M4Sem2review1-60+key

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ALGEBRA 2 FINAL EXAM REVIEW

Multiple Choice

Identify the choice that best completes the statement or answers the question.

____ 1. Classify –6x5_{+ 4}_x3_{+ 3}_x2_{+ 11 by degree.}

a. quintic c. quartic

b. cubic d. quadratic

____ 2. Classify 8x4_{+ 7}_x3_{+ 5}_x2_{+ 8 by number of terms.}

a. trinomial c. polynomial of 5 terms

b. binomial d. polynomial of 4 terms

Consider the leading term of each polynomial function. What is the end behavior of the graph?

____ 3. 5x8−2x7−8x6+1

a. The leading term is 5x8_{. Since}_n_{is even and}_a_{is positive, the end behavior is} down and up.

b. The leading term is 5x8_{. Since}_n_{is even and}_a_{is positive, the end behavior is up and} down.

c. The leading term is 5x8. Since n is even and a is positive, the end behavior is up and up.

d. The leading term is 5x8_{. Since}_n_{is even and}_a_{is positive, the end behavior is down} and down.

____ 4. −3x5₊₉_x4₊₅_x3₊₃

a. The leading term is −3x5_{. Since}_n_{is odd and}_a_{is negative, the end behavior is up and} up.

b. The leading term is −3x5_{. Since}_n_{is odd and}_a_{is negative, the end behavior is} down and down.

c. The leading term is −3x5_{. Since}_n_{is odd and}_a_{is negative, the end behavior is} up and down.

d. The leading term is −3x5_{. Since}_n_{is odd and}_a_{is negative, the end behavior is down} and up.

Write the polynomial in factored form. ____ 5. x3_{+ 9}_x2_{+ 18}_x

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What are the zeros of the function? Graph the function. ____ 6. y = x(x−2)(x+ 5)

a. 2, –5 c. 0, 2, –5

b. 0, –2, 5 d. 2, –5, –2

____ 7. Divide 4x3 ₊ ₂_x2 ₊ ₃_x₊_{4 by}_x_{+ 4.}

a. 4x2 ₋ ₁₄_x₊ ₅₉ _{c. 4}_x2 ₋ ₁₄_x₊_{59, R –232} b. 4x2 ₊ ₁₈_x₋ _{53, R 240} _{d. 4}_x2 ₊ ₁₈_x₋₅₃

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____ 9. Use the Rational Root Theorem to list all possible rational roots of the polynomial equation

x3 ₋₆_x2 ₊₄_x₊ ₉ ₌ _{0. Do not find the actual roots.}

a. –9, –1, 1, 9 c. –9, –3, –1, 1, 3, 9

b. 1, 3, 9 d. no roots

Use Pascal’s Triangle to expand the binomial. ____ 10. (d− 2)6

a. d6 ₊ ₁₂_d5 ₊₆₀_d4 ₊₁₆₀_d3 ₊ ₂₄₀_d2 ₊₁₉₂_d_{+ +}₆₄ b. d6 ₋ ₆_d5 ₊₁₅_d4 ₋₂₀_d3 ₊ ₁₅_d2 ₋ ₆_d ₊₁

c. d6 ₋ ₁₂_d5 ₊₆₀_d4 ₋₁₆₀_d3 ₊ ₂₄₀_d2 ₋₁₉₂_d₊ ₆₄ d. d6 ₊ ₆_d5 ₊₁₅_d4 ₊₂₀_d3 ₊ ₁₅_d2 ₊ ₆_d ₊₁ ____ 11. Find all the real square roots of 0.0004.

a. 0.00632 and –0.00632 c. 0.0002 and –0.0002 b. 0.06325 and –0.06325 d. 0.02 and –0.02 Find the real-number root.

____ 12. −125 343 3

a. 25

49 b. −125343 c. −1029125 d. −57

Multiply and simplify if possible.

____ 13. 4 11 ⋅ 4 3

a. 3 b. 11 c. 11 34 d. 4 33

____ 14. 7xÊ x − 7 7

Ë Á Á Á Á

ˆ ¯ ˜˜˜ ˜

a. x 7 −49 x c. x 7 −x 49

b. 7x −49x d. − 42x

What is the simplest form of the expression?

____ 15. 3 108a16_b9

a. 3a5_b33 ₄_a _{c. 3}_a5_{b a}3

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What is the simplest form of the product?

____ 16. 50x7_y7 _⋅ ₆_xy4

a. 2x4y6 75y c. 5x4y6 12

b. 10x4_y5 ₃_y _{d. 30}_x4_y5 _y

What is the simplest form of the quotient?

____ 17. 162 3

2 3

a. 3 33 b. 3 162 c. 3 33 d. 3 3

What is the simplest form of the radical expression?

____ 18. 3 2a − 6 2a

a. −6 2a c. −3 2a

b. 9 2a d. not possible to simplify

What is the simplest form of the expression? ____ 19. 20+ 45 − 5

a. 4 5 c. 13 5

b. 6 5 d. 5 5

What is the product of the radical expression?

____ 20. 7Ê − 2

Ë Á Á Á Á ˆ ¯ ˜˜˜

˜ 8+ 2 Ê Ë Á Á Á Á ˆ ¯ ˜˜˜ ˜

a. 54 + 56 2 c. 13+ 15 2

b. 54 − 2 d. 58+ 56 2

____ 21.

5− 2

Ê Ë Á Á Á Á ˆ ¯ ˜˜˜

˜ 5+ 2 Ê Ë Á Á Á Á ˆ ¯ ˜˜˜ ˜

a. 23 c. 27

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How can you write the expression with rationalized denominator? ____ 22.

3 − 6

3 + 6

a. −1− 2 18

3 c. −3+ 2 2

b. −3− 2 18

9 d. 9− 2 18

____ 23.

2 + 3 3 6 3

a. 2 6 3

+9 183

6 c. 2 6

3

+9 43 6 b. 2 36

3

+ 3 23

6 d. 2 36

3

+3 43 6

Simplify.

____ 24. 3 1 3 _⋅ ₉

1 3

a. 9 b. 3 3 c. 3 d. 3

____ 25. 16 1 2

a. 162 c. 162

b. 4 d. 16

____ 26. Write the exponential expression 3x

3

8_{in radical form.}

a. 38 x3 _b. 8 ₃_x3 _{c. 3}3 _x8 _{d. 3}

3 8 8 _x3

What is the solution of the equation? ____ 27. 2x+8 −6 = −4

a. 4 b. –2 c. 12 d. –3

____ 28. (x+ 6)

3 5 = 8

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____ 29. Let f(x) = 4x− 5 and g(x) = 6x−3. Find f(x) − g(x).

a. 10x – 8 b. 10x – 2 c. –2x – 8 d. –2x – 2 ____ 30. Let f(x) = 3x+ 2 and g(x) = 7x+6. Find f⋅g and its domain.

a. 6x2 ₊ ₄_x₊ _{42; all real numbers except}_x_{= −}2 3 b. 6x2 ₊ ₄_x₊ _{42; all real numbers}

c. 21x2 ₊ ₃₂_x₊ _{12; all real numbers}

d. 21x2 ₊ ₃₂_x₊ _{12; all real numbers except}_x_{= −}6 7

____ 31. Let f(x) = x2 ₋ _{16 and}_g₍_x₎ ₌ _x₊_{4. Find}f

g and its domain.

a. x+4; all real numbers except x≠4 b. x+4; all real numbers except x≠ −4 c. x−4; all real numbers except x≠4 d. x−4; all real numbers except x≠ −4 ____ 32. Let f(x) = x+ 2 and g(x) = x2_{. Find}Ê_g _û_f

Ë Á

Á ˆ_¯˜˜(−5).

a. 9 b. –3 c. 49 d. –10

What is the inverse of the given relation? ____ 33. y = 7x2 ₋_3.

a. y = ± x+ 3

7 c. y2 = x−73

b. x = y+ 3

7 d. y = ± x−73

____ 34. y=3x+9 a. y= 1

3x+3 c. y=3x+3

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Graph the exponential function. ____ 35. y = 4x

a. c.

b. d.

____ 36. Suppose you invest $1600 at an annual interest rate of 4.6% compounded continuously. How much will you have in the account after 4 years?

a. $800.26 b. $6,701.28 c. $10,138.07 d. $1,923.23

____ 37. How much money invested at 5% compounded continuously for 3 years will yield $820?

a. $952.70 b. $818.84 c. $780.01 d. $705.78

Write the equation in logarithmic form. ____ 38. 25 ₌ ₃₂

a. log 32 = 5 ⋅2 c. log 32 = 5

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Evaluate the logarithm.

____ 39. log₅ 1 625

a. –3 b. 5 c. –4 d. 4

____ 40. log3243

a. 5 b. –5 c. 4 d. 3

____ 41. log 0.01

a. –10 b. –2 c. 2 d. 10

Write the expression as a single logarithm. ____ 42. 3 logbq+ 6 logbv

a. log_b(q3_v6₎ _c. ₍₃₊ ₆₎_log

bÊËÁÁq + vˆ¯˜˜

b. logb qv

3+6

Ê Ë Á Á Á Á

ˆ ¯ ˜˜˜

˜ d. logb q

3 ₊

v6

Ê Ë Á Á Á Á

ˆ ¯ ˜˜˜ ˜

____ 43. log₃4− log₃2

a. log32 b. log32 c. log 2 d. log 2

Expand the logarithmic expression.

____ 44. log3 d 12

a. log₃d− log₃12 c. log3d

log312

b. −dlog312 d. log312 −log3d

____ 45. log311p3

a. log311 ⋅3 log3p c. log311 +3 log3p b. log311 −3 log3p d. 11 log3p3 ____ 46. Use the Change of Base Formula to evaluate log₇28.

a. 1.712 c. 1.712

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Solve the exponential equation.

____ 47. 1

16 = 644x−3 a. 1

12 b. 14 c. 127 d. 1112

____ 48. 44x =8

a. 34 b. 83 c. 38 d. 2

Solve the logarithmic equation. Round to the nearest ten-thousandth if necessary. ____ 49. 3 log 2x = 4

a. 10.7722 b. 5 c. 2.7826 d. 0.6309

____ 50. Find the horizontal asymptote of the graph of y = −4x

6 ₊₆_x₊ ₃

8x6 ₊₉_x₊ ₃ .

a. y = 1 c. y = 0

b. y = −1₂ d. no horizontal asymptote

Simplify the rational expression. State any restrictions on the variable.

____ 51. p

2 ₋₄_p ₋₃₂

p+ 4

a. −p+ 8;p ≠ −4 c. −p− 8;p ≠ 4

b. p− 8;p ≠ −4 d. p+ 8;p ≠ 4

____ 52. q

2 ₊₁₁_q ₊₂₄

q2 ₋₅_q ₋₂₄ a. q+8

q−8; q ≠ −3,q ≠ −8 c.

q +8

q −8; q ≠ −3,q ≠ 8 b. −(q+ 8)

q− 8 ; q ≠ 8 d.

−(q+ 8)

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What is the product in simplest form? State any restrictions on the variable.

____ 53. 4a 5

7b4 ⋅ 2b2 2a4 a. 4a

9

7b6 , a ≠ 0, b ≠ 0 c.

7b2

4a , a ≠ 0, b ≠ 0

b. 4a

7b2 , a ≠ 0, b ≠ 0 d. 47a

9_b6_, _a

≠ 0, b ≠ 0

What is the quotient in simplified form? State any restrictions on the variable.

____ 54. x+ 2

x− 1 ÷

x +4

x2 ₊ ₄_x₋ ₅ a. (x+ 2)(x +5)

x +4 , x ≠ − 5,−4 c.

(x+2)(x+ 4)

(x− 1)2₍_x ₊₅₎ , x ≠ 1,− 5,−4 b. (x+ 2)(x +4)

(x− 1)2(x+5) , x ≠ 1,− 5 d.

(x+ 2)(x+ 5)

x +4 , x ≠ 1,−4

Simplify the sum.

____ 55. 7

a +8 + 7

a2 ₋ ₆₄ a. 7a− 49

(a− 8)(a+ 8) c.

14 (a− 8)(a+ 8)

b. 14

a2 + a− 56 d.

7a+ 63 (a− 8)(a+ 8)

Simplify the difference.

____ 56. b 2

−2b −8

b2 ₊_b −2 −

6

b− 1

a. b− 10 c. b −4

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Simplify the complex fraction.

____ 57. 2 5t −

3 3t

1 2t +

1 2t

a. −3₅ b. −4 c. −5₃ d. −1₄

____ 58. 4

x+ 3 1

x + 3

a. 12x+4

x2 ₊₃_x c.

4x

3x2 ₊₁₀_x ₊₃ b. 4x

3x+9 d. not here

Solve the equation. Check the solution.

____ 59. −2

x+ 4 = 4

x+3 a. −13

6 b. −11 c. −83 d. −113

____ 60. a

a2 −36 + 2

a− 6 = 1

a+ 6

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ALGEBRA 2 FINAL EXAM REVIEW

Answer Section

MULTIPLE CHOICE

1. ANS: A PTS: 1 DIF: L2 REF: 5-1 Polynomial Functions OBJ: 5-1.1 To classify polynomials STA: MA.912.A.2.5| MA.912.A.4.5

TOP: 5-1 Problem 1 Classifying Polynomials

KEY: degree of a polynomial | polynomial function | standard form of a polynomial function DOK: DOK 1

2. ANS: D PTS: 1 DIF: L2 REF: 5-1 Polynomial Functions OBJ: 5-1.1 To classify polynomials STA: MA.912.A.2.5| MA.912.A.4.5

TOP: 5-1 Problem 1 Classifying Polynomials

KEY: degree of a polynomial | polynomial function | standard form of a polynomial function DOK: DOK 1

3. ANS: C PTS: 1 DIF: L2 REF: 5-1 Polynomial Functions OBJ: 5-1.2 To graph polynomial functions and describe end behavior

STA: MA.912.A.2.5| MA.912.A.4.5

TOP: 5-1 Problem 2 Describing End Behavior of Polynomial Functions KEY: polynomial | end behavior DOK: DOK 1

4. ANS: C PTS: 1 DIF: L3 REF: 5-1 Polynomial Functions OBJ: 5-1.2 To graph polynomial functions and describe end behavior

STA: MA.912.A.2.5| MA.912.A.4.5

TOP: 5-1 Problem 2 Describing End Behavior of Polynomial Functions KEY: polynomial | end behavior DOK: DOK 1

5. ANS: D PTS: 1 DIF: L2

REF: 5-2 Polynomials, Linear Factors, and Zeros

OBJ: 5-2.1 To analyze the factored form of a polynomial

STA: MA.912.A.4.3| MA.912.A.4.5| MA.912.A.4.7| MA.912.A.4.8 TOP: 5-2 Problem 1 Writing a Polynomial in Factored Form

KEY: DOK: DOK 2

6. ANS: C PTS: 1 DIF: L3

REF: 5-2 Polynomials, Linear Factors, and Zeros

OBJ: 5-2.1 To analyze the factored form of a polynomial

STA: MA.912.A.4.3| MA.912.A.4.5| MA.912.A.4.7| MA.912.A.4.8 TOP: 5-2 Problem 2 Finding Zeros of a Polynomial Function DOK: DOK 2

7. ANS: C PTS: 1 DIF: L2 REF: 5-4 Dividing Polynomials OBJ: 5-4.1 To divide polynomials using long division

STA: MA.912.A.4.3| MA.912.A.4.4| MA.912.A.4.6

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9. ANS: C PTS: 1 DIF: L2 REF: 5-5 Theorems About Roots of Polynomial Equations OBJ: 5-5.1 To solve equations using the Rational Root Theorem

STA: MA.912.A.4.6| MA.912.A.4.7 TOP: 5-5 Problem 1 Finding a Rational Root KEY: Rational Root Theorem DOK: DOK 1

10. ANS: C PTS: 1 DIF: L2 REF: 5-7 The Binomial Theorem OBJ: 5-7.1 To expand a binomial using Pascal's Triangle STA: MA.912.A.4.12

TOP: 5-7 Problem 1 Using Pascal's Triangle KEY: Pascal's Triangle | expand DOK: DOK 2

11. ANS: D PTS: 1 DIF: L4 REF: 6-1 Roots and Radical Expressions OBJ: 6-1.1 To find nth roots STA: MA.912.A.10.3

TOP: 6-1 Problem 1 Finding All Real Roots KEY: nth root DOK: DOK 1

12. ANS: D PTS: 1 DIF: L3 REF: 6-1 Roots and Radical Expressions OBJ: 6-1.1 To find nth roots STA: MA.912.A.10.3

TOP: 6-1 Problem 2 Finding Roots KEY: radicand | index | nth root DOK: DOK 1

REF: 6-2 Multiplying and Dividing Radical Expressions

OBJ: 6-2.1 To multiply and divide radical expressions STA: MA.912.A.6.2| MA.912.A.10.3 TOP: 6-2 Problem 1 Multiplying Radical Expressions KEY:

DOK: DOK 1

14. ANS: A PTS: 1 DIF: L4

OBJ: 6-2.1 To multiply and divide radical expressions STA: MA.912.A.6.2| MA.912.A.10.3 TOP: 6-2 Problem 1 Multiplying Radical Expressions KEY:

DOK: DOK 2

OBJ: 6-2.1 To multiply and divide radical expressions STA: MA.912.A.6.2| MA.912.A.10.3 TOP: 6-2 Problem 2 Simplifying a Radical Expression KEY: simplest form of a radical DOK: DOK 1

16. ANS: B PTS: 1 DIF: L3

OBJ: 6-2.1 To multiply and divide radical expressions STA: MA.912.A.6.2| MA.912.A.10.3 TOP: 6-2 Problem 3 Simplifying a Product KEY: simplest form of a radical DOK: DOK 2

OBJ: 6-2.1 To multiply and divide radical expressions STA: MA.912.A.6.2| MA.912.A.10.3 TOP: 6-2 Problem 4 Dividing Radical Expressions KEY: simplest form of a radical DOK: DOK 1

18. ANS: C PTS: 1 DIF: L2 REF: 6-3 Binomial Radical Expressions OBJ: 6-3.1 To add and subtract radical expressions STA: MA.912.A.6.2

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19. ANS: A PTS: 1 DIF: L3 REF: 6-3 Binomial Radical Expressions OBJ: 6-3.1 To add and subtract radical expressions STA: MA.912.A.6.2

TOP: 6-3 Problem 3 Simplifying Before Adding or Subtracting DOK: DOK 2

20. ANS: B PTS: 1 DIF: L2 REF: 6-3 Binomial Radical Expressions OBJ: 6-3.1 To add and subtract radical expressions STA: MA.912.A.6.2

TOP: 6-3 Problem 4 Multiplying Binomial Radical Expressions DOK: DOK 1

21. ANS: A PTS: 1 DIF: L3 REF: 6-3 Binomial Radical Expressions OBJ: 6-3.1 To add and subtract radical expressions STA: MA.912.A.6.2

TOP: 6-3 Problem 5 Multiplying Conjugates DOK: DOK 1

22. ANS: C PTS: 1 DIF: L3 REF: 6-3 Binomial Radical Expressions OBJ: 6-3.1 To add and subtract radical expressions STA: MA.912.A.6.2

TOP: 6-3 Problem 6 Rationalizing the Denominator DOK: DOK 1

23. ANS: D PTS: 1 DIF: L2 REF: 6-3 Binomial Radical Expressions OBJ: 6-3.1 To add and subtract radical expressions STA: MA.912.A.6.2

TOP: 6-3 Problem 6 Rationalizing the Denominator DOK: DOK 1

24. ANS: C PTS: 1 DIF: L3 REF: 6-4 Rational Exponents OBJ: 6-4.1 To simplify expressions with rational exponents STA: MA.912.A.6.3| MA.912.A.6.4 TOP: 6-4 Problem 1 Simplifying Expressions with Rational Exponents

KEY: rational exponents DOK: DOK 1

25. ANS: B PTS: 1 DIF: L2 REF: 6-4 Rational Exponents OBJ: 6-4.1 To simplify expressions with rational exponents STA: MA.912.A.6.3| MA.912.A.6.4 TOP: 6-4 Problem 1 Simplifying Expressions with Rational Exponents

26. ANS: A PTS: 1 DIF: L2 REF: 6-4 Rational Exponents OBJ: 6-4.1 To simplify expressions with rational exponents STA: MA.912.A.6.3| MA.912.A.6.4 TOP: 6-4 Problem 2 Converting Between Exponential and Radical Form

REF: 6-5 Solving Square Root and Other Radical Equations OBJ: 6-5.1 To solve square root and other radical equations STA: MA.912.A.6.4| MA.912.A.6.5| MA.912.A.10.3

TOP: 6-5 Problem 1 Solving a Square Root Equation KEY: square root equation DOK: DOK 2

REF: 6-5 Solving Square Root and Other Radical Equations OBJ: 6-5.1 To solve square root and other radical equations STA: MA.912.A.6.4| MA.912.A.6.5| MA.912.A.10.3

TOP: 6-5 Problem 2 Solving Other Radical Equations KEY: radical equation DOK: DOK 2

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31. ANS: D PTS: 1 DIF: L3 REF: 6-6 Function Operations OBJ: 6-6.1 To add, subtract, multiply, and divide functions STA: MA.912.A.2.7| MA.912.A.2.8 TOP: 6-6 Problem 2 Multiplying and Dividing Functions DOK: DOK 2

32. ANS: A PTS: 1 DIF: L3 REF: 6-6 Function Operations OBJ: 6-6.2 To find the composite of two functions STA: MA.912.A.2.7| MA.912.A.2.8 TOP: 6-6 Problem 3 Composing Functions KEY: composite function

DOK: DOK 2

REF: 6-7 Inverse Relations and Functions

OBJ: 6-7.1 To find the inverse of a relation or function STA: MA.912.A.2.11 TOP: 6-7 Problem 2 Finding an Equation for the Inverse KEY: inverse relation DOK: DOK 2

REF: 6-7 Inverse Relations and Functions

OBJ: 6-7.1 To find the inverse of a relation or function STA: MA.912.A.2.11 TOP: 6-7 Problem 2 Finding an Equation for the Inverse KEY: inverse relation DOK: DOK 2

REF: 7-1 Exploring Exponential Models

OBJ: 7-1.1 To model exponential growth and decay STA: MA.912.A.8.1| MA.912.A.8.3| MA.912.A.8.7

TOP: 7-1 Problem 1 Graphing an Exponential Function KEY: exponential function DOK: DOK 2

REF: 7-2 Properties of Exponential Functions

OBJ: 7-2.2 To graph exponential functions that have base e

STA: MA.912.A.2.5| MA.912.A.2.10| MA.912.A.8.1| MA.912.A.8.3| MA.912.A.8.7

TOP: 7-2 Problem 5 Continuously Compounded Interest KEY: continuously compounded interest DOK: DOK 2

REF: 7-2 Properties of Exponential Functions

OBJ: 7-2.2 To graph exponential functions that have base e

STA: MA.912.A.2.5| MA.912.A.2.10| MA.912.A.8.1| MA.912.A.8.3| MA.912.A.8.7

TOP: 7-2 Problem 5 Continuously Compounded Interest KEY: continuously compounded interest DOK: DOK 2

REF: 7-3 Logarithmic Functions as Inverses

OBJ: 7-3.1 To write and evaluate logarithmic expressions

STA: MA.912.A.2.5| MA.912.A.2.11| MA.912.A.8.1| MA.912.A.8.3 TOP: 7-3 Problem 1 Writing Exponential Equations in Logarithmic Form KEY: logarithm DOK: DOK 2

STA: MA.912.A.2.5| MA.912.A.2.11| MA.912.A.8.1| MA.912.A.8.3

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40. ANS: A PTS: 1 DIF: L2 REF: 7-3 Logarithmic Functions as Inverses

TOP: 7-3 Problem 2 Evaluating a Logarithm KEY: logarithm DOK: DOK 2

42. ANS: A PTS: 1 DIF: L3 REF: 7-4 Properties of Logarithms OBJ: 7-4.1 To use the properties of logarithms STA: MA.912.A.8.2| MA.912.A.8.6 TOP: 7-4 Problem 1 Simplifying Logarithms DOK: DOK 2

43. ANS: A PTS: 1 DIF: L2 REF: 7-4 Properties of Logarithms OBJ: 7-4.1 To use the properties of logarithms STA: MA.912.A.8.2| MA.912.A.8.6 TOP: 7-4 Problem 1 Simplifying Logarithms DOK: DOK 2

44. ANS: A PTS: 1 DIF: L2 REF: 7-4 Properties of Logarithms OBJ: 7-4.1 To use the properties of logarithms STA: MA.912.A.8.2| MA.912.A.8.6 TOP: 7-4 Problem 2 Expanding Logarithms DOK: DOK 2

45. ANS: C PTS: 1 DIF: L3 REF: 7-4 Properties of Logarithms OBJ: 7-4.1 To use the properties of logarithms STA: MA.912.A.8.2| MA.912.A.8.6 TOP: 7-4 Problem 2 Expanding Logarithms DOK: DOK 2

46. ANS: A PTS: 1 DIF: L3 REF: 7-4 Properties of Logarithms OBJ: 7-4.1 To use the properties of logarithms STA: MA.912.A.8.2| MA.912.A.8.6 TOP: 7-4 Problem 3 Using the Change of Base Formula KEY: Change of Base Formula DOK: DOK 2

REF: 7-5 Exponential and Logarithmic Equations

OBJ: 7-5.1 To solve exponential and logarithmic equations STA: MA.912.A.8.5 TOP: 7-5 Problem 1 Solving an Exponential Equation – Common Base

KEY: exponential equation DOK: DOK 2

OBJ: 7-5.1 To solve exponential and logarithmic equations STA: MA.912.A.8.5 TOP: 7-5 Problem 1 Solving an Exponential Equation – Common Base

KEY: exponential equation DOK: DOK 2

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51. ANS: B PTS: 1 DIF: L2 REF: 8-4 Rational Expressions OBJ: 8-4.1 To simplify rational expressions STA: MA.912.A.10.3

TOP: 8-4 Problem 1 Simplifying a Rational Expression KEY: rational expression | simplest form DOK: DOK 2

52. ANS: C PTS: 1 DIF: L3 REF: 8-4 Rational Expressions OBJ: 8-4.1 To simplify rational expressions STA: MA.912.A.10.3

TOP: 8-4 Problem 1 Simplifying a Rational Expression KEY: rational expression | simplest form DOK: DOK 2

53. ANS: B PTS: 1 DIF: L2 REF: 8-4 Rational Expressions OBJ: 8-4.2 To multiply and divide rational expressions STA: MA.912.A.10.3

TOP: 8-4 Problem 2 Multiplying Rational Expressions KEY: rational expression | simplest form DOK: DOK 2

54. ANS: D PTS: 1 DIF: L3 REF: 8-4 Rational Expressions OBJ: 8-4.2 To multiply and divide rational expressions STA: MA.912.A.10.3

TOP: 8-4 Problem 3 Dividing Rational Expressions KEY: rational expression | simplest form DOK: DOK 2

REF: 8-5 Adding and Subtracting Rational Expressions OBJ: 8-5.1 To add and subtract rational expressions

TOP: 8-5 Problem 2 Adding Rational Expressions DOK: DOK 2

TOP: 8-5 Problem 3 Subtracting Rational Expressions DOK: DOK 2

TOP: 8-5 Problem 4 Simplifying a Complex Fraction KEY: complex fraction DOK: DOK 2

59. ANS: D PTS: 1 DIF: L2 REF: 8-6 Solving Rational Equations OBJ: 8-6.1 To solve rational equations TOP: 8-6 Problem 1 Solving a Rational Equation

KEY: rational equation DOK: DOK 2

60. ANS: A PTS: 1 DIF: L4 REF: 8-6 Solving Rational Equations OBJ: 8-6.1 To solve rational equations TOP: 8-6 Problem 1 Solving a Rational Equation