2nd Revision Sheet aGr9

8/3/2019 2nd Revision Sheet aGr9

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Nour Al Maaref International School

General Directorate of Foreign Educaon, Saudi Ar abi a, Li cence No . 8 SAccredited by AdvancED, Special Permit No. 002, S 2006

Students Name: ..Grade: 9 Class: Date: / / 2011

Q1: Choose the correct answer:

1) Solve for w : 812 82 7 = w

48 328 28 .

a) 0.25 b) 0.5 c) 2 d) 4

2) B is a 5 12 matrix . For AB to be defined , what characteristic must A have ?

a) 5 columns b) 12 columns c) 5 rows d) 12 rows

3) What effect does multiplying the coordinates of a figure by0 2

2 0 have?

a) The figure is enlarged and rotated 90 o

clockwise.b The figure is reduced and rotated 90 o

anticlockwise.

c) The figure is reduced and reflected acrossthe X-axis.

d) The figure is enlarged and reflectedacross the Y-axis

4) P =1 01 2

1.5 2.1 0 , Q =2 0.4 66 6.4 0 , Which expression result in P =

1 0 10 1 0 ?

a) 2Q 05P b) Q 2 P c) P 2Q d) 2P 0.5Q5) For an m n matrix E , Which statement is always true?

a) ) It has m n entries b) It has m + n entries

c) It has an entries d) ) It has m columns and n rows

6) Which result is not equal to the other three?

a) 2 b)2 22 2 c) + d)

2 00 2

7) Which row-reduced matrix indicates a dependent system of equations?

a)1 00 1

11 b)

4 50 0

7c)

4 50 0

7d)

1 00 1

00

8) For the matrix product P =7 14 2

2 53 8 , which expression gives the value of

a) 4(-2)+2(3) b) 7(5) + (-1)8 c) 4(5) + 2(8) d) (-1)3 + 2(8)


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Nour Al Maaref International SchoolRiyadh Kingdom of Saudi Arabia

Supervised by the Ministry of Education, Deputy Ministry fir Education-Parallel EducationGeneral Directorate of Foreign Educaon, Saudi Ar abi a, Li cence No . 8 S

Accredited by AdvancED, Special Permit No. 002, S 2006


9) Which matrix can be used to rotate a figure 180o

about the origin?

a)0 1

1 0 b)1 1

1 1 c) 1 00 1 d)

1 11 1

10) Which matrix has a determinant of 0?

a)3 121 4 b)

3 121 4 c)

3 121 4 d)

3 12 1 4

11) Which operation cannot be used to solve a system of equations by using an augmentedmatrix and row reduction.

a) Multiplying any two rows together. b Switch any two rows.

c) Subtract one row from another. d) Multiply a row by a constant.

12) Which statement is a true statement about matrix G =2 34 6 ?

a) G has an inverse because the determinantis not 0.

b G has an inverse because the determinantis 0.

c) G has no inverse because the determinantis 0. d) G has no inverse because the determinantis not 0

13) In matrix A = , a < 0 , b > 0 , c > 0 , d < 0 , and det A 0 . Which of the

following is true?

a) A -1 has no negative entries. b A-1 has two negative entries..

c) A-1 has one negative entry. d) A-1 has three negative entries.

14) Which is the solution to the system represented by1 00 3

5 3 ?

a) (5 , -3) b) (2.5 , -3) c) (2.5 , -1) d) (5 , -1)

15) Which of the following functions has vertex below the X-axis?

a) f(x) = (x - 3) 2 b) f(x) = -2 x 2

c) f(x) = x 2 - 9 d) f(x) = - (x + 2) 2


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16) Which of the following functions has vertex below the X-axis?a) f(x) = (x - 3) 2 b) f(x) = -2 x 2

c) f(x) = x 2 - 9 d) f(x) = - (x + 2) 2

17) Which best describe s how the graph of thefunction y = x2 was transformed to produce thegraph shown?

a) translation 3 units right and 1 unit up

b) translation 3 units right and 1 unit down

c) translation 3 units left and 1 unit down

d) translation 3 units left and 1 unit up

18) Which gives the function rule for the parabola shown?

a) f(x) = (x 3)2 + 1 b) f(x) = (x + 3) 2 - 1

c) f(x) = - (x 3)2 + 1 d) f(x) = - (x + 3) 2 - 1

19) What is the range of the function graphed?

a) All real numbers b) y 1

c) y 1 d) -1 y 1

20) Which of the following is NOT true of the graph of the function f(x) = - x 2 6x + 5 ?

a) Its vertex is at (-3, 14) b) Its maximum value is 14

c) Its axis of symmetry is x = 14 d) its y-intercept is 521) Which equation represent the axis of symmetry for f(x) = 2x 2 4x + 8?

a) x = - 4 b) x = 1 c) x = 2 d) x = 5

22) Which function has 7 as its only zero?

a) f(x) = x(x - 7 ) b) g(x) = (x + 1)(x + 7 )

c) h(x) = (x - 7 ) 2 d) j(x) = (x + 7 ) 2

6

5

4

3

2

1

-7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7

-2-3

-4

-5

-6

-7


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34) Which best describes the graph of a quadratic function with discriminant of 4 ?a) Parabola with two X-intercept b) Parabola that opens upward

c) Parabola with no X-intercept d) Parabola that opens downward

35) Which of the following equations has roots of 4 ?

a) x = 8 b) x2 5 = 4 c) 14 + x 2 = 5 d) ) x = 2

36) Which is solution set of x2 7 x 0?

a) 0 < x < 7 b) 0 x 7

c) x < 0 or x > 7 d) x 0 or x 7

37) Which is solution set of x2 9 < 0?

a) -3 < x < 3 b) -9 x 9

c) x < -3 or x > 3 d) x < -9 or x > 9

38) If (7, 11) and (3, 11) are two points on a parabola , what is the the x-value of the vertexof the parabola

a) 3 b) 5

c) 11 d) 7

39) If y is a quadratic function of x , which value complete the table?

X -2 0 2 4 6Y -8 0 12 28 .

a) 12 b) 20

c) 48 d) 44

40) Which expression is equivalent to (2 5i) (2+ 5i)?

a) 10 i b) 4 + 10 i

c) 10 i d) 4 10 i


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41) Which expression is equivalent to (- 5 + 3i)2

?a) 16 15 i b) 16 30 i

c) 34 30 i d) 34 15 i

42) What is the absolute value of | 4 5 i | ?

a) 16 15 i b) 16 30 i

c) 34 30 i d) 34 15 i

43) Whats the degree of the monomial 5xy 4z ?

a) 6 b) 1

c) 5 d) 4

44) Whats the leading coefficient of the polynomial function h(x) = 7x 3 x6 + x? .

a) - 1 b) 7 c) 1 d) 6

45) Find the product a 2b(2a 3b 5ab 4) ?

a) -3a 4b-2 b) 2a 6 b 5a 2b4

c) 2a 5b2 5ab 4 d) 2a 5b2 5a 3b5

46) Whats the third term of the binomial expansion of (x 4)6 ?

a) 240x 4 b) 15x 4

c) 8x3 d) 160x 3

47) Whats the remainder of dividing x4 2 x3 + 3x + 1 by x - 3 ?

a) 35 b) x - 3

c) 37 d) x3 + x 2 + 3x + 12

48) Which expression is equivalent to ?

a) 6b + b)


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c) 2b + d)

49) Find the solutions of equations 8x 3 2x2 43x + 30 = 0?

a) 2 and b) 2 , 15 ,and 1

c) 2 , , and d) 1, 2, and -3

50) Which of the following is NOT a factor of g(x) of 6x 3 + 13x 2 - 4?

a) x + 2 b) 2 x - 1

c) x - 3 d) 3x + 2

51) Which polynomial function has zeros 0 , i, and -i ?

a) p(x) = x 3 + 2x 2 + 1 b) p(x) = x 3 + 2x 2 + x

c) p(x) = x 3 + x 2 d) p(x) = x 3 + x

52) f(x) = x 3 6x2 + 6x + 1 has three real zeros. How many real zeros does f(x) 6 have ? .

a) 1 b) 0 c) 2 d) 3

Q2: 4 51 2 find

.. ..

.. ...

Q3: Prove 2 23 4

2 1 1

.. ..

.. ...

Q4: Find1 1 05 0 61 2 1

.. ..


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Q5: 1 12 0 2 11 3 0 2 3 2 1 0 Find

1)

.. ..

.. ...2)

.. ..

.. ...3)

.. ..

.. ...Q6

1) Translate the triangle 2 units right and 2 units down... ..

.. ...2) Transform the triangle by the following matrix:

a)0 11 0 .

.. ..

.. ...

b)0 1

1 0 .

.. ..

.. ...c)

1 00 1 .

.. ..

.. ...

Q7 2 = 2 + 32 = 1

1) Cramers rule:.


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.. .... ..... ..

.. ...2) The inverse matrix:... ..

.. ...

.. .... ...

3) Augmented Matrix:... ..

. . ..... ..

.. ...Q8: Write the function f(x) = x 2 1 2 x + 39 in vertex form ; then find :

.. ..

.. ...i) The open: ..

ii) The symmetry axis : ..

iii) The vertex : ..

iv) The Y-intercept : ..v) The domain : ..

vi) The range : ..

vii) The X-intercepts : ..

viii) The roots are : ..

Q9: Solve inequality x2 4 x + 1 > 6 algebraically.

.. ..


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.. ..... ..

.. ...

.. ..

.. ...

Q10 : The graph of a quadratic function having the form f(x) = ax 2 + bx + c passes through thepoints (0, 8) , (3, 10), and (2, 3) . What is the value of the function when x = -3?

.. ..

.. ...

.. ..

.. ...

.. ..

.. ...

Q11 : Simplify:

1) 2 ( 2 + 5i) -3i (1 2 i ):.

.. ..

.. ..... ..

2) 3i (3 5 i)(2 4i) :.

.. ..

.. ..... ..

3)

.. ..

.. ...

.. ..

Q12 : For f(x) = 2x 2 + 4 x 6 and g(x) = 2x + 3. Find

1) 2 f(x) 5 g(x)

.. ..

.. ...


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2) f(x) . g(x) :... ..

.. ..... ..

3) f(x) /g(x)

.. ..

.. ...

.. ..

Q13 : Find all roots of each polynomial:

1) 8x4 - 27

.. ..

.. ...

.. ...2) 3x5 + 18x 4 + 27x 3 = 0

.. ..

.. ..... ..

3) x3 27 9x2 + 27x = 0.. ..

.. ...

.. ..

4) 64 + 27x 4

.. ..

.. ...

.. ...Q14 : Find the simplest polynomial functions with the given zeros:

1) 1 , -2 , 3

.. ..


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.. ..... ...2) 3 , 2i , 1

.. ..

.. ..... ..

Q14 : Let f(x) = x 3 7 x + 6x 5. Write a function g(x) that performs each transformation:

1) Reflect f(x) across the X-axis

.. ..

2) Reflect f(x) across the Y-axis.

.. ..

3) Translate f(x) 3 units right.

.. ..

4) Translate f(x) 2 units left.

.. .. 5) Translate f(x) 3 units up.

.. ..

6) Translate f(x) 4 units down.

.. ..

7) Stretch f(x) horizontally by 2.

.. ..

8) Compression f(x) horizontally by .

.. ..

9) Stretch f(x) vertically by .

.. ..

10) Compression f(x) vertically by 2.

.. ..


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2nd Revision Sheet aGr9