Final Review

Linear Function

100

What is the slope? 

y = 3/4x + 1

Slope is 3/4

200

What is the slope?

(0, 0) and (2, 8)

What is 4?

300

Solve for y
3x + 8y = 24

y= -3/8x +3

400

What is the y-intercept?

y +3= 2(x – 6)

-15

500

What is the value of y in the function  
y = 1/2 x + 10  when x = 24?

22

Solving

100

Solve for y

3y = -15

-5

200

-4x + 1 =21

x= -5

300

Solve for x:

7(2x - 4) = 42

x = 5

400

Solve for b:
-11 + 3(b + 5) = 7

b = 1

500

Solve for x:

2x -(3+4x) = 11

x = -7

Simplifying

100

Simplify Radical:

√28

2√7

200

Simplify
3√6 - 4√6

-√6

300

Simplify:
7x² - 3a +20 - 4x² + 2a

3x² - a + 20

400

(-2x³y⁵z⁴)²

4x⁶y¹⁰z⁸

500

−2x(−x² +x³)+ 4x⁴  

2x³+2x⁴ 

Quadratic Function

100

What is the vertex?

y = -x² + 6x -9

(3,0)

200

What are the roots?

(x – 9)(x + 1) = 0

x=9 and x= -1

300

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)=x²?

Right 3 and up 5

400

Multiply the binomials

(x – 2)(x + 6)

x² +4x -12

500

Describe the transformation:

 f(x)=-2(x+3)²−2   

-Reflect over the x-axis

-Vertical stretch 

-Shift left 3

-Shift down 2

Exponential Function

100

What is the y-intercept of y=3(0.2)^x

3

200

Is the following function and example of decay or growth?

f(x)=2(0.85)^x

Exponential Decay

300

Does the following equation show growth or decay?
y=10,000*1.26^x

Growth

400

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

f(x)=400(1+0.03)^x

500

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?

$361,223