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EOC Review Unit 5 - Exponential Functions and Exponents

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

MAFS.912.A-REI.4.10 CALCULATOR ALLOWED

What is the value of 𝒌 such that the point (3, 𝒌) represents a solution to the equation 𝑦=1000(1.1)x𝑦=1000(1.1)^x  ?

a)

367

b)

1,100

c)

1,331

d)

3,330

2.

MAFS.912.F-IF.2.4, MAFS.912.F-IF.3.9 CALCULATOR ALLOWED

Compare the graph of 𝑓(𝑥)=2x𝑓(𝑥)=2^x   and the graph of the exponential function 𝑔(𝑥) described in the table. Select all the true statements.

a)

They have the same domain.

b)

They have the same to range.

c)

They have the same asymptote.

d)

They have the same 𝑦-intercept.

e)

They intersect at least once.

3.

MAFS.912.F-LE.1.1c CALCULATOR ALLOWED

Which situation could be represented by an exponential function?

a)

an account that earns $400 per year

b)

an account that earns 4% interest, compounded monthly, each year

c)

an account that earns 1% the first year, 2% the second year, 3% the third year and so on

d)

an account that earns $100 the first year, $200 the second year, $300 the third year and so on

4.

MAFS.912.F-LE.1.2 CALCULATOR ALLOWED

Which function best represents the graph?

a)

f(x)=3xf\left(x\right)=3^x  

b)

f(x)=3x+1 f\left(x\right)=3^{x+1\ }  

c)

f(x)=3x−1f\left(x\right)=3^x-1  

d)

f(x)=3x+1f\left(x\right)=3^x+1  

5.

MAFS.912.N-RN.1.2 CALCULATOR ALLOWED

Which of the following is a pair of equivalent radical expressions?

a)

√45 and 3√15

b)

√75 and 3√5

c)

√54 and 9√6

d)

√180 and 6√5

6.

MAFS.912.F-LE.1.1a NO CALCULATOR

In a biology lab experiment, a student observes that the number of cells in sample A is decreasing exponentially while the number in sample B is decreasing linearly. Which statement is possibly correct?

a)

In both samples, the number of cells decreases by 200 every hour.

b)

In both samples, the number of cells decreases by a factor of 0.96 every hour.

c)

In sample A, the number of cells decrease by 200 every hour, and in sample B, the number of cells decreases by a factor of 0.96 every hour.

d)

In sample A, the number of cells decrease by a factor of 0.96 every hour, and in sample B, the number of cells decreases by 200 every hour.

7.

MAFS.912.F-LE.2.5 NO CALCULATOR

The value of a certain car after 𝑡 years is modeled by the expression 15,000(0.7)t15,000(0.7)^t   . What are the initial cost, 𝐼, and the rate of depreciation, 𝑟, of this car?

a)

𝐼 = $10,500, 𝑟 = 30%

b)

𝐼 = $10,500, 𝑟 = 70%

c)

𝐼 = $15,000, 𝑟 = 30%

d)

𝐼 = $15,000, 𝑟 = 70

8.

MAFS.912.F-IF.2.4, MAFS.912.F-LE.1.1, MAFS.912.F-LE.2.5 NO CALCULATOR

Dario saved $15. He doubles the amount he saves each week. Does this represent an exponential function? Why or why not?

a)

No; there is not a constant difference.

b)

No; there is a constant ratio.

c)

Yes; there is a constant difference.

d)

Yes; there is not a constant ratio.

9.

MAFS.912.N-RN.1.1 NO CALCULATOR

Which statement explains why 5125^{\frac{1}{2}} is equal to √5?

a)

(512)2=512=51\left(5^{\frac{1}{2}}\right)^2=5^{\frac{1}{2}}=5^1  , so when you square 5125^{\frac{1}{2}}  the result is 5.

b)

512=152=125=55^{\frac{1}{2}}=\frac{1}{5^2}=\frac{1}{25}=\sqrt[]{5}  

c)

The inverse of 5125^{\frac{1}{2}}   is 525^2   , so 5125^{\frac{1}{2}}   is equal to the square root of 5.

d)

If 12⋅5=52\frac{1}{2}\cdot5=\frac{5}{2}  then 5125^{\frac{1}{2}}  must equal to √5.

10.

MAFS.912.N-RN.2.3 NO CALCULATOR

Which step should be placed in the blank to make the solution correct?

a)

x105x^{\frac{10}{5}}  

b)

x10−5x^{10-5}  

c)

x102x^{\frac{10}{2}}  

d)

x10−2x^{10-2^{ }}