Name
Do all problems in NB – Finish for HW
Quiz on 1st 2 parts tomorrow
Answer Key for 1st 2 parts online
1) sin 30° =
2) cos 60° =
3) tan 45° =
4) tan 120° =
5) cos 150° =
6) sin 135° =
7) cos 225° =
8) tan 240° =
9) sin 240° =
10) sin 330° =
11) tan 315° =
12) cos 300° =
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1) tan x = -1
2) sin x = ½
3) cos x = ½
4) sin x = -√2 /2
5) tan x = √3
6) cos x = -√3 /2
7) cos x = √2 /2
8) sin x = -√3 /2
9) tan x = -√3 /3
10) tan x = 1
11) sin x = - ½
12) cos x = - ½
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Solve each equation: (Linear and Quadratic mixed.... watch out for the x2!!!)
1) 20 - (5/8)x = 40
2) 6(7x - 2) = 8(4x + 1)
3) 2(5x - 4) - 3(4x + 3) = -43
4) x2 + 44 = 15x
5) 2x2 + 12x = 54
6) 3x2 = 42x - 135
7) 11x - 5 = 7x - 53
8) 6(3x + 1) + 5(10 - 4x)= 39
9) ¼x - 33 = -49
10) x2 - 88 = 3x
11) 9(3x + 1) = 8(5x + 6)
12) 15x = x2 – 16
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Word Problems:
1) A store sold Duke t-shirts for $29 and Tar Heel t-shirts for $23. The store sold 380
shirts and made $11,002. How many of each T-shirt were sold?
2) The sum of 5 consecutive integers is 340. Find the 5 integers.
3) Find 4 consecutive even integers such that the sum of the 2nd and 4th is -212.
4) Sally’s cell phone company’s daytime rate is $.18/minute and nighttime rate (after
8:00 PM) is $.11/minute. When she got her bill she saw a 36-minute phone call that cost
$4.94.
5)A jar of change has $33.95 in it. There are 5 more dimes than double the quarters.
There are 3 less nickels than triple the amount of quarters. How many nickels, dimes,
and quarters are in the jar? (There are no pennies.)
6) The souvenir stand sold Yankee hats for $15 and Mets hats for $11. The store sold 8
more Yankee hats than 12 times the Mets hats and made $490. How many of each hat
were sold?
Quiz on 1st 2 parts tomorrow
Answer Key for 1st 2 parts online
Name
Do all problems in NB – Finish for HW
a) Find the equation of the line under “original”. DO NOT GRAPH!!
b) For the line found in part a, find a line that is parallel and passes
through the given point.
c) Find the equation of a line that is perpendicular and passes through
the given point.
Original
Parallel
Perpendicular
1) m = (- ¾ ), (-8,5)
(4,-8)
(3,4)
2) 39x + 13y = 26
(-2, 2)
(-9, -4)
3) (4, 5)(-2, -7)
(3, 8)
(-4, 5)
4) m = 0 (4,5)
(2, -6)
(-5,-8)
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Solve and check: (algebraically)
1) x = 5 – 3y
2) 8x – 7y = 60
3) 9x = 6 – 5y
6x + 13y = 40
3x + 11y = 77
5x + 6y = 42
Factor:
1) x2 – 17x + 72
2) x2 – 3x – 28
3) x2 + x – 90
4) x2 + 13x + 12
5) x2 - 121
6) 9x2 – 25
7) 4x2 – 16x – 180
8) 5x2 + 40x + 60
9) 3x2 – 243
10) 7x8 – 175
11) 36x2 – 16
12) 144x4 – 64
13) 24x2 + 10x - 14
14) 8x2 - 15x + 5
15) 24x2 + 35x + 4
1) √7x - 6 - x = -2
2) 12√8x + 1 - 5 = 151
3)√5x + 24 = x
4)
-
5)
6
_
x – 13x + 12
2
x
x - 144
_
2
x+2
x + 4x - 21
+
2
x–8
_
x + 7x – 30
2
6) In the right triangle ▲MNP, N is the right angle and TAN M = 40/9.
Find:
SIN M=
SIN P=
COS M =
COS P=
TAN P=
CSC M=
CSC P=
SEC M=
SEC P=
COT M=
COT P =
Name
Do all problems in NB – Finish for HW
Quiz on 1st 2 parts tomorrow
Answer Key for 1st 2 parts online