Solving (Nonlinear) and Advanced Solving

Question 1

27. h(x) = 3x3+18x2+15x and j(x) =x2+6x+5, which function below is divisible by 3x+1?

Accepted Answer

v(x) = 2h(x) + 2j(x)

Question 2

5. Which of the following expressions is equivalent to the expression: 25x4+40x2y2+16y4

Accepted Answer

(5x2+4y2)2

Question 3

For the equation x3-9x2+3x-27=0, there is one real root at x = a. What is the value of a?

Accepted Answer

x = 9

Question 4

6. Which of the following must be a factor of g(x)?

Accepted Answer

x-1

Question 5

13. Which of the following is equivalent to the expression 16a/64b

Accepted Answer

42a-3b

Question 6

If the equation has factors (x+5), (x-3), and (x-7), which of the following is a solution?

Accepted Answer

-5

Question 7

36. Home is worth $120,000 and its value increases by 12% per year for 10 years. H = 120000(k)y

Accepted Answer

k = 1.12

Question 8

14. If m is a variable and n constant with 6m2 + 5m = n, which n produces no real solutions?

Accepted Answer

n = -6/5

Question 9

12. What are the solutions for x if 4/5x2 = -2x - 1/5

Accepted Answer

x = -5/4 ± √21/4

Question 10

14. (x+d)(x+e)=x2+fx+33. d,e, f are positive constants. Which are possible integer values of f?

Accepted Answer

f = 14 or 34

Question 11

13. Ruwanthi's car was initially worth $5000. The value decreases by 10% each year. v(n) =

Accepted Answer

v(n)=5000(0.9)n

Question 12

11. What is the sum of the distinct possible values of x for the equation: x2+3x-10=0?

Accepted Answer

-3

Question 13

10. If a5 = -4, what is the value of a15?

Accepted Answer

-64

Question 14

15. √(c3d-3)/∛(cd2)

Accepted Answer

c7/6/d13/6

Question 15

(7-2i)-(4i+8i2) is equivalent to which of the following?

Accepted Answer

15-6i

Question 16

12. (3+i)/(-3+i) is equivalent to which of the following?

Accepted Answer

-4/5 - 3i/5

Question 17

The system of equations y = 3x-3 and y = -2x2+7x-1 has how many REAL solutions?

Accepted Answer

2

Question 18

B = 100(1.09)k is equivalent to which function below

Accepted Answer

B = 100(1.09)m/60

Questions 18