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Unit 6 Study Guide Simplify. 7 5 8 1. (-3j k )(-8jk ) 3 5 3. 6 2 2 3 2. (10s t)(-2s t ) 2 2a 3 b 2 4. 1 5 3 2 a b 1 State if the expression is a polynomial. If yes, determine its degree. 5. 5x2y + 3xy – 7 7. 6gh2 – 4g3h + g 6. -8 8. 2a b3 Arrange the polynomial so that the powers of x are in descending order. 9. 4x3y + 3xy4 – x2y3 + y4 Arrange the polynomial so that the powers of x are in ascending order. 10. 10x3y2 – 3x9y + 5y4 + 2x2 11. 1000 + a + 9c3x + 2n18 Find each sum or difference. 12. (z2 + 6z – 8) – (4z2 – 7z – 5) 13. (3 + a2 + 2a) + (a2 – 8a + 5) 14. (5x3 – 3) + (x2 – x + 11) – (2x2 – 5x + 7) Solve each equation. 15. 3g(g – 4) – 2g(g – 7) = g(g + 6) – 28 16. 2(4x – 7) = 5(-2x – 9) – 5 17. x(x – 3) + 4x – 3 = 8x + x(3 + x) 18. q(2q + 3) + 20 = 2q(q – 3) Find each product. 19. (7a – 4)(2a – 5) 20. (4p – 3)(3p2 – p + 2) 21. 4p2q2(2p2 – q2 + 9p3 + 3q) 22. (n – 12)2 23. (x2 + 2x + 5)(x2 – 3x – 7) 24. (11a – 6b)(2a + 3b) 25. The measures of 2 sides of a triangle are given. If P is the perimeter, find the measure of the third side. P = 10x2 – 5x + 16 4x2 - 3 10x + 7