Download Homework Key Simplifying, Transforming, Solving

Homework Key
Simplifying, Transforming, Solving
Name ________________
Class __________________
Directions: Find the degree of each polynomial
1.
2.
3.
4.
5.
6x4
4
-14
0
2 3 4
2x y c – 16x5y 9
7n3 – n2p2
4
8y
1
Simplify each polynomial:
6. (4x2 + 5x) + (-2x2 + x)
2x2 + 6x
7. (5ab2 + 3ab) – (2ab2 + 6 – 8ab)
3ab2 + 11ab – 6
8. 4(3m2 + 5m) – m(m2 – 7m + 12)
9. (11x – 6y)(2x + 3y)
-m3 + 19m2 + 8m
22x2 + 21xy – 18y2
10. 4m(5m2 + 2m – 7) – 3(2m2 – 6m – 9)
Solve each equation:
11. n(n + 3) – n(n – 4) = 9n – 16
12. x(x – 1) + 4x = x(x – 8)
0
13. 5x – 22 + 3x -2(x – 1)
6
14. 3(x – 3) – 6 = 9x – 15
8
0
15. (2x + 3)(8) – 4(x + 1) = 6 -7/6 or -1 1/6
20m3 + 2m2 – 10m + 27
Solve each problem:
16. A square has a side of 2m – 7 units. What is the area of the square in
terms of m?
A
B
C
D
4m2 – 28m + 49
4m2 -14m - 7
4m
4m2 + 28m - 49
answer A
17. Jermaine was trying to solve an equation. His work is shown below.
Fill in the missing step in his equation.
2 – (2x + 1) + 9x = 4
1 + 7x = 4
7x = 3
x = -3/7
A
B
C
D
2 x 2x + 1 + 9x = 4
4x + 2 + 9x = 4
2 – 2x – 1 + 9x = 4
x + 10x = 4
answer C
18. Simplify 6(4x – 2) + 2(3x2 – x) – 3x2
A
B
C
D
3x2 – 26x – 12
3x2 + 22x – 12
24x + 12
9x2 + 22x + 12
answer B
19. Simplify the algebraic expression
5(x-2) + 2(3x2 – 12x + 12)
A
B
C
D
-x + 10
-13x + 14
6x2 – 7x + 10
6x2 – 19x + 14
answer
D
20. Which expression best represents (3a2b3c)(-3ab)(-2a3bc3)?
A
B
C
D
18a6b5c4
-18a6b3c3
18a6b9c4
-8a6b5c4
answer A