Download Unit 6 Study Guide

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