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Unit 4

Total questions: 25

Worksheet time: 1hrs 9mins

Name
Class
Date
1.
Greg sells cars. He makes a base salary of $25,000, plus $1500 per car he sells. The function that models this situation is S = 1500x + 25000. After working at the car dealership for 2 years, he gets a raise. He now makes $1700 per car he sells. What is the new function that models this situation?
a)
S = 1700x + 1500
b)
S = 1500x + 1700
c)
S = 1700x + 25000
d)
S = 25000x + 1700
2.
Find the 22nd term of the following sequence:
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
3.
Bernice sells 135 sea shells by the sea shore every day. She sells each sea shell for 3 dollars.
For how many days does Bernice need to sell sea shells to earn 2430 dollars?
a)
4
b)
6
c)
8
d)
5
4.
Find the next three terms for the arithmetic sequence
12, 7, 2, -3, ...
a)
8, 13, 18
b)
-8, -13, -18
c)
-7, -11, -15
d)
7, 11, 15
5.
Write the recursive rule for the arithmetic sequence
82, 76, 70, 64, ...
a)
a1=82; an = an-1-6
b)
a1=64; an = an-1-6
c)
a1=82; an = an-1+6
d)
a1=64; an = an-1+6
6.
Write the explicit rule for the arithmetic sequence
-10, -3, 4, 11,...
a)
an = 10n + 17
b)
an = 7n - 17
c)
an = -7n + 17
d)
an = 7n + 3
7.
Find the given term for the sequence.
Find the 30th term of 20, 11, 2, -7, -16, ...
a)
29
b)
-261
c)
-241
d)
cannot be determined
8.

What is the equation of the line of best fit?

a)

y = -25x + 170

b)

y = -5/4x + 7

c)

y = 25x + 120

d)

y = -5/8x + 170

9.

Which scatter plot shows a linear relationship between x and y?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

10.

Use the line of best fit to approximate rate of change of the scatter plot.

a)

7/5

b)

5/7

c)

-7/5

d)

-5/7

11.
Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay? 
a)
y = 425x + 600
b)
y = 425 + 600x
c)
y = 400x + 625
d)
y = 400 + 625x
12.

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Which service is cheaper for 8 movies in one month?

a)

Beth's service ($38 vs. $40) is cheaper

b)

Nate’s service ($42 vs. $44) is cheaper

c)

Nate’s service ($38 vs. $40) is cheaper

d)

Beth's service ($42 vs. $44) is cheaper

13.

Who is losing weight faster?

a)

Valerie

b)

Oscar

c)

Mrs. Conte

d)

They are losing the same amount of weight

14.
What is the rate of change (slope) to rent a raft from Ryan's Rafts?
a)
$15 per hour
b)
$2.25 per hour
c)
$17.25 per hour
d)
$1 per hour
15.

Which panda will weigh more at 5 weeks?

a)

Mochi; he is gaining weight faster

b)

Kappa; he is gaining weight faster

c)

Mochi; he is losing weight faster

d)

Kappa; he is losing weight faster

16.

The graph relates temperature, y (in degrees Fahrenheit) to altitude, x (in thousands of feet).


Which statement best describes the y-intercept of the graph?

a)

The temperature drops 3.7 degrees for every 1000 feet the altitude increases.

b)

At sea level, the temperature is 59 degrees Fahrenheit.

c)

The temperature is 0 degrees Fahrenheit at about 15,885 feet.

d)

The average temperature change is 7 degrees Fahrenheit.

17.

Your family is driving from Cincinnati to St. Louis. The graph relates your distance from St. Louis, y, and travel time, x.


Which statement best describes the x-intercept?

a)

After traveling 180 miles you are 1/2 way to St. Louis.

b)

Your family is driving 60 miles per hour.

c)

The distance from Cincinnati to St. Louis is 360 miles.

d)

It takes 6 hours to travel from Cincinnati to St. Louis.

18.
What is the range of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
19.

What is the interval of DECREASE on this graph?

a)

0 < x < 3 and 9 < x < 12

b)

9 < x < 12

c)

0 < x < 8

d)

0 < x < 3

20.

Describe the transformation that occurred

k(x) = f(x) - 9

a)

vertical shrink

b)

Down 9 units

c)

Left 9 units

d)

Right 9 Units

21.
Describe the transformation from dotted to solid.
a)
f(x + 4)
b)
f(x - 4)
c)
f(x) + 4
d)
f(x) - 4
22.

What are the transformations?

y= |x - 2|+4

a)

Horz shift right 2 Vert shift up 4

b)

Horz shift left 2 Vert shift up 4

c)

Horz shift right 2 Vert shift down 4

d)

Horz shift left 2 Vert shift up 4

23.

If the graph of the parent function f(x) = x is shifted 7 units up and 5 units left, what is the function?

a)

f(x) = (x + 5) + 7

b)

f(x) = (x + 7) - 5

c)

f(x) = x + 12

d)

f(x) = 7x - 3

24.

The Jamison family kept a log of the distance they traveled during a trip, as represented by the graph below. During which interval was their average speed the greatest?

a)

the first hour to the second hour

b)

the second hour to the fourth hour

c)

the sixth hour to the eighth hour

d)

the eighth hour to the tenth hour

25.
Select the statement that best describes the line.
a)
The line is the line of best fit.
b)
The line is NOT a line of best fit because it does not pass through two points.
c)
The line is NOT a line of best fit because it does not go through the middle of the data set.
d)
The line is NOT a line of best fit because it does not go through the origin.