Please help I'm failing:(?

15. Consider this equation: 13x - 12 = 7x

Which equation shows a reasonable first step in solving the equation?

A. x = 7x

B. 13x = 19x

C. -12 = -6x

D. -12 = 20x

16. Consider this equation: (2x + 5)/5 = (x - 2)/3

What is the solution to the equation?

A. -25

B. -15

C. -9

D. -5

17. The formula A = P(1 + r/n)nt gives the amount, A, in a savings account, where

P is the principal, or initial amount deposited in the account;

r is the annual interest rate, expressed as a decimal;

n is the number of times per year the interest is compounded; and

t is the number of years.

Alicia has money that she wants to deposit in a college savings account.

She is considering how the amount in the account will grow based on different values of P.

Which statement is true for any value of P?

A. If P is multiplied by 1.5, then A will be multiplied by 1.5.

B. If P is multiplied by 1.5, then (1 + r/n)nt will be multiplied by 1.5.

C. If P is increased by $1,500, then A will be increased by $1,500.

D. If P is increased by $1,500, then (1 + r/n)nt will be increased by $1,500.

18. Shauna saves money to buy a computer. She receives $200 as a gift from her grandparents. After the first week, she saves the same amount each week from her part-time job. The table shows the amount of money Shauna saves through 4 weeks.

Which expression shows the total amount Shauna saves through Week n?

A. 250n

B. 200 + 50n

C. 200 + 50(n + 1)

D. 200 + 50(n - 1)

19. Consider this inequality: (x + 6)/-4 ≤ 12.

Which of these inequalities is equivalent?

A. x ≤ -54

B. x ≥ -54

C. x ≤ 10

D. x ≥ 10

20. Simplify the inequality -2/3 x + 18 ≤ 6 1/2

A. x ≥ -7 2/3

B. x ≤ -7 2/3

C. x ≥ -17 1/4

D. x ≤ -17 1/4

21. Consider the function f(x) and its transformation g(x).

Function: f(x) = 3x; Transformation: g(x) = 3x + 7

Which statement describes the shift made to f(x)?

A. the line shifts up 7 units

B. the line shifts left 7 units

C. the line shifts right 7 units

D. the line shifts down 7 units

22. Consider the graph of a system of equations.

Which ordered pair BEST represents a solution to the system of equations?

A. (–3, 5) C. (1.4, -2.1)

B. (0, 0) D. (1.1, 0)

23. A veterinary hospital charges $12 per day for boarding and a one-time fee of $25 for grooming. The graph shows the cost of boarding and grooming over a period of days.

Which statement is true?

A. All solutions will be in the first quadrant.

B. As days increase, grooming fees increase.

C. As costs increase, grooming fees increase.

D. All solutions are greater than the y-intercept.

24. A part-time employee at a furniture store earns $200 per week and a 3% commission on all her furniture sales. Which inequality can be used to find the value of furniture she must sell to earn at least $650 in one week?

A. 200 + 0.03x ≤ 650

B. 200 + 0.03x ≥ 650

C. 650 + 0.03x ≤ 200

D. 650 + 0.03x ≥ 200

25. Consider the table.

Which function represents f(n)?

26. What is (a1/3• a5/3)/a3in simplest form?

A. 1/(a22/9)

B. 1/a

C. a

D. a5/3

27. A company sells chefs' knives online. The cost associated with processing each order is estimated to be $6. The net profit per order is given by the function P(n) = 19.99n - 6, where n is the number of knives ordered. If a customer orders 3 knives, what is the net profit to the company for that order?

A. $33.98

B. $53.97

C. $59.97

D. $65.97

28. Consider the equation: 3x - 2y = 1

Which equation has the same solutions as this equation?

A. y = 2/3 x + 2/9

B. y = 3/2 x - 1/2

C. y = -2/3 x + 2/9

D. y = -3/2 x - 1/2

29. Consider this pair of inequalities: 4x - 6 < 42 and x + 2 ≥ 1

Which value is a solution to both inequalities?

A. -5

B. -1

C. 12

D. 13

30. Jeremy has found that a mixture of 1/16 ammonia and 15/16 water works best for cleaning windows. He plans to take the 6 quarts of 1/8 ammonia mixture he has on hand and combine it with some 1/32 ammonia mixture to create the 1/16 mixture he wants. The equation 1/32 x + 1/8 (6) = 1/16 (6 + x) can be used to find the number of quarts of the mixture, x, that Jeremy needs. How many quarts of 1/32 mixture will Jeremy need?

A. 4 B. 12 C. 18 D.36