Algebra Final Review

Exponential Function

100

The function 4300(0.24)^x  shows a growth or decay factor

Decay 

200

Miles received an allowance at the beginning of the month. Each week, he spent half of the money he had left. The function

M(w)= 130(1/2)^w defines the situation. 

How much money did Miles have left before spending anything?

$130

300

Miles received an allowance at the beginning of the month. Each week, he spent half of the money he had left. The function

M(w)= 130(1/2)^w defines the situation. 

How much money does he have after 2 weeks?

$32.50

400

In an equation y= 3 (2/3)^x

What does 2/3 represent

Give an example 

2/3 is a decay factor

meaning that with each time unit, anything will reduce the amount by a factor of 2/3 

500

What is Mr. Feliz and Ms. Car Favorite colors?

Mr. Feliz- Green 

Ms. Car Purple 

Evaluate Function

100

Function g is represented by 

g(x)=3(x-5)+2x-2

What is g(-5)?

-42 

200

Function g is represented by 

g(x)=3(x-5)+2x-2

What is g(-1)?

-22

300

Function g is represented by 

g(x)=3(x-5)+2x-2

Find the value of x such that g(x)=3

x=4

400

Function g is represented by

 g(x)=3(x-5)+2x-2

Find the value of x such that g(x)=23

x=8

500

Function T(r)= 430 (1/2)^r

^{Find T(-3)}

T(-3)=3440

Surprise me

100

Function A gives the cost for x items. 

 Function A(x) =  {  3  , 0 < x ≤ 2

                             6 ,   2< x ≤  5 

                             12 ,   5< x < 10 }

What is the cost for 4 items?

$6

200

Function A gives the cost for x items. 

 Function A(x) =  {  3  , 0 < x ≤ 2

                             6 ,   2< x ≤  5 

                             12 ,   5< x  ≤ 10 }

What is the cost for 7 items?

$12

300

The maximum height of an object is the _____ value of the Vertex.

y value 

400

The maximum time of an object is the _____ value of the Vertex.

x value

500

The _____ of a quadratic equation is when an object hits the ground. 

x-intercepts, Zeros or solutions. 

Miscellaneous

100

Rewrite  12²⋅12⁵ 

12⁷   or  35, 831,808

200

Which expression is equavalent to 12⁸ 

A) 12⁴⋅ 12²

^or 

B)(12²)⁴

B)(12²)⁴

300

Which expression is equavalent to 12⁸ 

A) 12⁴/12^-4

^or 

B)12⁶/12²

A) 12⁴/12^-4

400

What are the solutions to the quadratic equations 

3x²+6x-24

x=2 and x = -4

500

The equation f(t)=16t²+20t+80 represent the height, in inches of the golf ball t seconds after it was launched.

At what height was the golf ball launched from?

80 inches

Equations

100

Two friends, Jay and Bart, are saving money

Jay has $100 saved and saves $50 every week. 

Bart starts with $25 and triples his money every week. 

Write an equation to represent Jay's savings.

y=100+50x

200

Two friends, Jay and Bart, are saving money

Jay has $100 saved and saves $50 every week. 

Bart starts with $25 and triples his money every week. 

Write an equation to represent Bart's savings.

y=25(3)^x

300

Two friends, Jay and Bart, are saving money

Jay has $100 saved and saves $50 every week. 

Bart starts with $25 and triples his money every week. 

How long will it take for Jay to save $300 or more?

4 weeks 

400

Two friends, Jay and Bart, are saving money

Jay has $100 saved and saves $50 every week. 

Bart starts with $25 and triples his money every week. 

How long will it take for Bart to save $300 or more?

3 weeks 

500

Which expression could be equivalent to 

x²+b-16, where b is negative

A) (x-8)(x+2)

or 

B (x+8)(x-2)

A) (x-8)(x+2)