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Algebra I Polynomials Practice Test Name______________________________________________Period_____Date____________ Vocabulary: Define each word and give an example. 1. Degree of a Polynomial 2. GCF Short Answer: 3. Show the sum and difference pattern for multiplying two binomials. 4. Describe how to determine if the polynomial ax bx c is factorable. 5. Simplify the expression: 6. Evaluate the expression. Write your final answer in scientific notation. 7. Write the equation of the line that passes through the points 2 Review: 2 12 3 72 2 4 10 3 10 Graph the line 5 x 10 2 y . Problems: **Be sure to show all work used to obtain your answer. Circle or box in the final answer.** 9. Classify the polynomials by their degree and number of terms. a. 1 4 x2 2 x4 219546843 b. 4x 5 Page 1 of 3 8 5, 2 and 1, 3 in standard form with integer coefficients. 8. 6 Algebra I Polynomials Practice Test 10. Find the sum or difference of the polynomials. b a. 2 3b 4b2 8b 5 b. 4 p 3 p 2 1 2 p p 2 11. Find the product. Write your answer in standard form. a. 6 x 3 x 2 3x 2 b. 2 x 3 3x 2 x 5 c. 5x 4 x 3x 2 2 d. 4 x e. 5 y 2 x 5 y 2 x f. 5 3x 2 12. Write an expression for the perimeter of a rectangle with a length of 13. Find the GCF of the terms: 2 x 1 x 4 2 3x 5 and a width of 2 x 1 . 35a 4b8 , 49a 2b5 , 14ab4 14. Factor the GCF in the polynomial. 4 x 8 x 2 x 5 3 2 15. Factor the trinomials. a. x 2 11x 30 219546843 b. 6 x 4 x 10 2 Page 2 of 3 Algebra I Polynomials Practice Test 16. Factor the polynomials. a. b. 16 x 24 x 9 169 9 y 2 2 17. Factor the expressions completely. a. 16 x 2 36 b. 9 18 x 9 x c. 30b4 58b3 24b2 d. 3x 15 x 6 x 30 3 2 2 Multiple Choice Section: Circle the best answer. 18. The function g x is the amount of money Shawn has in the bank at the beginning of the month. The function f x is the amount of money withdrawn from the account during the month. Which expression represents the amount of money left at the end of the month? f x x 2 3x 12 g x 6 x 2 2 x 20 A. 5 x 5 x 8 2 5x 2 x 8 2 C. 5 x x 8 2 D. 5 x 5 x 8 B. 19. Which expression below represents the product of 5x 6 and 2 x 5 ? A. 10 x 37 x 30 2 B. 10 x 13 x 30 2 C. 10 x 13 x 30 2 D. 10 x 37 x 30 2 20. Expand the expression: 2 x 7 2 4 x 2 49 2 B. 4 x 49 2 C. 4 x 28 x 49 2 D. 4 x 28 x 49 A. 219546843 Page 3 of 3