Math II Review
Name:
Date:
x
, what is x to the nearest integer?
30
1.
If sin 38 =
2.
As shown in the accompanying diagram, a kite is ying at the end of a 25-meter string. If the string makes an
angle of 65 with the ground, how high, to the nearest meter, is the kite?
3.
p
Find the length of a leg of an isosceles right triangle whose hypotenuse has a length of 8 2.
4.
Find the value of cos 42 140 to four decimal places.
5.
Express in simplest form the value of 2x0 + x 3 if x = 27.
6.
Find the value of (x + 2)0 + (x + 1)
2
2
3
when x = 7.
page 1
7.
If cos A = 0:3942, what is the value of angle A to the nearest minute?
A.
23 12 0
B.
23 13 0
C.
66 47 0
D. 67 48 0
8.
If tan A = 43 , nd mOA to the nearest degree.
9.
If sin 43 =
10.
In the accompanying diagram, CD is the bisector of mO ACB, mO A = 58, and mOB = 72. Find mOACD.
11.
The value of sin( 210 ) is
A.
12.
3
2
B.
p
3
2
C.
1
2
D.
1
2
What is the value of sin( 240 )?
A.
13.
p
y
, what is the value of y to the nearest tenth?
20
1
2
B.
1
2
C.
p
3
2
D.
p
3
2
If the lengths of the legs of a right triangle are 5 and 12, what is the length of the hypotenuse?
A.
p
119
B.
p
17
C.
page 2
17
D. 13
Math II Review
14.
When the point is (2; 5) is re ected in the x-axis, what are the coordinates of its image?
A.
15.
( 5; 2)
B.
( 2; 5)
C.
(2; 5)
D. (5; 2)
If the length of one of the legs of a right triangle is 10 and the length of the other leg is 24, what is the length of
the hypotenuse?
A.
13
B.
17
C.
26
D. 169
16.
In a right triangle, if the length of the hypotenuse is 15 and the length of one leg is 12,
other leg.
17.
What is the length of the hypotenuse of a right triangle with legs of lengths 7 and 8?
A.
18.
9
B.
15
C.
p
15
D.
nd the length of the
p
113
Which graph represents the equation y = x2 + 4?
A.
B.
C.
D.
19.
Find the image of A( 3; 2) under a dilation with the center at the origin and a scale factor of
20.
If the graphs of the equations xy = 12 and y = 2 are drawn on the same set of axes, what is the total number of
common points?
A.
21.
1
B.
2
C.
3
2.
D. 0
If the legs of a right triangle have measures of 9 and 12, what is the length of the hypotenuse?
page 3
Math II Review
22.
If f (x) = x
24.
C.
D. 4
2
C.
1
8
C.
1
1 16
1
D. 4 16
66
D. 67
, then f ( 14 ) is equal to
8
B.
12
If cos x =
A.
26.
3
2
1
4
4
D.
4
If f (x) = 4x0 + (4x) 1 , what is the value of f (4)?
A.
25.
B.
If f (x) = x
A.
, what is f (8)?
16
3
A.
23.
2
3
B.
2
5
0
what is the measure of Ox, to the nearest degree?
23
B.
24
C.
Which is an equation of the axis of symmetry of the graph of y = x2 + 6x + 7?
A.
x=
1
3
3
B.
x=
1
3
C.
x= 3
D. x = 3
x0 if x = 16
27.
Evaluate x 4
28.
In the accompanying diagram, what is the measure of angle x ?
page 4
Math II Review
29.
Solve the following system of equations for x:
x+y=6
x y=2
30.
Under a dilation with respect to the origin, the image of A(1; 2) is A0 (5; 10). Under the same dilation, what are the
coordinates of B0 , the image of B(0; 3)?
31.
On the accompanying set of axes, graph ^ABC with coordinates A( 1; 2), B(0; 6), and C(5; 4). Then graph
^A0 B0 C0 , the image of ^ABC after a dilation of 2.
32.
What are the coordinates of point (2; 3) after it is re ected over the x-axis?
A.
(2; 3)
B.
( 2; 3)
C.
page 5
( 2; 3)
D. ( 3; 2)
Math II Review
33.
34.
In the diagram above, ^ABC
A.
a line re ection
B.
C.
a translation
D. a dilation
36.
a rotation
In the diagram shown, ^ABC is similar but not congruent to ^ A0 B0 C0 . Which transformation is represented by
^A0 B0 C0 ?
A.
35.
^A0 B0 C0 . Under which type of transformation is ^A0 B0 C0 the image of ^ABC ?
rotation
B.
translation
C.
re ection
D. dilation
In the accompanying diagram, ^A0 B0 C0 is the image of ^ ABC. Which type of transformation is shown in the
illustration?
A.
line re ection
B.
rotation
C.
translation
D. dilation
Solve the following system of equations for the positive values of y:
x + y2 = 13
x= 3
page 6
Math II Review
37.
38.
39.
In the accompanying diagram, which transformation makes triangle 2 the image of triangle 1?
A.
re ection in the y-axis
B.
C.
translation
D. rotation centered at the origin
Which transformation for letter M is shown in the accompanying diagram?
A.
line re ection
B.
C.
rotation
D. dilation
translation
Which is an equation of the parabola graphed in the accompanying diagram?
A.
40.
dilation
y = x2 + 4
B.
y = x2
4
C.
y = x2 + 4
D. y = x2
4
What is the y-intercept of the parabola whose equation is y = x2 + 7x + 5?
A.
7
2
B.
5
C.
page 7
3
D.
7
2
Math II Review
41.
42.
What is the y-intercept of the graph of the equation y = 2x2
5x + 7?
A.
7
B.
2
C.
D.
Which is an equation of the axis of symmetry of the parabola whose equation is y = 3x2
A.
43.
5
x= 4
B.
x=2
C.
x=3
Which is an equation of the axis of symmetry of the graph of the equation y = x2
A.
y=3
B.
y= 3
7
12x
13?
D. x = 4
6x + 9?
C.
x=3
D. x = 3
C.
(6; 1)
D. (8; 2)
44. What is the image of (4; 1) after a dilation of 2?
A.
45.
(6; 1)
B.
(2; 3)
Solve the following system of equations algebraically and check:
3x + 2y = 6
5x 3y = 28
46.
What is the solution for the following system of equations?
2x + y = 7
x 2y = 6
A.
47.
(3; 1)
B.
(1; 3)
C.
( 1; 4)
D. (4; 1)
The graphs of the equations x2 + y2 = 4 and y = 2 are drawn on the same set of axes. What is the total number of
points common to both graphs?
A.
1
B.
2
C.
page 8
3
D. 4
Math II Review
48.
Which equation represents the parabola shown in the accompanying graph?
A.
49.
f (x) = (x + 1)2
3
B.
f (x) = (x
3)2 + 1
C.
f (x) = (x + 3)2 + 1
D. f (x) = (x
C.
(3; 9)
D. ( 5; 3)
3)2
3
Which is a solution for the following system of equations?
y = x2
y = 2x + 15
A.
50.
( 3; 9)
B.
(5; 25)
What is the total number of points of intersection of the graphs of the equations xy = 12 and y = x2 + 3?
A.
1
B.
2
C.
page 9
3
D. 4
Math II Review
51.
Which graph could be used to nd the solution to the following system of equations?
y = (x + 3)2 1
x+y=2
A.
B.
C.
D.
page 10
Math II Review