Algebra Regents Part I

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

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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

• 
• 
• 
• 

Answer explanation

Tags

CCSS.HSN.CN.C.9

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?

Tags

CCSS.HSF.LE.A.4

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

What is the value of y in the solution to this system of equations? 3x - 5y = 22 y = -5x + 32

Mathematical Equivalence

ON

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Graph the solution to the system. The first equation has been plotted for you.

y = -3x-3

y= 4x +4

Tags

CCSS.8.EE.C.8B

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.

Tags

CCSS.HSA.APR.B.3

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

Tags

CCSS.HSN.CN.C.8

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

• -6

• -8

• 11

• 4

Answer explanation

• 1

• 2

• 3

• 4

Tags

CCSS.HSF.IF.A.2