Algebra 2 Carnegie

Mathematical Equivalence

ON

Tags

CCSS.HSA.APR.A.1

Consider the equation y=200(1.08)^x which models the increase in value of an autographed Annie program. Let y = the value of the item, let x = the number of years since the performance. What does the 1.08 in the equation indicate?

• The value of the item is increasing by $1.08 each year.

• The value of the item is increasing by 1.08% each year.

• The value of the item will increase to $200 1.08 years after purchase.

• The value of the item is increasing by 8% each year.

Tags

CCSS.HSF.LE.B.5

A population of mutant venus fly trap plants are taking over an island in the South Pacific, capturing everything from insects to small rodents. When they were first discovered they covered 4 square kilometers. As the population grows, the plants spread and cover more land. Use the table to write an equation.

• y=4(4)^x

• y=4(2.68)^x

• y=4(1+1.67)^x

• y=4(1.67)^x

Tags

CCSS.HSF.LE.A.2

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

In the year 1900, the total number of metric tons of copper produced in the world was 495,000. Each year since 1900, the total number of metric tons of copper produced has increased on average by about 3.25% over the amount produced the previous year. Which function models the total number of metric tons of copper produced in the year that is x years since 1900?

Tags

CCSS.HSF.LE.A.2

What is the y-intercept of the function?

• 2

• 3

• 1

• -2

Tags

CCSS.HSF-IF.C.7E

What is the y -intercept of  y=3(4)^x?

• 1

• 0

• 4

• 3

Tags

CCSS.HSF-IF.C.7E

In an exponential function, what does the 'a' represent? 

• SLOPE

• RATE OF CHANGE

• Y-INTERCEPT

• COMMON RATIO

Tags

CCSS.HSF.LE.B.5

Where is the y-intercept?

Tags

8.4.C