MATHEMATICS 8 – Quarter 1 QUIZ 1 Directions: Read each questions carefully. Write your answers in separate sheet of paper. I. Multiple Choice. Write the LETTER of the correct answer. 1. What is the Greatest Common Factor of 24 and 40? A. 4 B. 6 C. 8 D. 10 4 2. What is the GCF of the expression 4x + 6x? A. 2 B. x C. 2x D. 2x4 3. All of the following are perfect square trinomials, except one. Which is it? A. 𝑥2 − 4𝑥𝑦 + 4y2 B. 4x2 − 12xy + 9y2 C. 9a2 + 24a − 16 D. x2y2 − 6x3y2 + 9x4y2 4. Which of the following pair of numbers has a GCF of 6? A. 2 and 3 B. 8 and 12 C. 6 and 10 5. All of the following are factors of 10x2 Except one. What is it? A. 5 B. 10x C. x 6. Which of the following expressions has factors (2x - y) and (2x + y)? A. 2x2 + y2 B. 2x2 – y2 C. 4x2 + y2 6 3 7. What is the GCF of 2x and x ? A. x3 B. 2x3 C. 2x6 2 8. If one factor of 4x + 8x is 4x, what is the other factor? A. 2x + 2 B. 4x + 2 C. x + 2 9. Which of the following is equal to x2 − 6xy + 9y2? A. (x − 3y)2 B. (x + 3y)2 C. (2x − 3y)2 D. 12 and 18 D. x3 D. 4x2 – y2 D. x D. 2x2 + 2 D. ( 2x + 3y)2 10. All of the following expressions are perfect squares, EXCEPT one. What is it? A. 27x2y2 B. x2y6 C. 16x2y2 D. 25𝑥6𝑦8 II. Problem Solving. (Copy and answer each item, no need to copy the instructions) Write the factors of following polynomials by finding its GCF: 11. 4x2 + 6x 12. 3x3 + 12 13. 5y3 + 10y2 Factor the following difference of two squares: 14. x2 – 16 15. 4x2 – 25 16. 25y2 – 91 Factor the following perfect square trinomials: 17. x2 +8x + 16 18. 16x2 + 72x + 81 19. 25x2 + 20xy + 4y2 Factor the following sum of two cubes 20. x3 + 216 21. 8x6 + 64 22. 8x3 + 125y3 Factor each completely. If the polynomial is not factorable, write prime. 23. x2 + 11x + 28 24. x2 + 12x + 35 25. 2x2 -13x + 15 1 MATHEMATICS 8 – Quarter 1 QUIZ 1 Directions: Read each questions carefully. Write your answers in separate sheet of paper. I. Multiple Choice. Write the LETTER of the correct answer. 1. Which of the following is a perfect square? A. 15x4 B. 16x2y2 C. 25x5y6 D. 36x6y7 2. Which of the following is equal to (2𝑥−1)2? A. 4x2 + 4x + 1 B. 4x2 − 4x + 1 C. 2x2 + 2x +1 D. 4x2−4x−1 3. What is the complete factored form of 4x2 − 8x + 4? A. (2x + 2)2 B. (2x − 2)2 C. (4x − 2)2 D. (4x + 2)2 4. Which of the following trinomials is factorable? A. x2 − 6x + 7 B. x2 + 3x + 2 C. 2x2 + 5x + 10 D. 3x2 − 6x + 12 5. If one factor of a perfect square trinomial is 2xy − 3x, what is the other factor? 𝐴.2y−3x B. 2y+3x C. 2xy−3x D. 2xy+3x 6. What is the complete factored form of 2x2 − 6x − 8? A. (𝑥+4)(2𝑥−2) B. (4𝑥+2)(𝑥−2) C. (x-4)(2x+2) D. (4𝑥−2)(𝑥+2) 7. Which of the following is a perfect square number? A. 8 B. 27 C. 64 D. 125 8. Using the pattern for factoring the sum of cubes, we know that factoring 8 + b3 gives A. (2−𝑏)(4−2𝑏+ 𝑏2) B. (2−𝑏)(4+2𝑏+ 𝑏2) C. (2+𝑏)(4−2𝑏+ 𝑏2) D. (2+𝑏)(4+2𝑏+ 𝑏2) 9. If one factor of 4x2 + 8x is 4x, what is the other factor? A. 2x + 2 B. 4x + 2 C. x + 2 10. Which of the following is equal to x2 − 6xy + 9y2? A. (x − 3y)2 B. (x + 3y)2 C. (2x − 3y)2 D. 2x2 + 2 D. ( 2x + 3y)2 II. Problem Solving. (Copy and answer each item, no need to copy the instructions) Write the factors of following polynomials by finding its GCF: 11. x2 + 6x 12. 3x3 + 12 13. 5y3 + 15y2 Factor the following difference of two squares: 14. x2 – 49 15. 4x2 – 81 16. 16y2 – 64 Factor the following perfect square trinomials: 17. x2 + 10x + 25 18. 16x2 + 72x + 81 19. 4x2 + 16xy + 16y2 Factor the following sum of two cubes 20. x3 + 64 21. x6 + 27 22. 8x3 + 27y3 Factor each completely. If the polynomial is not factorable, write prime. 23. x2 + 11x + 28 24. x2 + 12x + 35 25. 2x2 -13x + 15 2 MATHEMATICS 8 – Quarter 1 QUIZ 1 Directions: Read each questions carefully. Write your answers in separate sheet of paper. I. Multiple Choice. Write the LETTER of the correct answer. 1. What is the GCF of 2x6 and x3? A. x3 B. 2x3 C. 2x6 D. x 2 2. If one factor of 4x + 8x is 4x, what is the other factor? A. 2x + 2 B. 4x + 2 C. x + 2 D. 2x2 + 2 3. Which of the following is equal to x2 − 6xy + 9y2? A. (x − 3y)2 B. (x + 3y)2 C. (2x − 3y)2 D. ( 2x + 3y)2 4. Which of the following is a perfect square? A. 15x4 B. 16x2y2 C. 25x5y6 D. 36x6y7 2 5. Which of the following is equal to (2𝑥−1) ? A. 4x2 + 4x + 1 B. 4x2 − 4x + 1 C. 2x2 + 2x +1 D. 4x2−4x−1 2 6. What is the complete factored form of 4x − 8x + 4? A. (2x + 2)2 B. (2x − 2)2 C. (4x − 2)2 D. (4x + 2)2 7. Which of the following trinomials is factorable? A. x2 − 6x + 7 B. x2 + 3x + 2 C. 2x2 + 5x + 10 D. 3x2 − 6x + 12 8. All of the following expressions are perfect squares, EXCEPT one. What is it? A. 27x2y2 B. x2y6 C. 16x2y2 D. 25𝑥6𝑦8 9. Which of the following is a perfect square trinomial? A. x2 + 6x + 9 B. 4x2 + 20xy + 9y2 C. 4x2 − 20x − 25 D. 5x2 + 6x + 9 3 10. What is the complete factored form of 9𝑥 – 64? A. (3x – 4)(9x2 + 12x + 16) B. (3x + 4)(9x2 + 12x + 16) C. (3x – 4)(9x2 - 12x + 16) D. (3x + 4)(9x2 - 12x + 16) II. Problem Solving. (Copy and answer each item, no need to copy the instructions) Write the factors of following polynomials by finding its GCF: 11. 4x2 + 6x 12. 3x3 + 15 13. 5y3 + 20y2 Factor the following difference of two squares: 14. x2 – 9 15. 4x2 – 81 16. 25y2 – 64 Factor the following perfect square trinomials: 17. x2 +10x + 25 18. 16x2 + 72x + 81 19. 25x2 + 20xy + 4y2 Factor the following sum of two cubes 20. x3 + 64 21. x6 + 125 22. 8x3 + 27y3 Factor each completely. If the polynomial is not factorable, write prime. 23. x2 + 11x + 28 24. x2 + 12x + 35 25. 2x2 -13x + 15 3 MATHEMATICS 8 – Quarter 1 QUIZ 1 Directions: Read each questions carefully. Write your answers in separate sheet of paper. I. Multiple Choice. Write the LETTER of the correct answer. 1. Which of the following expressions has factors (2x - y) and (2x + y)? A. 2x2 + y2 B. 2x2 – y2 C. 4x2 + y2 D. 4x2 – y2 2. Which of the following pair of numbers has a GCF of 6? A. 2 and 3 B. 8 and 12 C. 6 and 10 D. 12 and 18 3. All of the following are factors of 10x2 Except one. What is it? A. 5 B. 10x C. x D. x3 4. What is the GCF of the expression 4x4 + 6x? A. 2 B. x C. 2x D. 2x4 5. If one factor of a perfect square trinomial is 2xy − 3x, what is the other factor? 𝐴.2y−3x B. 2y+3x C. 2xy−3x D. 2xy+3x 2 6. What is the complete factored form of 2x − 6x − 8? A. (𝑥+4)(2𝑥−2) B. (4𝑥+2)(𝑥−2) C. (x-4)(2x+2) D. (4𝑥−2)(𝑥+2) 7. Using the pattern for factoring the sum of cubes, we know that factoring 8 + b3 gives A. (2−𝑏)(4−2𝑏+ 𝑏2) B. (2−𝑏)(4+2𝑏+ 𝑏2) C. (2+𝑏)(4−2𝑏+ 𝑏2) D. (2+𝑏)(4+2𝑏+ 𝑏2) 8. Which of the following is a perfect square trinomial? A. x2 + 6x + 9 B. 4x2 + 20xy + 9y2 C. 4x2 − 20x − 25 D. 5x2 + 6x + 9 9. Which of the following trinomials has factors (3a−2) and (2a−2)? A. 6a2 − 10a + 4 B. 6a2 − 2a − 4 C. 6a2 + 10a − 4 D. 6a2 + 2a + 4 10. What is the complete factored form of 9𝑥3 – 64? A. (3x – 4)(9x2 + 12x + 16) B. (3x + 4)(9x2 + 12x + 16) C. (3x – 4)(9x2 - 12x + 16) D. (3x + 4)(9x2 - 12x + 16) II. Problem Solving. (Copy and answer each item, no need to copy the instructions) Write the factors of following polynomials by finding its GCF: 11. 4x2 + 6x 12. 3x3 + 12 13. 5y3 + 10y2 Factor the following difference of two squares: 14. x2 – 9 15. 4x2 – 81 16. 25y2 – 64 Factor the following perfect square trinomials: 17. x2 +10x + 25 18. 16x2 + 72x + 81 19. 25x2 + 20xy + 4y2 Factor the following sum of two cubes 20. x3 + 64 21. x6 + 125 22. 8x3 + 27y3 Factor each completely. If the polynomial is not factorable, write prime. 23. x2 + 11x + 28 24. x2 + 12x + 35 25. 2x2 -13x + 15 4 MATHEMATICS 8 – Quarter 1 QUIZ 1 Directions: Read each questions carefully. Write your answers in separate sheet of paper. I. Multiple Choice. Write the LETTER of the correct answer. 1. All of the following are perfect square trinomials, except one. Which is it? A. 𝑥2 − 4𝑥𝑦 + 4y2 B. 4x2 − 12xy + 9y2 C. 9a2 + 24a − 16 D. x2y2 − 6x3y2 + 9x4y2 2. If one factor of a perfect square trinomial is 2xy − 3x, what is the other factor? 𝐴.2y−3x B. 2y+3x C. 2xy−3x D. 2xy+3x 2 3. What is the complete factored form of 2x − 6x − 8? A. (𝑥+4)(2𝑥−2) B. (4𝑥+2)(𝑥−2) C. (x-4)(2x+2) D. (4𝑥−2)(𝑥+2) 2 4. All of the following are factors of 10x Except one. What is it? A. 5 B. 10x C. x D. x3 5. Which of the following expre ssions has factors (2x - y) and (2x + y)? A. 2x2 + y2 B. 2x2 – y2 C. 4x2 + y2 D. 4x2 – y2 6. Which of the following pair of numbers has a GCF of 6? A. 2 and 3 B. 8 and 12 C. 6 and 10 D. 12 and 18 7. Which of the following is equal to x2 − 6xy + 9y2? A. (x − 3y)2 B. (x + 3y)2 C. (2x − 3y)2 D. ( 2x + 3y)2 8. All of the following expressions are perfect squares, EXCEPT one. What is it? A. 27x2y2 B. x2y6 C. 16x2y2 D. 25𝑥6𝑦8 9. Which of the following is a perfect square trinomial? A. x2 + 6x + 9 B. 4x2 + 20xy + 9y2 C. 4x2 − 20x − 25 D. 5x2 + 6x + 9 10. Which of the following trinomials has factors (3a−2) and (2a−2)? A. 6a2 − 10a + 4 B. 6a2 − 2a − 4 C. 6a2 + 10a − 4 D. 6a2 + 2a + 4 II. Problem Solving. (Copy and answer each item, no need to copy the instructions) Write the factors of following polynomials by finding its GCF: 11. 4x2 + 6x 12. 3x3 + 12 13. 5y3 + 10y2 Factor the following difference of two squares: 14. x2 – 9 15. 4x2 – 81 16. 25y2 – 64 Factor the following perfect square trinomials: 17. x2 +10x + 25 18. 16x2 + 72x + 81 19. 25x2 + 20xy + 4y2 Factor the following sum of two cubes 20. x3 + 64 21. x6 + 125 22. 8x3 + 27y3 Factor each completely. If the polynomial is not factorable, write prime. 23. x2 + 11x + 28 24. x2 + 12x + 35 25. 2x2 -13x + 15 5 MATHEMATICS 8 – Quarter 1 QUIZ 1 Directions: Read each questions carefully. Write your answers in separate sheet of paper. I. Multiple Choice. Write the LETTER of the correct answer. 1. Which of the following is equal to (2𝑥−1)2? A. 4x2 + 4x + 1 B. 4x2 − 4x + 1 C. 2x2 + 2x +1 D. 4x2−4x−1 2. What is the complete factored form of 4x2 − 8x + 4? A. (2x + 2)2 B. (2x − 2)2 C. (4x − 2)2 D. (4x + 2)2 3. Which of the following is a perfect square? A. 15x4 B. 16x2y2 C. 25x5y6 D. 36x6y7 4. Which of the following trinomials is factorable? A. x2 − 6x + 7 B. x2 + 3x + 2 C. 2x2 + 5x + 10 D. 3x2 − 6x + 12 4 5. What is the GCF of the expression 4x + 6x? A. 2 B. x C. 2x D. 2x4 6. All of the following are perfect square trinomials, except one. Which is it? A. 𝑥2 − 4𝑥𝑦 + 4y2 B. 4x2 − 12xy + 9y2 C. 9a2 + 24a − 16 D. x2y2 − 6x3y2 + 9x4y2 7. If one factor of a perfect square trinomial is 2xy − 3x, what is the other factor? 𝐴.2y−3x B. 2y+3x C. 2xy−3x D. 2xy+3x 8. What is the complete factored form of 2x2 − 6x − 8? A. (𝑥+4)(2𝑥−2) B. (4𝑥+2)(𝑥−2) C. (x-4)(2x+2) D. (4𝑥−2)(𝑥+2) 9. Which of the following is equal to x2 − 6xy + 9y2? A. (x − 3y)2 B. (x + 3y)2 C. (2x − 3y)2 D. ( 2x + 3y)2 10. All of the following expressions are perfect squares, EXCEPT one. What is it? A. 27x2y2 B. x2y6 C. 16x2y2 D. 25𝑥6𝑦8 II. Problem Solving. (Copy and answer each item, no need to copy the instructions) Write the factors of following polynomials by finding its GCF: 11. 4x2 + 6x 12. 3x3 + 12 13. 5y3 + 10y2 Factor the following difference of two squares: 14. x2 – 9 15. 4x2 – 81 16. 25y2 – 64 Factor the following perfect square trinomials: 17. x2 +10x + 25 18. 16x2 + 72x + 81 19. 25x2 + 20xy + 4y2 Factor the following sum of two cubes 20. x3 + 64 21. x6 + 125 22. 8x3 + 27y3 Factor each completely. If the polynomial is not factorable, write prime. 23. x2 + 11x + 28 24. x2 + 12x + 35 25. 2x2 -13x + 15 6 MATHEMATICS 8 – Quarter 1 QUIZ 1 Directions: Read each questions carefully. Write your answers in separate sheet of paper. I. Multiple Choice. Write the LETTER of the correct answer. 1. Which of the following is a perfect square trinomial? A. x2 + 6x + 9 B. 4x2 + 20xy + 9y2 C. 4x2 − 20x − 25 D. 5x2 + 6x + 9 2. Which of the following trinomials has factors (3a−2) and (2a−2)? A. 6a2 − 10a + 4 B. 6a2 − 2a − 4 C. 6a2 + 10a − 4 D. 6a2 + 2a + 4 3 3. What is the complete factored form of 9𝑥 – 64? A. (3x – 4)(9x2 + 12x + 16) B. (3x + 4)(9x2 + 12x + 16) C. (3x – 4)(9x2 - 12x + 16) D. (3x + 4)(9x2 - 12x + 16) 4. Which of the following is a perfect square? A. 15x4 B. 16x2y2 C. 25x5y6 D. 36x6y7 2 5. Which of the following is equal to (2𝑥−1) ? A. 4x2 + 4x + 1 B. 4x2 − 4x + 1 C. 2x2 + 2x +1 D. 4x2−4x−1 2 6. What is the complete factored form of 4x − 8x + 4? A. (2x + 2)2 B. (2x − 2)2 C. (4x − 2)2 D. (4x + 2)2 7. Which of the following trinomials is factorable? A. x2 − 6x + 7 B. x2 + 3x + 2 C. 2x2 + 5x + 10 D. 3x2 − 6x + 12 8. Which of the following is a perfect square trinomial? A. x2 + 6x + 9 B. 4x2 + 20xy + 9y2 C. 4x2 − 20x − 25 D. 5x2 + 6x + 9 9. Which of the following trinomials has factors (3a−2) and (2a−2)? A. 6a2 − 10a + 4 B. 6a2 − 2a − 4 C. 6a2 + 10a − 4 D. 6a2 + 2a + 4 10. What is the GCF of 2x6 and x3? A. x3 B. 2x3 C. 2x6 D. x II. Problem Solving. (Copy and answer each item, no need to copy the instructions) Write the factors of following polynomials by finding its GCF: 11. 4x2 + 6x 12. 3x3 + 12 13. 5y3 + 10y2 Factor the following difference of two squares: 14. x2 – 9 15. 4x2 – 81 16. 25y2 – 64 Factor the following perfect square trinomials: 17. x2 +10x + 25 18. 16x2 + 72x + 81 19. 25x2 + 20xy + 4y2 Factor the following sum of two cubes 20. x3 + 64 21. x6 + 125 22. 8x3 + 27y3 Factor each completely. If the polynomial is not factorable, write prime. 23. x2 + 11x + 28 24. x2 + 12x + 35 25. 2x2 -13x + 15 7 MATHEMATICS 8 – Quarter 1 QUIZ 1 Directions: Read each questions carefully. Write your answers in separate sheet of paper. I. Multiple Choice. Write the LETTER of the correct answer. 1. All of the following are factors of 10x2 Except one. What is it? A. 5 B. 10x C. x D. x3 2. Which of the following expressions has factors (2x - y) and (2x + y)? A. 2x2 + y2 B. 2x2 – y2 C. 4x2 + y2 D. 4x2 – y2 3. Which of the following pair of numbers has a GCF of 6? A. 2 and 3 B. 8 and 12 C. 6 and 10 D. 12 and 18 4. What is the Greatest Common Factor of 24 and 40? A. 4 B. 6 C. 8 D. 10 4 5. What is the GCF of the expression 4x + 6x? A. 2 B. x C. 2x D. 2x4 6. All of the following are perfect square trinomials, except one. Which is it? A. 𝑥2 − 4𝑥𝑦 + 4y2 B. 4x2 − 12xy + 9y2 C. 9a2 + 24a − 16 D. x2y2 − 6x3y2 + 9x4y2 7. If one factor of a perfect square trinomial is 2xy − 3x, what is the other factor? 𝐴.2y−3x B. 2y+3x C. 2xy−3x D. 2xy+3x 2 8. If one factor of 4x + 8x is 4x, what is the other factor? A. 2x + 2 B. 4x + 2 C. x + 2 D. 2x2 + 2 9. Which of the following is equal to x2 − 6xy + 9y2? A. (x − 3y)2 B. (x + 3y)2 C. (2x − 3y)2 D. ( 2x + 3y)2 10. All of the following expressions are perfect squares, EXCEPT one. What is it? A. 27x2y2 B. x2y6 C. 16x2y2 D. 25𝑥6𝑦8 II. Problem Solving. (Copy and answer each item, no need to copy the instructions) Write the factors of following polynomials by finding its GCF: 11. 4x2 + 6x 12. 3x3 + 15 13. 5y3 + 20y2 Factor the following difference of two squares: 14. x2 – 9 15. 4x2 – 81 16. 25y2 – 64 Factor the following perfect square trinomials: 17. x2 +10x + 25 18. 16x2 + 72x + 81 19. 25x2 + 20xy + 4y2 Factor the following sum of two cubes 20. x3 + 64 21. x6 + 125 22. 8x3 + 27y3 Factor each completely. If the polynomial is not factorable, write prime. 23. x2 + 11x + 28 24. x2 + 12x + 35 25. 2x2 -13x + 15 8 MATHEMATICS 8 – Quarter 1 QUIZ 1 Directions: Read each questions carefully. Write your answers in separate sheet of paper. I. TRUE OR FALSE. Write True if the statement is correct and False if it is incorrect. 1. (x + 5)2 = x2 + 10x + 25 2. The trinomial 9x2 + 15x + 25 is a perfect square trinomial 3. The GCF of the integers 12 and 24 is 6. 4. The GCF of the terms of the polynomial 8x5 + 2x3 – 4x is 2x 5. The terms of the binomial 3x – 18 have a common factor 6. A common monomial factor is a factor of every term of the polynomial 7. 33 = 9 8. 52 = 25 9. (x + 6)(x + 6) = (x + 6)2 10. (x + 7)(x - 7) = x2 + 14x - 49 II. Problem Solving. (Copy and answer each item, no need to copy the instructions) Write the factors of following polynomials by finding its GCF: 11. x2 + 6x 12. 3x3 + 12 13. 5y3 + 15y2 Factor the following difference of two squares: 14. x2 – 49 15. 4x2 – 81 16. 16y2 – 64 Factor the following perfect square trinomials: 17. x2 + 10x + 25 18. 16x2 + 72x + 81 19. 4x2 + 16xy + 16y2 Factor the following sum of two cubes 20. x3 + 64 21. x6 + 27 22. 8x3 + 27y3 Factor each completely. If the polynomial is not factorable, write prime. 23. x2 + 11x + 28 24. x2 + 12x + 35 25. 2x2 -13x + 15 9 MATHEMATICS 8 – Quarter 1 QUIZ 1 Directions: Read each questions carefully. Write your answers in separate sheet of paper. MATCHING TYPE Match the following polynomials in Column A to their corresponding factors in Column B 1. 4x5 - 8x2 + 12x A. (x + 4)(x2 – 4x + 16) 2. 𝑥2 – 16 B. (x + 6)(x + 6) 3. 27𝑥3 – 8 4. x3 + 64 5. x2 + 12x + 36 C. (x - 6)(x - 6) D. (x - 6)(x + 6) E. (x + 4)(x – 4) F. 4x (x4 - 2x + 12) G. (3x – 2)(9x2 + 6x + 4) I. TRUE OR FALSE. Write True if the statement is correct and False if it is incorrect. 1. (x + 6)(x + 6) = (x + 6)2 2. (x + 7)(x - 7) = x2 + 14x - 49 3. The GCF of the integers 12 and 24 is 6. 4. The GCF of the terms of the polynomial 8x5 + 2x3 – 4x is 2x 5. 33 = 9 II. Problem Solving. (Copy and answer each item, no need to copy the instructions) Write the factors of following polynomials by finding its GCF: 11. x2 + 6x 12. 3x3 + 12 13. 5y3 + 15y2 Factor the following difference of two squares: 14. x2 – 49 15. 4x2 – 81 16. 16y2 – 64 Factor the following perfect square trinomials: 17. x2 + 10x + 25 18. 16x2 + 72x + 81 19. 4x2 + 16xy + 16y2 Factor the following sum of two cubes 20. x3 + 64 21. x6 + 27 22. 8x3 + 27y3 Factor each completely. If the polynomial is not factorable, write prime. 23. x2 + 11x + 28 24. x2 + 12x + 35 25. 2x2 -13x + 15 10