high school Algebra questions
Does anyone know the answers to the following questions? Any explanation about why those are the answers will be helpful too. Thanks.
1. 3*3*3*3 = 34
True False
2. 23 = 2 + 2 + 2
True False
3. 2x3 = (2x)3
True False
4. (-2)4 = 16
True False
5. 3x -2 is a binomial
True False
6. The numerical coefficient of the monomial -4x3 is 3
True False
7. 4x2y and 4xy2 are like terms
True False
8. The degree of the polynomial 3x4 + 4x3 - 3x4 + 5x + 1 is 3
True False
9. (2c)(3c) = 6c
True False
10. x3 + x3 = x6
True False
11. x3*x3 = x6
True False
12. x*x4 = x5
True False
13. (2x2)3 = 8x5
True False
14. 3(-2x2)3 = -24x6
True False
15. Xy2 = (xy)2
True False
16. (am)n = amn
True False
17. Am * bm = (ab)m
True False
Part 2
Multiple Choice: Simplify or evaluate the statements. (Each question is worth 1 point)
18. Write in exponential form: -3*x*x*x*x
3x4 4x-3
-3x4
19. Write in exponential form: (2y)(2y)(2y)
8y3 6y3
24y
20. Write in exponential form: (-2z)(-2z)(-2z)(-2z)
-16z4 16z4
-8z3
21. 3 + 24/8 - 5
2 0
-2
22. If x = -1 and y = 2, find the value of: 2x3y - (xy)2
-8 8
6
23. 3a - 4b + 4a + 3b
7a - b a + b
a - b
24. (5x + 3y) + (8x - 7y)
3x + 10y 13x - 4y
4x - 13y
25. (3a2 - 4b) - (5a2 - 3b)
8a2 - 7b -a2 + b
-2a2 - b
26. Solve: 5x - (2x - 3) = 21
x = 8 x = 6
x = 4
27. (3x2y4)(2xy2)(-4y)
-24x3y7 24x3y7
-12x3y7
28. 3(x) * 3(x + 1) * 3(2 - x)
27x3 3(3x + 3)
3(x + 3)
29. (5y6)(3y) - (y4)(8y3)
7y7 23y7
-3y7
30. [ (1/2)x2y3 ]4 (1/16)x8y12 (1/8)x6y9
16x8y12
31. (3a2)(2a3)2
6a8 12a8
12a12
32. Which of the following is NOT true? 2(x - 3) = 2x - 6
-x(x - 3) = 3x - x2
(x + 1)x = x2 + 1
33. (1/3)(xy2)(9x2y - 12xy2 + 6)
3x3y3 + 4x2y4 + 2xy2 3x3y3 - 4x2y4 + 2xy2
9x3y3 - 12x2y4 + 6xy2
34. 3a(6a - 2b) + 2b(2a - 1)
18a2 - 2ab - 2b 18a2 - 10ab - 2b
6a2 + 2ab - 2b
35. Solve: 2x(3x - 4) = 3x(2x + 1) - 11
x = 1 x = -1
x = 2
