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WorksheetsG10SL-Revision
Total questions: 115
Worksheet time: 7hrs 41mins
Name
Class
Date
1.
The next two terms of the sequence 4,7,10,13 are
a)
16 and 19
b)
15 and 19
c)
16 and 18
d)
15 and 18
2.
The next two terms of the sequence 12,17,22,27 are
a)
28 and 33
b)
29 and 34
c)
27 and 32
d)
30 and 35
3.
Identify the common difference.
10, 20, 30, 40, ...
10, 20, 30, 40, ...
a)
5
b)
10
c)
15
d)
20
4.
Identify the common difference.
3, 7, 11, 15, ...
3, 7, 11, 15, ...
a)
6
b)
5
c)
4
d)
2
5.
Identify the common difference.
97, 86, 75, 64, ...
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
6.
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
7.
Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)
a)
an=2+6n
b)
an=-6+6n
c)
an=6n-4
d)
an=4-6n
8.
Write a recursive rule for the sequence 17, 1, -15, -31 . . .
a)
an = an-1 + 16
b)
an = an-1 - 17
c)
an = an-1 - 15
d)
an = an-1 - 16
9.
Write the recursive formula for the following sequence?
6, 4, 2, 0, . . .
6, 4, 2, 0, . . .
a)
an = -2n + 8
b)
a1 =6, an = an - 1 - 2
c)
a1 = 6, an = an-1 + 2
d)
a1 = 6, an = an-1 - 2
10.
What is the 100th term in the sequence an = 4n-12
a)
388
b)
40012
c)
-388
d)
100
11.
Write the recursive formula for the following sequence?
6, 4, 2, 0, . . .
6, 4, 2, 0, . . .
a)
an = -2n + 8
b)
a1 =6, an = an - 1 - 2
c)
a1 = 6, an = an-1 + 2
d)
a1 = 6, an = an-1 - 2
12.
Find the 22nd term of the following sequence:
5, 8, 11, ...
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
13.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
14.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
15.
a)
Function
b)
Not a Function
16.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
17.
Is this table a function or not a function?
a)
Function
b)
Not a Function
18.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
19.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
20.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
21.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
R: {0, 1, 2, -4}
b)
D:{0, 1, 2, -4}
R:{1, -3, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
R:{1, -3, -4}
22.
Evaluate f(-2) if f(x) = x+3
a)
-1
b)
1
c)
5
d)
-5
23.
Given
f(x)= 2x2 + 5x - 17, find f(-1).
f(x)= 2x2 + 5x - 17, find f(-1).
a)
f(-1) = -20
b)
f(-1) = -24
24.
Evaluate the function for the given value:
a)
8
b)
-7
c)
6
d)
2
25.
Evaluate the function for the given value:
a)
-5
b)
63
c)
450
d)
5
26.
Does the table represent a function?
a)
Yes, there is a repeated x-value.
b)
No, there aren't any repeated y-values.
c)
Yes, there are repeated y-values.
d)
No, there is a repeated x-value.
27.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
28.
a)
Function
b)
Not a Function
29.
For the function f(x) = -3(x-1) find f(0).
a)
0
b)
-3
c)
3
d)
-1
30.
Given h(x) =
-x2+3x, find h(5).
-x2+3x, find h(5).
a)
h(5) = 40
b)
h(5) = -10
31.
Identify the domain of the following relation:
a)
-6, 14, 2, 28
b)
(-6,14), (0,32), (2,38), (4,44)
c)
{-6, 0, 2, 4}
d)
14, 32, 38, 44
32.
Identify the range of the following function when given the domain { 2, 3, 10}:
y = 4x - 12
a)
4, 12, 20
b)
-20, 0, 28
c)
{-4, 0, 28}
d)
8, 12, 40
33.
What kind of function is this graph?
a)
Linear
b)
Quadratic
c)
Exponential
34.
The graph of a quadratic function is called
a)
a line
b)
a hyperbola
c)
a parabola
d)
a cubic
35.
Which of the following is NOT a quadratic function
a)
f(x) = -3x2
b)
f(x) = -5x - 3x2
c)
f(x) = 3x3 - 4x2 + 5
d)
f(x) = 3x + 5
36.
Which one is the same as fοg(x)
a)
g(f(x))
b)
f(g(x))
37.
Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))
and g(x) = x - 2
Find f(g(5))
a)
19
b)
23
c)
-10
d)
None of these.
38.
f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)
g(x) = x - 2
Find (f∘g)(0)
a)
16
b)
4
c)
-4
d)
None of these.
39.
f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))
g(x) = x - 2
Find g(f(-10))
a)
-42
b)
-26
c)
-18
d)
None of these.
40.
What is f(g(3))?
a)
1/8
b)
8
c)
1/4
d)
1/2
41.
(L3) Given f(x)= x2 + 25 and g(x)= x - 5, find (f+g)(x).
a)
x2 + x - 20
b)
x2 + x + 20
c)
-x2 + x - 20
d)
x2 - x - 20
42.
f(x) = 3x2 + 7x and g(x) = 2x2 - x - 1, find (f - g)(x).
a)
x2 + 8x + 1
b)
x2 + 6x - 1
c)
5x2 + 8x - 1
d)
x2 + 8x -1
43.
f(n)=2n+1
g(n)=3n
Find f(n)+g(n)
g(n)=3n
Find f(n)+g(n)
a)
5n+1
b)
-5n+1
c)
-2n+1
d)
-6n-1
44.
Identify if the following is a composite function:
g(x)f(x)
a)
Yes
b)
No
45.
Identify if the following is a composite function:
f(g(x))
a)
Yes
b)
No
46.
How do you determine if a relation is a function?
a)
The vertical line test crosses more than one point on the graph.
b)
The same y-values are mapped from the same x-values.
c)
The vertical line test crosses only one point on the graph.
d)
Each input is related to more than one output.
47.
If the blue function is f(x)=x2, then the red function must be
a)
g(x)=x2-5
b)
g(x)=x2+5
c)
g(x)=(x-5)2
d)
g(x)=(x+5)2
48.
If the blue function is f(x)=√x, the red function must be
a)
g(x)=√(-x)
b)
g(x)=√(x-1)
c)
g(x)=√x-1
d)
g(x)=-√x
49.
g(x)=-f(x)
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been reflected over the x-axis.
b)
f(x) has been reflected over the y-axis.
50.
g(x)=f(x-1)-5
Describe the transformation to f(x) that results in g(x).
Describe the transformation to f(x) that results in g(x).
a)
f(x) has been translated to the left one and down five.
b)
f(x) has been translated to the right one and down five.
c)
f(x) has been translated to the left one and up five.
d)
f(x) has been translated to the right one and up five.
51.
Identify the coordinates of the point (3 , -2), translated 5 units left and 6 units up.
a)
(2,-4)
b)
(-2,4)
c)
(8,4)
d)
(-2,-8)
52.
DOMAIN?
a)
(-∞,∞)
b)
[0,∞)
c)
(-∞,0]
d)
-2, 2
53.
What is the RANGE?
a)
(-∞,∞)
b)
[0,∞)
c)
(-∞,0]
d)
[-∞,∞]
54.
Find the inverse of f(x) = -4x - 12
a)
f-1(x) = 4x - 3
b)
f-1(x) = -1/4x - 3
c)
f-1(x) = 1/4x + 3
d)
f-1(x) = -4x - 3
55.
Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)
a)
True
b)
False
56.
Was the inverse function found correctly?
a)
no,
b)
yes
57.
Find the inverse of
f(x) = 1/4x - 7
f(x) = 1/4x - 7
a)
f-1(x) = 4x + 7
b)
f-1(x) = -4x + 28
c)
f-1(x) = -4x - 7
d)
f-1(x) = 4x + 28
58.
a)
Inverse Functions
b)
Not Inverse Functions
59.
What is the inverse of this function?
a)
A
b)
B
c)
C
d)
D
60.
What does an inverse function do?
a)
Nothing
b)
Makes it bigger
c)
Does the opposite of the original function
61.
What's the best description?
a)
They are both functions, but not inverse functions.
b)
They are reflected over y=x, but they are not both functions.
c)
They are not reflected over y=x, and they are not both functions.
d)
They are inverse functions.
62.
True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing
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
63.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
64.
Which answer choice describes y = -3x2 +7x - 2 accurately?
a)
opens up with a maximum
b)
opens up with a minimum
c)
opens down with a maximum
d)
opens down with a minimum
65.
.How many zeros does this parabola have?
a)
3
b)
2
c)
0
d)
1
66.
Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x²+2x-3
y=x²+2x-3
a)
Minimum value, because the a value is positive
b)
Maximum value, because the b value is positive
c)
Maximum value, because the a value is positive
d)
Minimum value, because the c value is negative
67.
Find the y-intercept of f(x) = 2x2-2x + 1
a)
2
b)
-2
c)
1
d)
-1
68.
Find the vertex of
f(x) = -x2 - 4x + 12.
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
69.
Find the axis of symmetry for
f(x) = x2- 8x + 15.
f(x) = x2- 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
70.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
71.
Solve using the quadratic formula
a)
A
b)
B
c)
C
d)
D
72.
y=2x2-6x+1 is in what form?
a)
Vertex Form
b)
Factored form
c)
Standard Form
d)
Cannot be determined
73.
Is this a max or min?
a)
max
b)
min
c)
cannot be determined
74.
How many solutions does this graph have?
a)
one
b)
two
c)
no real solutions
d)
cannot be determined
75.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
76.
What is the ratio for Tangent
a)
Opp/Adj
b)
Adj/Opp
c)
Opp/Hyp
d)
Hyp/Opp
77.
What is the ratio for Cosine?
a)
Opp/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Adj/Hyp
78.
What is the correct ratio?
a)
9/41
b)
40/41
c)
9/40
d)
40/9
79.
What is the correct ratio?
a)
7/24
b)
24/7
c)
7/25
d)
24/25
80.
What is the correct equation to solve for x ?
a)
tan( 46 ) = 17/x
b)
sin ( 46 ) = x/17
c)
tan (46 ) = x/17
d)
cos (46) = x/17
81.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
82.
Convert 510o to Radians
a)
25π / 3
b)
23π / 8
c)
17π / 6
d)
51π / 8
83.
Convert -520o into Radians
a)
-17π / 4
b)
-21π / 6
c)
-26π / 9
d)
-23π / 6
84.
Convert 35π / 18 radians into degrees
a)
350o
b)
340o
c)
355o
d)
3450
85.
Convert -41π / 12 radians into degrees
a)
-600o
b)
-605o
c)
-610o
d)
-615o
86.
Find the arc length. Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
87.
Find the arc length of the bolded arc. Give your answer in terms of π.
a)
(65/12)π cm
b)
17.02 cm
c)
(845/24)π cm
d)
26π cm
88.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
89.
Sine or Cosine?
a)
y=sinx
b)
y=cosx
90.
The period of a sine or cosine graph can be found by ....
a)
It's always 2π
b)
2π/B
c)
B(2π)
d)
2π+B
91.
What is the domain and range of y=sinx?
a)
D: (-∞, ∞)
R: [-1, 1]
R: [-1, 1]
b)
D: (-∞, ∞)
R: [-π, π]
R: [-π, π]
c)
D: (∞, -∞)
R: [-1, 1]
R: [-1, 1]
d)
D: (-∞, ∞)
R: [-∞, ∞]
R: [-∞, ∞]
92.
What is the equation of the graph?
a)
y = 2 cos x
b)
y = sin x
c)
y = 2 sin x
d)
y = sin 2x
93.
What is the equation of graph?
a)
y = sin 5x
b)
y = cos 5x
c)
y = 5 sin x
d)
y = 5 cos x
94.
What is the amplitude of the graph?
a)
-2
b)
2
c)
4
d)
-4
95.
Write an equation of a sine function with a period of π and amplitude of 7.
a)
y=7sin2πx
b)
y=7sinπx
c)
y=2sin7x
d)
y=7sin2x
96.
When using the sine rule how many parts (fractions) do you need to equate?
a)
All 3 parts
b)
1 part
c)
2 parts
97.
Which rule can be used directly for this triangle?
a)
The Sine Rule
b)
The Cosine Rule
c)
The Area of a Triangle
d)
Pythagoras' Theorem
98.
a)
10.1
b)
10.0
c)
10.9
d)
8.86
99.
Which of the following formulas is the Cosine rule?
a)
c2 = a2 + b2 - 4ac + cosA
b)
c2 = a2 - b2 - 2abcosC
c)
c2 = a2 + b2 - 2abcosC
d)
(cos A)/a = (cos B)/b
100.
Find the area of the shaded sector of the circle.
a)
b)
c)
d)
101.
Solve each equation for 0 ≤ θ < 2π.
a)
b)
c)
d)
102.
a)
b)
c)
d)
103.
a)
b)
c)
d)
104.
Where is point B located?
a)
2 + i
b)
-3
c)
2i
d)
-1 - i
105.
Where is point A located?
a)
2 + i
b)
-3
c)
2i
d)
-1 - i
106.
(-7 + 9i) + (2 - 10i)
a)
-5 + i
b)
-5 - i
c)
-9 + 1
d)
9 - i
107.
(4 - 2i) - (3 + 6i)
a)
7 - 4i
b)
1 + 4i
c)
1 - 8i
d)
7 - 8i
108.
Choose the correct answer for the operation pictured.
a)
7-13i
b)
7-i
c)
1-13i
d)
1-i
109.
What does i2 equal?
a)
-1
b)
√-1
c)
1
d)
-√1
110.
(3 + 8i)(-2 - i)
a)
2-19i
b)
23-i
c)
34+5i
d)
23-i
111.
Simplify
a)
(-10+6i)/17
b)
(1+50i)/61
c)
(-23+36i)/25
d)
(-21+33i)/34
112.
√-36
a)
6
b)
-6
c)
-6i
d)
6i
113.
What letter represents an imaginary number?
a)
a
b)
i
c)
j
d)
x
114.
Simplify.
a)
b)
c)
d)
115.
a)
A
b)
B
c)
C
d)
D
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