Free Printable A1 U7 Exponential Functions Assessment

1.

Choose the equation that represents the following graph.

a)

$y=40\left(\frac{1}{3}\right)^x$

b)

$y=40\left(3\right)^x$

c)

$y=120\left(-3\right)^x$

d)

$y=120\left(\frac{1}{3}\right)^x$

2.

Choose the equation that represents the following graph.

a)

$y=3\left(\frac{5}{3}\right)^x$

b)

$y=3\left(\frac{3}{5}\right)^x$

c)

$y=5\left(\frac{5}{3}\right)^x$

d)

$y=5\left(\frac{3}{5}\right)^x$

3.

Choose the equation that correctly represents the following exponential function.

a)

$y=1600(1.25)^x$

b)

$y=1600\left(0.8\right)^x$

c)

$y=2000\left(1.25\right)^x$

d)

$y=2000\left(0.8\right)^x$

4.

Choose the equation that correctly represents the following exponential function.

a)

$y=151(0.8)^x$

b)

$y=61.85\left(0.8\right)^x$

c)

$y=61.85\left(1.25\right)^x$

d)

$y=151\left(1.25\right)^x$

5.

Find the equation of the exponential function that passes through the given set of points.

a)

$y=5\left(4\right)^x$

b)

$y=5\left(64\right)^x$

c)

$y=5\left(0.015\right)^x$

d)

$y=5\left(0.24\right)^x$

6.

Find the equation of the exponential function that passes through the given set of points.

a)

$y=4\left(3\right)^x$

b)

$y=36\left(3\right)^x$

c)

$y=1.33\left(9\right)^x$

d)

$y=108\left(9\right)^x$

7.

An online store began selling a new type of basketball shoe. In week two, 60 pairs of shoes were sold. In week 4, the store sold 240 pairs. Write an exponential equation that relates the number of shoes (in pairs) sold to the week number.

a)

$y=15\left(2\right)^x$

b)

$y=15\left(4\right)^x$

c)

$y=30\left(2\right)^x$

d)

$y=4\left(2\right)^x$

8.

The new Bamo Super Ball has a rebound ratio of 0.97. If you dropped the ball from a height of 125 feet, how high will it bounce on the tenth bounce?

a)

y = 92.18 ft

b)

y = 90 ft

c)

y = 13.39 ft

d)

y = 12.5 ft

9.

Choose the graph that correctly plots the following equation: $f\left(x\right)=12\cdot\left(\frac{1}{3}\right)^x$

a)

b)

c)

d)

10.

Choose the graph that correctly plots the following equation: $f\left(x\right)=4\cdot2^x$

a)

b)

c)

d)

11.

Rewrite the following as an expression without negative exponents: $m^{-4}$

a)

$\frac{1}{m^4}$

b)

$\frac{1}{m^{-4}}$

c)

$m^4$

d)

$4m$

12.

Rewrite the following as an expression without negative exponents: $\frac{1}{n^{-6}}$

a)

$n^6$

b)

$n^{-6}$

c)

$6n$

d)

$\frac{1}{n^6}$

13.

Change the following expression to exponential form: $^3\sqrt{x^5}$

a)

$x^{\frac{5}{3}}$

b)

$x^{\frac{3}{5}}$

c)

$x^2$

d)

$x^{15}$

14.

Change the following expression to radical form: $y^{\frac{4}{7}}$

a)

$^7\sqrt{y^4}$

b)

$^4\sqrt{y^7}$

c)

$^{\frac{4}{7}}\sqrt{y}$

d)

$\sqrt{y^{28}}$

15.

Rewrite the following percentage as a multiplier: 12% Increase

a)

1.12

b)

0.12

c)

0.88

d)

1.88

16.

Rewrite the following percentage as a multiplier: 7% Decrease

a)

0.93

b)

0.07

c)

1.93

d)

1.07

17.

Rewrite the following multiplier as a percent: 0.17

Be sure to indicate if it is a percent increase or a percent decrease.

a)

83% Decrease

b)

17% Decrease

c)

83% Increase

d)

17% Increase

18.

Rewrite the following multiplier as a percent: 1.56

Be sure to indicate if it is a percent increase or a percent decrease.

a)

56% Increase

b)

44% Increase

c)

56% Decrease

d)

44% Decrease

A1 U7 Exponential Functions Assessment

Total questions: 18

Worksheet time: 5hrs 30mins

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