Free Printable GGG Unit Exam

1.

Choose ALL of the equations that can describe an exponential growth or decay.

a)

$y=\frac{1}{3}x$

b)

$y=-0.3x-2^4$

c)

$y=30\cdot5^x$

d)

$y=\left(\frac{2}{5}\right)^x$

2.

Choose the expression which represents the simplest form of $\left(-4x^2\right)^3$

a)

$-64x^5$

b)

$-64x^6$

c)

$64x^6$

d)

$64x^5$

3.

Which of the following accounts will pay the most money for the same investment?

a)

2 years at an annual yield of 18%

b)

4 years at an annual yield of 9%

c)

6 years at an annual yield of 6%

d)

13 years at an annual yield of 3%

4.

What is the length in centimeters for the hypotenuse of the triangle above?

a)

$2^2+8^2$

b)

$\sqrt{2^2+8^2}$

c)

$\sqrt{\left(8-2\right)}$

d)

$\sqrt{8}+\sqrt{2}$

5.

A rumor starts with 10 people and doubles every hour. Which equation could model this situation?

a)

$R=10\left(h\right)^2$

b)

$R=10\left(2\right)^h$

c)

$R=2\left(h\right)^{10}$

d)

$R=2\left(10\right)^h$

6.

Simplify the expression $5^{10}\cdot5^{100}$

a)

$5^{1000}$

b)

$25^{1000}$

c)

$5^{110}$

d)

$25^{110}$

7.

A lake has a rare breed of lotus flower that quadruples (4 times) in number every minute. If one-fourth of the lake is full of flowers after 30 minutes, what is the total time taken for the entire lake to be full of lotus flowers?

a)

31 minutes

b)

32 minutes

c)

61 minutes

d)

62 minutes

8.

In the year 2000, there were 5000 whales of a certain species remaining. Scientists have predicted that the species will decline as shown in the table above. Which equation models the population pattern?

a)

$w=5000\left(\frac{1}{5}\right)^y$

b)

$w=5000\left(1.2\right)^y$

c)

$w=5000\left(\frac{4}{5}\right)^y$

d)

$w=5000\left(1.8\right)^y$

9.

In the year 2000, there were 5000 whales of a certain species remaining. Scientists have predicted that the species will decline as shown in the table above. If the danger point for the whale population comes when the population falls below 1000 whales, when will that happen?

a)

After year 6

b)

After year 7

c)

After year 8

d)

After year 9

10.

In the year 2000, there were 5000 whales of a certain species remaining. Scientists have predicted that the species will decline as shown in the table above. What is the decay rate demonstrated in the model?

a)

5%

b)

20%

c)

40%

d)

80%

11.

In the equation $f=10\left(\frac{4}{5}\right)^w$

a)

The decay rate is 80%

b)

The decay rate is 20%

c)

The growth rate is 80%

d)

The growth rate is 20%

12.

The lines $y=2x+3$ and $y=-5x-4$ intersect at which of the following points?

a)

$\left(\frac{1}{7},\ -\frac{18}{7}\right)$

b)

$\left(-\frac{7}{3},\ -\frac{23}{3}\right)$

c)

$\left(1,\ -1\right)$

d)

$\left(-1,\ 1\right)$

13.

Simplify $7x^3y^{-5}z^{-2}\cdot5^{-2}x^4y^{11}z^{-3}$ using only positive exponents in your answer.

a)

$\frac{35x^7y^6}{z^5}$

b)

$\frac{7x^7y^6}{25z}$

c)

$\frac{35x^7y^6}{z}$

d)

$\frac{7x^7y^6}{25z^5}$

14.

$2\left(x-5\right)=8x-\left(4x+6\right)$

Which of the following is the best solution for the equation?

a)

$x=-\frac{11}{2}$

b)

$x=\frac{1}{2}$

c)

$x=-7$

d)

$x=-2$

15.

Which of the following lines are perpendicular to the line $y=2x+17$ ?

a)

$y=-\frac{1}{2}x+17$

b)

$y=\frac{1}{2}x-17$

c)

$y=2x-17$

d)

$y=-2x+17$

16.

A population of 16000 bacteria has a decay rate of 50% every six hours. How many bacteria are left after 24 hours?

a)

8000

b)

4000

c)

1000

d)

400

17.

The two equations that best represent Table 1 and Table 2 correspondingly are:

a)

Table 1 Table 2
$\ \ \ \ y=4\left(9\right)^x\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ y=156\left(4\right)^x$

b)

Table 1 Table 2
$\ \ \ \ \ \ \ \ \ y=4\left(3\right)^{x-1}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ y=40000\left(0.25\right)^x$

c)

Table 1 Table 2
$\ \ \ \ \ \ \ y=4\left(3\right)^{x-1}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ y=40000\left(0.5\right)^x$

d)

Table 1 Table 2
$\ \ \ \ \ \ \ \ \ \ \ y=4\left(9\right)^x\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ y=40000\left(0.5\right)^x$

GGG Unit Exam

Total questions: 17

Worksheet time: 39mins

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