Illustrative Math Unit 2 Algebra 2

A youth basketball camp had an increasing enrollment from the year 2000 to 2005. The beginning enrollment was 230 kids. Each year for the next five years the enrollment increased 3%. Use the exponent growth function y=a(1+r)^t to find the enrollment for the year 2000 through the year 2005

• 230, 237, 244, 251, 259, 267

• 237, 244, 251, 259, 267, 275

• 236, 243, 250, 257, 264, 271

• 230, 237, 239, 244, 249, 254

Tags

CCSS.HSF-LE.A.1C

What is the solution of 7^x=36? Use the calculator to determine your answer. Enter your answer to the nearest hundredth.

• 1.5

• 1.8

• 1.84

• 0.54

Tags

CCSS.HSF.LE.A.4

Evaluate the image. What is the solution?

• 4

• .1

• 3

• 14

Write the solution to the following equation as a logarithm, and then evaluate the solution. Round your answer to the nearest thousandth.

e^(4x) = 21

• x = ln(3)/4 ≈ 0.275

• x = ln (3/4) ≈ .0288

• x = log (3)/4 ≈ 0.119

• x = log (3/4) ≈ -0.125

Tags

CCSS.HSF.BF.B.5

Evaluate the problem in the image. What is the solution?

• -4

• -2

• 3

• 9

Solve for x.

• 3.5

• 18.5

• 5

• 10.5

Evaluate the expression using the change of base formula. Round to the nearest thousandth.

• 4.09

• 0.24

• 4.087

• 0.244

Pete buys the baseball card of a minor - league right - fielder for $100, hoping that it will increase in value. Unfortunately, the card loses 25% of its value every month after he buys it.

If Pete sells the card after 6 months, how much should he expect to get for it? Round your answer to the nearest dollar.

• $17.80

• $381.47

• 381

• $18

Tags

CCSS.HSF.BF.A.2

Maxwell is determining the value of his furniture for insurance purposes. His bedroom furniture cost $2,100 when he purchased it 4 years ago. Maxwell will base the current value of the furniture on a depreciation rate of 12% per year. To the nearest dollar, Maxwell's bedroom furniture is now worth

• $3,304

• $3,304.39

• $1,259

• $1,259.36

Tags

CCSS.HSF.BF.A.2

Rusty is in college and took out a loan from his family to help pay for textbook and tuition. He borrowed $2,000.

His family charged him 5% interest per year (compounded annually) to motivate him to pa them back. Five years later, Rusty has a job and wants to pay off the loan in full with one payment. How much will Rusty owe?

• $2,100

• $2,102

• $2,553

• $2,567