copy of reviewer in is i updated version

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Reviewer for College Entrance Test

Mathematics Volume I


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Reviewer for College Entrance Test--Mathematics Vol. No. I

1 Which of the following has a greater slope?

a. x - 3y = 7 c. 5x - 6y = 2b. x = 3y - 5 d. 3y - 2x = 7

2

a. 3 c. 2

b. 7 d. 1

3 What is the additive inverse of -(-(-89)) ?

a. 89 c. 0

b. -89 d. 1

4 If 9x - 6y = 11, then 12x -8y = n. What is the value of n ?

a. 23 / 8 c. 44 / 3b. 33 / 4 d. 44 / 9

5 If the slope of the line is zero, what is the orientation of the line ?

a. parallel to y-axis c. has no y-intercept

b. parallel to x-axis d. passes through the origin

6 Which of the following is a linear equation?

a. 3x(x - 1) + 3y = 7 c.

b. 2(x - 3) + 3y = -7 d. x + y = 3xy

7 What is the slope of the line passing through (-6, 5) and (-2, 3) ?a. 1/ 2 c. - 1/ 4

b. - 1/ 2 d. 1/ 4

8 Which of the following equations has the same y-intercept as 5x + 3y = 15 and is passing throug

the point (-2, 3) ?

a. x + y = 5 c. 3x + y = -3

b. x - y = -5 d. y - 2x = 7

9 Solve for the value of y in 2y + 5 = -3 - 10

a. -3 c. -9

b. 3 d. 9

10 Which of the following points does not lie in any of the quadrants?

a. (4, 5) c. (0, -1)

b. (3, 6) d. (-5, -2)

INSTRUCTION: Write the letter of the correct answer on the space provided.

What is the degree of the polynomial 5x2 - 7x3 + 4x7 -9x3 + 3x -9 ?

x2 - x + 1 = 0


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11 Which of the following is not a rational number?

a. 7.9 c. 2

b. d. 5/ 7

12 What is the LCD of 1 and 3y ?

2xy

a. c. 2xy

b. 3y d.

13 What is the y-intercept of the line whose equation is 3x - 6y + 7 = 0 ?

a. -1 1/ 6 c. 1 1/ 6

b. 6/ 7 d. -1 1/ 2

14a. c.

b. d.

15 What is the slope of the line passing through the points (1, 3) and (-3, 1) ?

a. 2 c. -2

b. 1/ 2 d. - 1/ 2

16

a. 4 c. 5

b. 7 d. 3

17 What is the equation of the line whose slope is -3 and is passing through the point (-3, 7) ?

a. y + 3x = -2 c. x + 3y = 9

b. 6x - 3 = -2y d. 6x + 3y = 5

18 Simplify: -3( 2 - -3 ) + 7( 8 - -2 )

a. -55 c. 8

b. 55 d. 3

19 Which of the following is parallel to 3x + y = 9 ?

a. y - x = 7 c. x + 3y = 9

b. 6x - 3 = -2y d. 6x + 3y = 5

20

a. 4x c. 0

b. ( -4x ) d. 1

9

2x2

2x2y2

2x2y

Evaluate: (-3x2

y)2

(5xy3

)0

9x4y2 15x3y6

(-9x4y2) (-15x3y6)

How many terms does the expression 3x2 - 2x3 + 4x7 -9 have?

Simplify: (x + 1)2 - (x + 1)2 ?


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21 Which of the following is/are true?

I IIIII

a. II c. I and III

b. I and II d. II and III

22 A man paid $ 31.60 sales tax when he purchased a new mower for $ 395.00. What is the

sales tax ratye in his community?

a. 7% c. 8%

b. 6% d. 7.50%

23 What is the solution of the equation x - 3(5 - x) = 7x + 3 ?

a. -18 c. 3b. -6 d. 18

24 200 is what percent of 40 ?

a. 500% c. 50%

b. 20% d. 200%

25 If x = -2, y = 2 and z = 5, evaluate ?

y - 2x

a. 6 c. 8

b. -7 d. 5

26

a. -2 c. 1

b. 2 d. -1

27

a. 2x + 7 c. 7 - 2x

b. 3x - 7 d. x - 7

28

a. c.

b. d.

29

a. -23 c. 11

b. -17 d. 17

30 Allan has 8 marbles than John does. If Allan has 21 marbles, how many does John has?

a. 13 c. 12

32 is a real number (a2 + b2) is a real number81 is rational

5y2 + 2z

What is the numerical coefficient of the monomial -m2 ?

Divide 2x2 + 3x - 14 by x - 2

Expand the expression (2x - 1)3 ?

8x3 - 12x2 + 6x - 1 8x3 - 12x2 - 6x - 1

8x3 + 12x2 + 6x - 1 8x3 + 12x2 - 6x - 1

If a = 3, b = -2 and c = -1, evaluate c + 3b - 2a2


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b. 14 d. 15

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31 If p is a multiple of 3 and q is a multiple of 5, which of the following is/are true?I p + q is even III 5p + 3q is a multiple of 15

II pq is od

a. none c. I and II only

b. III only d. I only

32 What is the solution set of 4x + 2

3

a. [-8, 7] c. (-8, 7]

b. (-8, 7) d. [-8, 7)

33

a. c.

b. 3xy(x + 5)(x - 5) d. not possible

34 Rewrite the linear equation (x -4)/2 = 2(y + 3) - 4x in standard form

a. 4x - 9y = 16 c. 9y - 4x = 16

b. 9x - 4y = 16 d. 5x - 3y = 12

35 Linda is 12 years older than Mikhail. If the square of Mikhail's age 3 years ago is equal to

Linda's age that time, how old is Mikhail now?

a. 19 c. 1

b. 7 d. 6

36 What is the equation of the line whose x and y intercepts are -4 and 5 respectively?

a. 5y - 4x = 1 c. 5x - 4y = -20

b. 3x - 2y = 7 d. 4x - 5y = 20

37 Express (2x - 3y)(2x + 3y) as a polynomial

a. c.

b. d.

38 Which of the following is not a solution of 3x + 2y -12 + 0 ?

a. (0, 6) c. (4, 2)b. (6, -3) d. (4, 0)

39 In what quadrant does the point (7, -8) located?

a. Q I c. Q III

b. Q II d. Q IV

40 Which of the following is perpendicular to 3x - 5y = 8 ?

a. 5x + 3y = 12 c. 3x - 4y = 10

10 ?

Factor: 3x3y - 75xy

3y(x2 - 25x) 3xy(x - 5)2

2x2 - 3y2 4x2 - 9y2

4x2 + 12xy - 9y2 4x2 - 12xy - 9y2


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b. 10x - 6y = 12 d. x + 4y = -3

4


41 If the slope of the line is undefined, what is the orientation of the line ?

a. parallel to y-axis c. has no y-intercept

b. parallel to x-axis d. passes through the origin

42

a. c.

b. d.

43 If 3x + 2y = 6 and 8x + Ay + 10 = 0, what is the value of A?

a. 3 c. - 10 / 3

b. 15 / 2 d. -10

44

a. c.

b. d.

45

a. c.

b. d.

46

a. c.b. d.

47 What is the GCF of 21 and 42?

a. 3 c. 21

b. 7 d. 42

48 Factor: 4(x - 3) - 3x(3 - x)

a. 12x(x - 3) c. 12x(3 - x)

b. (x - 3)(4 + 3x) d. (x - 3)(4 - 3x)

49 Find the sum of (x-3), (3x-5) and (9-5x)?

a. 3 + x c. 1 + xb. x + 3 d. 1 - x

50 What is the prime factorization of 108?

a. c.

b. d.

What is the product of (x2 - 3x + 1) and (x - 2) ?

x3 + 5x2 + 5x - 2 x3 - 5x2 - 7x + 2

x3 - 7x2 + 5x - 2 x3 - 5x2 + 7x - 2

Write the answer in scientific notation: (3.0 x 105)(1.5 x 10-9)

4.5 x 10-4 1.5 x 10-14

4.5 x 10-5 1.5 x 1014

Write the answer in scientific notation: (7.5 x 10-6) (2.5 x 10-3)

3.0 x 10-18 3.0 x 10-3

3.0 x 10-9 3.0 x 10-2

What is the solution of the inequality 3x - 4(x - 5) 2x + 1 ?

x 5 x 5x 7 x 7

22 * 33 22 * 3 * 6

22 * 32 23 * 32


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51 Which of the following points is a solution of the equation y = 4x - 3 ?

a. (-3, -15) c. (2, 4)

b. (-3, -9) d. (3, -9)

52 Which of the following numbers is not divisible by 7?

a. 8715 c. 65874

b. 27888 d. 38937

53 Which of the following is parallel to 4x - 3y = 10 ?

a. 3y + 4x = 10 c. 3x - 4y = 10

b. 6y - 8x = 12 d. x + 4y = -3

54 What is the multiplicative inverse of -(-(-2)) ?

a. - 1/8 c. - 1/2

b. 1/ 8 d. 1/ 2

55 Which of the following is/are true?

I all numbers are real III zero is an even number

II all decimals are rational

a. III c. I and III

b. I and II d. II and III

56

a. c.

b. d. none of the above

57 Simplify: {4(-11 - 7) + 9} + 5(5 - 9) ?

a. -83 c. 65

b. -28 d. 62

58 What is the slope o the line whose equation is 2(x + 1) - 3(y - 2) = 0 ?

a. - 2/ 3 c. 2/ 3

b. 3/2 d. -1 1/2

59

a. (0, 3) c. (4, 2)

b. (0, 1) d. (-1, 10)

60 Which of the following is not a prime number?

a. 111 c. 511

If a = 3 and b = -2, which of the following has the greatest value, ab2, a2b2 or a2b?

ab2 a2b

a2b2

Which of the following is not a solution of the inequality 2x + 3y - 6 0?


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b. 273 d. 771

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