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quiz gmelina special angles

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Mental Computation 1
Mental Computation 3
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Mental Computation 2
Mental Computation 4
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SCORE
DATE
TEST I. 45º-45º-90º
TEST II 30º-60º-90º
TEST III TRSA
TEST I. 45º-45º-90º
Direction: Find the missing side lengths. Leave your answers as radicals in simplest
form. (2 pts. Each)
1.
2.
3.
45º
x
y
10
y
x
45º
45º
3√2
4.
x
5.
45º
23√2
y
x
45º
2√50
x
y
y
15
TEST II. 30º-60º-90º
Direction: Find the missing side lengths. Leave your answers as radicals in simplest
form. (2 pts. Each)
1.
TEST II.TRIGONOMETRIC RATIOS OF SPECIAL ANGLES
Directions: Evaluate each of the following. Show your solution. (2 pts.each)
ϴ
30º
2.
2
2
3
45º
2
2
1
60º
3
2
2
2
1
2
30º
60º
x
y
y
36
30º
60º
8
TRIGONOMETRIC RATIOS OF SPECIAL ANGLES
sinϴ
cosϴ
tanϴ
cscϴ
secϴ
1
2
3
3
2 3
x
9
3.
4.
60º
6
30º
y
y
x
30º
1. cos45º x csc45º = _______
2. tan60º+ cos30º= _______
60º
3. csc45º - cos45º = _________
x
4. 2sin30º - cos245º = _________
5.
10√3
5. tan260º + cos60º = _________
30º
y
60º
x
3
cotϴ
3
3
2
2
3
3
2
1
2
3
3
1. a = -1 ; b = -6
7. (6,0) ; (0, -3)
2. a = -4 ; b = 7
8. (0,-15); (-12, 0)
3. a = -10 ; b = -12
9. (0,21) ; (8, 0)
4. a = 11 ; b = 5
10. (-7,0) ; (0, 9)
ACTIVITY 7
Find the equation of a line having the specified slope and containing the
indicated point. Write the final answer in slope-intercept form.
1. m = 2, (2,3)
6. m = 5, (7,3)
2. m = -4, (4,7)
7. m = -3, (5,-3)
3. m = 3, (-2,-3)
8. m = 1, (-5,-7)
4. m = -2, (8,0)
9. m = -3, (2,0)
5. m = 3/5, (-2,6)
10. m = 3/4, (2,-5)
ACTIVITY 8
Write the equation of the line given the pair of points.
1. ( -1 , 2 ) ; ( 4 , 7 )
4. ( 2 , -6 ) ; ( -3 , -3)
ACTIVITY 3
Find the slope and y-intercept of the given equation.
1. y = 5x + 3
4. y = x/3 – 6
2. 3x – 5y = 15
2. ( 1 , -3 ) ; ( 6 , 2 )
5. 3x – 2y = 22
5. ( -2 , -1 ) ; ( -1 , -6 )
3. 2x + 7y = -14
3. ( -7 , 4 ) ; ( 5 , -2 )
ACTIVITY 2
Complete the ordered pair so that each is a solution to the given linear
equation.
1. 3x + y = 6
( 0, __ ), ( __, 0 ), ( 3, __ )
2. 6x + 5y = 30
( __, 6 ), ( __, 4 )
3. y = ½ x – 1
( 2, __ ), ( -1, __ )
4. x – y = 4
( 4, __ ), ( __, 1 ), ( -1, __ )
QUIZ 2
Find the Slope of a Line given the graph
2. 5x+y=20
QUIZ 3
Graph the following linear equation using intercepts method.
1. 2x+y=4
3. 6y+x=6
ACTIVITY 6
Graph the following linear equation using slope - intercepts method.
1. y = 2x – 3
3. 2x + 3y = 9
3. P1(3,-4),
P2(3,5)
8. P1(-5/4,23/4),
P2(5/2,-21/2)
4. P1(5,1),
P2(-2,1)
9. P1(7,-2),
5. P1(-10,5),
P2(-10,-3)
10. P1(2,5), P2(-3,7)
2. 3x - 2y= - 4
ACTIVITY 4
Find the slope of the line given two points P1 and P2.
1. P1(2,1),
P2(3,4)
6. P1(9,6),
P2(-2,6)
ACTIVITY 5
Graph the equation by plotting.
1. y = 2x – 3
2. P1(5,-2),
P2(1,0)
7. P1(4,2),
P2(3,4)
P2(12,-2)
2. 3x - y= - 4
4. x + y = 7
3. 9y=3x + 12
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