Review Know all of the formulas of variations.

Review

Know all of the formulas of variations

Algebra II ReviewChapter 8

Question 1:As y varies directly with x, write an equation when y = 6 when x = 3

1. y = x2. y = 2x3. y= 1/2x4. y = 18/x5. 2y = x6. Not here

Question 2: As y varies inversely with the square of x and y = 1 when x = 2, what is the value of y when x = –4?

1. –22. –1/23. 1/44. 45. 166. Not here

Question 3: The area A of a triangle varies jointly as the base, B and the height H. If A= 12 when B = 6 and h = 4, find B when A =

36 and H = 8

1. 42. 93. 64. 85. 1/26. None given

Question 4: For which values of x is the expression undefined?

1. –1/3 and 7/22. 1/3 and –7/23. 1/3 and 7/24. –1/3 and –7/25. –5/2 and 7/26. Not here

2

2

6 13 5

6 23 7

x x

x x

Question 4: For which values of x is the expression undefined?

2

2

6 13 5

6 23 7

x x

x x

1. –1/3 and 7/22. 1/3 and –7/23. 1/3 and 7/24. –1/3 and –7/25. –5/2 and 7/26. Not here

Question 5: The area of a rectangle is equal to 3x2 + 11x – 4. If the length of the rectangle is equal to x + 4, determine its width

1. 3x – 12. 3x + 1 3. 3x + 44. 3x + 45. x – 76. Not here

Question 6: Simplify the following,

1. 2. 5x3y2

3. 5x7y2

4. 15x6y3/2

5. 6. Not here

2 2 5

3

12 5

2 6

x y x y

xy y

5 27

2

x y

5 22

7

x y

Question 6: Simplify the following,2 2 5

3

12 5

2 6

x y x y

xy y

5 27

2

x y

5 22

7

x y

1. 2. 5x3y2

3. 5x7y2

4. 15x6y3/2

5. 6. Not here


1. 4/32. (x – 4)/(x + 3)3. (x + 3)/(x + 3)4. (x + 3)(x + 4)5. (x + 4)(x – 3)6. Not here

12 216 9

3 4

x x

x x

Question 7: Simplify the following,12 216 9

3 4

x x

x x

1. 4/32. (x – 4)/(x + 3)3. (x + 3)/(x + 3)4. (x + 3)(x + 4)5. (x + 4)(x – 3)6. Not here

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Question 8: Which of these statements below is NOT a step to add and subtract rational expressions?

1. The common denominator is needed2. The greatest common factor is taken3. The factors can be “crossed–cancelled”4. The factors must be simplified5. B and C6. Not here

Question 8: Which of these statements below is NOT a step to add and subtract rational expressions?

1. The common denominator is needed

2. The greatest common factor is taken

3. The factors can be “crossed–cancelled”

4. The factors must be simplified

5. B and C6. Not here


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1. 2. 3. 4. 5. 6. Not here

2 2

3 2 2

6 15 3 5

4 28 48 6 9

x x x x

x x x x x

2

3 2

2 9 9

4 16

x x

x x

2

3 2

2 9 9

4 4

x x

x x

2

3 2

2 9 9

4 16

x x

x x

2

3 2

2 9 9

4 4

x x

x x

2

3 2

2 9 9

4 16

x x

x x

Question 9: Simplify the following,2 2

3 2 2

6 15 3 5

4 28 48 6 9

x x x x

x x x x x

2

3 2

2 9 9

4 16

x x

x x

2

3 2

2 9 9

4 4

x x

x x

2

3 2

2 9 9

4 16

x x

x x

2

3 2

2 9 9

4 4

x x

x x

2

3 2

2 9 9

4 16

x x

x x

1. 2. 3. 4. 5. 6. Not here


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Question 10: Simplify the following

1. 2. 3. 4. 5. 6. Not here

2

1 2

1 2 3 2

x x x

x x x x

22 2 1

( 1)( 2)

x x

x x

22 4

( 1)( 2)

x x

x x

22 7 4

( 1)( 2)

x x

x x

22 4

( 1)( 2)

x x

x x

2 2 4

( 1)( 2)

x x

x x

Question 10: Simplify the following2

1 2

1 2 3 2

x x x

x x x x

22 2 1

( 1)( 2)

x x

x x

22 4

( 1)( 2)

x x

x x

22 7 4

( 1)( 2)

x x

x x

22 4

( 1)( 2)

x x

x x

2 2 4

( 1)( 2)

x x

x x

1. 2. 3. 4. 5. 6. Not here


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Question 11: Simplify the following

1. 2. 3. 4. 5. 6. Not here

23 45 3xx

(3 4)

(5 3)

x

x

2

(3 4)(5 3)x x

(3 4)(5 3)

2

x x

(5 3)

(3 4)

x

x

2

(3 4)(5 3)x x

Question 11: Simplify the following23 45 3xx

(3 4)

(5 3)

x

x

2

(3 4)(5 3)x x

(3 4)(5 3)

2

x x

(5 3)

(3 4)

x

x

2

(3 4)(5 3)x x

1. 2. 3. 4. 5. 6. Not here


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Review Know all of the formulas of variations.

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