Function Relationships
Linear Functions
Linear Equations & Inequalities
Exponential Functions
Polynomial Expressions
100

What are all of the x-intercepts of the continuous function in the table? HINT: THERE ARE TWO!!

(–4, 0), (4, 0)

100

The graph represents the cost of a subscription to a newspaper. What is the constant of variation for the subscription cost based on the number of weeks? 

30/4 or $7.50

100

What is the y-intercept of the function f(x)=4 – 5x?

4

100

Felix’s Feed Mill sells chicken feed for $8.00 per bag. This price is no longer high enough to create a profit. Felix decides to raise the price. He is considering four different plans. Which plan will result in the price of the feed reaching $12.00 fastest?

Plan A: Raise the price by $0.10 each week until the price reaches $12.00.

Plan B: Raise the price by 10 percent each week until the price reaches $12.00.

Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12.00.

Plan D:  Raise the price by $0.25 each week until the price reaches $12.00.

Plan B

100

What is the greatest common factor (GCF) of 8x and 40y?

8

200

The graph of the function f(x) is shown below. What is x when f(x)=0? 

-1.8

200

Simplify the expression shown.

3x + 2 – 3x + 7 +5x

What is the coefficient in the simplified expression? 

5

200

Which equation in slope-intercept form represents the line that passes through (–6, 7) and (–3, 6)?

y = –1/3x + 5

200

The curve through the ordered pairs (0, 10), (1, 5), and (2, 2.5) can be represented by the function f(x) = 10(0.5)x. What is the multiplicative rate of change of the function?

0.5

200

What is the sum of the polynomials?

(7x3 – 4x2) + (2x3 – 4x2)

9x3 – 8x2

300

If f(x) = 2x2 + 1, what is f(x) when x = 3?

19

300

Write the linear equation in slope-intercept form that represents the graphed function.

y = 3/2x - 3

300

Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________ 

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

x < 3

300

Which type of function does this table represent?

A. Linear Growth

B. Exponential Growth

C. Linear Decay

D.  Exponential Decay

B. Exponential Growth

300

What is the difference of the polynomials? 

(5x3 + 4x2) – (6x2 – 2x – 9)

5x3 – 2x2 + 2x + 9

400

What is the value of s in the equation 3r = 10 + 5s, when r = 10?

4

400

WA ramp with a constant incline is made to connect a driveway to a front door. At a point 4 feet from the driveway, the height of the ramp is 12 inches. At a point 6 feet from the driveway, the height of the ramp is 18 inches. What is the rate of change of the ramp’s incline? 

3 inches up per foot across

400


What is the solution to the system of equations? 

(0, –5)

400

Which equation represents an exponential function with an initial value of 500?

A.  f(x) = 100(5)x

B.  f(x) = 100(x)5

C.  f(x) = 500(2)x

D.  f(x) = 500(x)2

C.  f(x) = 500(2)x

400

What is the product?

3a(8a - 6b)

24a2 - 18ab

500

The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. The amount collected can be modeled by the equation 5x + 10y = 800, where x represents the number of small vehicles and y represents the number of larger vehicles.  If the number of larger vehicles washed was 50, how many small vehicles were washed in total?

60

500

The table shows the profit from a school book fair based on the number of books sold. What is the rate of change for the function represented in the table? 

$1.50 per book

500

What is the solution to this system of linear equations?

x + y = 4

x − y = 6

(5, -1)

500

The table represents an exponential function. What is the multiplicative rate of change of the function? 

3/4

500

What is the fully factored form of 32a3 + 12a2?

4a2(8a + 3)