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Total questions: 134

Worksheet time: 5hrs 9mins

Name
Class
Date
1.

The function f(x) = 2x^3 + 3x^2 - 5x - 2 is:

a)
exponential function
b)
linear function
c)
quadratic function
d)

Cubic Function

2.

The equation of a circle with center (2, -3) and radius 5 is:

a)
(x-2)^2 + (y+3)^2 = 20
b)
(x-2)^2 + (y+3)^2 = 25
c)
(x+2)^2 + (y-3)^2 = 25
d)
(x-2)^2 + (y+3)^2 = 30
3.

Find the vertex using complete the square method for y = 2x^2 - 5x + 9

a)

(5/4, -5)

b)

(2/5, 37/4)

c)

(5/2, 5/4)

d)

(5/4, 47/8)

4.

The value of (sin²θ + cos²θ) is:

a)
1
b)
-1
c)
2
d)
0
5.

Solve the equation: 4x4+18 = 17x2\frac{4}{x^4}+18\ =\ \frac{17}{x^2}

a)

±23\pm\frac{2}{3}

b)

±2\pm2

c)

±  22 \pm\ \frac{\sqrt{\ 2}}{2}\

d)

±3\pm\sqrt[]{3}

6.

Find a and b

a)

a=1 b=-2

b)

a=5 b=-2

c)

a=0 b=3

d)

a=1 b=-5

7.
a)

translation (4 0), vertical stretch factor 2

b)

translation (4 0), horizontal stretch factor 2

c)

translation (5 0), vertical stretch factor 2

d)

translation (5 0), horizontal stretch factor 2

8.
a)

y= x2+3x +3x^2+3x\ +3

b)

x23x 1-x^2-3x\ -1

c)

x2  6x x^2\ -\ 6x\

d)

y= x2+6x8-x^2+6x-8

9.

What is the range of y= x^2 -5x +7?

a)
y > 3/4
b)
y = 3/4
c)
y ≥ 3/4
d)
y ≤ 3/4
10.

Find the inverse of y = 2x^2 - 5x

a)
y = (5 ± √(25 - 8x)) / 4
b)
y = (5 ± √(25 + 8x)) / 4
c)
y = (5 ± √(25 - 8x)) / 2
d)
y = (5 ± √(25 + 8x)) / 2
11.

A is the point (4, -6), B is point (12, 10). Find the equation of the perpendicular bisector

a)
y = 1/2x + 6
b)
y = -2x + 6
c)
y = -1/2x - 6
d)
y = -1/2x + 6
12.

The line ax - 2y = 30 passes through the points A (10, 10) and B (b, 10b) where a and b are constants.

Find the coordinates of the midpoint of AB (-2, -20)

a)

(4, -5)

b)

(6, 15)

c)

(4, 15)

d)

(6, -5)

13.

Find the set of values for 9x^2 -15x <6

a)

-1/3 < x < 2

b)
x < 0
c)

x < -1/3 and x > 2

d)

x > -1/3

14.

Find the set of values such that y = 2x + k meets the curve y = 1 + 2kx - x^2 at two distinct points

a)

k < 1 or k = 2

b)

k > 1 and k < 2

c)

k < 1 or k > 2

d)

k = 1 or k = 2

15.

b^2 - 4 ac < 0 represents:

a)

One solution

b)

Two solutions

c)

No solutions

d)

I don't know

16.

Express y = 10x - x^2

as

a - (x-b)^2

a)
-(x - 4)^2 + 25
b)
-(x - 5)^2 + 25
c)
-(x - 5)^2 + 30
d)
-(x - 5)^2 + 20
17.

A = (-3, 6)

B = (9, -10)

A circle passes through A and B and has its center on the line x=15.

Find the equation of the circle

a)

(x + 15)^2 + (y - 7)^2 = 388

b)
(x - 15)^2 + (y - 2)^2 = 388
c)
(x + 15)^2 + (y + 2)^2 = 388
d)

(x - 15)^2 + (y - 7)^2 = 325

18.

Find a and b

a)

a = 7 b= 12

b)

a = 12 b = 7

c)

a = -1 b=-4

d)

a = -4 b= -1

19.

Which topic are you most confident in? (all correct)

a)

Quadratics

b)

Functions

c)

Lines and Circles

d)

Radians

20.

How to convert radians to degree

a)

multiply by 180/pi

b)

multiply by pi/180

c)

multiply pi

d)

divide pi

21.

Given image....

a)

A

b)

B

c)

C

d)

D

22.

HCF of 8, 9, 25 is

a)

8

b)

10

c)

500

d)

1

23.

The sum of a rational and irrational number is

(a)  

24.

The product of a non-zero rational and an irrational number is always

(a)  

25.

If one zero of the quadratic polynomial x² + 3x + k is 2, then the value of k is

a)

10

b)

-10

c)

5

d)

-5

26.

The number of polynomials having zeroes as -2 and 5 is

a)

1

b)

2

c)

Less than 3

d)

More than 3

27.

The perimeter of a circle having radius 5cm is equal to:

a)

30.5 cm

b)

314 cm

c)

31.4 cm

d)

40 cm

28.

What is the CSA of sphere?

a)

3 π r2+ π r2

b)

2π r2

c)

π r2

d)

π r2+ 2π r2

29.

The probability of event equal to zero is called;

a)

Unsure Event

b)

Sure Event

c)

Impossible Event

d)

Possible Event

30.

If P(E) = 0.07, then what is the probability of ‘not E’?

a)

0.93

b)

0.95

c)

0.89

d)

0.90

31.

The Probability of an impossible event is

(a)  

32.
a)

A

b)

B

c)

C

d)

D

33.

The pair of equations 3x – 5y = 7 and – 6x + 10y = 7 have

a)

Infinite Solutions

b)

No Solutions

c)

Unique Solution

d)

Two Solutions

34.

sin 2B = 2 sin B is true when B is equal to

a)

90°

b)

60°

c)

30°

d)

35.

If sin θ + sin² θ = 1, then cos² θ + cos4 θ = ..

a)

-1

b)

1

c)

0

d)

2

36.

Find the derivative of 3x23x^2  . 

a)

6x

b)

6xdydx6x\frac{\text{d}y}{\text{d}x}  

c)

6x26x^2  

d)

x

37.

Find the derivative of 3y23y^2  . 

a)

6y

b)

6ydydx6y\frac{\text{d}y}{\text{d}x}  

c)

6y26y^2  

d)

y

38.

What is the derivative of 1?

a)

3

b)

2

c)

1

d)

0

39.

Find the derivative of x.

a)

1

b)

2

c)

3

d)

0

40.

What is the direvative of 3(x2+4)23\left(x^2+4\right)^2  ?

a)

12x2+4812x^2+48  

b)

Cannot be

c)

12x3+48x12x^3+48x  

d)

6x2+246x^2+24  

41.

What is the derivative of 3x2y=03x^2y=0  ?

a)

3x23x^2  

b)

6x6x  

c)

6xy3x2\frac{6xy}{3x^2}  

d)

6xy3x2-\frac{6xy}{3x^2}  

42.

What rule is used to find the derivative of x2x+2\frac{x^2}{x+2}  ?

a)

Quotient rule

b)

Chain Rule

c)

Product rule

d)

Non of the choices

43.

What is the denominator of the Quotient rule in defferentiation?

a)

v2v^2  

b)

u2u^2  

c)

(v)2\left(v'\right)^2  

d)

(u)2\left(u'\right)^2  

44.

Find dydx\frac{\text{d}y}{\text{d}x}  in the equation x2+y2 = 5x^2+y^2\ =\ 5  .

a)

yx\frac{y}{x}  

b)

xy\frac{x}{y}  

c)

1

d)

0

45.

is a technique for differentiating functions that are not given in the usual form  but in a more complicated form that makes it difficult or impossible to express  explicitly in terms of.

a)

Normal Differentiation

b)

Explicit Differentiation

c)

Implicit Differentiation

d)

Implicit Derivative

46.
What is an antiderivative?
a)
The opposite of a derivative
b)
The same as a derivative
c)
A second derivative
d)
It always represents velocity.
47.
What does C represent in an antiderivative?
a)
A variable
b)
A constant
c)
None of these
d)
Unknown
48.

6x(x+2)dx\int6x\left(x+2\right)dx  

a)

6x2+12x+C6x^2+12x+C  

b)

x2 2x+Cx^{2\ }-2x+C  

c)

3x2+6x+C3x^2+6x+C  

d)

2x3+6x2+C2x^3+6x^2+C

49.

If y = axnax^n  , then y dx =\int_{ }^{ }y\ dx\ =  

a)

axn+1n+1\frac{ax^{n+1}}{n+1}  

b)

axn1n1+ c\frac{ax^{n-1}}{n-1}+\ c  

c)

axn+1n+ c\frac{ax^{n+1}}{n}+\ c  

d)

axn+1n+1+ c\frac{ax^{n+1}}{n+1}+\ c  

50.

Find indefinite integral for 1e5x dx\int_{ }^{ }\frac{1}{e^{5x}}\ dx  

a)

15e5x + c\frac{1}{5}e^{5x}\ +\ c  

b)

5e4x + c-5e^{4x}\ +\ c  

c)

e5x5+ c\frac{e^{-5x}}{-5}+\ c  

d)

e4x4+ c\frac{e^{-4x}}{-4}+\ c  

51.
Find the area under a curve defined by the equation 5x4+3x+7 between the x values 0 and 4.
a)
1200
b)
1/12
c)
1134
d)
1076
52.
Another word for 'integral' is .. .
a)
Constant
b)
Derivative
c)
Antiderivative
d)
Theorem
53.

 Approximate the area bounded by  f(x)=6x23f\left(x\right)=6x^2-3  at the closed interval [0.4,0.4]\left[-0.4,0.4\right]  .

a)

-2.14

b)

2.14

c)

21

d)

30

54.

what is the definition of a indefinite integral of algebraic function ?

(a)  

55.

If a function is known to be f(x)=(8x)3f\left(x\right)=\left(8x\right)^3 , then the anti-derivative of that function is...

a)

2x2x  

b)

2x42x^4  

c)

88  

d)

x3x^3  

56.

What can integration be used for?

a)

To calculate the profit and loss in business using graphs

b)

To determine the speed or distance covered by something

c)

To find areas, volumes, central points

d)

To identify variation in temperatures

57.

(4x22x+3)dx=?\int\left(4x^2-2x+3\right)dx=?  

a)

x2(4x31)+3x+Cx^2\left(\frac{4x}{3}-1\right)+3x+C  

b)

x2(3x41)+3x+Cx^2\left(\frac{3x}{4}-1\right)+3x+C  

c)

x2(2x31)3x+Cx^2\left(\frac{2x}{3}-1\right)-3x+C  

d)

x2(3x21)3x+Cx^2\left(\frac{3x}{2}-1\right)-3x+C  

58.

(5x28x+5)dx=?\int\left(5x^2-8x+5\right)dx=?  

a)

5x444x2+5x+C\frac{5x^4}{4}-4x^2+5x+C  

b)

5x334x2+5x+C\frac{5x^3}{3}-4x^2+5x+C  

c)

5x33+4x2+5x+C\frac{5x^3}{3}+4x^2+5x+C  

d)

5x338x2+5x+C\frac{5x^3}{3}-8x^2+5x+C  

59.

24(x3+8x12)dx=?\int_2^4\left(x^3+8x-12\right)dx=?  

a)

132

b)

84

c)

36

d)

-12

60.

(7sinx)dx=?\int\left(7\sin x\right)dx=?  

a)

7cosx+C-7\cos x+C  

b)

7sinx+C-7\sin x+C  

c)

7cosx+C7\cos x+C  

d)

7sinx+C7\sin x+C  

61.

(6cos3θ)dθ=?\int\left(6\cos3\theta\right)d\theta=?  

a)

6sin3θ+C-6\sin3\theta+C  

b)

6sin3θ+C6\sin3\theta+C  

c)

2sin3θ+C-2\sin3\theta+C  

d)

2sin3θ+C2\sin3\theta+C  

62.

((1+4x2)x)dx=?\int\left(\left(1+4x^2\right)x\right)dx=?  

a)

x2+x4+Cx^2+x^4+C  

b)

x22+x3+C\frac{x^2}{2}+x^3+C  

c)

x22+x4+C\frac{x^2}{2}+x^4+C  

d)

x+4x33+Cx+\frac{4x^3}{3}+C  

63.

(3x2+xxx2)dx=?\int\left(\frac{3x^2+x\sqrt{x}}{x^2}\right)dx=?  

a)

3x+12x3x+\frac{1}{2}\sqrt{x}  

b)

3x+2x3x+2\sqrt{x}  

c)

3x+12x+C3x+\frac{1}{2}\sqrt{x}+C  

d)

3x+2x+C3x+2\sqrt{x}+C  

64.

(5x+3x28x3)=?\int\left(\frac{5}{x}+\frac{3}{x^2}-\frac{8}{x^3}\right)=?  

a)

5+3x4x2+C5+\frac{3}{x}-\frac{4}{x^2}+C  

b)

53x+4x2+C5-\frac{3}{x}+\frac{4}{x^2}+C  

c)

5ln(x)3x+4x2+C5\ln\left(x\right)-\frac{3}{x}+\frac{4}{x^2}+C  

d)

5ln(x)+3x4x2+C5\ln\left(x\right)+\frac{3}{x}-\frac{4}{x^2}+C  

65.

Find the area of the shaded region.

a)

636units2\frac{63}{6}units^2

b)

523units2\frac{52}{3}units^2

c)

323units2\frac{32}{3}units^2

d)

253units2\frac{25}{3}units^2

66.

Which of the following is the indefinite integral of x32+7\frac{x^3}{2}+7 ?

a)

3x22\frac{3x^2}{2}  

b)

3x22+7x+c\frac{3x^2}{2}+7x+c  

c)

x48+7x+c\frac{x^4}{8}+7x+c  

d)

x48+c\frac{x^4}{8}+c  

67.

Integrate x\sqrt{x} with respect to x

a)

x12+cx^{\frac{1}{2}}+c  

b)

12x12+ c\frac{1}{2}x^{-\frac{1}{2}}+\ c  

c)

23x32+ c\frac{2}{3}x^{\frac{3}{2}}+\ c  

d)

32x32+ c\frac{3}{2}x^{\frac{3}{2}}+\ c  

68.

 1x+ 1x2 dx\int_{ }^{ }\ \frac{1}{x}+\ \frac{1}{x^2}\ dx  

a)

x1 + x2+ cx^{-1}\ +\ x^{-2}+\ c  

b)

x0  x1+ cx^0\ -\ x^{-1}+\ c  

c)

lnx+ x1+ c\ln x+\ x^{-1}+\ c  

d)

lnx x1+ c\ln x-\ x^{-1}+\ c  

69.

5x4dx\int5x^4dx  

a)

x5x^5  

b)

54x5+C\frac{5}{4}x^5+C  

c)

x5+Cx^5+C  

d)

20x320x^3  + C

70.

(x22x)dx\int\left(x^2-2x\right)dx  

a)

13x3x2+C\frac{1}{3}x^3-x^2+C  

b)

x2 2x+Cx^{2\ }-2x+C  

c)

2x22x-2  

d)

13x3x2\frac{1}{3}x^3-x^2

71.

6x(x+2)dx\int6x\left(x+2\right)dx  

a)

6x2+12x+C6x^2+12x+C  

b)

x2 2x+Cx^{2\ }-2x+C  

c)

3x2+6x+C3x^2+6x+C  

d)

2x3+6x2+C2x^3+6x^2+C

72.

(6x1)dx\int\left(6\sqrt{x}-1\right)dx  

a)

6x32+x+C6x^{\frac{3}{2}}+x+C  

b)

4x32x+C4x^{\frac{3}{2}}-x+C  

c)

3x12x+C3x^{-\frac{1}{2}}-x+C  

d)

I didn't look at my notes to see how to do this one.

73.

(1x2+6x3)dx\int\left(\frac{1}{x^2}+\frac{6}{x^3}\right)dx  

a)

x13x2+C-x^{-1}-3x^{-2}+C  

b)

x33+6x44+C\frac{x^{-3}}{-3}+\frac{6x^{-4}}{-4}+C  

c)

x13x2-x^{-1}-3x^{-2}  

d)

x3x2+C-x-3x^2+C  

74.

(5x27x+6)dx\int\left(5x^2-7x+6\right)dx  

a)

53x72x+6x+C\frac{5}{3}x-\frac{7}{2}x+6x+C  

b)

x+x+x+x+x+Cx+x+x+x+x+C  

c)

x33x2+6x+Cx^3-3x^2+6x+C  

d)

53x372x2+6x+C\frac{5}{3}x^3-\frac{7}{2}x^2+6x+C  

75.

4sin(x)dx\int4\sin\left(-x\right)dx  

a)

4cos(x)+C4\cos\left(x\right)+C  

b)

4sin(x)+C-4\sin\left(-x\right)+C  

c)

4cos(x)+C4\cos\left(-x\right)+C  

d)

4cos(x)+C-4\cos\left(-x\right)+C  

76.

(5x316e4x+1x)dx\int\left(5\sqrt{x^3}-16e^{-4x}+\frac{1}{x}\right)dx  

a)

2x52+4x4x+lnx+C2x^{\frac{5}{2}}+4x^{-4x}+\ln\left|x\right|+C  

b)

5x134e4x+1+C5x^{\frac{1}{3}}-4e^{-4x}+1+C  

c)

52x3216e4x+lnx+C\frac{5}{2}x^{\frac{3}{2}}-16e^{-4x}+\ln\left|x\right|+C  

d)

Got lazy with fake answers

77.

8x3dx\int8x^{-3}dx  

a)

2x4+C-2x^{-4}+C  

b)

4x3+C4x^{-3}+C  

c)

83x2\frac{8}{-3}x^{-2}  

d)

4x2+C-4x^{-2}+C  

78.

(x11)dx\int\left(x^{-1}-1\right)dx  

a)

lnxx+C\ln\left|x\right|-x+C  

b)

x22x+C\frac{x^{-2}}{-2}-x+C  

c)

lnx1+C\ln\left|x\right|-1+C  

d)

1x+C1-x+C  

79.

0dx\int0dx  

a)

1x+C\frac{1}{x}+C  

b)

Not PossibleNot\ Possible  

c)

x+Cx+C  

d)

CC  

80.

Find the answer of ∫x2+4x dx?

a)

X3/2+2x2

b)

X2+4x

c)

x2/2 +3x+C

d)

x3 /3+2x2+C

81.

Integrate x13dx\int_{ }^{ }x^{\frac{1}{3}}dx  

a)

=43x43+c=\frac{4}{3}x^{\frac{4}{3}}+c  

b)

=32x23+c=\frac{3}{2}x^{\frac{2}{3}}+c  

c)

=13x23+c=\frac{1}{3}x^{-\frac{2}{3}}+c  

d)

=34x43+c=\frac{3}{4}x^{\frac{4}{3}}+c  

82.

Integrate sinx dx\int_{ }^{ }\sin x\ dx  

a)

=tanx+c=\tan x+c  

b)

=cosx+c=-\cos x+c  

c)

=secx+c=-\sec x+c  

d)

=cosec x +c=\operatorname{cosec}\ x\ +c  

83.

12xdx\int_{ }^{ }\frac{\text{1}}{\text{2x}}dx  

a)

=ln2x+c=\ln2x+c  

b)

=2 ln2x+c=2\ \ln2x+c  

c)

=12ln2x+c=\frac{1}{2}\ln2x+c  

d)

=1ln2x+c=\frac{1}{\ln2x}+c  

84.

tanxdx \int\tan x_{ }dx\  

a)

lncos+C\ln\left|\cos\right|+C  

b)

lncosx+C-\ln\left|\cos x\right|+C  

c)

lnsinx+c\ln\left|\sin x\right|+c  

d)

tan2x2+c\frac{\tan^2x}{2}+c  

85.

(4xex)dx\int\left(\frac{4}{x}-e_{ }^x\right)dx  

a)

4x2xex+C\frac{4}{x^2}-xe^x+C  

b)

4lnxex+C4\ln\left|x\right|-e^x+C  

c)

4ln(x)ex+C4\ln\left(x\right)-e^x+C  

d)


4lnx+ex+C4\ln\left|x\right|+e^x+C  

86.

Evaluate the related series of the sequence 13, 15, 17, 19, 21, 23.

a)

108

b)

107

c)

106

d)

105

87.

An arithmetic series is the sum of the terms in an arithmetic sequence.

a)

True

b)

False

88.

You can find the arithmetic series of an infinite arithmetic sequence.

a)

True

b)

False

89.

Evaluate the arithmetic series given the following: a1=42, an=146, n=14a_1=42,\ a_n=146,\ n=14 .

a)

1315

b)

1316

c)

1314

d)

1313

90.

Determine the number of terms in the arithmetic sequence given the following: a1=19, an=96, Sn=690a_1=19,\ a_n=96,\ S_n=690 .

a)

9

b)

10

c)

11

d)

12

91.

Given the following: a1=3, d=2, Sn=21a_1=−3,\ d=2,\ S_n=21 , how many terms do the arithmetic sequence have?

a)

11

b)

9

c)

7

d)

5

92.

Summation is the compact form of an arithmetic series.

a)

True

b)

False

93.

To represent the sum of a sequence, the Greek alphabet Σ\Sigma .

a)

True

b)

False

94.

Evaluate the series: n=163n\sum_{n=1}^63n .

a)

55

b)

59

c)

63

d)

67

95.

Evaluate the arithmetic series: n=110(7n2)\sum_{n=1}^{10}\left(7n-2\right) .

a)

365

b)

440

c)

522

d)

611

96.

What is the sum of the first 10 terms of the sequence 3,6,12,24,...a10?

a)

3069

b)

3079

c)

3690

d)

3960

97.

What is the sum of the first 8 terms of the sequence 5, 15, 45, 135,...a8?

a)

5465

b)

16400

c)

49205

d)

147620

98.

The sum of the first five terms is 341 and the common ratio is 4. Find the first term.

a)

4

b)

3

c)

2

d)

1

99.

What is the sum of the first 7 terms of the geometric sequence 6,12,24,48,...a7?

a)

1530

b)

762

c)

3066

d)

378

100.

Find the sum of the series 1+5+25+125+...+a10.

a)

2114460

b)

2441406

c)

241406

d)

2114460

101.

Find the sum of the first 5 terms of the sequence whose first term is 7 and the common ratio is 7.

a)

19607

b)

19608

c)

19609

d)

19610

102.

What is the sum of the first 6 terms of the sequence 5, 15, 45, 135,...a6?

a)

5465

b)

1640

c)

1820

d)

605

103.

What is the sum of the first 5 terms of the geometric sequence whose first term is 400 and the common ratio is 1/2?

a)

787.5

b)

775

c)

750

d)

700

104.

What is the sum of this series 64 + 16 + 4 + 1 + 1/4?

a)

84 1/4

b)

85

c)

85 1/4

d)

85 3/4

105.

What is the sum of the first five terms of the geometric sequence 3,12,48,192,...?

a)

1013

b)

1023

c)

1033

d)

1043

106.
The discriminant is
a)
aX2  + bX  +  c
b)
b - 4ac
c)
b2 - 4ac
d)
b2 + 4ac
107.
____________
For the function above, is the discriminant positive, negative, or zero?
a)
Positive
b)
Negative
c)
Zero
d)
Not Sure
108.
____________
For the function above, is the discriminant positive, negative, or zero?
a)
Positive
b)
Negative
c)
Zero
d)
Not Sure
109.

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

___________

y = x² + 4x + 4

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

110.

If the discriminant is positive, then the solution will be

a)

one real solution

b)

two real solutions

c)

no real solutions

d)

one imaginary solution

111.
A function has a discriminant of 25.
______________
How many solutions does it have?
a)
0
b)
1
c)
2
d)
5
112.
In the equation
y = x2 +5x +7, match each leading coefficient with its correct letter 
a)
a=0, b=5, c=7
b)
a=1, b=5, c=7
c)
a=7, b=5, c=1
113.

Determine the value of the discriminant and name the nature of the roots for the following:

x2 + 7x + 13

Remember: b2 - 4ac

a)

400, 2 real roots

b)

0, 1 real repeated root

c)

-400, 2 imaginary roots

d)

-3, 2 imaginary roots

114.

1 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

115.

2 A function has a discriminant of 4.


How many x-intercepts does it have?

a)

0

b)

1

c)

2

d)

4

116.

2 A function has a discriminant of 0.


How many x-intercepts does it have?

a)

0

b)

1

c)

2

d)

5

117.
A function has a discriminant of -3.
______________
How many x-intercepts does it have?
a)
0
b)
1
c)
2
d)
3
118.
What  are the solutions of this graph?
a)
-2 and 3
b)
-1/2 and -6
c)
-2 and -6
d)
3 and -6
119.

What is this formula?

a)

The vertex formula.

b)

The quadratic formula.

c)

The discriminant formula.

d)

The slope formula.

120.

The quadratic equation can be used to solve quadratic equations that can or cannot be factored.

a)

True

b)

False

121.
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
122.
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
123.
Does the equation open or or down? 
Y = -3x2 +7x - 2
a)
up
b)
down
124.

Use the quadratic formula to determine the solutions.

2x2 + 2x - 12?

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

125.

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

126.

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

127.
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
128.

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

a)

two real solutions

b)

two irrational solutions

c)

no solution

d)

one solution

129.

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

___________

y = x² + 4x + 4

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

130.
What  are the solutions of this graph?
a)
-2 and 3
b)
-1/2 and -6
c)
-2 and -6
d)
3 and -6
131.
Find the zeros of the equation: 
(x+10)(x-2) = 0
a)
10 and 2
b)
-2 and 10
c)
-10 and 2
d)
-2 and -10
132.

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

133.

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

134.

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