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Total questions: 134
Worksheet time: 5hrs 9mins
The function f(x) = 2x^3 + 3x^2 - 5x - 2 is:
Cubic Function
The equation of a circle with center (2, -3) and radius 5 is:
Find the vertex using complete the square method for y = 2x^2 - 5x + 9
(5/4, -5)
(2/5, 37/4)
(5/2, 5/4)
(5/4, 47/8)
The value of (sin²θ + cos²θ) is:
Solve the equation: x44+18 = x217
±32
±2
± 2 2
±3
Find a and b
a=1 b=-2
a=5 b=-2
a=0 b=3
a=1 b=-5
translation (4 0), vertical stretch factor 2
translation (4 0), horizontal stretch factor 2
translation (5 0), vertical stretch factor 2
translation (5 0), horizontal stretch factor 2
y= x2+3x +3
−x2−3x −1
x2 − 6x
y= −x2+6x−8
What is the range of y= x^2 -5x +7?
Find the inverse of y = 2x^2 - 5x
A is the point (4, -6), B is point (12, 10). Find the equation of the perpendicular bisector
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)
(4, -5)
(6, 15)
(4, 15)
(6, -5)
Find the set of values for 9x^2 -15x <6
-1/3 < x < 2
x < -1/3 and x > 2
x > -1/3
Find the set of values such that y = 2x + k meets the curve y = 1 + 2kx - x^2 at two distinct points
k < 1 or k = 2
k > 1 and k < 2
k < 1 or k > 2
k = 1 or k = 2
b^2 - 4 ac < 0 represents:
One solution
Two solutions
No solutions
I don't know
Express y = 10x - x^2
as
a - (x-b)^2
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
(x + 15)^2 + (y - 7)^2 = 388
(x - 15)^2 + (y - 7)^2 = 325
Find a and b
a = 7 b= 12
a = 12 b = 7
a = -1 b=-4
a = -4 b= -1
Which topic are you most confident in? (all correct)
Quadratics
Functions
Lines and Circles
Radians
How to convert radians to degree
multiply by 180/pi
multiply by pi/180
multiply pi
divide pi
Given image....
A
B
C
D
HCF of 8, 9, 25 is
8
10
500
1
The sum of a rational and irrational number is
(a)
The product of a non-zero rational and an irrational number is always
(a)
If one zero of the quadratic polynomial x² + 3x + k is 2, then the value of k is
10
-10
5
-5
The number of polynomials having zeroes as -2 and 5 is
1
2
Less than 3
More than 3
The perimeter of a circle having radius 5cm is equal to:
30.5 cm
314 cm
31.4 cm
40 cm
What is the CSA of sphere?
3 π r2+ π r2
2π r2
π r2
π r2+ 2π r2
The probability of event equal to zero is called;
Unsure Event
Sure Event
Impossible Event
Possible Event
If P(E) = 0.07, then what is the probability of ‘not E’?
0.93
0.95
0.89
0.90
The Probability of an impossible event is
(a)
A
B
C
D
The pair of equations 3x – 5y = 7 and – 6x + 10y = 7 have
Infinite Solutions
No Solutions
Unique Solution
Two Solutions
sin 2B = 2 sin B is true when B is equal to
90°
60°
30°
0°
If sin θ + sin² θ = 1, then cos² θ + cos4 θ = ..
-1
1
0
2
Find the derivative of 3x2 .
6x
6xdxdy
6x2
x
Find the derivative of 3y2 .
6y
6ydxdy
6y2
y
What is the derivative of 1?
3
2
1
0
Find the derivative of x.
1
2
3
0
What is the direvative of 3(x2+4)2 ?
12x2+48
Cannot be
12x3+48x
6x2+24
What is the derivative of 3x2y=0 ?
3x2
6x
3x26xy
−3x26xy
What rule is used to find the derivative of x+2x2 ?
Quotient rule
Chain Rule
Product rule
Non of the choices
What is the denominator of the Quotient rule in defferentiation?
v2
u2
(v′)2
(u′)2
Find dxdy in the equation x2+y2 = 5 .
xy
yx
1
0
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.
Normal Differentiation
Explicit Differentiation
Implicit Differentiation
Implicit Derivative
∫6x(x+2)dx
6x2+12x+C
x2 −2x+C
3x2+6x+C
2x3+6x2+C
If y = axn , then ∫y dx =
n+1axn+1
n−1axn−1+ c
naxn+1+ c
n+1axn+1+ c
Find indefinite integral for ∫e5x1 dx
51e5x + c
−5e4x + c
−5e−5x+ c
−4e−4x+ c
Approximate the area bounded by f(x)=6x2−3 at the closed interval [−0.4,0.4] .
-2.14
2.14
21
30
what is the definition of a indefinite integral of algebraic function ?
(a)
If a function is known to be f(x)=(8x)3 , then the anti-derivative of that function is...
2x
2x4
8
x3
What can integration be used for?
To calculate the profit and loss in business using graphs
To determine the speed or distance covered by something
To find areas, volumes, central points
To identify variation in temperatures
∫(4x2−2x+3)dx=?
x2(34x−1)+3x+C
x2(43x−1)+3x+C
x2(32x−1)−3x+C
x2(23x−1)−3x+C
∫(5x2−8x+5)dx=?
45x4−4x2+5x+C
35x3−4x2+5x+C
35x3+4x2+5x+C
35x3−8x2+5x+C
∫24(x3+8x−12)dx=?
132
84
36
-12
∫(7sinx)dx=?
−7cosx+C
−7sinx+C
7cosx+C
7sinx+C
∫(6cos3θ)dθ=?
−6sin3θ+C
6sin3θ+C
−2sin3θ+C
2sin3θ+C
∫((1+4x2)x)dx=?
x2+x4+C
2x2+x3+C
2x2+x4+C
x+34x3+C
∫(x23x2+xx)dx=?
3x+21x
3x+2x
3x+21x+C
3x+2x+C
∫(x5+x23−x38)=?
5+x3−x24+C
5−x3+x24+C
5ln(x)−x3+x24+C
5ln(x)+x3−x24+C
Find the area of the shaded region.
663units2
352units2
332units2
325units2
Which of the following is the indefinite integral of 2x3+7 ?
23x2
23x2+7x+c
8x4+7x+c
8x4+c
Integrate x with respect to x
x21+c
21x−21+ c
32x23+ c
23x23+ c
∫ x1+ x21 dx
x−1 + x−2+ c
x0 − x−1+ c
lnx+ x−1+ c
lnx− x−1+ c
∫5x4dx
x5
45x5+C
x5+C
20x3 + C
∫(x2−2x)dx
31x3−x2+C
x2 −2x+C
2x−2
31x3−x2
∫6x(x+2)dx
6x2+12x+C
x2 −2x+C
3x2+6x+C
2x3+6x2+C
∫(6x−1)dx
6x23+x+C
4x23−x+C
3x−21−x+C
I didn't look at my notes to see how to do this one.
∫(x21+x36)dx
−x−1−3x−2+C
−3x−3+−46x−4+C
−x−1−3x−2
−x−3x2+C
∫(5x2−7x+6)dx
35x−27x+6x+C
x+x+x+x+x+C
x3−3x2+6x+C
35x3−27x2+6x+C
∫4sin(−x)dx
4cos(x)+C
−4sin(−x)+C
4cos(−x)+C
−4cos(−x)+C
∫(5x3−16e−4x+x1)dx
2x25+4x−4x+ln∣x∣+C
5x31−4e−4x+1+C
25x23−16e−4x+ln∣x∣+C
Got lazy with fake answers
∫8x−3dx
−2x−4+C
4x−3+C
−38x−2
−4x−2+C
∫(x−1−1)dx
ln∣x∣−x+C
−2x−2−x+C
ln∣x∣−1+C
1−x+C
∫0dx
x1+C
Not Possible
x+C
C
Find the answer of ∫x2+4x dx?
X3/2+2x2
X2+4x
x2/2 +3x+C
x3 /3+2x2+C
Integrate ∫x31dx
=34x34+c
=23x32+c
=31x−32+c
=43x34+c
Integrate ∫sinx dx
=tanx+c
=−cosx+c
=−secx+c
=cosec x +c
∫2x1dx
=ln2x+c
=2 ln2x+c
=21ln2x+c
=ln2x1+c
∫tanxdx
ln∣cos∣+C
−ln∣cosx∣+C
ln∣sinx∣+c
2tan2x+c
∫(x4−ex)dx
x24−xex+C
4ln∣x∣−ex+C
4ln(x)−ex+C
4ln∣x∣+ex+C
Evaluate the related series of the sequence 13, 15, 17, 19, 21, 23.
108
107
106
105
An arithmetic series is the sum of the terms in an arithmetic sequence.
True
False
You can find the arithmetic series of an infinite arithmetic sequence.
True
False
Evaluate the arithmetic series given the following: a1=42, an=146, n=14 .
1315
1316
1314
1313
Determine the number of terms in the arithmetic sequence given the following: a1=19, an=96, Sn=690 .
9
10
11
12
Given the following: a1=−3, d=2, Sn=21 , how many terms do the arithmetic sequence have?
11
9
7
5
Summation is the compact form of an arithmetic series.
True
False
To represent the sum of a sequence, the Greek alphabet Σ .
True
False
Evaluate the series: n=1∑63n .
55
59
63
67
Evaluate the arithmetic series: n=1∑10(7n−2) .
365
440
522
611
What is the sum of the first 10 terms of the sequence 3,6,12,24,...a10?
3069
3079
3690
3960
What is the sum of the first 8 terms of the sequence 5, 15, 45, 135,...a8?
5465
16400
49205
147620
The sum of the first five terms is 341 and the common ratio is 4. Find the first term.
4
3
2
1
What is the sum of the first 7 terms of the geometric sequence 6,12,24,48,...a7?
1530
762
3066
378
Find the sum of the series 1+5+25+125+...+a10.
2114460
2441406
241406
2114460
Find the sum of the first 5 terms of the sequence whose first term is 7 and the common ratio is 7.
19607
19608
19609
19610
What is the sum of the first 6 terms of the sequence 5, 15, 45, 135,...a6?
5465
1640
1820
605
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?
787.5
775
750
700
What is the sum of this series 64 + 16 + 4 + 1 + 1/4?
84 1/4
85
85 1/4
85 3/4
What is the sum of the first five terms of the geometric sequence 3,12,48,192,...?
1013
1023
1033
1043
For the function above, is the discriminant positive, negative, or zero?
For the function above, is the discriminant positive, negative, or zero?
For the function below, is the discriminant positive, negative, or zero?
___________
y = x² + 4x + 4
Positive
Negative
Zero
Not Sure
If the discriminant is positive, then the solution will be
one real solution
two real solutions
no real solutions
one imaginary solution
______________
How many solutions does it have?
y = x2 +5x +7, match each leading coefficient with its correct letter
Determine the value of the discriminant and name the nature of the roots for the following:
x2 + 7x + 13
Remember: b2 - 4ac
400, 2 real roots
0, 1 real repeated root
-400, 2 imaginary roots
-3, 2 imaginary roots
1 What does the discriminant tell us?
The maximum or minimum
The y-intercept
The number and type of solutions
The axis of symmetry
2 A function has a discriminant of 4.
How many x-intercepts does it have?
0
1
2
4
2 A function has a discriminant of 0.
How many x-intercepts does it have?
0
1
2
5
______________
How many x-intercepts does it have?
What is this formula?
The vertex formula.
The quadratic formula.
The discriminant formula.
The slope formula.
The quadratic equation can be used to solve quadratic equations that can or cannot be factored.
True
False
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
Y = -3x2 +7x - 2
Use the quadratic formula to determine the solutions.
2x2 + 2x - 12?
-2, 3
2, 3
2, -3
-2, -3
Use the quadratic formula to determine the solutions.
2x2 - 9x - 35 = 0
x = 7/2, x = -6
x = -5/2, x =5
x = -3/7, x =6
x = -5/2, x = 7
The formula to determine how many solutions a quadratic equation is called the discriminant which is...
aX2 + bX + c
b - 4ac
b2 - 4ac
b2 + 4ac
If the discriminant is negative, you will have....
two real solutions
two irrational solutions
no solution
one solution
For the function below, is the discriminant positive, negative, or zero?
___________
y = x² + 4x + 4
Positive
Negative
Zero
Not Sure
(x+10)(x-2) = 0
Use the discriminant to determine the number of solutions the following quadratic equation has.
6x2 − 2x − 3 = 0
76 Two Solutions
29 Two Solutions
68 Two Solutions
none of these
Use the discriminant to determine the number of solutions the following quadratic equation has.
-2x2 − x − 1 = 0
76 Two Solutions
-7 No Solutions
9 Two Solutions
0 One Solution
How many solutions will this quadratic equation x2+8x+16 has?
2 real solutions
2 imaginary solution
1 solution
3 solutions
