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Polynomials and Factoring Quiz

Total questions: 164

Worksheet time: 8hrs 29mins

Name
Class
Date
1.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
2.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
3.
Add or Subtract to Simplify:
 (5x + 2) + (4x + 5)
a)
9x -7
b)
-9x-11
c)
9x+7
d)
x+7
4.
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 
5.
a)
A
b)
B
c)
C
d)
D
6.
What is the type of polynomial 3x4 + 2x2 + 5x ?
a)
monomial
b)
binomial
c)
trinomial
d)
polynomial
7.
Add the polynomials (x-2) and (x2+3)
a)
x2+x+1
b)
x3+5
c)
x3+1
d)
x3-1
8.
What is the degree of the polynomial 3x4 + 2x2 + 5x ?
a)
1
b)
2
c)
3
d)
4
9.

What is the perimeter of the rectangle?

a)

x²+8x-5

b)

2x²+16x-10

c)

2x²+10x-8

d)

6x-2

10.
What is the perimeter of the triangle shown?
a)
9r2+r-5
b)
9r4+r2-4
c)
9r2-r+4
d)
9r2+r-4
11.
Which of the following are examples of like terms?
a)
2 and 2x
b)
yand x3
c)
y and x
d)
-3x and 3x
12.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
13.
Combine like terms to simplify:
 (5x + 2) + (4x + 5)
a)
9x -7
b)
-9x-11
c)
9x+7
d)
x+7
14.
Add the polynomials (x-2) and (x2+3)
a)
x2+x+1
b)
x3+5
c)
x3+1
d)
x3-1
15.
(5x - y) + (2x + 6y)
a)
7x + 7y
b)
7x + 5y
c)
7x + 6y
d)
3x - 5y
16.
Add to Simplify:
 (4x - 2x3) + (5x3 - 4x + 5)
a)
3x3 + 5
b)
3x3 + 8x + 5
c)
3x2 + 5
d)
7x3 + 8x + 5
17.
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
18.
Find the sum. 
(3 - 2x + 2x2) + (4x - 5 + 3x2)
a)
7x - 7x + 5x2
b)
5x+ 2x - 2
c)
5x2
d)
5x2 + 6x + 8
19.
(2x + 5y - z) + (-6x - 4y + 7z)
a)
-4x +6y + 6z
b)
4x + y + 6z
c)
-4x - y + 6z
d)
-4x + y + 6z
20.
(4a + 6ab - b) + (-2a - ab + 3b)
a)
2a + 7ab + 2b
b)
6a + 5ab - 2b
c)
6a + 7ab + 4b
d)
2a + 5ab + 2b
21.

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

(HINT: Perimeter means add all the sides together. Just do not forget how many sides a rectangle has).

a)

4x - 12

b)

4x - 1

c)

8x - 2

d)

4x2 - 2x - 12

22.
Add or Subtract to Simplify:
(4x2+ x) - (x2+ 2x)
a)
3x- x
b)
4x+ 2x
c)
3x2 + 3x
d)
3x2 + 2x
23.
Subtract: (2a2 + 5a + 3) -(a2 - 3a - 4)
a)
3a2 + 2a - 1
b)
a+ 8a + 7
c)
3a+ 8a + 7
d)
a2 + 2a - 1
24.

Simplify:

(4n4 - 8n + 4) - (8n2 + 4n4 + 1)

a)

-8n2 - 8n + 3

b)

-7n2 - 8n + 3

c)

-6n2 - 8n + 3

d)

-7n2 - 4n + 3

25.
Simplify each expression.
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
a)
4b4 - 2b3 + 7
b)
5b4 - 2b3 + 4
c)
b4 - 2b3 + 7
d)
5b4 - 2b3 + 7
26.

5x(2x3+6)

a)

10x4+30x

b)

10x3+30x

c)

7x4+11x

27.

(x - 7)(x + 7)

a)

x2 + 7x - 49

b)

x2 - 7x + 49

c)

x2 - 49

d)

x2 + 49

28.

(2x - 1)(x + 2)

a)

2x2 + 3x - 2

b)

2x2 - 5x - 2

c)

2x2 + 3x + 2

d)

2x2 - 5x + 2

29.

(x - 4)(x - 6)

a)

x2 -10x + 24

b)

x2 - 10x - 24

c)

x2 +10x + 24

d)

x2 + 10x - 24

30.

Simplify:

2x ( -2x -3)

a)

-4x - 3

b)

x2 - 3

c)

-4x2 - 6x

d)

-4x - 6

31.

Simplify:

5(3x+2)

a)

3x+10

b)

15x+10

c)

15x-10

d)

3x-10

32.

(x - 3)(x +10)

a)

x2 - 7x + 13

b)

x2 - 6x - 30

c)

x2 + 7x - 30

d)

x2 + 13x + 30

33.

(x + 5)(x + 4)

a)

x2 + x + 20

b)

x2 + 20x + 9

c)

x2 + 9x + 20

d)

x2 - 9x + 54

34.

Multiply

(4x+3)(2x-1)

a)

8x2-2x-3

b)

8x-3

c)

8x2+6x-3

d)

8x2+2x-3

35.

Simplify the expression

(x - 3)2

a)

x2 - 6x + 9

b)

x2 + 9

c)

x2 + 6x - 9

d)

x2 + 6x + 9

36.
Find the volume.
a)
87 cm2
b)
78 cm2
c)
87 cm3
d)
78 cm3
37.

Find the volume of the rectangular prism with length (x + 2), width (x - 4), and height (2x + 1).


HINT:
V=l×w×hV=l\times w\times h  

a)

x28xx^2-8x  

b)

x22x8x^2-2x-8  

c)

2x33x218x82x^3-3x^2-18x-8  

d)

2x382x^3-8  

38.
5xy(6x-y)
a)
11x2 - y2
b)
30x2 + y2
c)
30x2y - 5xy2
d)
11x2y + 5x2y2
39.
Multiply  7x2y3 (2x4y5+6xy3)
a)
14x8y15+42x2y9
b)
9x6y8+13x3y6
c)
14x6y8+42x3y6
d)
14x6y8+42x2y6
40.

Find the volume of the rectangular prism.

a)

2x3+9x2182x^3+9x^2-18

b)

x3+9x2+18xx^3+9x^2+18x

c)

x32x+5x^3-2x+5

41.

FIND THE AREA OF THE RECTANGULAR PRISM.

a)

3x28x3x^2-8x

b)

3x2+8x3x^2+8x

c)

3x 83x\ -8

d)

3x2+83x^2+8

42.

Find the area of the rectangular prism.

a)

29x2329x-23

b)

29x2+2329x^2+23

c)

9x2+239x^2+23

d)

29x+2329x+23

43.

Find the volume of the shape.

a)

24x352x28x+2024x^3-52x^2-8x+20

b)

24x3+52x28x2024x^3+52x^2-8x-20

c)

24x3+52x2+8x2024x^3+52x^2+8x-20

44.

What is the perimeter of the rectangle?

a)

x²+8x-5

b)

2x²+16x-10

c)

2x²+10x-8

d)

6x-2

45.
(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
46.

What is the Perimeter?

a)

3x - 3 inches

b)

6x - 6 inches

c)

3x - 6 inches

d)

6x - 3 inches

47.

If a rectangular field has a length of x+7x+7  and a width of  4x24x-2  ,  write an expression for the length of fencing to go around the outer edges.

a)

5x+55x+5  

b)

10x+1010x+10  

c)

Why do we need fences?

d)

4x2144x^2-14  

48.

Choose the correct answer below.

a)

2x23x+14-2x^2-3x+14

b)

7x4+9x34x23x47x^4+9x^3-4x^2-3x-4

c)

7x5x4+10x3x77x^5-x^4+10x^3-x^7

d)

3x4+4x36x2+63x^4+4x^3-6x^2+6

49.

Choose the correct answer below.

a)

P=6x2+18x10P=6x^2+18x-10

b)

P=3x2+9x5P=3x^2+9x-5

c)

P=12x5P=12x-5

d)

P=24x230P=24x^2-30

50.
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)
4x- 2x - 12
51.
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
52.

Find the perimeter of the triangle

a)

4x+644x+64

b)

4x2+644x^2+64

c)

3x+503x+50

d)

3x2+503x^2+50

53.

Find the perimeter of a rectangle with a length of  5x65x-6  and a width of  3x23x^2  

a)

6x2+10x126x^2+10x-12  

b)

6x4+10x2126x^4+10x^2-12  

c)

6x2+10x6x^2+10x  

d)

6x2+10x+126x^2+10x+12  

54.


a)

23x + 36

b)

6x2+10x+246x^2+10x+24  

c)

9x2+15x+369x^2+15x+36  

d)

9x6+15x3+369x^6+15x^3+36  

55.
a)

x+2x+2

b)

4x2+44x^2+4

c)

4x2+204x^2+20

d)

4x2+16x+44x^2+16x+4

56.
What is the GCF? 5x2+20x
a)
5
b)
x
c)
5x
d)
20x
57.
What is the GCF? 3x2-2x
a)
3
b)
3x
c)
x
d)
2
58.
What is the GCF? 2x2-4x+8
a)
2x
b)
2
c)
x
d)
1
59.
Factor:
10x + 15
a)
100x + 150
b)
10(x + 5)
c)
1(10x + 15)
d)
5(2x + 3)
60.
Factor by using GCF:
8n3 + 2n2
a)
2n2(4n-1)
b)
2n2(4n + 1)
c)
n2(8n+2)
d)
3n(4n+1)
61.
Factor:
2n3+16n+12
a)
2n(n3+24n+6)
b)
2(n3+8n+6)
c)
2n(n3+8n+6)
d)
3(n3+8n+6)
62.

Factor out the GCF


3x3 + 9x

a)

3x (x2 + 3)

b)

3x ( x3 + 9)

c)

x (3x2 + 9)

d)

3x (x3 + 3x)

63.
Factor by GCF:
6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
not factorable
64.
Factor:
10a4+16a+10a2
a)
2a(5a3+8+5a)
b)
2a4(5a+8a2+5a3)
c)
2a4(10+16a+40a2)
d)
3a3(5+8a+a2)
65.
39y5 + 12y- 3y3
a)
3y(13y4 + 4y3 - y2)
b)
3y3(13y2 + 4y - 1)
c)
y3(39y2 + 12y - 3)
66.
63x4 - 7x2 + 28x
a)
7x(9x2 - 7 + 4x)
b)
x(63x3 - 7x + 28)
c)
7x(9x3 - x + 4)
67.
Factor
-10xy9z + 8y3z5
a)

-2y4z(20xy6 - 4z4)

b)

-2y3z(5xy6 - 4z4)

c)

-2y3z(5xy6z - 4z5)

d)

-2y3z(5xy6z - 8z4)

68.
what is the greatest common factor of the three terms in the expression
-24m3n5p + 24mn4p2 + 4mn5
a)
4mn
b)
24mn4
c)
4mn4
d)
4mn4p
69.
Factor
49m3q2 - 35mq2 - 42m3q4p2
a)
7mq2(7m2q - 5 - 6m2p2q2)
b)
7mq2(7m3q - 5mq - 6m2p2q3)
c)
7mq2(7m2 - 5 - 6m2p2q2)
d)
7mq2(7mq - 5 - 6m2pq2)
70.
Factor
-8x2y2 + 32yz + 40y
a)

-8z(x2 - 4z - 1)

b)

-8y(4x2y2 - 16yz - 20y)

c)

-8y(x2y - 4z - 5)

d)

-4y (2x2y - 40z - 10)

71.
Factor
-64a4b - 96ab3 + 8a
a)

-8a(8a3b + 12b3 - a)

b)

-8ab(8a3 - 12b2 - 1)

c)
8a(8a3b - 12b2 + 1)
d)

-8a(8a3b + 12b3 - 1)

72.
Factor
-84x4 + 72xy2 + 12xy
a)

-12x(7x3 - 6y2 - y)

b)

-6x(7x3 - 2y2 - 1)

c)

-4x(7x3 - 6y2 - y)

d)

-12x(7x2 - 6y2 - 1)

73.
Find the GCF of 64 and 144
a)
8
b)
6
c)
16
d)
2
74.

What is the GCF of 18 and 24?

a)

3

b)

6

c)

8

d)

9

75.
What is the GCF of 4 and 12?
a)
3
b)
1
c)
6
d)
4
76.
What is the greatest factor of 28 and 49?
a)
1
b)
2
c)
7
d)
12
77.
Factor
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
78.
What is the GCF of the trinomial?
3x- 9x -120
a)
3
b)
2
c)
6
d)
9
79.
Factor:
10x + 15
a)
100x + 150
b)
10(x + 5)
c)
1(10x + 15)
d)
5(2x + 3)
80.

Factor:

7x+497x+49  

a)

7x(x+49)7x\left(x+49\right)  

b)

7(x+7)7\left(x+7\right)  

c)

49(x+7)49\left(x+7\right)  

d)

x(7+49)x\left(7+49\right)  

81.

Factor:
5a2155a^2-15  

a)

5(a215)5\left(a^2-15\right)  

b)

5a(a15)5a\left(a-15\right)  

c)

5(a23)5\left(a^2-3\right)  

d)

5a(a3)5a\left(a-3\right)  

82.

6440ab64-40ab  

Factor:

a)

4(1610ab)4\left(16-10ab\right)  

b)

4ab(1610ab)4ab\left(16-10ab\right)  

c)

8ab(85ab)8ab\left(8-5ab\right)  

d)

8(85ab)8\left(8-5ab\right)  

83.

36a2+24a36a^2+24a  

Factor:

a)

12a(3a+2)12a\left(3a+2\right)  

b)

a(36a+24)a\left(36a+24\right)  

c)

12(3a2+2a)12\left(3a^2+2a\right)  

d)

a2(36+24a)a^2\left(36+24a\right)  

84.

10x2+5x10x^2+5x  

a)

5(2x2+5)5\left(2x^2+5\right)  

b)

5x(2x+1)5x\left(2x+1\right)  

c)

10x2(1x+2x)10x^2\left(1x+2x\right)  

d)

5x2(2x2+1)5x^2\left(2x^2+1\right)  

85.
Factor out the GCF:
12x + 6
a)
6(2x + 1)
b)
3(4x + 2)
c)
6x(2x + 1)
d)
2(6x + 3)
86.
Factor out the GCF:
10x³ - 15x
a)
x(10x² - 15)
b)
5x(2x² - 3)
c)
5(2x³ - 3x)
d)
5x²(10x - 3)
87.

Factor 4b5+4b3+16b2

a)

4b3(b4+b2+4b)

b)

4b3(b4+4b+5)

c)

4(b5+b3+4b2)

d)

4b2(b3+b+4)

88.

Which answer choice lists all the factors for 27?

a)

3, 9

b)

1, 3, 9, 27

c)

1, 3, 6, 9, 12, 27

89.
Factor
10x2 + 15x-5
a)
25(10x3+45x-15)
b)
5(2x3 + 3x2-x)
c)
x(10x3+15x-5)
d)
5(2x2+3x-1)
90.
7r3-8r2+42r-48
a)
(r2+6)(7r+8)
b)
(r2+6)(7r-8)
c)
(r2+6)(r2+8)
d)
(r2+6)(7r+6)
91.
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)
92.
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)
93.
x3-5x2+5x-25
a)
(x2-5)(x-5)
b)
(x2+5)(x-5)
c)
(x2+5)(x+5)
d)
(x2-1)(x-25)
94.
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)
95.
Factor by grouping:
x³+7x²-2x-14
a)
(x²-2)(x-7)
b)
(x²+2)(x-7)
c)
(x²+2)(x+7)
d)
(x²-2)(x+7)
96.
x2 - 9
a)
(x + 3) (x - 3)
b)
(x - 3) (x - 3)
c)
(x + 3) (x - 6)
d)
Can't factor using Diff. of Squares
97.
4a2 - 25
a)
(2a + 5) (2a - 5)
b)
(2a - 5) (2a - 5)
c)
(x + 5) (x - 5)
d)
Can't factor using Diff. of Squares
98.
4m2 + 49
a)
(2m + 7) (2m - 7)
b)
(2m - 7) (2m - 7)
c)
(m + 7) (m - 7)
d)
Can't factor using Diff. of Squares
99.
q2 - 121
a)
(q + 11) (q - 11)
b)
(q - 11) (q - 11)
c)
(q + 11) (q + 11)
d)
Can't factor using Diff. of Squares
100.
r4 - q4
a)
(r2 + q2) (r2 - q2)
b)
(r2 - q2) (r2 - q2)
c)
(r + q) (r - q)
d)
Can't factor using Diff. of Squares
101.
9n2 + 1
a)
(3n + 1) (3n - 1)
b)
(3n - 1) (3n - 1)
c)
(n + 3) (n - 3)
d)
Can't factor using Diff. of Squares
102.
r2 - 9t2
a)
(r + 3t) (r - 3t)
b)
(r - 3t) (r - 3t)
c)
(3r + t) (3r - t)
d)
Can't factor using Diff. of Squares
103.
w4 - 625
a)
(w2 + 25) (w2 - 25)
b)
(w2 - 25) (w2 - 25)
c)
(w + 25) (w - 25)
d)
Can't factor using Diff. of Squares
104.

x2 + 81

a)

( x - 9 ) ( x - 9 )

b)

( x - 9 ) ( x + 9 )

c)

( x + 9 ) ( x + 9 )

d)

Can't factor using Diff. of Squares

105.
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)
106.

The solutions of the quadratic equation

x2 - 9 =0 are

a)

x = 3 only

b)

x = 3 or x = -3

c)

x = -3 only

d)

x = -9 or x = 9

107.

The solutions of the quadratic equation

x2 - 49 =0 are

a)

x = 7 only

b)

x = 7 or x = -7

c)

x = -49 only

d)

x = -49or x = 49

108.

Solve by factoring this quadratic equation

x2 - 15x + 50 =0

a)

x =-15 or 50

b)

x = 10 or x = 5

c)

x = -10 or x=-5

d)

x = 0 or x = 10

109.

Solve by factoring this quadratic equation

4x2 - 5x - 6 =0

a)

x =-2 or -4/3

b)

x = -3/4 or x = 2

c)

x = -2 or x=3/4

d)

x = 4 or x = 5

110.

Choose the correct factored form for the quadratic expression:

x2 + 5x - 6

a)

(x - 6)(x + 1)

b)

(x + 6)(x - 1)

c)

(x - 2)(x - 3)

d)

(x + 2)(x + 3)

111.

Choose the correct factored form for the quadratic expression:

x2 - 12x + 27

a)

(x - 3)(x + 4)

b)

(x - 3)(x - 4)

c)

(x - 9)(x - 3)

d)

(x + 9)(x + 3)

112.

Carefully factor and solve on paper. Then choose the correct solutions.

b² + 12b + 35 = 0

a)

b = 5 and b = 7

b)

b = -5 and b = -7

c)

b = -5 and b = 7

d)

b = 5 and b = -7

113.
Factor: 
x- 225
a)
( x + 15) ( x + 15) 
b)
Prime
c)
( x - 15) ( x + 15) 
d)
( x - 15) ( x - 15) 
114.

Solve: x2+64=0x^2+64=0  

a)

x= +/- 8

b)

x= +/- 8i

c)

x= +/- 4

d)

x= +/- 64i

115.

Factor the quadratic expression completely.

15x24x4=15x^2-4x-4=  

(a)  

116.

Factor the quadratic expression completely.

8x218x5=8x^2−18x−5=  

(a)  

117.

Factor the quadratic expression completely.

24x2+34x+12=24x^2+34x+12=  

a)

(x+9)(x+8)

b)

(4x+3)(3x+2)

c)

2(4x+3)(3x+2)

d)

2(x+8)(x+9)

118.

Reduce or simplify 12/18

a)

2/3

b)

4/5

c)

6/12

d)

2/8

119.
Which fraction is equivalent to 2/6?
a)
1/3
b)
2/3
c)
1/4
d)
2/4
120.
Which fraction is equal to 4/4?
a)
3/6
b)
4/6
c)
6/6
d)
8/6
121.
Which fraction is equivalent to 4/6?
a)
1/3
b)
2/3
c)
1/6
d)
2/6
122.
Which fraction is equal to 1 whole? 
a)
0/3
b)
1/3
c)
2/3
d)
3/3
123.
Reduce:  6/15
a)
2/5
b)
3/5
c)
4/9
124.
Simplify the fraction: 
15/12
a)
4/3
b)
5/4
c)
5/3
d)
3
125.
Reduce the fraction:
15/30
a)
1/2
b)
5/10
c)
3/15
d)
3/15
126.
Find an equivalent fraction:
24/6
a)
12/3
b)
12/4
c)
4/12
d)
3/12
127.
Reduce the fraction:
8/24
a)
1/12
b)
1/3
c)
2/12
d)
4/8
128.

Simplify

(8 )(-2/6)

a)

2 16/6

b)

-16/6

c)

16/48

d)

8/3

129.
Simplify:
(-1)(a + b - 3)
a)
a - b + 3
b)
-a - b + 3
c)
a + b + 3
130.

-1/2(-8x + 2)

a)

4x + 1

b)

16x + 1

c)

-4x + 2

d)

4x - 1

131.
Simplify:1/3(18b - 39)
a)
-13 - 6b
b)
54b - 13
c)
6b - 13
d)
6b + 13
132.

Simplify:(-39n - 52p)(-1/13)

a)

3n + 4p

b)

3n - 4p

c)

-3n + 4p

d)

-3n - 4p

133.

Solve the equation by factoring.

a)

x = {3,8}

b)

x = {-3,8}

c)

x = {3,-8}

d)

x = {-3,-8}

134.

Solve the equation by factoring.

a)

x = {1}

b)

x = {-1}

c)

x = { }

d)

no solution

135.

Solve the equation by factoring.

a)

x = {-5,-3}

b)

x = {5,-3}

c)

x = {-5,3}

d)

x = {5,3}

136.

How many solutions can a quadratic have?

a)

1 solution

b)

3 solutions

c)

0 solutions

d)

2 solutions

137.

What can the roots to a quadratic equation be called?

a)

zeros

b)

solutions

c)

x-intercepts

d)

none of the choices

138.

What is the quadratic formula?

a)
b)
c)
d)
139.

What is the axis of symmetry formula?

a)

y = mx+b

b)

y = ax2+bx+c

c)

b2 - 4ac

d)

x = -b/2a

140.

Solve the equation using the quadratic formula.


x2 + 7x = x - 10

a)

-6/2 + √4

b)

-6/2 - √4

c)

no solution

d)

141.

Solve the equation using the quadratic formula.


4x2 +9x = 12x

a)

x = {0, 3/4}

b)

x = {0, -3/4}

c)

x = {0, 4/3}

d)

no solution

142.

Use the discriminant to find the number of solutions for the following equation.


y = x2 +10x + 25

a)

2 solutions

b)

1 solution

c)

0 solutions

143.

Use the discriminant to find the number of solutions for the following equation.


y = -3x2 +5x - 8

a)

2 solutions

b)

1 solution

c)

0 solutions

144.

Use the discriminant to find the number of solutions for the following equation.


y = 4x2 - 9

a)

2 solutions

b)

1 solution

c)

0 solutions

145.

Which value is the vertex?

a)

(-4, 0)

b)

(-1, -9)

c)

(0, -8)

d)

(2, 0)

146.

Which value is the y-intercept?

a)

(-4, 0)

b)

(-1, -9)

c)

(0, -8)

d)

(2, 0)

147.

What are the zeros of this graph?

a)

x = {-4, 2}

b)

(-4, 0 ) and (2, 0)

c)

x = {-1, 0}

d)

(-1, 9 ) and (0, -8)

148.

Does this graph have a maximum or a minimum?

a)

maximum

b)

minimum

c)

I am not sure.

d)

neither

149.

Does this graph have a maximum or a minimum?

a)

maximum

b)

minimum

c)

I am not sure.

d)

neither

150.

Does this graph have any roots?

a)

yes

b)

no

c)

I am not sure.

151.

Does this graph have a y-intercept?

a)

yes

b)

no

c)

I am not sure.

152.

What is the equation for standard form?

a)

y = x2 + bx + c

b)

y = ax2 + bx + c

c)

y = mx + b

d)

Ax + By = C

153.
a)

{49,-49}

b)

{8,-8}

c)

{7,-7}

d)

No Solution

154.
a)

{12.88,-12.88}

b)

{13.22,-13.22}

c)

{16}

d)

No Solution

155.
a)

{6.78,-6.78}

b)

{8,-8}

c)

{7,-7}

d)

No Solution

156.
Solve using square roots.
a)
±81
b)
±9
c)
±3
d)
No real solution
157.
Solve using square roots.
a)
± 1/4
b)
± 9/36
c)
± 1/2
d)
No real solution
158.

Find the zero(s) by taking square roots.
x27=0x^2-7=0  

a)

{7}\left\{7\right\}  

b)

{7}\left\{-7\right\}  

c)

{± 7}\left\{\pm\ 7\right\}  

d)

{±7}\left\{\pm\sqrt{7}\right\}  

159.
x2 - 15 = 0
a)
{15, -15}
b)
{3.87, -3.87}
c)
{7.5, -7.5}
d)
No Solution
160.
3.  Solve the equation
4x- 25 = 0
a)
5/2, -5/2
b)
5/2, 5/2
c)
-5/2, -5/2
d)
-5/2, 5/2
161.
-5x2 = -50
a)
± 5
b)
± 10
c)
± √10
d)
-10
162.
x2 + 4 = 68
a)
± 8
b)
± √8
c)
8
d)
± 64
163.

Solve by taking square roots:

3 + r2 = 12

a)

r = ±12\pm\sqrt{12} - 3

b)

r = 3, r = - 3

c)

r = -3

d)

r = 3

164.
Solve using square roots.
a)
±72
b)
±12
c)
12
d)
No real solution