Free Printable Unit 7-Extra Credit Review

1.

Determine if each of the following functions represents exponential growth or exponential decay

a)

Exponential Growth

b)

Exponential Decay

2.

Determine if each of the following functions represents exponential growth or exponential decay

a)

Exponential Growth

b)

Exponential Decay

3.

Ana made an

investment. The function

$f\left(x\right)=9000\left(1.05\right)^x$ can

be used to determine the

value of his investment

after x years. Is this function growth or decay

a)

Exponential Growth

b)

Exponential Decay

4.

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

a)

300

b)

1.16

c)

.16

d)

x

5.

$\frac{x^3y^{10}}{xy^{10}}$ Simplify

a)

$x^2$

b)

$x^2y$

c)

$\frac{x^2}{y}$

d)

$x^4y^{20}$

6.

Determine if each of the following functions represents exponential growth or exponential decay

a)

Exponential Growth

b)

Exponential Decay

7.

Drag two points to create the graph of $f\left(x\right)=4\left(\frac{1}{2}\right)^x$

8.

Simplify. $\frac{27x^4}{9x^7}$

a)

b)

c)

d)

9.

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

a)

70(2)³⁵

b)

70(2)⁵

c)

2(70)⁵

d)

5(70)²

10.

If the function f(x) = 4500(.75)^x, represents the amount of money John has left to pay on his school loans, what is the decay rate?

a)

4500

b)

.75

c)

75%

d)

25%

11.

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

a)

y=5000(0.7)^x

b)

y=30(5000)^x

c)

y=5000(1.3)^x

d)

y=5000x^x

12.

According to exponent rules, when we raise a power to another exponent we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

13.

Simplify: (2x³y⁵)³

a)

8x⁹y¹⁵

b)

6x⁹y¹⁵

c)

2x⁹y¹⁵

d)

8x⁶y⁸

14.

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

a)

14327

b)

4309

c)

839

d)

7680

15.

$5^0=$

(a)

16.

Simplify:
(5ab²)²

a)

25a²b⁴

b)

10a²b⁴

c)

5a²b⁴

d)

25ab²

17.

Simplify $\frac{10x^4}{15x^2}$ .

a)

$\frac{x^2}{5}$

b)

$5x^2$

c)

$\frac{2x^4}{3}$

d)

$\frac{2x^2}{3}$

18.

You buy a new computer for $2100. The computer decreases by 50% annually. How much is it worth after 2 years.

a)

225

b)

325

c)

425

d)

525

19.

Simplify $\frac{-6x^{ }}{-8x^5}$ .

a)

$\frac{3}{4x^4}$

b)

$\frac{6}{8x^4}$

c)

$-\frac{3}{4x^4}$

d)

$-\frac{6}{8x^4}$

20.

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^twhere t is the number of years since 1990. What was the population in 1990?

a)

0 people

b)

It doesn't say

c)

I don't know

d)

6191

21.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

22.

(7.1 × 10⁶) ÷ (8.2 × 10¹)

a)

8.659 × 10⁵

b)

8.659 × 10⁴

c)

-1.1 × 10⁴

d)

8.659 × 10⁶

23.

simplify $\frac{8x^4y^2z}{12x^2y^7z}$

a)

b)

c)

d)

24.

Drag the two point to create the function $y=4\left(0.5\right)^x+2$

25.

(5 x 10⁶)(5 x 10⁷)

a)

2.5 x 10¹²

b)

2.5 x 10¹⁴

c)

25 x 10¹²

d)

25 x 10¹³

26.

$Simplify:\ \ \frac{8w^3y^{11}}{\left(4w^3y^5\right)^2}$

a)

$\frac{2y}{w^3}$

b)

$\frac{1y}{2w^3}$

c)

$\frac{y^4}{w^2}$

d)

$\frac{1y^{21}}{2w^9}$

Unit 7-Extra Credit Review

Total questions: 26

Worksheet time: 1hrs 20mins

Similar Resources on Wayground