Name:
Date:
End of Quarter Exam Review
Standard:
Quadratics- Recognize and solve equations in x which are quadratic in some
function of x.
4) Solve x 4  5 x 2  6
Standard:
Quadratics- Recognize and solve equations in x which are quadratic in some
function of x.
4) Solve x  13 x  36
4
2
1
Name:
Date:
End of Quarter Exam Review
Standard:
Functions- Illustrate in graphical terms the relation between a one-to-one function
and its inverse.
f(x) = 2x + 1
(10 pts)
2
Name:
Date:
3
End of Quarter Exam Review
Standard:
Series- Use the expansion of  a  b  , where n is a positive integer (knowledge of the greatest
n
n
term and properties of the coefficients are not required, but the notations   and n! should
r 
be known);
Standard: Series- Use the expansion of  a  b  , where n is a positive integer (knowledge of the
n
n
greatest term and properties of the coefficients are not required, but the notations   and n!
r 
should be known);
3)
Name:
Date:
4
End of Quarter Exam Review
Standards: Series
Use the formulas for the nth term and for the sum of the first n terms to solve problems
involving arithmetic or geometric progressions.
Use the condition for the convergence of a geometric progression and the formula for the sum
to infinity of a convergent geometric progression.
Recognize arithmetic and geometric progressions (sequences).
Name:
Date:
5
End of Quarter Exam Review
Standard:
-1
-1
-1
-1
-1
-1
Trigonometry- Use the notations sin x, cos x, tan x to denote the principal values of the
inverse trigonometric relations
Find, correct to 1 decimal place, the two smallest positive values of θ which satisfy the following
equation:
3)
tan 2  0.64
The two values of θ:
Standard:
Trigonometry- Use the notations sin x, cos x, tan x to denote the principal values of the
inverse trigonometric relations
Find, correct to 1 decimal place, the two smallest positive values of θ which satisfy the following
equation:
3)
cos  0.34
Name:
Date:
End of Quarter Exam Review
Standard:
Trigonometry- Use the identities
4)
sin 
 tan  and sin 2   cos 2   1
cos 
6
Name:
Date:
7
End of Quarter Exam Review
Standards:
Differentiationn
i) Use the derivative of x (for any rational n), together with constant multiples, sums,
differences of functions, and of composite functions using the chain rule.
ii)
dy d 2 y
Understand the idea of the slope of a curve and use the notations f’(x), f’’(x),
,
dx dx 2
Apply differentiation to slopes, tangents, and normals
Coordinate Geometry- and use the relationships between the slopes of parallel and
perpendicular lines
Interpret and use linear equations, particularly the forms y = mx + c and y – y1 = m(x – x1)
Name:
Date:
8
End of Quarter Exam Review
Standards:
DifferentiationApply differentiation to slopes, tangents, and normals
Locate stationary points and use information about stationary points in sketching graphs (the
ability to distinguish between maximum points and minimum points is required, but
identification of points of inflection is not included).
2)
a)
b)
c)
Name:
Date:
9
End of Quarter Exam Review
Standard: Differentiation
Apply differentiation to rates of change (including related rates of change)
2)
A   r2
Standards: Integration
Understand integration as the reverse process of differentiation and integrate  ax  b  (for
n
any rational n except –1), together with constant multiples, sums, and differences.
Solve problems involving the evaluation of a constant of integration, to find the equation of the
curve given a coordinate pair.
Standard: Differentiation
Locate stationary points and use information about stationary points in sketching graphs (the
ability to distinguish between maximum points and minimum points is required, but
identification of points of inflection is not included).
1)
Name:
Date:
10
End of Quarter Exam Review
Standards: Integration
Evaluate definite integrals
Use definite integration to find the area of a region bounded by a curve and lines parallel to the
axes, or between two curves
1)
The equation of the curve is:
y
Find the area of the shaded region.
16
2
x2
Name:
Date:
11
End of Quarter Exam Review
Standards: Integration
Understand integration as the reverse process of differentiation and integrate  ax  b 
n
Evaluate definite integrals
Use definite integration to find the area of a region bounded by a curve and lines parallel to the
axes, or between two curves
Use definite integration to find a volume of revolution about one of the axes.
1)