# Algebra 1 mid-Chapter 8 review ```Algebra 1 Chapter 8 review
Simplify.
1. (x6)(x9) = _____________
Name: _______________________
3. (2x3)(x4) = ______________
4. (-5x6)(x7) = _______________
5. (-8x9)(x) = _____________
6. (-2x3)(x) = ______________
7. (4x6)(2x7) = _____________
8. (-8x4)(5x6) = ______________
9. (7x2y4)(-5xy) = __________
10. (6x4y)(-5xy2) = ____________
11. x5 = ________________
x8
12. x3 = _________________
x10
13. x11y = _____________
x4y6
14. xy12 = _____________
x4y11
15. 12x6y = _____________
10x3y5
16. 18x4y8 = ____________
14x3y5
17. x8 = ______________
x8
18. x4 = _________________
x4
19. (x2)3 = ___________
20. (x4)5 = _______________
21. (3x4y5z)3 = _____________
22. (7xy2z4)2 = _____________
23. (7xyz)0= _______________
24. (124xy)0 = _____________
25. (-2x3y4)3(2xy) = _______________
26. (4x6y7)2(2xy) = ____________
27. x7
y5
28. x2
y3
29.
3
= ________________
3x4y5z
7m7
2
= _______________
2. (x5)(x) = ________________
6
= _______________
30. 3x4y5z2
2c8
3
= ____________
31. x-5 = _________________
32. x-2 = _________________
33. x-4y-6 =_________________
x-3y-5
34. x-8y-8 = ________________
x-7y-4
Write an expression to represent the area of each figure.
35.
36.
37.
38.
Write the following in scientific notation.
39. 450,000,000,000 ______________
40. .000023 ______________
41. (4 x 104)(2 x 107) ______________
42. (15 x 108) _______________
(3 x 102)
Write the following in standard form.
43. 5.6 x 105 ____________
44. 2.1 x 10-7 _______________
45. (4a + 5b -2c) + (7a - 5b + 2c) ______________
46. (7x2 – x – 6) + (4x2 – 3x + 6) ________________
47. (5x + 5y – 2z) – (8x + 2y – 6z) _________________
48. (2x3 – 8x2 + 2x) – (9x3 – 2x2 – 4x) _________________
Multiply and simplify.
49. 7x(3x2 – 5x + 3) _________________________
50. 3xy(8x2y + 5xy2 + 4x – 7y) __________________
51. 5x2(8xy + 4x – 9y + 2x2y2) __________________
Find the degree of each polynomial.
52. 4x5y3z _____________
53. 2x8+ 3x4y3z – 4xyz ______________
Arrange the terms of the polynomial so that the powers of x are in descending order.
54. 4x – 2 + 6x2 _________________
55. 3x7y3 – 6x9y4 + 2x5y3 ___________
Multiply and Simplify. (FOIL)
56. (y + 2)(y – 5) ______________
57. (y – 4)(y + 1) _____________
58. (2x + 2)(x - 6) _____________
59. (7x – 3)(x + 4) _____________
60. (3x -1)(2x2 + 3x + 2) __________
61. (2x+ 3)(4x2 – 2x + 1) ________
62. (3x – 1)2 ________
63. (4x + 2)2 _________________
Graph the following system of equation. Be sure to label your solution.
64. y = -3/4x + 3
y = 2x – 8
Solve the following systems of equations. Be sure to find both x and y.
65. 5x – 3y = 6
x = 2y + 46
66. 3x – 4y = 1
12x - y = -11
Write and solve a system of equations.
67. The sum of two numbers is -3, and their difference is 11. Find the two numbers.
68. The sum of two numbers is -7, and their difference is -17. Find the two numbers.
```