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Algebra: Simplifying, Factoring, and Expanding Expressions

An algebra assignment involving simplifying, factoring, and expanding algebraic expressions.

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    Algebra: Simplifying, Factoring, and Expanding Expressions Class: Algebra 1 Part 2 – U3 Mid Report Date: 02/26/2013 Print Test Questions 1. Find the degree of the monomial. 6 x 8 y 5 A. 5 B. 6 C. 13 D. 8 Points Possible:0.50 2. Simplify the sum. (4 u 3 + 4 u 2 + 2) + (6 u 3 – 2 u + 8) A. 10 – 2 u + 4 u 2 + 10 u 3 B. – 2 u 3 – 2 u 2 + 4 u – 10 C. – 2 u 3 + 4 u 2 – 2 u + 10 D. 10 u 3 + 4 u 2 – 2 u + 10 Points Possible:0.50 3. Simplify the sum. (6 u 3 + 5 u 2 + 8) + (3 u 3 – 7 u + 7) A. 3 u 3 – 7 u 2 + 5 u – 15 B. 9 u 3 + 5 u 2 – 7 u + 15 C. 15 – 7 u + 5 u 2 + 9 u 3 D. 3 u 3 + 5 u 2 – 7 u + 15 Points Possible:0.50 4. Simplify the product. 4 x 6 (7 x 5 + 4 y 2 ) A. 11 x 30 + 8 x 6 y 2 B. 28 x 11 + 16 x 6 y 2 C. 11 x 11 + 8 x 6 y 2

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    D. 28 x 11 + 16 xy 8 Points Possible:0.50 5. Find the GCF of the terms of the polynomial. 26 x 2 + 14 x 3 A. 14 x B. 2 x 2 C. x 2 D. 2 x 3 Points Possible:0.50 6. Both figures are squares. Find the area of the UNSHADED region. Write your answer in standard form. A. – 2 x 2 + 10 x + 25 B. x 2 + 8 x + 25 C. 10 x + 25 D. x 2 + 10 x + 25 Points Possible:0.50 7. Find 33 2 using mental math. A. 1,089 B. 900 C. 999 D. 729 Points Possible:0.50 8. Find the product.

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    (6 p – 2)(6 p + 2) A. 36 p 2 + 24 p + 4 B. 36 p 2 – 24 p – 4 C. 36 p 2 + 4 D. 36 p 2 – 4 Points Possible:0.50 9. Simplify the difference. (7 w 2 – 7 w – 7) – (3 w 2 + 6 w – 3) A. 10 w 2 – 1 w – 10 B. 4 w 2 – 13 w – 4 C. 4 w 2 – 1 w – 10 D. 10 w 2 + 13 w + 4 Points Possible:0.50 10. Find the GCF of the terms of the polynomial. 39 x 3 + 26 x 4 A. 13 x 4 B. 13 x 3 C. 26 x D. x 3 Points Possible:0.50 11. Find the GCF of the terms of the polynomial. 46 x 2 + 32 x 6 A. x 2 B. 2 x 2 C. 2 x 6 D. 32 x 2 Points Possible:0.50 12. Simplify using the horizontal method. (2 n 2 + 4 n + 5)(3 n – 5) A. 6 n 3 + 5 n 2 – 2 n – 25 B. 6 n 3 – 2 n 2 + 35 n – 25 C. 6 n 3 + 2 n 2 – 5 n – 25 D. 6 n 3 + 22 n 2 – 35 n – 25

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    Points Possible:0.50 13. Simplify using the horizontal method. (3 n 2 + 5 n + 4)(2 n – 3) A. 6 n 3 + n 2 – 7 n – 12 B. 6 n 3 – n 2 + 23 n – 12 C. 6 n 3 + 7 n 2 – n – 12 D. 6 n 3 + 19 n 2 – 23 n – 12 Points Possible:0.50 14. Find the degree of the monomial. 5 x 8 y 4 A. 4 B. 8 C. 12 D. 5 Points Possible:0.50 15. Find the degree of the monomial. 3 x 7 y 6 A. 3 B. 13 C. 6 D. 7 Points Possible:0.50 16. Simplify the product. 8 p ( – 3 p 2 + 6 p – 2) A. – 5 p 3 + 14 p 2 – 6 p B. 48 p 2 – 16 p – 24 p 3 C. 14 p 2 – 6 p – 5 p 3 D. – 24 p 3 + 48 p 2 – 16 p Points Possible:0.50 17. Factor the polynomial. 49 w 8 + 56 w 6

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    A. w 6 (49 w 2 + 56) B. 7(7 w 8 + 8 w 6 ) C. 7 w 6 (7 w 2 + 8) D. 7 w 5 (7 w 3 + 8 w ) Points Possible:0.50 18. Find the missing coefficient. A. – 3 B. – 33 C. 33 D. 3 Points Possible:0.50 19. Find the square. A. B. C. D. Points Possible:0.50 20. Find the product. (7 p – 6)(7 p + 6) A. 49 p 2 – 84 p – 36 B. 49 p 2 + 36 C. 49 p 2 + 84 p + 36 D. 49 p 2 – 36 Points Possible:0.50 21. Factor the expression. d 2 + 10 d + 9 A. ( d + 9)( d – 1) B. ( d – 9)( d + 1)

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    C. ( d – 9)( d – 1) D. ( d + 9)( d + 1) Points Possible:0.50 22. Factor the expression. k 2 + 7 kf – 8 f 2 A. ( k – 8 f )( k – f ) B. ( k + 8 f )( k – f ) C. ( k – 8 f )( k + f ) D. ( k + 8 f )( k + f ) Points Possible:0.50 23. Simplify the difference. ( – 7 x – 5 x 4 + 5) – ( – 7 x 4 – 5 – 9 x ) A. 2 x 4 + 2 x + 8 B. – 14 x 4 + 10 x + 10 C. – 14 x 4 – 10 x + 10 D. 2 x 4 + 2 x + 10 Points Possible:0.50 24. Simplify the difference. (7 w 2 – 7 w – 7) – (4 w 2 + 5 w – 6) A. 11 w 2 + 12 w + 1 B. 11 w 2 – 2 w – 13 C. 3 w 2 – 2 w – 13 D. 3 w 2 – 12 w – 1 Points Possible:0.50 25. Simplify the product. 3 x 4 (8 x 6 + 5 y 7 ) A. 24 x 10 + 15 x 4 y 7 B. 11 x 10 + 8 x 4 y 7 C. 11 x 24 + 8 x 4 y 7 D. 24 x 10 + 15 xy 11 Points Possible:0.50 26.

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    Simplify the product using FOIL. A. B. C. D. Points Possible:0.50 27. Simplify the product using the distributive property. A. B. C. D. Points Possible:0.50 28. Find 82 2 using mental math. A. 6,564 B. 6,084 C. 6,400 D. 6,724 Points Possible:0.50 29. Factor the expression. d 2 + 19 d + 90 A. ( d + 10)( d + 9) B. ( d – 10)( d – 9) C. ( d – 10)( d + 9) D. ( d + 10)( d – 9) Points Possible:0.50 30. Factor the expression. k 2 + kf – 2 f 2 A. ( k – 2 f )( k + f ) B. ( k + 2 f )( k – f )

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