Need help on the attached math problems. Please show all work .

1.Solve the following equation for A: 2A/3 = 8 + 4A

A. -2.4

B. 2.4

C. 1.3

D. -1.3

E. 0

2.Alfred wants to invest $4,000 at 6% simple interest rate for 5 years. How much interest will he receive?

A. $240

B. $480

C. $720

D. $960

E. $1,200

3.If r = 5 z then 15 z = 3 y, then r =

A. y

B. 2 y

C. 5 y

D. 10 y

E. 15 y

4.If y = 3, then y³(y³-y)=

A. 300

B. 459

C. 648

D. 999

E. 1099

5.Mary is reviewing her algebra quiz. She has determined that one of her solutions is incorrect. Which one is it?

A. 2x + 5 (x-1) = 9, x = 2

B. p - 3(p-5) = 10, p = 2.5

C. 4 y + 3 y = 28, y = 4

D. 5 w + 6 w - 3w = 64, w = 8

E. t - 2t - 3t = 32, t = 8

6.Simplify this statement (5ab)(3ab)

A. 15a⁶b

B. 15ab

C. -15a⁶b

D. 15a¹b⁴

7.Multiply 10⁴ by 10²

A. 10⁸

B. 10²

C. 10⁶

D. 10^-2

E. 10³

8.Divide x⁵ by x²

A. x⁷

B. x⁴

C. x¹⁰

D. x³

E. x^2.5

9.Find 8.23 x 10⁹

A. 0.00000000823

B. 0.000000823

C. 8.23

D. 8230000000

E. 823000000000

10.Evaluate the polynomial 3x - 4x+ 2x - 1 when x = -2

Answer: _________________

11.Convert to scientific notation: 234, 600,000,000

Answer: __________________

12. What is the common factor for this expression?4a - 12a + 16

Answer: ___________________

13.Determine if this statement is true or false. If A < 0, then |a| = -a

True or False

14.Solve the given linear equation.

2 - 4(x + 3) = 3x - 4

15.If 8x + 5x + 2x + 4x = 114, the 5x + 3 =

A. 12

B. 25

C. 33

D. 47

E. 86

16.What is the absolute value of -9?

A. -9

B. 9

C. 0

D. -1

E. 1

17.Which of the following is equivalent to 6x² - 11x - 2?

A) (6x - 1)(x + 2)

B) (3x - 1)(2x + 2)

C) (3x + 1)(2x - 2)

D) (6x + 1)(x - 2)

E) (x + 1)(6x - 2)

18.Which of the following is a factor of x² - 7x - 8?

A) x + 1

B) x + 8

C) x + 7

D) x - 1

E) x - 7

19.(2xy² - 3x²y) - (2x²y² - 4x²y) =

A) 2x²y²

B) -2x²y² -7x²y - 2x²y²

C) -2x²y² + x²y - 2x²y²

D) 2x²y² + x²y - 2x²y²

E) -2x²y² + x²y + 2xy

20.One factor of 3x² - 6x + 9 is

A) x² - 2x + 3

B) x² - 6x + 9

C) x² - 2x + 9

D) x + 3

E) None of these

21.If 8x + 5x + 2x + 4x = 114, the 5x + 3 =

A. 12

B. 25

C. 33

D. 47

E. 86

22.Which of the following is not a rational number?

A. -4

B. 1/5

C. 0.8333333...

D. 0.45

E.

23.10⁴ is not equal to which of the following?

A. 100,000

B. 0.1 x 10⁵

C. 10 x 10 x 10 x 10

D. 10² x 10²

E. 10,000

24..00875 equals:

A. 8.75 x 10^-2

B. 8.75 x 10^-3

C. 8.75 x 10^-4

D. 87.5 x 10^-3

E. 875 x 10^-4

25.When x + 3x - 2x + 7 is divided by x + 1, the remainder is

A)7

B)8

C)9

D)11

E) 13

26.Which one is a factor of:2x - 3x - 2

A)(2x - 1)

B)(x + 2)

C)(2x - 2)

D)(3x - 1)

E)(2x + 1)

27.Suppose x/6 = k/y and that x = 2 when y = 12.What is x when y is 8?

A)4/3

B)3/4

C)3

D)4

E) none of the above

28.Evaluate 5[2x - 3(x - y)] for x=7 and y=4

A)25

B)75

C)115

D)85

E) 15

29.2u(3u + 4) + 3u(2u+ 1) =

A)6u² +11u

B)12u² + 11u

C)12u² + 5u

D)12u² + 5

E) none of the above

30. 6y7xy

14 xy4x

A)3y

4x

B)12

49

C)42xy

56xy

D)4x

3y

E)3y

2x

31. The sum of 2z² + z + 5 and 4z² + 3z + 1 is

A)8z⁴ +3z² + 5

B)6z² + 3z + 6

C)6z⁴ + 4z² + 6

D)6z² + 4z + 6

E) none of the above

32.The product of x - 1 and 2x² - x - 1 is

A)x³ +x² + x + 1

B)2x³ - x2x - 1

C)2x³ - 3x² + 2x -1

D)x³ - x² - 1

E) 2x³ - 3x² + 1

33. Solve 3(x - 2) - 4(2 + 3x) = x + 10

A)- 2

B)- 45

C)- 12/5

D)12/7

E) done of the above

34.(4 - 5x)(3 + 25x) =

A)12 - 2x

B)12 + 55x

C)12 - 2x + 55x²

D)7 + 5x

E) 12 + 85x - 125x²

35. (p^x)^y =

A) p^x+y

B) pxy

C) yp^x

D) p^xy

E) None of these

36.Subtract 5x² - 9 from 7x² - x + 1

A) 2x² - x +10

B) -2x² + x - 10

C) 12x² - x - 8

D) 2x² - x - 8

E) None of these

37.(4u²v⁴)(3u³v)

A) 7u⁵v⁵

B) 12u⁵v⁵

C) 12u⁶v⁴

D) 7u⁶v⁴

E) None of these

38.If a = -2 and b = -2, what is the value of (a³ - 1) / (b - 1)

A) 3

B) -9

C) -3

D) 9

E) 6

39.In scientific notation, 3.0 x 10^-5 + 0.0000022 =

A) 3.5 x 10^-5

B) 3.22 x 10^-5

C) 5.2 x 10^-6

D) 3.5 x 10^-6

E) 5.2 x 10^-11

40. Factor completely the following:6x + 7x - 3

________________________

41.Find 8.23 x 10⁹

A. 0.00000000823

B. 0.000000823

C. 8.23

D. 8230000000

E. 823000000000

42. Solve 8 - (y + 2) = 3(y - 5) + 6

______________________