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Grade 10 Final Exams
Contributed by: Pham
axis of symmetry
Equation of the graph
in standard form
y =
x2 is written as x ^ 2
The 14th term is
Given the sequence 7, 2, -3, -8,  -13,...
The explicit formula is an = pn + q
q =
p =
Fill in the blank
n=1
10
Formula
= 2 + 4 + 6 + 8 +... =
The sum
A rope is swinging in such a way that the length of the arc is decreasing geometrically. If the first arc is 18 feet long and the third arc is 8 feet long, what is the length of the second arc?
feet
The graph of f(x) = √x is transformed to the graph of g(x) below.  After the transformation(s), point B(x,y) on f(x) becomes point A (0,2). What are the value of x and y?
x =
y =
A( 0,2)
f(x) = 
g(x) = 
x - 4
3
( no space)
f(g(x))=x
If x and y are suplementary angles then
cosx = cosy
sinx = -siny
sinx = siny
sinx = cosy
cosx =-cosy
Which oneis the graph ofy = 15sin(0.5x)?
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Convert to degree
5π/12 =
π/3
π/6 =
degrees
degrees
degrees
Solve
 log2x + log2(x – 2) = 3, for x > 2.
log27 x = 1 – log27 (x – 0.4).
92x = 27(1–x).
x =
x =
x =
( answer in decimal)
Given the quadratic function f(x) = 2x2 - 4x +5. Point V(x,y) is the vertex of the graph of f(x). Find the values of x and y
x =
y =
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Given the table below, find:
f(2) =
f-1 (2) =
Let f(x) = 2x3 + 3 and g(x) = e3x – 2.
(f ° g)(0) =
 g(0) = 
f-1(19) =
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positive
a is
c is
b is
positive
The equation of the graph below is y = ax2 + bx + c
positive
negative
negative
negative
The graph of y = log3(7(x+4)) is the image of the graph of y = log3x after it has been
stretched horizontally by a factor of 7, and then translated4 units right
compressed horizontally by a factor of 1/7, and then translated 4 unit right
stretched horizontally by a factor of 7, and then translated 4 units left
compressed horizontally by a factor of 1/7, and then translated 4 units left
Given the graph of
a =
d = 
b =
What is the solution to the quadratic inequality 
2x2 - 6x ≥ 5
x ≤ -0.68 or x ≥ 3.68
x ≤ -3.68 or x ≥ 0.68
-3.68 ≤ x ≤ 0.68
-0.68 ≤ x ≤ 3.68
A college's business office found the relationship between the number of admissions counselors they employ and the college's profit from tuition could be modeled by the function: y = -10x2 + 1500x - 35000
How many admissions counselors should the college
 employ to maximize its profit?
What is the maximum amount of profit the 
college can make?
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Write the following series in sigma notation.
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x = 
a =
Solve
x =
smaller solution
and 
greater solution
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