Name
Alg2A
5/17/11
Final Review Packet
Set #1
1) Factor:
48x2 + 16x – 20
2) The perimeter of a rectangle is 110 cm. The width is 4 more than half the length. Find
the area of the rectangle.
3) 5x3 = 25x2 + 120x
4) 3x2 – 4 = 2x
5) A 50-foot flagpole’s shadow is 31 feet. Find the angle of depression.
6)A 39-foot ladder leans against a building and reaches the bottom ledge of a window. If
the foot of the ladder is 15 feet from the base of the building, how high is the window
ledge above the ground?
7) The area of a rectangle is 180 sq. feet. The width is 3 less than the length. Find the
perimeter. (must use let)
8) The diagonal of a square is 14 inches. How long is one side of the square(simplest
radical form)?
9) f(x) = 3x – 5
10)
g(x) = x2
a) f(-2) =
b) g(-2) =
c) g(f(-4))=
e) f(g(x + 2))=
f) g(f(x+2))= g) f(f(2x -3))
d) f(g(-4)) =
h) g(g(-9)) =
11) y = x2 – 8x + 5
y = 3x – 5
14x + 9y = 50
8x – 11y =-149
12) Factor: (Remember GCF 1st!!!!)
a) 32x2 – 8x – 4
b) 100x2 – 225
c) x2 + 81
d) 9x2 + 81
13) The area of a rectangle is 96 sq. feet. The length is 10 more than the width. Find the
perimeter. (must use let)
1
Name
Alg2A
5/17/11
Final Review Packet
Set #2:
Solve each system algebraically and Check:
1) 7x – 5y = -52
6x – 11y = -58
2) y = x2 - 6x - 27
y = 7x -13
3) x = 3y – 7
4x – 13y = -36
4) Solve and round to the
nearest hundredth:
2
4x – 11x = -2
5) Solve:
6x + 72 = x2
Set #3:
0
90
30
60
180
270
sin
cos
tan
45
sin
cos
tan
2) sin 210° =
3) cos x = - ½
4) tan x = 0
2
Name
Alg2A
5/17/11
Final Review Packet
5) tan 300° =
7) sin x = - √3/2
6) cos 225° =
8)
9)
10) 7(4x – 8) – 4(9x – 4) = -38
11) 7(4x – 8) = 4(9x – 4)
12)
2x + 9
x+5
2x + 8
3
Name
Alg2A
5/17/11
Final Review Packet
Set #4:
1)
A
11
13
B
C
16
2)
Angle A = 720
A
13
9
B
C
3) In triangle ABC, A = 580, B = 670, and c = 22. Find C, b, and a.
4) In triangle ABC, a = 9, b = 12, and c = 10. Find all 3 angles.
5) In triangle ABC, a = 17, b = 14, and C = 1030. Find all missing sides and angles.
6) In triangle ABC, A = 680, B = 470, and a = 14. Find C, b, and a.
Sets 5 and 6 will be handed out on class:
Set #5: Radical Equations/Rational Equations
Set #6: Factoring
4
Name
Alg2A
5/17/11
Final Review Packet
5