chapter 6 review jeopardy

6.1

100

evaluate this expression

6.7⁰

1

200

evaluate this expression

(-2)^-4

1/16

300

simplify

3²x3⁶

3⁸

400

evaluate

(-1.5y)²

2.25y²

500

Evaluate

(2x/3)^-5

243/32x⁵

6.2

100

What is the definition of an "exponent"

a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression

200

simplify this equation, write your answer using only positive exponents.

7^5/2x7^3/2=7^5/2+3/2

7⁴

300

6^2/3/6^4/3=6^2/3-4/3

1/6^2/3

400

27^4/3=(27^1/3)⁴

81

500

16^3/4=(16^1/4)³

8

6.3

100

Evaluate 

y= -2(5)^x: x=3

 -250

200

Evaluate

F(x) =3(0.5)^x: x=-2

12

300

What exponential function?

 A nonlinear function of the form y=ab^x, where a= , b= and b>0

400

y=2(9)^x

2/81

500

128% as a decimal

1.28

6.4

100

Use properties of exponents to rewrite the function in the form of y = a(1+r)^t

y = 100(0.96)^t/4

100(0.99)^t

200

Use properties of exponents to rewrite the function in the form of y = a(1+r)^t

f(t) = (1.1)^t-3

0.75(1.1)^t

300

exponential growth or decay

y=(0.9)^t-4

decay

400

exponential growth or decay

y=(1.4)^t+8

growth

500

The initial amount is 150,000, and the rate of growth is 8%, or 0.08. So, the situation can be represented by an exponential growth function.

The festival attendance can be represented by y = 150,000(1.08)^t

6.5

100

evaluate 

y=6(2)^x when x= -3,0 and 2 

(-3,0.75),   (0,6) ,    (2,24)

200

simplify the expression 

(g²/2)^-3

8/g⁶

300

write an equation in slope intercept form of the line that passes through the given points.

(1,7), (3,-3)

y=-5x+12

400

write an equation in slope intercept form of the line that passes through the given points.

(0,-10), (8,-4)

y=3/4x-10

500

you are stopped in a line of traffic that is about 1.5 miles long, how long is the line in inches? 

95040 inches