Student: Date: Instructor: Kaddour Boukaabar Program: CMAP Parts A_B_C_D Assignment: Review For Math Assessment & Placement: Part D 1. Write as an exponential equation. log 100,000 = 10 10 = 100,000 10 = 100,000-10 = 100,000-100,000 = 10 ID: MC 18.-6 2. A point on the terminal side of angle θ is given. Find the exact value of the indicated trigonometric function of θ. ( 18, 2) Find sin θ. ID: MC 21.-1. Find the value of the logarithmic expression. log 100 10 2 1 100 2 20 ID: MC 18.-16 https://xlitemprod.pearsoncmg.com/api/v1/print/math 1/1
. Use the power property to rewrite the expression. 2 log 7x 2 log 7x 2 7 log x 2 log x 7 7 log x 2 ID: MC 18.-9. Convert the angle in radians to degrees. π 2 π 2 2 90π 90 ID: MC 21.1-20 6. Find all values that make the expression undefined. 8 m + 0 Never undefined ID: MC 1.1-1 7. Express as the logarithm of a single expression. Assume that variables represent positive numbers. log bx + log by log xy 2b log (x + y) b log xy b log (x + y) 2b ID: MC 18.-2 https://xlitemprod.pearsoncmg.com/api/v1/print/math 2/1
8. Write as a logarithmic equation. 10 = 1,000 log 1,000 = 10 log = 1,000 10 log 1,000 = 10 log 10 = 1,000 ID: MC 18.- 9. Find a positive angle less than 60 that is coterminal with the given angle. 9 2 197 21 ID: MC 21.1-2 10. Express as the logarithm of a single expression. Assume that variables represent positive numbers. log bx log by log b x y log bx y log 2b x y log b y x ID: MC 18.-7 https://xlitemprod.pearsoncmg.com/api/v1/print/math /1
11. Solve the equation. log 9 + log x = 1 1 9 9 9 9 ID: MC 18.7-9 12. Use an identity to find the value of the expression. Do not use a calculator. 2 2 sin 0 + cos 0 0.16 0. 1 0 ID: MC 21.2-10 1. Convert the angle in radians to degrees. π 6 1 π 6 0 0π ID: MC 21.1-19 https://xlitemprod.pearsoncmg.com/api/v1/print/math /1
1. Find the value of the logarithmic expression. log 8 2 1 6 1 ID: MC 18.-10 1. Express as the logarithm of a single expression. Assume that variables represent positive numbers. 6 log bq log br 6 log b q r log b 6q r 6 log bq log br log b q 6 r ID: MC 18.-20 16. 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. sin θ = 97 97 sin θ = 97 9 sin θ = 97 9 sin θ = 9 97 97 Find sin θ. ID: MC 21.2-1 https://xlitemprod.pearsoncmg.com/api/v1/print/math /1
17. Write the expression as sums or differences of multiples of logarithms. log y 11x log y11x log y log 6x y log 11 + log x + log y y y log 11 + log x log y y y ID: MC 18.-1 18. A point on the terminal side of angle θ is given. Find the exact value of the indicated trigonometric function of θ. (, ) Find cos θ. ID: MC 21.-2 19. Convert the angle in degrees to radians. Express answer as a multiple of π. 60 π radians 2 π radians π radians π radians ID: MC 21.1-1 https://xlitemprod.pearsoncmg.com/api/v1/print/math 6/1
20. θ is an acute angle and sin θ is sin θ = 2 2. Use the Pythagorean identity sin 2 θ + cos 2 θ = 1 to findcos θ. 2 1 2 2 ID: MC 21.2-9 21. Determine the amplitude or period as requested. Period of y = sin x 2π 2π 1 ID: MC 21.-6 22. Find the reference angle for the given angle. 0 110 20 160 70 ID: MC 21.-21 2. Complete the identity. cot x tan x =? 0 1 1 sin x ID: MC 21.6-11 https://xlitemprod.pearsoncmg.com/api/v1/print/math 7/1
2. Use reference angles to find the exact value of the expression. Do not use a calculator. tan π 1 1 ID: MC 21.-2 2. A point on the terminal side of angle θ is given. Find the exact value of the indicated trigonometric function of θ. ( 6, 7) Find tan θ. 7 9 7 6 6 7 2 ID: MC 21.- 26. Find the value of the logarithmic expression. log 1 27 1 1 9 ID: MC 18.-19 https://xlitemprod.pearsoncmg.com/api/v1/print/math 8/1
27. 2 Given f(x) = x x + 1, find f( 1). 2 6 ID: MC 17.-17 28. 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. 7 tan θ = 7 8 tan θ = 7 tan θ = 8 tan θ = 7 Find tan θ. ID: MC 21.2-29. Solve the equation. Give an exact solution. x e = 6 ln 6 ln 6 ln 6 2 e ID: MC 18.7-0. Draw the angle in standard position. 60 ID: MC 21.1-29 https://xlitemprod.pearsoncmg.com/api/v1/print/math 9/1
1. Given the values of f and g, find the function value. f(2) = ; g( 11) = 2 Find (f g)( 11). 7 11 ID: MC 18.1-20 2. Solve the equation. x = 26 6 ID: MC 18.-12. For the given functions f and g, find the composition. 2 f (x) = x + x; g(x) = x + Find (f g)(). 21 0 ID: MC 18.1-1. Express as the logarithm of a single expression. Assume that variables represent positive numbers. log 6 + log x log 6x log x 18 log 6 x log (x + 6) ID: MC 18.- https://xlitemprod.pearsoncmg.com/api/v1/print/math 10/1
1. 10 = 100,000 2.. 2. 2 log x 7. 90 6. 7. log xy b 8. log 1,000 = 10 9. 10. log b x y 11. 9 12. 1 1. 0 1. 1. q 6 log b r 16. sin θ = 9 97 97 https://xlitemprod.pearsoncmg.com/api/v1/print/math 11/1
17. log 11 + log x log y y y 18. 19. π radians 20. 1 21. 2π 22. 70 2. 1 2. 1 2. 7 6 26. 27. 6 28. tan θ = 7 29. ln 6 0. https://xlitemprod.pearsoncmg.com/api/v1/print/math 12/1
1. 2... log 6x https://xlitemprod.pearsoncmg.com/api/v1/print/math 1/1