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Algebra II Regents Part I Review

Total questions: 15

Worksheet time: 45mins

Name
Class
Date
1.

Joelle has a credit card that has a 19.2% annual interest rate compounded monthly. She owes a total balance of B dollars after m months. Assuming she makes no payments on her account, the table illustrates the balance she owes after m months.

Over which interval of time is her average rate of change for the balance on her credit card account the greatest?

a)

month 10 to month 60

b)

month 19 to month 69

c)

month 36 to month 72

d)

month 60 to month 73

2.

A solution of the equation 2x2+3x+2=0 is...

a)

b)

c)

d)

3.

The growth of a $500 investment can be modeled by the function P(t) = 500(1.03)t , where t represents time in years. In terms of the monthly rate of growth, the value of the investment can be best approximated by...

a)

b)

c)

d)

4.

A local university has a current enrollment of 25,000 students. The enrollment is increasing continuously at a rate of 1.5% each year. Which logarithm is equal to the number of years it will take for the population to increase to 50,000 students?

a)

ln20.15\frac{\ln2}{0.15}

b)

ln20.015\frac{\ln2}{0.015}

c)

ln21.5\frac{\ln2}{1.5}

d)

ln250000.015\frac{\ln25000}{0.015}

5.

The completely factored form of 2d4 + 6d3 − 18d2 − 54d

a)

2d(d2 − 9)(d + 3)

b)

2d(d2 + 9)(d + 3)

c)

2d(d + 3)2 (d − 3)

d)

2d(d − 3)2 (d + 3)

6.

The graph of the function p(x) is sketched to the left.

Which equation could represent p(x)?

a)

p(x)=(x2+9)(x−2)

b)

p(x)=x3−2x2+9x+18

c)

p(x)=(x2−9)(x−2)

d)

p(x)=x3+2x2−9x−18

7.

Given y > 0, the expression 3x2y×27x2y23\sqrt[]{3x^2y}\times\sqrt[3]{27x^2y^2} is equivalent to

a)

81x5 y3

b)

31.5 x2 y

c)

d)

8.

What is the solution set of x=3x+40x=\sqrt[]{3x+40} ?

a)

{−5,8}

b)

{8}

c)

{−4,10}

d)

{ }

9.

Given that i is the imaginary unit, the expression (x − 2i)2 is equivalent to

a)

x2 + 4

b)

x2 − 4

c)

x2 − 4xi − 4

d)

x2 − 2xi − 4

10.

Given x ≠ −2, the expression 2x2+5x+8x+2\frac{2x^2+5x+8}{x+2} is equivalent to

a)

b)

c)

d)

11.

What is the solution set of the equation 2x3xx+3=xx+3?\frac{2}{x}-\frac{3x}{x+3}=\frac{x}{x+3}?

a)

{3}

b)

{ 32\frac{3}{2} }

c)

{−2,3}

d)

{-1, 32\frac{3}{2} }

12.

Consider the system to the left.

Which value is not in the solution, (x,y,z), of the system?

a)

-6

b)

-8

c)

11

d)

4

13.

A recursive formula for the sequence 64,48,36,. . . is

a)
b)
c)
d)
14.

The first term of a geometric sequence is 8 and the fourth term is 216. What is the sum of the first 12 terms of the corresponding series?

a)

236,192

b)

708,584

c)

2,125,760

d)

6,377,288

15.

A sociologist reviews randomly selected surveillance videos from a public park over a period of several years and records the amount of time people spent on a smartphone. The statistical procedure the sociologist used is called

a)

an observational study

b)

an experiment

c)

a sample survey

d)

a census