bâÜ _twç Éy VtÜÅxÄ Educational Center, Inc. 81 R. Tirona St., BF Homes, Paranaque
MATHEMATICS 8 First Quarter Examination NAME:______________________________ ___
DATE:___________________
SCORE:_____________
Direction: Write the letter of the correct answer. Use CAPITAL LETTERS o ly.
A.
Matching Type: Match the expressions to the method used to factor it. _____ _____ 1) 1) 8m – 5m – 3
A. Factoring by Grouping
2
B. Common Terms (GCF)
2
C. Difference of Squares
_____ 2) x + 7x + 10 _____ 3) x + 3x + 2xy + 6 y 2
_____ 4) 3x + 6x 2
D. Quadratic, a = 1 2
_____5) 25x - 100y B.
E. Quadratic, a ≠ 1
Multiple Choice.
_______1. Write an algebraic e xpression for the sum of a number and 8 . A. 8 x
. x
C. x
-8
+
8
D x
÷
8
_______2. Write an algebraic e xpression for 27 decreased decreased by by a number . A.
27 + m
_______3. Evaluate 6(8 A.
.
27
.
30
-m
C.
m
C.
C.
D.
27
11
.
66
27
.
18
- 27
- 3).
45
5. _______4. Evaluate 2k + m if k = 11 and m = 5. A.
32
_______5. Find the solution of A.
1
.
216
+
.
4
7 if the replacement set is {1, 2, 3, 4, 5}. C.
3
_______6. Find the solution set for x A. {1, 2, 3, 4, 5, 6}
=
÷
2
<
+
.
2
3 if the replacement set is {1, 2, 3, 4, 5, 6, 7}.
B. {1, 2, 3, 4, 5}
_______7. Name the property sed in n
4
C. {6, 7}
. {7}
7. 0 = 7.
A. Multiplicative Inverse Property B. Additive Identity Property
C. Substitution Prop rty D. Multiplicative Ide tity Property
_______8. Evaluate 13 A.
+
6
C.
20
D.
30
30
C.
29
D.
28
B.
9b + 3c
C.
7b + 5c
D.
5b + 3c
B.
7g + 3
C.
10g + 15
D.
7g + 8
C.
6 x + 3 y
D.
5 x + 11 y
D.
56
D.
4r 2
D.
6a + 7b
29
B. +
2(20
0
÷
B.
_______10. Simplify 7b A.
7 + 4.
2184
_______9. Evaluate 29 · 1 A.
+
+
2b
+
12bc
4
- 5).
3c.
_______11. Simplify 5(2g + 3). A.
10g + 3
_______12. Simplify 3(2 x A.
+
4 y
5 x + 6 y
- y). B.
6 x + 9 y
_______13. Use the Distributive Property to find 6(14 + 7). A.
91
B.
_______14. Simplify r 2 A.
4r 2
- 2r 3
- 2r 3
_______15. Simplify 2(a A.
+
6a + 6b
3b )
+
C.
42
C.
3r 2
C.
14a + 4b
3r 2.
B. +
126
2r
3(4a
B.
+
- 2r 3
b).
14a + 9b
________16. Which of the following is TRUE about the polynomial 10 x 4 − 3 w 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 4 3 2 A. 4 x + 8 x + 12 x + 9 4 3 2 B. 14 x + 8 x + 12 x + 9
+
9 x 4
+
4 + 6 x 3 ) − (5 + 2 x 3 +5 x 4 +3 x 2 )
4 3 2 C. 4 x + 4 x + 6 x − 1 4 3 2 D. 14 x + 8 x + 12 x − 1
For nos. 18 – 23 , use the rules on exponents to simplify each expression. 2
________ 18. (-6 x)(-3 x ) 3
3
A. 18 x
B. -18 x 2
2
D. -18 x
2 5
D. 5 x y
C. 18 x
2
2 3
________19. (2 xy )(3 x y ) 2 5
A. 6 x y
3 5
B. 6 x y
C. 5 x y
3 5
3 2 5
________20.
( x y )
15 10
8 7
A. x y
-2 -3
B. x y
C. x y
D. 15 x10 y
2
6 x 3 y 2 2 y ________21. 3
6 2
A. 3x y
6 2
B. 6x y
5 3
C. 9x y
D. 6x y
4 x11 y 12 z 7
−
2 x 3 y 9 z10
________22. x 8 y 3
A.
B.
2 z 3
2 x 8 y 3
8 3 3 C. x y z
−
2 x 8 y 3
−
D.
( x ) ( x ) 7
−
x
5
−
_________23. A. x
2
z 3
4
−
−
8
4
B.
1 x
C.
11
1
D.
x 43
x 43
For nos. 24 – 29, find each product.
________24. 5(t + 3) 5
A. t + 15
A. x
2
B. x
2
D. 5t + 15
+
−
−
−
4 3
x−
4 9
C.
4 9
x 2
+
x 2
+
D.
4 3
x−
4 9
4 9
(4 x − 3 y ) 2
________26.
B. 4 x 2
C. t - 15
4 4 x + x − 6 6
________25.
A. 16 x 2
5
B. 5t - 15
9 y2
C. 16 x 2 − 24 xy + 9 y 2
24 xy + 9 y 2
2 D. 4 x
________27. ( x
+
3)( x + 5)
A . x2
+
8 x
B. x2
+
15
________ 28. (2n
+
15
+
C. D.
2 x + 8 2 x + 15
C. D.
2n2 2n2
9 y2
- 3)(n + 4)
A. 3n + 1 B. 2n2 12
-
5n 12 + 11n + 1 +
-
________29. ( x
+
A. 2 x3 B. 4 x2
3)(2 x2 +
-
- 4 x
+
10 x2 + 20 x 4 x + 24
8). +
24
________ 30. What is
divided by
C. D.
12 x2 + 20 x + 24 2 x3 + 2 x2 4 x + 24
-
?
A. B.
C. D.
________ 31. A polynomial that CANNOT be factored is called A. prime B. composite
C. odd D. even 2
________ 32. Which of the following is a factor of 2x + 15x + 18 ? A. x + 3 B. x + 6
C. 2x + 6 D. 2x + 9 2
________ 33. The value of c that makes the trinomial x - 8 x + 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
D. (3x
For nos. 34 – 40, factor each polynomial completely. ________ 34. s2 + 7s + 1 A. (s + 5)(s + 2) ________35.
u2
A. (u + 4)(u
B . (s + 10)(s + 7)
C. (s + 10)(s - 1) D. (s - 5)(s - 2)
- 11u + 28
- 7)
B. (u + 4)(u + 7)
________36. 18x 2 + 15x + 12x + 10
A. (18x + 2)(x + 5)
B . (3x + 2)(6x + 5)
- 2)(x - 5)
________37. x4 – 16
A. (x + 2)2(x - 2)2 B. (x2 - 4)(x + 2)(x ________38. 343y3
A. B. C. D.
- 2)
– 1000
(7y + 10)(49y2 - 70y + 100) (7y - 10)(49y2 + 100) (7y - 10)(49y2 + 70y + 100) (343y - 10)(y2 + 70y + 100)
C. (x2 + 4)(x + 2)(x D. Prime
- 2)
- 2)(6x - 5)
________39. 121r 2
2
- 64t (11r 8t )(11r - 8t ) (11r - 8t )(11r - 8t )
+ A. B. C. (11r + 8t )(11r + 8 t ) D. prime
________40. 24 x2 y
A. B. C. D.
2
2 2
- 66 xy + 54 x y
2 xy(12 x 33 y + 27 xy) 6 x2 y2(4 y 11 x + 9) (4 x2 + 6 y)(6 x 9 y2) 6 xy(4 x 11 y + 9 xy)
-
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 x 2 + 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 3x 2 + 5x – 12. What factors are the length and width of the rectangle?
