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26 ALGEBRA 2 TRIGONOMETRY ALGEBRA 2 TRIGONOMETRY 27 Test 3 Test 3 Part I
9 Sol ve for x x+F+J =5Answer all 27 questions in this part Each correct answer will receive 2
(I) 3 8 (2) -3 8 (3) 3 (4) 8 9credits No partial credit will be allowed For each question write in the space pmiddotovided the numeral preceding the word or expression that best completes the
10 What is the third term in the binomial expansion of (x - 2y)6statement or answers the question
(1)60x4y2 (2)-12x5y (3) 240x2y4 (4)-120x3jl 10
I The sum ofJ80 + 3J45 in simplest radical fonn is 11 1n right triangle ABC C is the right angle IfA C = 24 and BC = 32 (I) 4Es (2) 20Fs (3) 4Fs + 3-J4s (4) 13Fs what is the value of sec A
(1)24 (2)24 (3)40 (4)40 II 2 In right triangle ABC C is the right angle BC = 8 AC =15 What is the 32 40 24 32 value of cot A
(I)~ (2)~ (3) 1 (4) 12 2 12 If one root of a quadratic equation is 3 and the product of the roots is 15 17 15 8 8 what is the value of b if the equation is in the form ax2 + bx + c = 0 and a = I
(I) 5 (2) -5 (3) 8 (4) -8 123 Which equation best represents the accompanying graph
13 The zero(s) of the following graph are(I) y=2 (3)y= 2-X
(I) x = 0(2) y=x2+2 (4)y=-2x 0( ~x (2) x = 0 and x = 2
(3) Y = 02 x - 36 3 (4) Y = 0 and y = 2 13
2 fx - 49 4 Simplify 2x + 12 14 What is the exact value of the csc e if (52) is on the terminal side of e
2 in standard position ~ x - 7x ) x-6 x(x-6 x(x-6) x(x-3) (I) -~ (2) ~ (3)- m (4) -J29 14
2 29 2 2(I) 9 (2) 2(x-7) (3) 2 (x + 7) (4) x + 7 4
IS The following table shows the number of5 Tan-Ix is a function The domain of Tan x could be siblings of each student
(I)x -~ltxlt~ (3)x-2nltxlt0 in an Algebra class What
Siblings 0 I 2 3 4 7
Frequency 3 8 4 3 I
is the median for this data set (1) I (2) 18 (3) 35 (4) 4 15
(2)x-~ ltx ltn (4)x-nltxltn 5 16 Which equation has a diameter with endpoints (3 -2) and (-5 8) (1) (x+ 1)2+(y-3)2=41 (3) (x+3)2+(y-2)2= 1646 What number must be added to both sides of this equation to solve it
by completeing the square 3x2+ 15x = 9 (2) (x-I)2+(y+3)2 =41 (4) (x-3)2+(y+2)2= 2m 16
(1) 225 (2) 25 (3) 625 (4) 5 6 3
17 Rewrite this expression in simplest radical form (4x3y4 )2 7 Simplify ~32x6y4 (1))4x 9y t2 (2) 2x--J (3) 8xy -J (4raquo)8x6y 7 17
(I) 4x2y ~ (2) 8x2y ~ (3) 2x2y ~ (4)4xy ~ 7 18 If a transformation of ~ f(x) was performed on f(x) = sin x the
8 If Sin A = 18 and 90deg lt A lt 1800 what is the exact value of sin 2A resulting graph compared with the original graph would
7 (I) 120 (2) _120 (3) 240 (4) _ 240 (I) have ~ of the amplitude (3) move to the right ~ of a unit 8
289 289 289 289
(2) have ~ of the period (4) moveup~ofa unit 18
28 29 ALGEBRA 21 TRIGONOMETRY Test 3
19 The probability p that a snack bar will sell out of hot dogs on a summer day is 3S Use the nonnal approximation to estimate the probability that the snack bar will sell Ollt of hot dogs at least 70 of the 100 days it is open next summer (1)02ltplt03 (3)03ltplt04 (2) 002 ltp lt 003 (4) 003 ltp lt 004 19
20 Express as a single term in simplest fonn --- r- 2-12
(1)5+5Ji (2)~5J3 (3)S-1OJ3 (4)S-SJ3 20 ~ ~ ~ 7
21 What is the inverse of g(x) = ~ x + 4
(1) g x) = (3x + 12) --shy
2 (3x - 12)
(3) g-x) = ------- shy2
(2x - 8)(2) g(x)= 3 (4) g-l(x) = 3x-6
22 What is the graph of the solution set ofx2 - 2 - 3 gt 01
(1) 11(1 I 1 1 I 1 $ 1 I 1 I H+t+ 1 I cent -3 -2 -1 0 1 2 3
21
(2) 1(111111 1111111111 -3 -2 -1 0 1 2
~ 3
(3)
I I I I I I I $ I I I I I I I 1 I I $I I )0-3 -2 -1 0 1 2 3
(4) II II II I I I II I1 11 I 1 )0-3 -2 -1 0 1 2 3 22
23 What is the Iwrilld)(lrthegraph ofy=-S sint(x-yen-)
(1) 2[ (2 ) Sn (3)6n (4)4 23
I Ir wt () -~ alld cos 0 lt 0 what is the measure of eto the nearest degree I (I) U (2) 113 0 (3) 247deg (4) 293deg 24
1 H) central angle intercepts an arc ofa circle with a radius of 5 cm What is the Icngth of the arc to the nearest tenth ofa centimeter (1)02 (2)26 (3)6 (4)IS0 25
26 Michael deposited $200 into a bank account and did not make any further deposits or withdrawals The accompanying table shows the account balance for several years Which type of regression equation would best model this data
Elapsed time Account (years) Balance
2 $207 4 $21466 6 $22303 8 $23217 10 $24215 12 $25305
(1) Linear (2) Exponential (3) Logarithmic (4) Power 26
ALGEBRA 21 TRIGONOMETRY Test 3
27 Factor completely 81x - 441y2 (1) (x - 3y)(9x + 147y) (3) 9(3x - 7y)(3x + 7y) (2) 9(9x2- 49y2) (4) 9(3x - 7y)(3x - 7y) 27
Partn Answer aIlS questions in this part Each correct answer will receive 2
credits Clearly indicate the necessary steps includi ng appropriate formula substitutions diagrams graphs charts etc For all questions in this part a correct numerical answer with no work shown will receive only 1 credit
28 Each child in a family of 3 children is going to get a pel ()nc wants a dog or cat another wants a bird or rabbit and the third wants a frog or snake List a samplc space or draw a tree diagram and detennine the number ofpossiblc (lutcomGS
29 Find the degree measures of 2 angles one positive and one negative that are
co-tenninal with 135deg
30 Find tho exad value or[ x +)rwho x ~ 64
30 31 ALGEBRA 2 TRIGONOMETRY Test 3
7
31 Find the sum of the following geometric series L 4(3l-1
k~2
32 Beginning with cos2 e+ sin2 e= I use algebra to develop the Pythagorean identity that involves cot eand csc e
33 Find the 6th tenn for the sequence where an = 4a _I where a = 12 n J
34 If f(x) = 5x2 + 6 evaluate f(3)
35 Evaluate In(25) ~ 1~(20) Express the answer to the nearest thousandth
ALGEBRA 2 TRIGONOMETRY Test 3
Part III Answer all 3 questions in this part Each correct answer will receive 4
credits Clearly indicate the necessary steps including appropriate formula substitutions diagrams graphs charts etc Fomiddotr all questions in this part a correct numerical answer with no work shown will receive only 1 credit
36 Hotels are rated on the basis of one star to five stars The Soft Pillow Hotel chain rated all 50 of its hotels The data is shown in the accompanying table
Number of Stars
1 2 3 4
5
Frequency 7
10 22 8
3
a) Find the standard deviation of this se t of data to the nearest hundredth Indicate if you are using the sample or population standard deviation and justify your choice
b) How many hotels have ratings that fall within OIlC sllll(llId (il-viatioll
of the mean
37 Write an equation that is represented by this graph 4
4rc
-4
32 33 ALGEBRA 2 TRIGONOMETRY
Test 3 3 -I
38 Simplify this expression 27x 4 (16xy-Z)4 xtO ytO
Part IV Answer the question below The correct answer will receive 6 credits
Clearly indicate the necessary steps including appropriate formula substitutions diagrams graphs charts etc A correct numerical answer with no work shown will receive only 1 credit
39 The lengths of two adjacent sides of a parallelogram are 42 cm and 36 cm An angle of the parallelogram is 40deg Find the measure of the longest diagonal to the nearest tenth of a centimeter
ALGEBRA 2 TRIGONOMETRY Test 4 Part I
Answer all 27 questions in this part Each correct answer will receive 2 credits No partial credit wiJI be allowed For each question write in the space provided the numeral preceding the word or expression that best completes the statement or answers the question
I Solve for x x+2 x-2 - - =-shy
x 2x
(I) O 6 (2) 6 (3) 0-6 (4) -6 1___
2 The table below shows the amount of medicine found in the bloodstream over 8 hours following a dose of 10 mg
Time (hrs) I 0 I
I 2 3 I 4 I 5 I 6 7 Drug Amount (mg) I 10 8A I 73 61 I 48 I 37 I 25 19
The linear regression equation that best fits this data is (I) y = 079(1118)- (3) y = 968x - 117 (2)y= 1118(079)- (4)) =-1I7x+968 2___
_5
3 Find the exact value of 64 3 I I
(I) - 1024 (2)-8 (3) ~ 3___(J) 1024
4 Simplify 5x)24x3
(I) 20xZy~6xy (2) 9xZy~6xy (3) IOxy)6xy (4) [(hIJCIII
5 Which of the following graphs shows no correlation betwel 1I till V IIIthlts
- bull[-~ ~ []
bull bull ITTTT
(1) (2) (3) (4)
5 _ _ _
6 What is the exact value of sin 45deg
(1) I (2) 1 (3) fi (4) J3 6___2 2 2
7 If b2 - 4ac = - 9 the roots of the quadratic equation are (I) Real rational and unequal (3) Real and irrational (2) Real rational and equal (4) Imaginary
8 Which equation is equivalent to cosze + sinze = I (I) cotZe + I = cscze (3) I - secze = tan2e (2) I - sec2e = tanZe (4) 1 - cscz8 = cofe 8
I
r
28 29 ALGEBRA 21 TRIGONOMETRY Test 3
19 The probability p that a snack bar will sell out of hot dogs on a summer day is 3S Use the nonnal approximation to estimate the probability that the snack bar will sell Ollt of hot dogs at least 70 of the 100 days it is open next summer (1)02ltplt03 (3)03ltplt04 (2) 002 ltp lt 003 (4) 003 ltp lt 004 19
20 Express as a single term in simplest fonn --- r- 2-12
(1)5+5Ji (2)~5J3 (3)S-1OJ3 (4)S-SJ3 20 ~ ~ ~ 7
21 What is the inverse of g(x) = ~ x + 4
(1) g x) = (3x + 12) --shy
2 (3x - 12)
(3) g-x) = ------- shy2
(2x - 8)(2) g(x)= 3 (4) g-l(x) = 3x-6
22 What is the graph of the solution set ofx2 - 2 - 3 gt 01
(1) 11(1 I 1 1 I 1 $ 1 I 1 I H+t+ 1 I cent -3 -2 -1 0 1 2 3
21
(2) 1(111111 1111111111 -3 -2 -1 0 1 2
~ 3
(3)
I I I I I I I $ I I I I I I I 1 I I $I I )0-3 -2 -1 0 1 2 3
(4) II II II I I I II I1 11 I 1 )0-3 -2 -1 0 1 2 3 22
23 What is the Iwrilld)(lrthegraph ofy=-S sint(x-yen-)
(1) 2[ (2 ) Sn (3)6n (4)4 23
I Ir wt () -~ alld cos 0 lt 0 what is the measure of eto the nearest degree I (I) U (2) 113 0 (3) 247deg (4) 293deg 24
1 H) central angle intercepts an arc ofa circle with a radius of 5 cm What is the Icngth of the arc to the nearest tenth ofa centimeter (1)02 (2)26 (3)6 (4)IS0 25
26 Michael deposited $200 into a bank account and did not make any further deposits or withdrawals The accompanying table shows the account balance for several years Which type of regression equation would best model this data
Elapsed time Account (years) Balance
2 $207 4 $21466 6 $22303 8 $23217 10 $24215 12 $25305
(1) Linear (2) Exponential (3) Logarithmic (4) Power 26
ALGEBRA 21 TRIGONOMETRY Test 3
27 Factor completely 81x - 441y2 (1) (x - 3y)(9x + 147y) (3) 9(3x - 7y)(3x + 7y) (2) 9(9x2- 49y2) (4) 9(3x - 7y)(3x - 7y) 27
Partn Answer aIlS questions in this part Each correct answer will receive 2
credits Clearly indicate the necessary steps includi ng appropriate formula substitutions diagrams graphs charts etc For all questions in this part a correct numerical answer with no work shown will receive only 1 credit
28 Each child in a family of 3 children is going to get a pel ()nc wants a dog or cat another wants a bird or rabbit and the third wants a frog or snake List a samplc space or draw a tree diagram and detennine the number ofpossiblc (lutcomGS
29 Find the degree measures of 2 angles one positive and one negative that are
co-tenninal with 135deg
30 Find tho exad value or[ x +)rwho x ~ 64
30 31 ALGEBRA 2 TRIGONOMETRY Test 3
7
31 Find the sum of the following geometric series L 4(3l-1
k~2
32 Beginning with cos2 e+ sin2 e= I use algebra to develop the Pythagorean identity that involves cot eand csc e
33 Find the 6th tenn for the sequence where an = 4a _I where a = 12 n J
34 If f(x) = 5x2 + 6 evaluate f(3)
35 Evaluate In(25) ~ 1~(20) Express the answer to the nearest thousandth
ALGEBRA 2 TRIGONOMETRY Test 3
Part III Answer all 3 questions in this part Each correct answer will receive 4
credits Clearly indicate the necessary steps including appropriate formula substitutions diagrams graphs charts etc Fomiddotr all questions in this part a correct numerical answer with no work shown will receive only 1 credit
36 Hotels are rated on the basis of one star to five stars The Soft Pillow Hotel chain rated all 50 of its hotels The data is shown in the accompanying table
Number of Stars
1 2 3 4
5
Frequency 7
10 22 8
3
a) Find the standard deviation of this se t of data to the nearest hundredth Indicate if you are using the sample or population standard deviation and justify your choice
b) How many hotels have ratings that fall within OIlC sllll(llId (il-viatioll
of the mean
37 Write an equation that is represented by this graph 4
4rc
-4
32 33 ALGEBRA 2 TRIGONOMETRY
Test 3 3 -I
38 Simplify this expression 27x 4 (16xy-Z)4 xtO ytO
Part IV Answer the question below The correct answer will receive 6 credits
Clearly indicate the necessary steps including appropriate formula substitutions diagrams graphs charts etc A correct numerical answer with no work shown will receive only 1 credit
39 The lengths of two adjacent sides of a parallelogram are 42 cm and 36 cm An angle of the parallelogram is 40deg Find the measure of the longest diagonal to the nearest tenth of a centimeter
ALGEBRA 2 TRIGONOMETRY Test 4 Part I
Answer all 27 questions in this part Each correct answer will receive 2 credits No partial credit wiJI be allowed For each question write in the space provided the numeral preceding the word or expression that best completes the statement or answers the question
I Solve for x x+2 x-2 - - =-shy
x 2x
(I) O 6 (2) 6 (3) 0-6 (4) -6 1___
2 The table below shows the amount of medicine found in the bloodstream over 8 hours following a dose of 10 mg
Time (hrs) I 0 I
I 2 3 I 4 I 5 I 6 7 Drug Amount (mg) I 10 8A I 73 61 I 48 I 37 I 25 19
The linear regression equation that best fits this data is (I) y = 079(1118)- (3) y = 968x - 117 (2)y= 1118(079)- (4)) =-1I7x+968 2___
_5
3 Find the exact value of 64 3 I I
(I) - 1024 (2)-8 (3) ~ 3___(J) 1024
4 Simplify 5x)24x3
(I) 20xZy~6xy (2) 9xZy~6xy (3) IOxy)6xy (4) [(hIJCIII
5 Which of the following graphs shows no correlation betwel 1I till V IIIthlts
- bull[-~ ~ []
bull bull ITTTT
(1) (2) (3) (4)
5 _ _ _
6 What is the exact value of sin 45deg
(1) I (2) 1 (3) fi (4) J3 6___2 2 2
7 If b2 - 4ac = - 9 the roots of the quadratic equation are (I) Real rational and unequal (3) Real and irrational (2) Real rational and equal (4) Imaginary
8 Which equation is equivalent to cosze + sinze = I (I) cotZe + I = cscze (3) I - secze = tan2e (2) I - sec2e = tanZe (4) 1 - cscz8 = cofe 8
I
r
30 31 ALGEBRA 2 TRIGONOMETRY Test 3
7
31 Find the sum of the following geometric series L 4(3l-1
k~2
32 Beginning with cos2 e+ sin2 e= I use algebra to develop the Pythagorean identity that involves cot eand csc e
33 Find the 6th tenn for the sequence where an = 4a _I where a = 12 n J
34 If f(x) = 5x2 + 6 evaluate f(3)
35 Evaluate In(25) ~ 1~(20) Express the answer to the nearest thousandth
ALGEBRA 2 TRIGONOMETRY Test 3
Part III Answer all 3 questions in this part Each correct answer will receive 4
credits Clearly indicate the necessary steps including appropriate formula substitutions diagrams graphs charts etc Fomiddotr all questions in this part a correct numerical answer with no work shown will receive only 1 credit
36 Hotels are rated on the basis of one star to five stars The Soft Pillow Hotel chain rated all 50 of its hotels The data is shown in the accompanying table
Number of Stars
1 2 3 4
5
Frequency 7
10 22 8
3
a) Find the standard deviation of this se t of data to the nearest hundredth Indicate if you are using the sample or population standard deviation and justify your choice
b) How many hotels have ratings that fall within OIlC sllll(llId (il-viatioll
of the mean
37 Write an equation that is represented by this graph 4
4rc
-4
32 33 ALGEBRA 2 TRIGONOMETRY
Test 3 3 -I
38 Simplify this expression 27x 4 (16xy-Z)4 xtO ytO
Part IV Answer the question below The correct answer will receive 6 credits
Clearly indicate the necessary steps including appropriate formula substitutions diagrams graphs charts etc A correct numerical answer with no work shown will receive only 1 credit
39 The lengths of two adjacent sides of a parallelogram are 42 cm and 36 cm An angle of the parallelogram is 40deg Find the measure of the longest diagonal to the nearest tenth of a centimeter
ALGEBRA 2 TRIGONOMETRY Test 4 Part I
Answer all 27 questions in this part Each correct answer will receive 2 credits No partial credit wiJI be allowed For each question write in the space provided the numeral preceding the word or expression that best completes the statement or answers the question
I Solve for x x+2 x-2 - - =-shy
x 2x
(I) O 6 (2) 6 (3) 0-6 (4) -6 1___
2 The table below shows the amount of medicine found in the bloodstream over 8 hours following a dose of 10 mg
Time (hrs) I 0 I
I 2 3 I 4 I 5 I 6 7 Drug Amount (mg) I 10 8A I 73 61 I 48 I 37 I 25 19
The linear regression equation that best fits this data is (I) y = 079(1118)- (3) y = 968x - 117 (2)y= 1118(079)- (4)) =-1I7x+968 2___
_5
3 Find the exact value of 64 3 I I
(I) - 1024 (2)-8 (3) ~ 3___(J) 1024
4 Simplify 5x)24x3
(I) 20xZy~6xy (2) 9xZy~6xy (3) IOxy)6xy (4) [(hIJCIII
5 Which of the following graphs shows no correlation betwel 1I till V IIIthlts
- bull[-~ ~ []
bull bull ITTTT
(1) (2) (3) (4)
5 _ _ _
6 What is the exact value of sin 45deg
(1) I (2) 1 (3) fi (4) J3 6___2 2 2
7 If b2 - 4ac = - 9 the roots of the quadratic equation are (I) Real rational and unequal (3) Real and irrational (2) Real rational and equal (4) Imaginary
8 Which equation is equivalent to cosze + sinze = I (I) cotZe + I = cscze (3) I - secze = tan2e (2) I - sec2e = tanZe (4) 1 - cscz8 = cofe 8
I
r
32 33 ALGEBRA 2 TRIGONOMETRY
Test 3 3 -I
38 Simplify this expression 27x 4 (16xy-Z)4 xtO ytO
Part IV Answer the question below The correct answer will receive 6 credits
Clearly indicate the necessary steps including appropriate formula substitutions diagrams graphs charts etc A correct numerical answer with no work shown will receive only 1 credit
39 The lengths of two adjacent sides of a parallelogram are 42 cm and 36 cm An angle of the parallelogram is 40deg Find the measure of the longest diagonal to the nearest tenth of a centimeter
ALGEBRA 2 TRIGONOMETRY Test 4 Part I
Answer all 27 questions in this part Each correct answer will receive 2 credits No partial credit wiJI be allowed For each question write in the space provided the numeral preceding the word or expression that best completes the statement or answers the question
I Solve for x x+2 x-2 - - =-shy
x 2x
(I) O 6 (2) 6 (3) 0-6 (4) -6 1___
2 The table below shows the amount of medicine found in the bloodstream over 8 hours following a dose of 10 mg
Time (hrs) I 0 I
I 2 3 I 4 I 5 I 6 7 Drug Amount (mg) I 10 8A I 73 61 I 48 I 37 I 25 19
The linear regression equation that best fits this data is (I) y = 079(1118)- (3) y = 968x - 117 (2)y= 1118(079)- (4)) =-1I7x+968 2___
_5
3 Find the exact value of 64 3 I I
(I) - 1024 (2)-8 (3) ~ 3___(J) 1024
4 Simplify 5x)24x3
(I) 20xZy~6xy (2) 9xZy~6xy (3) IOxy)6xy (4) [(hIJCIII
5 Which of the following graphs shows no correlation betwel 1I till V IIIthlts
- bull[-~ ~ []
bull bull ITTTT
(1) (2) (3) (4)
5 _ _ _
6 What is the exact value of sin 45deg
(1) I (2) 1 (3) fi (4) J3 6___2 2 2
7 If b2 - 4ac = - 9 the roots of the quadratic equation are (I) Real rational and unequal (3) Real and irrational (2) Real rational and equal (4) Imaginary
8 Which equation is equivalent to cosze + sinze = I (I) cotZe + I = cscze (3) I - secze = tan2e (2) I - sec2e = tanZe (4) 1 - cscz8 = cofe 8
I
r
