Algebra II Regents Part I Review

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?

• month 10 to month 60

• month 19 to month 69

• month 36 to month 72

• month 60 to month 73

Answer explanation

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

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Answer explanation

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...

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Answer explanation

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?

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

• 2d(d² − 9)(d + 3)

• 2d(d² + 9)(d + 3)

• 2d(d + 3)² (d − 3)

• 2d(d − 3)² (d + 3)

Answer explanation

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

Which equation could represent p(x)?

• p(x)=(x²+9)(x−2)

• p(x)=x³−2x²+9x+18

• p(x)=(x²−9)(x−2)

• p(x)=x³+2x²−9x−18

Answer explanation

When you type each function into the calculator, choice 3 looks like the given image and shares the same zeros/roots/x-intercepts.

• 81x⁵ y³

• 3^1.5 x² y

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Answer explanation

• {−5,8}

• {8}

• {−4,10}

• { }

Answer explanation

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

• x² + 4

• x² − 4

• x² − 4xi − 4

• x² − 2xi − 4

Answer explanation

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Answer explanation