chapter 6 review jeopardy

6.1

100

Evaluate this equation

6.7⁰

1

200

 Evaluate this equation 

(-2)^-4

 

1/16

300

 Evaluate this equation 

3²x3⁶

3⁸

400

(-1.5y)²

 Simplify this expression

2.25y²

500

 Evaluate this expression 

(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

Simplify the equation, write your answers in only positive exponents .  6^2/3/6^4/3=6^2/3-4/3

1/6^2/3

400

Simplify this expression but provide your answer only using positive exponents. 

27^4/3=(27^1/3)⁴

81

500

Simplify this expression , provide your answer only using positive exponents. 16^3/4=(16^1/4)³

8

6.3

100

What is the definition of an exponential function ? 

form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

200

What is 128% as a decimal? 

1.28

300

Evaluate this expression 

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

 -250

400

Evaluate this expression

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

12

500

Evaluate the function when x= -2, 0, and 1/2

f(x)=1.5(2)^x

When x=-2 f(-2)=1.5(2)^-2=0.375

When x =0 f(0)=1.5(2)⁰=1.5

When x =1/2 f(1/2)^1/2~2.12

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

1. Calculate the difference 
2. −6)2+3(−6)−11
3. 36−18−11
   7

7

400

An emergency plumber charges $65 as a call out fee plus an additional $75 per hour. He arrives at a house at 9:30 and works to repair a water tank. if the total repair bill is $196.25, at what time was the repair completed? - the time taken in hours will be represented as "x". find out what time the job was completed and also form an equation using this information to find your answer.

the equation: 196.25=65+75xthe jop was completed at 11:15 AM

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