Properties of Exponents and Exponential Functions

Which variable represents time passed in the function y=ab^x?

• y

• a

• b

• x

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(1 - 0.30)^x

• y=30(5000)^x

• y=5000(1 + 0.30)^x

• y=5000x^x

Tags

CCSS.HSF.LE.A.2

What is the simplified version of

• 3.9 x 10⁶

• 4 x 10²⁰

• 4 x 10⁶

• 3.9 x 10²⁰

Tags

CCSS.8.EE.A.4

Multiply:
(9.4 x 10⁶)(3.2 x 10⁵)

• 30.08 x 10¹¹

• 3.8 x 10¹

• 3.008 x 10¹²

• 2.9375 x 10¹

Tags

CCSS.8.EE.A.4

• 4^4/3
• 4^3/4
• 2^4/3
• 2^3/4

Tags

CCSS.HSN.RN.A.2

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
Is the population of elephants increasing or decreasing?

• Increasing

• Decreasing

Tags

CCSS.HSF-IF.C.8B

8⁷ ⁄ 8²

• 8⁵

• 8⁹

• 8¹⁴

• 1⁵

Tags

CCSS.8.EE.A.1

Based on the graph, which statement does not appear to be true?

• The graph has a horizontal asymptote at y=0

• The y-intercept is at the point (0, 3)

• The graph represents exponential growth.

• The graph of the function shows a decrease over time.

Tags

CCSS.HSF-IF.C.7E

Chester was running an experiment on a sample of 400 grams of a radioactive isotope with a half-life of 1 hour. He was determining the amount of isotope remaining after various elapsed time intervals. Using his collected data, Chester formulated the graph below to model the amount of radioactive isotope remaining after an elapsed time in hours. What is the y-intercept and asymptote?

• y-intercept: (0,400); asymptote: y=0

• y-intercept: (0,0); asymptote: y=4

• y-intercept: (0,7); asymptote: x=0

• y-intercept: (0,10); asymptote: y=4

Tags

CCSS.HSF-IF.C.7E

Simplify the following expression:

(xyz)⁰ =

• 0

• 1

• xyz

• -1

Tags

CCSS.8.EE.A.1