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Test 1 Review

Total questions: 50

Worksheet time: 2hrs 36mins

Name
Class
Date
1.

How many tiles would be in Figure 0?

a)

0

b)

1

c)

2

d)

10

2.

Select Figure 0 below.

a)
b)
c)
d)
3.

How many tiles would be in Figure 4?

a)

0

b)

12

c)

8

d)

10

4.

Select Figure 4 below.

a)
b)
c)
d)
5.

Use your answers to the previous questions to write an equation for the tile pattern.

a)

y=2xy=2x

b)

y=2y=2

c)

y=2x+4y=2x+4

d)

y=2x+2y=2x+2

6.

Write an equation for this situation.

D = number of days (input)

C = total cost (output)

a)

D = 19.25C

b)

D = 19C

c)

C = 19.25D

d)

C = 19D

7.
Sandra has a $20 itunes gift card and spends $3 each month.  Which equation can be used to find how much money Sandra has on her giftcard after x months?
a)
y = 3x + 20
b)
y = 3 + 20x
c)
y = -3x + 20
d)
y = -20x + 3
8.
Find the rate of change
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
9.

Formulate the linear equation for the table given.

a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
10.
Find the rate of change.
a)
-2 minutes per gallon
b)
-20 minutes per gallon
c)
-2 gallons per minute
d)
-20 gallons per minute
11.
A dog walker earns $10 plus $3 per dog. What equation represents this model? 
a)
y=3x + 10
b)
y=10x + 3
c)
y=13x
d)
y=10x - 3
12.
Which equation matches the table?
a)
y = 3x + 9
b)
y = x + 9 
c)
y = x + 3
d)
y = 12x - 3
13.
Bowling costs $4 for shoe rental plus $5 for every game. Which equation shows how much it costs to go bowling for x games?
a)

y = 5x + 4

b)

y = 4x + 5

c)
y = 4•5•x
d)
y = 5x - 4
14.
A yoga class in a fitness center charges a $200 registration fee plus $12 per lesson.  Write an equation to determine the amount of money a person will spend (y) for any number of lessons (x).
a)
y = 200x + 12
b)
x = 200 + 12y
c)
y = 12x + 200
15.
What is the y-intercept of this graph?
a)
(0,1)
b)
(0,-2)
c)
(0,0)
d)
(0,3)
16.
Find the slope:
(-3, 3) and (7, 6)
a)

0.75

b)

-1.33

c)

0.3

d)

-3.33

17.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
18.

Determine the slope and y-intercept from the following equation:   y = 1.5x + 3

a)
slope: 5   y-intercept:  (0,3) 
b)

slope: 1.5   y-intercept:  (0,3)

c)

slope:  4  y-intercept:  (0,1.5)

d)

slope: 0.2   y-intercept:  (0,5) 

19.
which table  is created from the equation..
y = -5x + 1?  
a)
graph a
b)
graph b
c)
graph c
d)
graph d
20.
Identify the slope of the Equation
y=5x+3
a)
5
b)
3
21.
Identify the y-intercept of the equation
y=2x+5
a)
2
b)
5
22.

What is the slope of the table?

a)

1/2

b)

7

c)

2

d)

1/7

23.

f(x) = x+7 find the output when the input is 1.

a)

5

b)

6

c)

7

d)

8

24.

Given the function f(x)=2x+1, find the output when the input is 4.

a)

8

b)

1.5

c)

0.67

d)

9

25.

Given f(x)=2x+1, find the input that produces an output of 16.

a)

8

b)

7.5

c)

7

d)

-7

26.

Find the output for an input of -2 in this graph.

a)

10

b)

4

c)

-3

d)

2

27.

What input produces an output of 3 on this graph?

a)

-2

b)

-6

c)

-1

d)

-5

28.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

a)

y = 1.5x + 12

b)

y = 12x + 1.5

c)

y = 0.67x - 8

d)

y = -8x + 0.67

29.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 180 pages. 
a)
12 chapters
b)
15 chapters
c)
18 chapters
d)
21 chapters
30.
The chart below tracts starting salaries for health care workers since the year 2000. Using linear regression, find the equation of best fit. Round decimals to 3 places.
a)
y = 839.721x + 27541.812
b)
y = 27541.812x - 839.721
c)
y = 27541.812x + 839.721
d)
y = 839.721x - 27541.812
31.
What is a best-fit line used for?
a)
To make predictions
b)
To make the graph look pretty
c)
To connect the points
d)
To make it look like you know what you are doing
32.

Which correlation coefficient matches the scatterplot?

a)

r = 0.95

b)

r = -0.89

c)

r = -0.39

33.

Which correlation coefficient matches the scatterplot?

a)

r = 0.95

b)

r = -0.89

c)

r = -0.39

34.

Which correlation coefficient matches the scatterplot?

a)

r = 0.95

b)

r = -0.89

c)

r = -0.39

35.
Data was collected on the weight of a male  laboratory rat for the first 25 weeks after its birth. The linear regression equation is 
y= 40x+100, where x is number of weeks and y is weight in grams. 
What does the y-intercept mean in context of the problem?
a)
The predicted weight of the rat in year 0. 
b)
The predicted weight of the rat at birth. 
c)
The current weight of the rat. 
d)
The average increase in the rat's weight. 
36.
The linear regression equation is y = 61.93x - 1.79.  Use the equation to predict how far this person will travel after 10 hours of driving.
a)
10 miles
b)
617.5 miles
c)
0.19 miles
d)
500 miles
37.
The linear regression equation is y = 61.93x - 1.79.  According to the model, the slope can be interpreted as:
a)
After 0 hours of driving, they went 61.93 miles.
b)
They drove at a speed of 61.93 miles per hour.
c)
They drove 61.93 miles total.
d)
They drove 61.93 hours total.
38.

Estimate the correlation coefficient for this scatterplot.

a)

r = 1.2

b)

r = 0.89

c)

r = 0

d)

r = -0.89

39.

The equation y = -2x + 7 models the amount of gas remaining in a lawnmower after x hours of use since it was filled. What is the meaning of the slope?

a)

For each hour of mowing, the mower is predicted to use 2 gallons.

b)

the predicted amount of gas the lawnmower can hold is 2 gallons

c)

For every two hours of mowing, the mower is predicted to use 7 gallons.

d)

The predicted amount of gas remaining after 1 hour is 2 gallons.

40.

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.

y= 10 + 3x

What does the y-intercept of the graph of this equation represent?

a)

The monthly fee

b)

How much Rich pays per visit

c)

The number of times Rich goes to the gym

d)

The total cost at the end of the month

41.

Rita wants to predict the value of her car. She collects data on six other used cars. The data includes how old the car is, how many miles it has, and the price the car sold for.

She finds the linear regression equation for age of the car (input) versus price (output) and gets a correlation coefficient of 0.89.

Then she finds the linear regression equation for mileage on the car (input) versus price (output) and gets a correlation coefficient of 0.43.

Which model should Rita use to predict the price of her car?

a)

age of car vs. price

b)

mileage of car vs. price

c)

both models are equally good

d)

neither model is good; she should not use them to predict the price of the car

42.

Find the line of best fit (linear regression equation) for an input of calories consumed and an output of weight gain. Set GeoGebra to 3 decimals.

a)

y = 0.002x + 0.123

b)

y = 0.002x

c)

y = 561.44x - 44.83

d)

y = 500x

43.

Find the correlation coefficient for the linear regression model.

a)

r = 0.35

b)

r = 0.92

c)

r = 0.99

d)

r = 0.67

44.

Based on the correlation coefficient, what do we know about the linear regression model?

a)

The relationship is negative and strong

b)

The relationship is positive and moderate

c)

The relationship is positive and weak

d)

The relationship is negative and moderate

e)

The relationship is positive and strong

45.

Use the linear regression equation to predict weight gain if 3000 calories are consumed.

a)

6 or 7 depending on how you use GeoGebra

b)

5.371 or 6.123 depending on how you use GeoGebra

c)

4.861 or 5.869 depending on how you use GeoGebra

d)

5.982 or 6.043 depending on how you use GeoGebra

46.

The water level of a tank is changing at a constant rate. The graph shows the relationship between the time in hours and the water level in meters. Which value best represents the rate of change of the water level with respect to time?

a)

13\frac{1}{3} meters per hour

b)

13-\frac{1}{3} meters per hour

c)

33 meters per hour

d)

3-3 meters per hour

47.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
48.
Data was collected on the weight of a male  laboratory rat for the first 25 weeks after its birth. The linear regression equation is 
y= 40x+100, where x is number of weeks and y is weight in grams. 
What does the y-intercept mean in context of the problem?
a)
The predicted weight of the rat in year 0. 
b)
The predicted weight of the rat at birth. 
c)
The current weight of the rat. 
d)
The average increase in the rat's weight. 
49.
A restaurant sells pizza for the prices in the data table.  Calculate the linear regression equation of the data.
a)
y = 1.5x + 12
b)
y = 12x + 1.5
c)
y = 0.67x - 8
d)
y = -8x + 0.67
50.

Data is analyzed comparing hours studied and grades. It is determined that the correlation coefficient is 0.92. What does this mean?

a)

There is a strong positive correlation between studying and grades.

b)

There is a strong negative correlation between studying and grades.

c)

There is a weak positive correlation between studying and grades.

d)

There is a weak negative correlation between studying and grades.