Exponentials Test Review
Algebra 1 CC
Name: _______________________
Date: ____________
Short Answer:
1. Simplify: (6𝑥 −2 𝑦 3 )−3
2. Simplify:
12𝑥 8 𝑦 −7
(4𝑥 −2 𝑦 −6 )2
3. Simplify: (−15𝑓𝑔2 )0
4. Simplify: (4𝑔)−3
5. Solve for x: 53𝑥 = 57𝑥−2
6. Solve for x: 3𝑥 = 9𝑥+5
7. Solve for x: 36−3𝑥 = 216
8. Solve for x: 64−𝑥+1 =
3
8 𝑥
9. Is the following growth or decay? 𝑦 = 4 ∙ (7)
8 𝑥
1
4
3 𝑥
10. Is the following growth or decay? 𝑦 = 2 ∙ (5)
2 𝑥
11. State the initial value (y-intercept). 𝑦 = 2 ∙ (7)
12. State the initial value (y-intercept). 𝑦 = (3)
13. Match the graph with the equation:
14. Match the graph with the equation:
Graphing: Make a t-table, find 5 points and graph the function below.
𝟏 𝒙
15. 𝒚 = (𝟐)
16. 𝒚 = 𝟑 ∙ 𝟐𝒙
Word Problems:
17. Find a bank account balance if the account starts with $100, has a simple annual rate of 4%, and the money left
in the account for 4 years.
18. In 1985, there were 285 cell phone subscribers in the small town of Centerville. The number of subscribers
increased by 75% per year after 1985. How many cell phone subscribers were in Centerville in 1989?
19. Each year the local country club sponsors a tennis tournament. Play starts with 128 participants. During each
round, half of the players are eliminated. How many players remain after 5 rounds?
20. The population of Winnemucca, Nevada, can be modeled by 𝑃 = 6191(1.04)𝑡 where t is the number of years
since 1990. What was the population in 1990? By what percent did the population increase by each year?
21. You deposit $1600 in a bank account. Find the for each of the following situations:
a. The account pays 2.5% annual interest compounded monthly after 2 years.
b. The account pays 1.75% annual interest compounded quarterly after 3 months.
c.
The account pays 4% annual interest compounded yearly after 3 years.
22. The foundation of your house has about 1,200 termites. The termites grow at a rate of about 2.4% per day. How
long until the number of termites doubles?