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Lapuyan National High School Lapuyan, Zamboanga del Sur GRADE VIII MATHEMATICS THIRD GRADING EXAMINATION NAME: _______________________________DATE:______________ SECTION:___________________
Score:________________
Test 1: Encircle the letter with the correct answer. Solve the following Fraction with the same denominator.
1. 2. 3. 4. 5. 6. 7. 8. 9.
24 8 2 4
4
20
−8 =
a. 16
3
1
−4 =
7
a. 4
4
11
− 11 =
18
7
9
6
− 12 = 12 − 10 = 10 4 5
2
5 6 8 2 4
4
a.
4
3
6
9
6
1
a. 8
10. 16 + 16 = 11. 17 + 17 = 12. 10 + 10 = 2
4
8
2
15. 16.
11
.
5 8 5
2
.
3
6
7
17. 5 . 9
2 10
8 6
18. 3 ÷ 4
8
a. 34 3
a. 20 a. 5
=
3
10
a. 16
6
13. 5 + 5 = 14. 5 .
5
a. 16
+4 =
14
16
10
+8 =
3
3
a. 20 a. 5
−5 =
7
11
a. 12
6
−5 =
12
11
a. 11
=
a.
10 8 22
a. 50 10
=
a.
=
a. 13
=
a. 18
8 13
36
b.
28 8 1
c.
20 8 5
b. 8
c. 4
b. 1
c. 11
11
b. 24 15
b. 20 2
b. 5 8
b. 5 2
b. 8 1
b. 4 4
b. 16 20
b. 34 15
b. 20 2
b. 5 16
b. 15 10
b. 110 b.
16 15 48
b. 35 54
b. 12
3
25
c. 12 3
c. 10 6
c. 10 16
c. 10 c.
10 8 5
c. 4 10
c. 32 8
c. 17 3
c. 10 6
c. 10 24
c. 10 13
c. 15 c.
24 10 40
c. 40 3
c. 10
6
d. 8 5
d. 8 3
d. 22 25
d. 24 15
d. 20 2
d. 10 8
d. 10 6
d. 8 5
d. 8 4
d. 32 20
d. 17 15
d. 10 2
d. 10 15
d. 16 9
d. 5 d.
15 16 42
d. 40 15
d. 20
4
2
19. 6 ÷ 4 14
3
20. 16 ÷ 4
8
=
a. 24
=
a. 64
2
b. 2
42
56
b. 48
16
c. 28
d. 12
c. 104
d. 20
17
𝑃
21. It is a ratio of two polynomials provided that the denominator is not equal to zero. In symbols: 𝑄,where P and Q are polynomials and Q ≠ 0. a. Polynomials
b. Non-polynomials
c. Rational Algebraic Expression
d. Ratio
Solve the following Rational Algebraic Expression with the same denominator. 𝑥2
22. 𝑥+5 + 𝑦2
23. 𝑦+3 −
7𝑥+10 𝑥+5 2𝑦+15 𝑦+3
=
a.
=
a.
𝑥 2 +7𝑥+10 𝑥+5 𝑦 2 −2𝑦+15 𝑦+3
b. x+2
c.
b. y+3
c.
𝑥+17 𝑥+5 𝑥+17 𝑥+3
d. x-2 d. y-5
For items no. 24, 25, 26, 27, 28, 29, and 30. In the space provided, write the letter from the box that shows the correct answer in the given expression below. Use the product of a power in the law of exponent, given the formula 𝑥 𝑎 . 𝑥 𝑏 = 𝑥 𝑎+𝑏 . 24. 𝑥 3 . 𝑥 4 =_____ 25. −𝑦 5 . 𝑦 5 =_____ a. −3𝑥 7 c. 2𝑥 10 e. −𝑦10 26. 𝑥 3 . 𝑦 8 =_____ 27. 3𝑎3 . 2𝑎5 =_____ b. 𝑥 7 d. 𝑥 3 𝑦 8 f. 6𝑎15 28. 20𝑏 4 . 3𝑏 6 =_____ 29. −2𝑥 8 . −𝑥 2 =_____ g. 60𝑏 24 30. −𝑥 2 . 3𝑥 5 =_____
For items no. 31, 32, 33, 34, 35, 36 and 37. In the space provided, write the letter from the box that shows the correct answer in the given expression below. Use the power of a power in the law of exponent, given (𝑥 𝑎 ) 𝑏 = 𝑥 𝑎𝑏 . 31. (𝑥 2 ) 3 = _____ 𝑎. 125 𝑥 3 𝑦 6 c. 4𝑏 8 e. 8𝑦 6 4 2 32. (2𝑏 ) = _____ 33. (−𝑦 2 ) 3 = _____ 𝑏. 𝑥 6 d. −𝑦 6 f. −27𝑥12 34. (2𝑦 2 ) 3 = _____ 35. (−3𝑥 4 ) 3 = _____ 36. (10𝑥 5 ) 2 = _____ g. 100𝑥 10 37. (5𝑥𝑦 2 ) 3 = _____
For items no. 38, 39 and 40. In the space provided, write the letter from the box that shows the correct answer in the given expression below. Use the quotient of a power in the law of exponent, given 38. 39. 40.
𝑥 10 = ____ 𝑥8 9 6𝑥 = ____ 3 𝑥8 20𝑦 16 = ____ 2𝑦 8
a.2x d. 2𝑥 2
𝑏. 𝑥 2
𝑥𝑎 𝑥𝑏
= 𝑥 𝑎−𝑏 .
c. 10𝑦 8 e. 𝑥 18
f. 18𝑦 24
Answer keys: 1. c 2.a 3. c 4. a 5. c 6. b 7. b 8. c 9. c 10. a
11. d 12. d 13. a 14. b 15. a 16. b 17. d 18. b 19. a 20. a
21. c 22. b 23. d 24. b 25. e 26. d 27. f 28. g 29. c 30. a
31. b 32. c 33. d 34. e 35. f 36. g 37. a 38. b 39. a 40. c
Score:________________
Test 1: Encircle the letter with the correct answer. Solve the following Fraction with the same denominator.
1. 2. 3. 4. 5. 6. 7. 8. 9.
24 8 2 4
4
20
−8 =
a. 16
3
1
−4 =
7
a. 4
4
11
− 11 =
18
7
9
6
− 12 = 12 − 10 = 10 4 5
2
5 6 8 2 4
4
a.
4
3
6
9
6
1
a. 8
10. 16 + 16 = 11. 17 + 17 = 12. 10 + 10 = 2
4
8
2
15. 16.
11
.
5 8 5
2
.
3
6
7
17. 5 . 9
2 10
8 6
18. 3 ÷ 4
8
a. 34 3
a. 20 a. 5
=
3
10
a. 16
6
13. 5 + 5 = 14. 5 .
5
a. 16
+4 =
14
16
10
+8 =
3
3
a. 20 a. 5
−5 =
7
11
a. 12
6
−5 =
12
11
a. 11
=
a.
10 8 22
a. 50 10
=
a.
=
a. 13
=
a. 18
8 13
36
b.
28 8 1
c.
20 8 5
b. 8
c. 4
b. 1
c. 11
11
b. 24 15
b. 20 2
b. 5 8
b. 5 2
b. 8 1
b. 4 4
b. 16 20
b. 34 15
b. 20 2
b. 5 16
b. 15 10
b. 110 b.
16 15 48
b. 35 54
b. 12
3
25
c. 12 3
c. 10 6
c. 10 16
c. 10 c.
10 8 5
c. 4 10
c. 32 8
c. 17 3
c. 10 6
c. 10 24
c. 10 13
c. 15 c.
24 10 40
c. 40 3
c. 10
6
d. 8 5
d. 8 3
d. 22 25
d. 24 15
d. 20 2
d. 10 8
d. 10 6
d. 8 5
d. 8 4
d. 32 20
d. 17 15
d. 10 2
d. 10 15
d. 16 9
d. 5 d.
15 16 42
d. 40 15
d. 20
4
2
19. 6 ÷ 4 14
3
20. 16 ÷ 4
8
=
a. 24
=
a. 64
2
b. 2
42
56
b. 48
16
c. 28
d. 12
c. 104
d. 20
17
𝑃
21. It is a ratio of two polynomials provided that the denominator is not equal to zero. In symbols: 𝑄,where P and Q are polynomials and Q ≠ 0. a. Polynomials
b. Non-polynomials
c. Rational Algebraic Expression
d. Ratio
Solve the following Rational Algebraic Expression with the same denominator. 𝑥2
22. 𝑥+5 + 𝑦2
23. 𝑦+3 −
7𝑥+10 𝑥+5 2𝑦+15 𝑦+3
=
a.
=
a.
𝑥 2 +7𝑥+10 𝑥+5 𝑦 2 −2𝑦+15 𝑦+3
b. x+2
c.
b. y+3
c.
𝑥+17 𝑥+5 𝑥+17 𝑥+3
d. x-2 d. y-5
For items no. 24, 25, 26, 27, 28, 29, and 30. In the space provided, write the letter from the box that shows the correct answer in the given expression below. Use the product of a power in the law of exponent, given the formula 𝑥 𝑎 . 𝑥 𝑏 = 𝑥 𝑎+𝑏 . 24. 𝑥 3 . 𝑥 4 =_____ 25. −𝑦 5 . 𝑦 5 =_____ a. −3𝑥 7 c. 2𝑥 10 e. −𝑦10 26. 𝑥 3 . 𝑦 8 =_____ 27. 3𝑎3 . 2𝑎5 =_____ b. 𝑥 7 d. 𝑥 3 𝑦 8 f. 6𝑎15 28. 20𝑏 4 . 3𝑏 6 =_____ 29. −2𝑥 8 . −𝑥 2 =_____ g. 60𝑏 24 30. −𝑥 2 . 3𝑥 5 =_____
For items no. 31, 32, 33, 34, 35, 36 and 37. In the space provided, write the letter from the box that shows the correct answer in the given expression below. Use the power of a power in the law of exponent, given (𝑥 𝑎 ) 𝑏 = 𝑥 𝑎𝑏 . 31. (𝑥 2 ) 3 = _____ 𝑎. 125 𝑥 3 𝑦 6 c. 4𝑏 8 e. 8𝑦 6 4 2 32. (2𝑏 ) = _____ 33. (−𝑦 2 ) 3 = _____ 𝑏. 𝑥 6 d. −𝑦 6 f. −27𝑥12 34. (2𝑦 2 ) 3 = _____ 35. (−3𝑥 4 ) 3 = _____ 36. (10𝑥 5 ) 2 = _____ g. 100𝑥 10 37. (5𝑥𝑦 2 ) 3 = _____
For items no. 38, 39 and 40. In the space provided, write the letter from the box that shows the correct answer in the given expression below. Use the quotient of a power in the law of exponent, given 38. 39. 40.
𝑥 10 = ____ 𝑥8 9 6𝑥 = ____ 3 𝑥8 20𝑦 16 = ____ 2𝑦 8
a.2x d. 2𝑥 2
𝑏. 𝑥 2
𝑥𝑎 𝑥𝑏
= 𝑥 𝑎−𝑏 .
c. 10𝑦 8 e. 𝑥 18
f. 18𝑦 24
Answer keys: 1. c 2.a 3. c 4. a 5. c 6. b 7. b 8. c 9. c 10. a
11. d 12. d 13. a 14. b 15. a 16. b 17. d 18. b 19. a 20. a
21. c 22. b 23. d 24. b 25. e 26. d 27. f 28. g 29. c 30. a
31. b 32. c 33. d 34. e 35. f 36. g 37. a 38. b 39. a 40. c
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