Quiz about Ch 7 Study Guide

Question 1

Evaluate without using a calculator:

$$-12+4\cdot5^2$$

Accepted Answer

88

Answer

-200

Answer

-80

Answer

112

Question 2

Evaluate without using a calculator:

$$8^0$$

Accepted Answer

1

Answer

0

Answer

8

Answer

80

Question 3

Evaluate without using a calculator:

$$5^{-3}$$

Accepted Answer

$$\frac{1}{125}$$

Answer

-15

Answer

-125

Answer

$$-\frac{1}{125}$$

Question 4

Evaluate without using a calculator:

$$\left(\frac{2}{3}\right)^{-2}$$

Accepted Answer

$$\frac{9}{4}$$

Answer

$$\frac{4}{6}$$

Answer

$$-\frac{4}{9}$$

Answer

$$-\frac{9}{4}$$

Question 5

Evaluate without using a calculator:

$$\left(\frac{1}{10}\right)^{-4}$$

Accepted Answer

10000

Answer

-10000

Answer

$$\frac{1}{10000}$$

Answer

$$-\frac{1}{10000}$$

Question 6

Evaluate without using a calculator:

$$\left(-5b^{-5}d\right)\left(-4b^{-7}d^{-4}\right)$$

Accepted Answer

$$20b^{-12}d^{-3}$$

Answer

$$-20b^{-35}d^{-4}$$

Answer

$$-9b^{-12}d^{-4}$$

Answer

$$-9b^{35}d^{-4}$$

Question 7

Evaluate without using a calculator:

$$\frac{6x^5y^9z^{-3}}{3x^{-2}y^9z}$$

Accepted Answer

$$\frac{2x^7}{z^4}$$

Answer

$$\frac{x^7}{2z^4}$$

Answer

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

Answer

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

Question 8

Evaluate without using a calculator:

$$\left(-2g^9\right)^3$$

Accepted Answer

$$-8g^{27}$$

Answer

$$-6g^{27}$$

Answer

$$-5g^{12}$$

Answer

$$8g^{12}$$

Question 9

Determine whether the function represents exponential growth or decay:

$$f\left(x\right)=4\cdot0.76^x$$

Accepted Answer

decay

Answer

growth

Question 10

Determine whether the function represents exponential growth or decay:

$$f\left(x\right)=3\left(\frac{9}{4}\right)^x$$

Accepted Answer

growth

Answer

decay

Question 11

Find the y-intercept:

$$f\left(x\right)=-18\cdot2^{x-1}$$

Accepted Answer

-9

Answer

-18

Answer

2

Answer

$$\frac{1}{2}$$

Question 12

Find the y-intercept:

$$f\left(x\right)=80\cdot4^x$$

Accepted Answer

80

Answer

20

Answer

4

Answer

1

Question 13

Write the exponential function $$f\left(x\right)=20\left(\frac{1}{4}\right)^{x-1}$$ in the form of $$f\left(x\right)=a\cdot b^x$$ .

Accepted Answer

$$80\left(\frac{1}{4}\right)^x$$

Answer

$$f\left(x\right)=20\left(\frac{1}{4}\right)^x$$

Answer

$$\left(\frac{80}{4}\right)^x$$

Answer

$$5\left(\frac{1}{4}\right)^x$$

Question 14

Which equation best represents this function?

Accepted Answer

$$f\left(x\right)=4\cdot5^x$$

Answer

$$f\left(x\right)=4+16^x$$

Answer

$$f\left(x\right)=5\cdot4^x$$

Answer

$$f\left(x\right)=4\left(\frac{1}{5}\right)^x$$

Question 15

Select the function that represents the graph:

Accepted Answer

$$f\left(x\right)=10\left(\frac{1}{2}\right)^x$$

Answer

$$f\left(x\right)=2x^{10}$$

Answer

$$f\left(x\right)=x^{-2}$$

Answer

$$f\left(x\right)=10\cdot2^x$$

Question 16

Select the function that represents the graph:

Accepted Answer

$$f\left(x\right)=4^x$$

Answer

$$f\left(x\right)=x^2$$

Answer

$$f\left(x\right)=2x$$

Answer

$$f\left(x\right)=3^x$$

Question 17

If you deposit $4,587 in an account that earns 2.3% simple interest, how much money will you have after 9 years?

Accepted Answer

$5,536.51

Answer

$99,537.90

Answer

$14,082.09

Answer

$5,628.72

Question 18

If you deposit $8,234 in an account that earns 1.2% compound interest, how much money will you have after 15 years?

Accepted Answer

$9,847.33

Answer

$9,716.12

Answer

$156,446

Answer

$126,861.42

Question 19

The average attendance at an annual concert is 13,000 people. Each year, the attendance has decreased at a rate of 0.8% a year. What will the average attendance be in 6 years?

Accepted Answer

12,389

Answer

13,063

Answer

12,938

Answer

13,624

Question 20

What is the function for this table?

Accepted Answer

$$f\left(n\right)=-9n+8$$

Answer

$$f\left(n\right)=-1\cdot10^n$$

Answer

$$f\left(n\right)=-9n-1$$

Answer

$$f\left(n\right)=n-9$$

Question 21

What is the function for this table?

Accepted Answer

$$g\left(n\right)=-12n-88$$

Answer

$$g\left(n\right)=-88\left(\frac{25}{22}\right)^n$$

Answer

$$g\left(n\right)=12n-100$$

Answer

$$f\left(n\right)=n-12$$

Question 22

What is figure 25?

Accepted Answer

$$-388$$

Answer

$$-2149.88$$

Answer

$$200$$

Answer

$$-12$$

Question 23

What is the figure 36?

Accepted Answer

$$-316$$

Answer

$$332$$

Answer

$$-325$$

Answer

$$-9$$

Question 24

What is the function for this table?

Accepted Answer

$$a\left(x\right)=1\cdot5^x$$

Answer

$$a\left(x\right)=5\cdot5^x$$

Answer

$$a\left(x\right)=20x-20$$

Answer

$$a\left(x\right)=x+20$$

Question 25

What is figure 10?

Accepted Answer

$$9,765,625$$

Answer

$$48,828,125$$

Answer

$$180$$

Answer

$$20$$

Question 26

What is the function for this table?

Accepted Answer

$$f\left(x\right)=1088\left(\frac{1}{4}\right)^x$$

Answer

$$f\left(x\right)=272\cdot4^x$$

Answer

$$f\left(x\right)=1088\cdot4^x$$

Answer

$$f\left(x\right)=\frac{x}{4}$$

Question 27

What is figure 9? (round to three decimal places)

Accepted Answer

$$.004$$

Answer

$$71,303,168$$

Answer

$$285,212,672$$

Answer

$$0.25$$

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