The document appears to be a mathematics post-test for grade 8 students containing 25 multiple choice questions testing concepts related to factoring polynomials, operations with binomials and trinomials, difference of squares, sum and difference of cubes, and other algebra topics. The questions cover skills like finding greatest common factors, factoring expressions, identifying perfect squares/cubes, solving problems involving the sum and product of numbers, and determining factored forms of algebraic expressions.
The document appears to be a mathematics post-test for grade 8 students containing 25 multiple choice questions testing concepts related to factoring polynomials, operations with binomials and trinomials, difference of squares, sum and difference of cubes, and other algebra topics. The questions cover skills like finding greatest common factors, factoring expressions, identifying perfect squares/cubes, solving problems involving the sum and product of numbers, and determining factored forms of algebraic expressions.
The document appears to be a mathematics post-test for grade 8 students containing 25 multiple choice questions testing concepts related to factoring polynomials, operations with binomials and trinomials, difference of squares, sum and difference of cubes, and other algebra topics. The questions cover skills like finding greatest common factors, factoring expressions, identifying perfect squares/cubes, solving problems involving the sum and product of numbers, and determining factored forms of algebraic expressions.
The document appears to be a mathematics post-test for grade 8 students containing 25 multiple choice questions testing concepts related to factoring polynomials, operations with binomials and trinomials, difference of squares, sum and difference of cubes, and other algebra topics. The questions cover skills like finding greatest common factors, factoring expressions, identifying perfect squares/cubes, solving problems involving the sum and product of numbers, and determining factored forms of algebraic expressions.
Direction: Encircle the correct answer to the following questions. __ 1. What is the Greatest Common Factor of 24 and 45? A. 1 B. 2 C. 3 D. 6 ___ 2. What is the process of finding the factors of an expression which is the reverse process of multiplication? A. factoring B. rationalization C. special product D. continuous division ___ 3. What are the complete factors of the polynomial 7 x − 14? A. 7(x− 1) B. 7(1 − x) C. 7x– 1 D. 7(x− 2) ___ 4. Which of the following pair of numbers has a GCF of 8? A. 2 and 3 B. 8 and 12 C. 16 and 40 D. 12 and 18 ___ 5. All of the following are factors of 12x2 EXCEPT one. What is it? A. 6 B. 12 C. x3 D. 12x2 ___ 6. If one factor of 4x3 + 6x is 2x, what is the other factor? A. 2x + 3 B. 4x + 6 C. 2x + 6 D. 2x2 + 3 ___ 7. Which are the complete factors of 2x – 12x ? 8 6
A. 2x5(x2- 6) B. 2x5(x2 – 6x) C. 2x4(x2 − 6) D. x6 (2x2– 12x)
___ 8. Which of the following is a perfect square expression? A. 81x2 B. 64 C. 9x5 D. 16x7 ___ 9. Which of the following is NOT a difference of two squares? A. 9a2 – 81 B. c4 − 18 C. d4 – 25f2 D. 121e2 – 49 ___ 10. Which of the following expressions has factors of (4x - 5y) and (4x + 5y)? A. 16x2 - 25 y2 B. 16x2 + 25y2 C. 4x2 + 5y2 D. 4x2 – 5y2 ___ 11. Which of the following expressions is a perfect cube? A. 8 B. 27x6 C. 64x4 D. 125x5 ___ 12. Using the pattern for factoring the sum of cubes, we know that factoring a3 + b3 gives. A. (a − x) (a2 – 2x+ b2) B. (a +x) (a2 + 2x+ b2) C. (a− x)(a2 + 2x+b2 ) D. (a + x)(a2 - 2x+ b2) ___ 13. What is the complete factored form of 27x3 – 64y3? A. (3x – 4y) (9x2 - 12xy + 16y2) C. (3x – 4y) (9x2 + 12xy + 16y2) 2 2 B. (3x + 4y) (9x + 12xy + 16y ) D. (3x + 4y)(9x2 - 12xy + 16y2) ___ 14. What is the result when you square a binomial? A. binomial B. difference of two squares C. sum of two squares D. perfect square trinomial ___ 15. All of the following are perfect square trinomials EXCEPT one. Which is it? A. 4x2 + 12x + 9y2 B. x2 +4xy + 16y2 C. 9a2 − 36x+ 36 D. a2 – 4ab + 4b2 ___ 16. Which of the following is equal to 4x − 12xy + 9y ? 2 2
A. (x − 3y)2 B. (x + 3y)2 C. (2x − 3y)2 D. (2x + 3y)2
___ 17. What are the two numbers whose sum is -7 and whose product is 12? A. 3 and -4 B. -3 and 4 C. -3 and -4 D. 3 and 4 ___ 18. What are the two expressions whose sum is 3x and whose product is -10x2? A. 2x and 5x B. -2x and 5x C. 2x and -5x D. -2x and – 5x ___ 19. Find the missing term: (x + ___) (3x + ___) = 3x2 + 27x + 24 A. (8, 3) B. (3, 8) C. (4, 6) D. (6, 4) 2 ___ 20. Which of the following are the factors of x + 5x + 6? A. (x + 1) (x + 6) B. (x + 3) (x + 2) C. (x – 1) (x + 6) D. (x + 1) (x + 5) ___ 21. If one factor of 2x2 − 2x − 24 is x + 3, what is the other factor? A. x – 3 B. x + 8 C. x – 8 D. 2x – 8 ___ 22. What is the complete factored form of x2 + 9x - 10? A. (x + 2) (x + 5) B. (x + 1) (x + 10) C. (x − 2) (x + 5) D. (x − 1) (x + 10) 2 2 ___ 23. Anne squared 3x + 4y as 9x + 16y , which of the following statement is TRUE? A. The answer is correct because to square a binomial, distribute the exponent B. The answer is wrong because the product of squaring a binomial is a trinomial. C. The answer is correct because the product of squaring a binomial is another binomial D. The answer is wrong because to square a binomial is to multiply the expression by 2. ___ 24. What is the area of a square garden whose sides measure (5x + 2) meters? A. (25x2 + 20x + 4) meter squares C. (25x2 + 10x + 4) meter squares B. (25x – 20x + 4) meter squares 2 D. (25x2 – 10x + 4) meter squares 2 ___ 25. The area of a square is 9x + 12x+ 4 square units. Which expression represents the length of the side? A. (3x+ 2) units B. (4x+ 9) units C. (2x+ 3) units D. (4x+ 3) units
