1st Quarter Exam Math 8 272e3

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MATHEMATICS 8 First Quarter Examination NAME:__________________________________ ME:__________________________________

DATE:___________________

SCORE:_____________

Direction: Write the letter of the correct answer. Use CAPITAL LETTERS only. A.

B.

Matching Type:: Match the expressions to the method used to factor it. _____ 1) 8m2 – 5m – 3

A. Factoring by Grouping

_____ 2) x2 + 7x + 10

B. Common (GCF)

_____ 3) x2 + 3x + 2xy + 6y

C. Difference of Squares

_____ 4) 3x2 + 6x

D. Quadratic, a = 1

_____5) 25x2- 100y2

E. Quadratic, a ≠ 1

Multiple Choice.

_______1. Write an algebraic expression for the sum of a number and 8. A. 8x

B. x - 8

C. x + 8

D.. x ÷ 8

_______2. Write an algebraic expression for 27 decreased by a number. A. 27 + m

B. 27 - m

C. m - 27

D. D 27

B. 30

C. 11

D. D 66

C. 27

D. D 18

_______3. Evaluate 6(8 - 3). A. 45

_______4. Evaluate 2k + m if k = 11 and m = 5. A. 32

B. 216

_______5. Find the solution of x + 4 = 7 if the replacement set is {1, 2, 3, 4, 5}. A. 1

B B. 3

C. 4

D. D 2

_______6. Find the solution set for x ÷ 2 < 3 if the replacement set is {1, 2, 3, 4, 5, 6, 7}. A. {1, 2, 3, 4, 5, 6}

B. {1, 2, 3, 4, 5}

C. {6, 7}

D. D {7 }

_______7. Name the property used in n + 0 = 7. A. Multiplicative Inverse Property B. Additive Identity Property

C. Substitution Property D. Multiplicative Identity Property

_______8. Evaluate 13 + 6 + 7 + 4. A. 2184

B. 29

C. 20

D. 30

C. 29

D. 28

B. 9b + 3c

C. 7b + 5c

D. 5b + 3c

B. 7g + 3

C. 10g + 15

D. 7g + 8

C. 6x + 3y

D. 5x + 11y

_______9. Evaluate 29 · 1 + 2(20 ÷ 4 - 5). A. 0

B. 30

_______10. Simplify 7b + 2b + 3c. A. 12bc _______11. Simplify 5(2g + 3). A. 10g + 3

_______12. Simplify 3(2x + 4y - y). A. 5x + 6y

B. 6x + 9y

_______13. Use the Distributive Property to find 6(14 + 7). A. 91

B. 126

C. 42

D. 56

C. 3r2 - 2r3

D. 4r2

C. 14a + 4b

D. 6a + 7b

_______14. Simplify r2 - 2r3 + 3r2. A. 4r2 - 2r3

B. 2r

_______15. Simplify 2(a + 3b) + 3(4a + b). A. 6a + 6b

B. 14a + 9b

________16. Which of the following is TRUE about the polynomial 10 x 4 − 3w 3 + 7 w + 5 y 5 − 4 ? A. degree 5; trinomial C. degree 13; trinomial B. degree 5; multinomial D. degree 14; binomial

(

) (

________17. Perform the indicated operations: 9 x 2 + 9 x 4 + 4 + 6 x 3 − 5 + 2 x 3 +5 x 4 +3 x 2 4 3 2 4 3 2 A. 4 x + 8 x + 12 x + 9 C. 4 x + 4 x + 6 x − 1 4 3 2 4 3 2 B. 14 x + 8 x + 12 x + 9 D. 14 x + 8 x + 12 x − 1

)

For nos. 18 – 23 , use the rules on exponents to simplify each expression.

________18. (-6x)(-3x2) A. 18x3

B. -18x3

C. 18x2

D. -18x2

B. 6x3y5

C. 5x2y5

D. 5x3y5

________19. (2xy2)(3x2y3)

A. 6x2y5

(x3y2)5

________20. A. x15y10

 6x3 y 2  2y ________21. 

  

B. x8y7

C. x-2y-3

D. 15x10y

B. 6x6y2

C. 9x6y2

D. 6x5y3

8 3 B. −2 x y

8 3 3 C. x y z

−2 x8 y 3 z3 D.

2

A. 3x3y

−4 x11 y 12 z 7 2 x 3 y 9 z10

________22. x8 y3 3 A. 2 z

(x ) (x )

x

−7

5 −4

− 2 −8

_________23. A. x 4

B.

1 x11

C.

1 x 43

D.

x 43

For nos. 24 – 29, find each product.

________24. 5(t + 3) A. t5 + 15  

________25.  x +

C. t5 - 15

B. 5t - 15 4  4  x −  6  6

4 4 x− 3 9 4 2 B. x − 9

2 A. x −

________26. (4 x − 3 y )

C.

D.

4 4 x− 3 9 4 x2 + 9 x2 +

2

A. 16 x 2 + 9 y 2

C. 16 x 2 − 24 xy + 9 y 2

B. 4 x 2 − 24 xy + 9 y 2

2 2 D. 4 x + 9 y

________27. (x + 3)(x + 5) A . x2 + 8x + 15 B. x2 + 15

C. D.

2x + 8 2x + 15

C. D.

2n2 + 5n - 12 2n2 + 11n + 1

________ 28. (2n - 3)(n + 4) A. 3n + 1 B. 2n2 - 12

D. 5t + 15

________29. (x + 3)(2x2 - 4x + 8). A. 2x3 + 10x2 + 20x + 24 B. 4x2 - 4x + 24

________ 30. What is

divided by

C. D.

12x2 + 20x + 24 2x3 + 2x2 - 4x + 24

?

A. B.

C. D.

________ 31. A polynomial that CANNOT be factored is called A. prime B. composite

C. odd D. even

________ 32. Which of the following is a factor of 2x2 + 15x + 18? A. x + 3 B. x + 6

C. 2x + 6 D. 2x + 9

________ 33. The value of c that makes the trinomial x2 - 8x + c a perfect square is A. 64

B. 16

C. 4

D.

-8

C. (u - 4)(u + 7)

D.

(u - 4)(u - 7)

C . (18x - 2)(x - 5)

D. (3x - 2)(6x - 5)

For nos. 34 – 40, factor each polynomial completely. ________ 34. s2 + 7s + 1 A. (s + 5)(s + 2)

________35.

B. (s + 10)(s + 7)

C. (s + 10)(s - 1) D. (s - 5)(s - 2)

u2 - 11u + 28

A. (u + 4)(u - 7)

B. (u + 4)(u + 7)

________36. 18x 2 + 15x + 12x + 10 A. (18x + 2)(x + 5)

B . (3x + 2)(6x + 5)

________37. x 4 – 16 A. (x + 2)2 (x - 2)2 B. (x 2 - 4)(x + 2)(x - 2) ________38. 343y3 – 1000 A. B. C. D.

(7y + 10)(49y2 - 70y + 100) (7y - 10)(49y2 + 100) (7y - 10)(49y2 + 70y + 100) (343y - 10)(y2 + 70y + 100)

C. (x 2 + 4)(x + 2)(x - 2) D. Prime

________39. 121r2 - 64t2 A. B. C. D.

(11r + 8t)(11r - 8t) (11r - 8t)(11r - 8t) (11r + 8t)(11r + 8t) prime

________40. 24x2y - 66xy2 + 54x2y2 A. B. C. D.

2xy(12x - 33y + 27xy) 6x2y2(4y - 11x + 9) (4x2 + 6y)(6x - 9y2) 6xy(4x - 11y + 9xy)

For nos. 41 – 45, simplify each rational expression. ________41. The expression

is equivalent to

A. B. C. D.

________42. Which expression represents

in simplest form?

A. 0 B. C. D.

________43. Which expression is in simplest form? A. B. C. D.

________44. Which expression represents A. B. C. D.

in simplest form?

________45. For all values of x for which the expression is defined,

is equivalent to

A. B. C. D.

II. Problem Solving. 1. The polynomial 3x3 + 8x2 + 4x represents the volume of a right prism with a rectangular base. The binomial x2 + 2x represents the area of the base B of this prism. If the volume of a right prism has the formula V= Bh, what binomial represents the height of this prism?

2. The area of a parallelogram is 3a2 + 5a – 28 and its height is (a + 4). If the area of a parallelogram is obtained by multiplying its base and height, find an expression that represents the length of the base.

3. A rectangle has an area of 3x2 + 5x – 12. What factors are the length and width of the rectangle?