Exponents and Exponential Functions Unit Test Connexus grade 9
ANSWERS
1: –(10)–1
A) -1/10******
2: (-8.3)0
A) 1********
3: start fraction negative 1 over a superscript negative 2 baseline end fraction
A) -a^2********
4: 4^6 × 4^3
A: 4^9*********
(most of the answers are A yall bare with me)
5: Simplify this expression. (5)–5(5)7
B) 25********
6: (q9)2
B) q^18*************
7: (5t3)–4
C) 1/625t^12***********
8: What is the value of 12 x superscript negative 3 baseline y superscript negative 1 baseline for x equals negative 1 and y = 5?
A) -12/5**********
9: (t–4)–9t2
C) t^38***********
10: Find the simplified form of the expression.parenthesis three over two times b to the fourth power parenthesis cubed
A) 27/8b^12***********
11: Determine if the number 5.1 × 10–8 is written in scientific notation. If not, explain.
A) yes************
12: What is the order of 1.5 × 103, 1.4 × 10–1, 2 × 103, and 1.4 × 10–2 from least to greatest?
A) 1.4 × 10–2, 1.4 × 10–1, 1.5 × 103, 2 × 103***********
13: Find the simplified form of the expression. Give your answer in scientific notation.(3 × 106)(8 × 10–4)
B) 2.4 × 103*********
14: Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5.88 × 1012 miles. Suppose a star is 9.8 × 101 light-years from Earth. In scientific notation, approximately how many miles is it?
B) 5.76 × 1014 miles********
15: A dinosaur fossil is 92,170,000 years old. How can you express this age in scientific notation with the highest level of precision?
B) 9.217 times 10^7**********
16: Radio signals travel at a rate of 3 × 108 meters per second. How many seconds would it take for a radio signal to travel from a satellite to the surface of Earth if the satellite is orbiting at a height of 3.6 × 107 meters? (Hint: Time is distance divided by rate.)
B) 1.2 × 10–1 seconds**********
17:Does the table represent an exponential function?
A) yes**********
18: Does the rule y equals negative 5 x superscript 6 baseline represent an exponential function?
A) yes************
19: Choose the correct graph of the function y equals negative 8 left parenthesis 2 superscript x baseline right parenthesis.
A) first graph **********
(bottom left graph grid going downwards)
20: Choose the correct graph of the function y equals one-fifth times 3 to the x.
B) second graph*********
(top right graph grid going upwards)
21: Suppose that the amount of algae in a pond doubles every 4 hours. If the pond initially contains 90 pounds of algae, how much algae will be in the pond after 12 hours?
A) 720 pounds**********
22: Mark raises guppies in an aquarium. He finds out that guppies reproduce very rapidly, and the number doubles every month. He starts out with 10 guppies, and the function y equals 10 left parenthesis 2 superscript x baseline right parenthesis models the number of guppies he will have after x months. Which graph represents this function?
B) second graph curving upwards********
23:A $4,000.00 principal earns 5% interest, compounded annually. After 4 years, what is the balance in the account?
B) $4,862.03**********
24: A car costs $25,750.00 and depreciates in value by 20% per year. How much will the car be worth after 5 years?
B) $8,437.76***********
Make sure to pay attention to some things in school so you can graduate. It's not gonna be cute when we get held back and I hope we graduate, I'm not one to talk cuz I googled these answers too but I hope you guys do better than I did. stay smart yall. </3