factor the Trinomial:
x² - 8x + 15

a)

(x + 5) ( x + 3)

b)

(x - 5) (x - 3)

c)

(x + 15) (x - 1)

d)

(x - 7) (x - 8)

80.

Factor
n² + 5n - 6

a)

(n - 2)(n - 3)

b)

(n - 1)(n + 6)

c)

(n + 1)(n - 6)

d)

(n + 2)(n - 3)

81.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

82.

Factor
x² – 5x – 24

a)

(x - 5)(x + 19)

b)

(x - 8)(x + 3)

c)

(x - 3)(x + 8)

d)

(x - 19)(x + 5)

83.

What is the greatest common factor of the three terms in the expression?
24m³n⁵p + 6mn⁴p² + 4mn⁵

a)

2mn

b)

24mn⁴

c)

2mn⁴

d)

2mn⁴p

84.

Find the GCF of 9u³v⁴w and 15u²v²w²

a)

9u²v²w

b)

9u³v⁴w²

c)

3u³v⁴w²

d)

3u²v²w

85.

Factor the trinomial.

a)

(x+5)(x+4)

b)

(x+10)(x+2)

c)

(x+20)(x+1)

d)

(x+4)(x+3)

86.

Factor the trinomial.

a)

(x+27)(x+1)

b)

(x+9)(x+3)

c)

(x+28)(x+1)

d)

(x+14)(x+13)

87.

Factor the trinomial.

a)

(x-6)(x-2)

b)

(x-4)(x-3)

c)

(x-4)(x+3)

d)

(x+6)(x-2)

88.

Factor the trinomial.

a)

(x-4)(x-4)

b)

(x+4)(x-4)

c)

(x-8)(x-2)

d)

(x+8)(x-2)

89.

Factor the trinomial.

a)

(x-15)(x+2)

b)

(x-10)(x-3)

c)

(x-10)(x+3)

d)

(x+15)(x-2)

90.

Factor the trinomial.

a)

(x+8)(x-6)

b)

(x-8)(x+6)

c)

(x-4)(x+2)

d)

(x+4)(x-2)

91.

Factor:
4h² - 17h + 4

a)

(2h - 2)²

b)

4(h + 4)(h + 1)

c)

(2h - 2)(2h + 2)

d)

(h - 4)(4h - 1)

92.

Factor:
2m² + 3m - 9

a)

2(m + 3)(m - 3)

b)

(2m - 3)²

c)

(m + 3)(2m - 3)

d)

(2m + 3)(m - 3)

93.

Factor Completely:
5v²- 30v + 40

a)

(5v - 8)(v + 5)

b)

(5v + 5)(v - 8)

c)

5(v - 4)(v - 2)

d)

5(v + 8)(v - 5)

94.

Factor Completely:
2r²- 44r + 242

a)

2(r - 11)²

b)

(2r - 11)²

c)

2(r - 11)(r + 11)

d)

2(r + 11)²

95.

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)

96.

Factor
3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

97.

Factor Completely:
6x² + 5x - 6

a)

6(x + 1)(x - 6)

b)

(6x + 6)(x - 1)

c)

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

d)

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

98.

Factor Completely:
15t² - 27t - 6

a)

3(5t +1)(t - 2)

b)

(3t - 6)(5t + 1)

c)

3(5t - 1)(t + 2)

d)

(15t + 6)(1t - 6)

99.

Factor Completely:
3n² - 15n + 18

a)

(n - 2)(n - 3)

b)

3(n + 2)(n + 3)

c)

(3n - 9)(n - 2)

d)

3(n - 3)(n - 2)

100.

Factor the polynomial:
5x² - 13x + 6

a)

(x + 3)(5x - 2)

b)

(x - 2)(5x - 3)

c)

(x + 2)(5x + 3)

d)

(x - 3)(5x + 2)

101.

Factor:
2m² + 3m - 9

a)

2(m + 3)(m - 3)

b)

(2m - 3)²

c)

(m + 3)(2m - 3)

d)

(2m + 3)(m - 3)

102.

Factor Completely: 6x² + 5x - 6

a)

6(x + 1)(x - 6)

b)

(6x + 6)(x - 1)

c)

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

d)

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

103.

Factor:
2m² + 3m - 9

a)

2(m + 3)(m - 3)

b)

(2m - 3)²

c)

(m + 3)(2m - 3)

d)

(2m + 3)(m - 3)

104.

Factor:
2m² + 3m - 9

a)

2(m + 3)(m - 3)

b)

(2m - 3)²

c)

(m + 3)(2m - 3)

d)

(2m + 3)(m - 3)

105.

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)

106.

Factor the polynomial:
5x² - 13x + 6

a)

(x + 3)(5x - 2)

b)

(x - 2)(5x - 3)

c)

(x + 2)(5x + 3)

d)

(x - 3)(5x + 2)

107.

$3p^2-2p-5$

a)

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

b)

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

c)

$\left(x-15\right)\left(x+5\right)$

d)

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

108.

$2n^2+3n-9$

a)

(2n-3)(n+3)

b)

(2n+3)(n-3)

c)

(n-18)(n+3)

d)

(2n-9)(n+6)

109.

$3n^2-8n+4$

a)

(3n-2)(n-2)

b)

(2n-3)(n+2)

c)

(n+4)(3n+1)

d)

(3n-1)(n-4)

110.

$5n^2+19n+12$

a)

(5n+3)(n+4)

b)

(n+4)(n+15)

c)

(3n+5)(n+19)

d)

(5n+4)(n+3)

111.

$2v^2+11v+5$

a)

(v+5)(v+1)

b)

(2v+1)(v+5)

c)

(2v+10)(v+1)

d)

(v+5)(2v-1)

112.

$2n^2+5n+2$

a)

(2n+1)(n+5)

b)

(n+2)(n+1)

c)

(2n+1)(n+2)

d)

(2n+1)(n+4)

113.

$7a^2+53a+28$ and dragons tutor too!

a)

(a+7)(a+4)

b)

(a+7)(7a+4)

c)

(a+28)(a+7)

d)

(a+49)(a+4)

114.

$9k^2+66k+21$ Hint: GCF

a)

(3k+1)(k+7)

b)

3(3k+1)(k+7)

c)

3(k+1)(k+21)

d)

(3k+1)(k+21)

115.

$15n^2-27n-6$ Hint: GCF

a)

(5n+1)(n-10)

b)

3(5n+1)(n-2)

c)

3(n+1)(n-10)

d)

3(n+1)(n-6)

116.

$5x^2-18x+9$

a)

(5x-3)(x-3)

b)

(5x-3)(n-15)

c)

(n+15)(n-6)

d)

(5x+3)(x+3)

117.

$4n^2-15n-25$

a)

(4n+100)(n-4)

b)

(5n-4)(n+21)

c)

(4n+5)(n-5)

d)

(4n-5)(n-5)

118.

$4x^2-35x+49$

a)

(x-7)(x-7)

b)

(4x-7)(x-7)

c)

(4x-7)(x-28)

d)

(4x+7)(x+7)

119.

$4n^2-17n+4$

a)

(4n+4)(n+1)

b)

(4n-1)(n-4)

c)

(n-16)(n-1)

d)

(4n-16)(n-1)

120.

$6x^2+7x-49$

a)

(6x-7)(x+7)

b)

(6x-49)(x+1)

c)

(3x-7)(2x+7)

d)

(3x+7)(2x+7)

121.

$6x^2+37x+6$

a)

(6x+1)(x+6)

b)

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

c)

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

d)

(6x+6)(x+1)

122.

$6n^2+5n-6$

a)

(3n+2)(3n-3)

b)

(6n-6)(n+1)

c)

(6n+6)(n-1)

d)

(3n-2)(2n+3)

123.

$16b^2+60b-100$ Hint: GCF

a)

(4b+10)(4b-10)

b)

4(4b+10)(b+10)

c)

4(4b-5)(b+5)

d)

(4b+5)(b-5)

124.

Factor Completely: 6e² + 5e - 6

a)

6(e + 1)(e - 6)

b)

(6e + 6)(e - 1)

c)

(2e - 3)(3e + 2)

d)

(3e - 2)(2e + 3)

125.

Factor: 2e² + 3e - 9

a)

2(e + 3)(e - 3)

b)

(2e - 3)²

c)

(e + 3)(2e - 3)

d)

(2e + 3)(e - 3)

126.

Factor: 4e² - 17e + 4

a)

(2e - 2)²

b)

4(e + 4)(e + 1)

c)

(2e - 2)(2e + 2)

d)

(e - 4)(4e - 1)

127.

Factor 3e² - 4e - 7

a)

(3e - 7)(e + 1)

b)

3(e - 7)(e - 1)

c)

(3e + 1)(e - 9)

d)

(3e + 1)(e - 10)

128.

Factor x² – 16.

a)

(x + 2)(x – 8)

b)

(x – 4)(x – 4)

c)

(x + 4)(x + 4)

d)

(x + 4)(x – 4)

129.

x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

130.

x² - 9

a)

(x + 3)²

b)

(x + 3) (x - 3)

c)

(x - 3)²

d)

x + 3(x - 3)

131.

4x² - 25

a)

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

b)

(2x - 5)²

c)

(2x + 5)²

d)

2x + 5(2x - 5)

132.

x²- 400

a)

( x - 200) ( x + 200)

b)

( x + 20) ( x + 20)

c)

Prime

d)

( x - 20) ( x + 20)

133.

16n² - 25

a)

(16n - 25)(16n + 25)

b)

(8n - 5)(8n + 5)

c)

(4n + 5)(4n - 5)

d)

Not Factorable

134.

Fully Factor the Following
25x²-81

a)

(5x-9)²

b)

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

c)

25(x-9)²

d)

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

135.

x²- 225

a)

( x + 15) ( x + 15)

b)

Prime

c)

( x - 15) ( x + 15)

d)

( x - 15) ( x - 15)

136.

x²- 169

a)

( x - 13) ( x + 13)

b)

( x + 13) ( x + 13)

c)

( x - 13) ( x -13)

d)

Prime

137.

9x²- 49y²

a)

( 3x + 7y) (3x + 7y)

b)

( 3x - 7y) (3x + 7y)

c)

( 3x - 7y) (3x - 7y)

d)

Prime

138.

Which of the following is a difference of perfect squares?

a)

x² - 18

b)

4x² + 36

c)

9x² - 100

d)

x² + 4

139.

64x² - 81y²

a)

(8x + 7y) (8x - 7y)

b)

(8x + 9y) (8x - 9y)

c)

(6x + 7y) (6x - 7y)

d)

(6x + 9y) (6x - 9y)

140.

Solve using Factoring.

x²- 6x + 9 = 0

a)

x = 3, 3

b)

x = -3, -3

c)

x= -4, -2

d)

not factorable

141.

Solve:

x² + 2x - 24 = 0

a)

x = -6, x = 4

b)

x = 6, x = -4

c)

x = 12, x = -2

d)

x = 8, x = -3

142.

Solve:

x² - 3x - 4 = 0

a)

x = 4 and -1

b)

x = -4 and -1

c)

x = 4 and 1

d)

x = -4 and 1

143.

Solve for the values of x:
(x + 2)(x - 3) = 0

a)

{ 2, 3 }

b)

{ -2, -3 }

c)

{ 2, 3 }

d)

{ -2, 3 }

144.

Solve for the values of x:
(2x - 1)(x + 4) = 0

a)

{ 1/2, -4 }

b)

{ 1/2, 4 }

c)

{ 2, -4 }

d)

{ -2, 4 }

145.

Solve by factoring: x² + 3x - 18 = 0

a)

x = -3 and x = 6

b)

x = 3 and x = -6

c)

x = -9 and x = 2

d)

x = 9 and x = -2

146.

Solve by factoring: x² - 9x + 20 = 0

a)

x = -4 and x = -5

b)

x = 20 and x = -9

c)

x = 4 and x = 5

d)

x = -4 and x = 5

147.

Solve for x
x² - 3 = 78

a)

-9,9

b)

9

c)

-9

d)

-√75, √75

148.

x² + 28 = -11x

a)

{7,-4}

b)

{-7,4}

c)

{7,4}

d)

{-7,-4}

149.

Solve by factoring.

x² + 15x + 44 = 0

a)

{-8, 2}

b)

{-7, 5}

c)

{-11, -4}

d)

{-11}

150.

Solve by factoring: x² + 3x - 18 = 0

a)

x = -3 and x = 6

b)

x = 3 and x = -6

c)

x = -9 and x = 2

d)

x = 9 and x = -2

151.

Solve by factoring.

x² + 15x + 44 = 0

a)

{-8, 2}

b)

{-7, 5}

c)

{-11, -4}

d)

{-11}

152.

Solve: b² = -35 + 12b

a)

b = 5 and 7

b)

b = -5 and -7

c)

b = -5 and 7

d)

b = 5 and -7

153.

Find the value of x as it relates to the rectangle.

Area = 15m²

a)

x = -7 or x = 5/2

b)

x = -3 or x = 5

c)

x = 3

d)

x = 5

154.

In the equation
(x + 2)(x - 3) = 0, the binomials are called...?

a)

Factors

b)

Products

c)

Multiples

d)

Zeros

155.

What is the first step in solving
(x + 2)(x - 3) = 0 ?

a)

Plug in zero for x

b)

Solve for x

c)

FOIL

d)

Set each binomial factor equal to zero

156.

Solve for the values of x:
(x + 2)(x - 3) = 0

a)

{ 2, 3 }

b)

{ -2, -3 }

c)

{ 2, 3 }

d)

{ -2, 3 }

157.

Solve for the values of x:
(2x - 1)(x + 4) = 0

a)

{ 1/2, -4 }

b)

{ 1/2, 4 }

c)

{ 2, -4 }

d)

{ -2, 4 }

158.

Solve and find your x-intercepts:
0=x(x - 6)

a)

x=0 and x=-6

b)

x=1 and x=-6

c)

x=0 and x=6

d)

x=6

159.

Solve and find your zeros:
z(z - 15)=0

a)

z=0 and z=15

b)

z=0 and z=-15

c)

z=-15

d)

z=15

160.

True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing?

a)

True

b)

False, because the solution and root are the same but the x-intercept and zero are different

c)

False, because the x-intercept and root are the same but the zero and solution are different

d)

False, they are all different

161.

What are the zeros of (2x+5)(x-6)=?

a)

-6, 5/2

b)

-5/2, 6

c)

6, 2

d)

5, -6

162.

Solve for x: x(x-3)(x-4) = 0

a)

{0,3,4 }

b)

{3,4 }

c)

{ 0,-3,-4 }

d)

{ }

163.

(4x+8)(8x-16)=0

a)

{2}

b)

{-2}

c)

{-2,2}

d)

{0,-2,2}

164.

Solve for x: (x - 7)(x + 2)

a)

-7, 2

b)

7, -2

c)

7, 2

d)

-7, -2

165.

Solve for x: (2x - 6)(x + 1)

a)

-6, 1

b)

3, -1

c)

-3, 1

d)

-3, -1

166.

$r\left(r+7\right)=0$

a)

$r=0,\ r=-7$

b)

$r=0,\ r=7$

c)

$r=-7$

d)

$r=7$

167.

$\left(7f-3\right)\left(9f+1\right)=0$

a)

$f=\frac{3}{7},\ f=-\frac{1}{9}$

b)

$f=-\frac{3}{7},\ f=\frac{1}{9}$

c)

$f=\frac{3}{7,}\ f=\frac{1}{9}$

d)

$f=-\frac{3}{7},\ f=-\frac{1}{9}$

168.

$\left(h+8\right)\left(h+5\right)=0$

a)

$h=-8,\ h=-5$

b)

$h=8,\ h=5$

c)

$h=-8,\ h=5$

d)

$h=8,\ h=-5$

169.

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

170.

If the graph of a quadratic does not intercept the x-axis at any point, then it has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solution

171.

Does the equation open or or down?
Y = -3x² +7x - 2

a)

up

b)

down

172.

Use the quadratic formula to determine the solutions.

2x² + 2x - 12?

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

173.

Use the quadratic formula to determine the solutions.

2x² - 9x - 35 = 0

a)

x = 7/2, x = -6

b)

x = -5/2, x =5

c)

x = -3/7, x =6

d)

x = -5/2, x = 7

174.

The formula to determine how many solutions a quadratic equation is called the discriminant which is...

a)

aX² + bX + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

175.

What does the discriminant tell us?

a)

The maximum or minimum

b)

The y-intercept

c)

The number and type of solutions

d)

The axis of symmetry

176.

If the discriminant is negative, you will have....

a)

two real solutions

b)

two irrational solutions

c)

no solution

d)

one solution

177.

For the function below, is the discriminant positive, negative, or zero?

___________

y = x² + 4x + 4

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

178.

What are the solutions of this graph?

a)

-2 and 3

b)

-1/2 and -6

c)

-2 and -6

d)

3 and -6

179.

Use the discriminant to determine the number of solutions the following quadratic equation has.

6x² − 2x − 3 = 0

a)

76 Two Solutions

b)

29 Two Solutions

c)

68 Two Solutions

d)

none of these

180.

Use the discriminant to determine the number of solutions the following quadratic equation has.

-2x² − x − 1 = 0

a)

76 Two Solutions

b)

-7 No Solutions

c)

9 Two Solutions

d)

0 One Solution

181.

How many solutions will this quadratic equation x²+8x+16 has?

a)

2 real solutions

b)

2 imaginary solution

c)

1 solution

d)

3 solutions

182.

Use the quadratic formula to solve 2x² + 2x - 12?

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

183.

Use the quadratic formula to solve.

x^2+2x-4=0

a)

1.23, -3.23

b)

0.41, -2.41

c)

3.23, -1.23

d)

no solution

184.

Use the quadratic formula to solve.

2x^2+4x+1=0

a)

3.73, 0.26

b)

-0.06, -1.93

c)

1.70, 0.29

d)

-0.29, -1.70

185.

Fill in the blanks to simplify the quadradic formula

$x=\ \frac{-\left(-3\right)\pm\sqrt[]{\left(-3\right)^2-4\left(7\right)\left(-8\right)}}{2\left(7\right)}$

x= (a) $\pm\sqrt[]{}$ (b) / (c)

Choose from the below words

3

233

14

186.

$x=\frac{-\left(8.5\right)\pm\sqrt[]{8.5^2-4\left(0.25\right)\left(-17\right)}}{2\left(0.25\right)}$

Choose the solutions to this equations.

a)

x= -35.9

b)

x=35

c)

x=1.9

d)

x= -1.89

187.

What is this formula?

a)

This is the standard formula.

b)

This is the quadratic formula.

c)

This is the square root formula.

d)

This is the Pythagorean formula

188.

find x for
2x²-8x-24=0

a)

x= 6, -2

b)

x= 2, -6

c)

x= 4, 2

d)

x= 2, 6

189.

Solve using the Quadratic Formula:
x² + 4x + 3 = 0

a)

x = 1 and x = 3

b)

x = 6 and x = -2

c)

x = -1 and x = -3

190.

____________
For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

191.

____________
For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

192.

Solve using the quadratic formula :

x² - 7x + 12 = 0

a)

x = 3, -4

b)

x = -3, 4

c)

x = 3, 4

d)

x = -3, -4

193.

$b^2-4b+4=0$

a)

x = -2

b)

x = 2

c)

no real solution

d)

x = -2 and 2

194.

$m^2-5m-14=0$

a)

x = 7 and -2

b)

x = 7 and 2

c)

x = -7 and -2

d)

x = -7 and 2

195.

Solutions of a quadratic equation are also called

a)

roots

b)

x-intercepts

c)

zeros

d)

All of the above

196.

Why are quadratic equations set equal to zero?

a)

Because zero is an easy number to work with.

b)

Because we are trying to find the x-intercepts and that happens when y=0.

c)

Because setting it equal to zero helps us find the y-intercepts.

d)

None of the above

Quadratics Part 2

Total questions: 196

Worksheet time: 13hrs 59mins

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