5/9/2018 review for math assessment & placement: part d · assessment & placement: part d...

5/9/2018 Review For Math Assessment & Placement: Part D

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Student: _____________________ Date: _____________________

Instructor: Kaddour Boukaabar Program: CMAP4 Parts A_B_C_D

Assignment: Review For MathAssessment & Placement: Part D

ID: MC 18.4-6

Write as an exponential equation.

log 100,000 = 510

A. 10 = 100,0005

B. 5 = 100,00010

C. 10 = 100,000-5

D. 100,000 = 10-5

ID: MC 21.3-1

A point on the terminal side of angle is given. Find the exact value of the indicated trigonometric function of .θ θ

( , ) Find 18 24 sin θ.

A. 34

B. 45

C. 43

D. 35

ID: MC 18.4-16

Find the value of the logarithmic expression.

log 10010

A. − 2B. 1

100C. 2D. 20



4.

5.

6.

7.

ID: MC 18.5-9

Use the power property to rewrite the expression.

log x72

A. 2 log x72

B. 7 log xC. 2 log x7

D. 7 log x2

ID: MC 21.1-20

Convert the angle in radians to degrees.

−

π

2

A.−

π

2 °B. − 2°C. − 90π°D. − 90°

ID: MC 14.1-1

Find all values that make the expression undefined.

8m + 3

A. 0B. − 3C. Never undefinedD. 3

ID: MC 18.5-2

Express as the logarithm of a single expression. Assume that variables represent positive numbers.

log x + log yb b

A. log xy2b

B. log (x + y)b

C. log xyb

D. log (x + y)2b



8.

9.

10.

ID: MC 18.4-5

Write as a logarithmic equation.

10 = 1,0003

A. log 1,000 = 103

B. log 3 = 1,00010

C. log 1,000 = 310

D. log 10 = 1,0003

ID: MC 21.1-32

Find a positive angle less than 360 that is coterminal with the given angle.°

394°

A. 34°B. 24°C. 197°D. 214°

ID: MC 18.5-7


log x − log yb b

A.log b

xy

B. log x − yb

C.log 2b

xy

D.log b

yx



11.

12.

13.

ID: MC 18.7-9

Solve the equation.

log 9 + log x = 15 5

A. 19

B. 59

C. 9 5D. 9

5

ID: MC 21.2-10

Use an identity to find the value of the expression. Do not use a calculator.

sin 40° + cos 40°2 2

A. 0.16B. 0.4C. 1D. 0

ID: MC 21.1-19

Convert the angle in radians to degrees.

π

6

A. 1°B. π

6 °C. 30°D. 30π°



14.

15.

16.

ID: MC 18.4-10


log 82

A. 3B. 1

3C. 6D. 1

ID: MC 18.5-20


6 log q − log rb b

A. log q − rb6

B.log b

6qr

C. log q ÷ log rb6

b

D. log b

q6

r

ID: MC 21.2-1

Two sides of a right triangle ABC (C is the right angle) are given. Find the indicated trigonometric function of the given angle. Give an exact answer with a rational denominator.

Find sin θ.

A.sin θ =

4 9797

B.sin θ =

974

C.sin θ =

979

D.sin θ =

9 9797

9

4



17.

18.

19.

ID: MC 18.5-14

Write the expression as sums or differences of multiples of logarithms.

log y11x5

A. log 11x − log 5y y

B. log 6xy

C. log 11 + log x + log 5y y y

D. log 11 + log x − log 5y y y

ID: MC 21.3-2


( , ) Find 3 4 cos θ.

A. 45

B. 34

C. 35

D. 43

ID: MC 21.1-15

Convert the angle in degrees to radians. Express answer as a multiple of .π

60°

A. radians

π

2B.

radiansπ

4C.

radiansπ

3D.

radiansπ

5



20.

21.

22.

23.

ID: MC 21.2-9

is an acute angle and sin is . Use the Pythagorean identity to findθ θ sin θ =2 2

3 θ + θ = 1sin2 cos2 cos θ.

A. 3 24

B. 3C. 1

3D. 2 2

ID: MC 21.4-6

Determine the amplitude or period as requested.

Period of y = sin 3x

A. 2πB. 3C. 2π

3D. 1

ID: MC 21.3-21

Find the reference angle for the given angle.

430°

A. 110°B. 20°C. 160°D. 70°

ID: MC 21.6-11

Complete the identity.

?cot x • tan x =

A. 0B. 1C. 1−D. sin x



24.

25.

26.

ID: MC 21.3-25

Use reference angles to find the exact value of the expression. Do not use a calculator.

tan− 3π

4

A. 33

B. 3C. 1−D. 1

ID: MC 21.3-5


( , ) Find − 6 − 7 tan θ.

A.−

79

B. 76

C. 67

D.−

23

ID: MC 18.4-19


log 3127

A. 3B. 1

3C.

−19

D. − 3



27.

28.

29.

30.

ID: MC 17.5-17

Given , find f( ).f(x) = x − 4x + 12 − 1

A. 4B. − 4C. − 2D. 6

ID: MC 21.2-5

Two sides of a right triangle ABC (C is the right angle) are given. Find the indicated trigonometric function of the given angle. Give an exact answer with a rational denominator.

Find tan θ.

A.tan θ =

73

B.tan θ =

587

C.tan θ =

583

D.tan θ =

37

ID: MC 18.7-3

Solve the equation. Give an exact solution.

e = 63x

A. 3 ln 6B. ln 6

3C. ln 3

6D. 2 e

ID: MC 21.1-29

Draw the angle in standard position.

60°

A. B. C.

7

3



31.

32.

33.

34.

ID: MC 18.1-20

Given the values of f and g, find the function value.

; Find .f(2) = 4 g( − 11) = 2 (f ◦ g)( − 11)

A. 7B. − 4C. 4D. 11

ID: MC 18.3-12

Solve the equation.

4 = 256x

A. 3B. 5C. 4D. 64

ID: MC 18.1-15

For the given functions f and g, find the composition.

f ; Find .(x) = x + 3x2 g(x) = x + 3 (f ◦ g)(3)

A. 21B. 0C. 3 3D. 54

ID: MC 18.5-3


log 6 + log x3 3

A. log 6x3

B. log x18

C. log 63x

D. log (x + 6)3



1. A. 10 = 100,0005

2.B.

45

3. C. 2

4. C. 2 log x7

5. D. − 90°

6. B. − 3

7. C. log xyb

8. C. log 1,000 = 310

9. A. 34°

10.A. log b

xy

11.B.

59

12. C. 1

13. C. 30°

14. A. 3

15.D. log b

q6

r

16.D. sin θ =

9 9797



17. D. log 11 + log x − log 5y y y

18.C.

35

19.C. radians

π

3

20.C.

13

21.C.

2π3

22. D. 70°

23. B. 1

24. D. 1

25.B.

76

26. D. − 3

27. D. 6

28.A. tan θ =

73

29.B.

ln 63

30.

B.



31. C. 4

32. C. 4

33. D. 54

34. A. log 6x3

5/9/2018 review for math assessment & placement: part d · assessment & placement: part d...

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