Alg1 U1-4 Fall Final

by Gina Spencer

| 56 QuestionsAlgebra 1 - Fall Final Exam

Drawings may not be to scale. Show your work on scratch paper and turn in when complete.

1

1

A gaming association surveyed computer and video game players. The histogram above shows the ages of 4000 gamers. About how many gamers in the survey are less than 50 years old?

Around 3000

Between 1000 and 1050

Around 2200

Between 3500 and 4000

Use the box plot below for Questions 2-4.

2

1

What is the approximate range of this data?

390

325

225

165

55

3

1

There are 41 candy “bars” represented in this box plot. About how many have 204 calories or less?

3

10

20

30

4

1

A package of Skittles has 231 calories and is represented by one of the five points that make up the box plot, excluding the outliers. Which of those five points represents Skittles?

Lower extreme (minimum)

Upper extreme (maximum)

1st quartile

3rd quartile

Median

Use the frequency table below for Questions 5 and 6.

5

1

What are the amouts that belong in spaces F, P and T?

F = 7, P = 8, T = 21

F = 6, P = 7, T = 19

F = 7, P = 6, T = 23

F = 9, P = 7, T = 26

6

1

What is the probability of having Bachelor’s degree, given that they prefer Romance?

3/29

3/11

11/29

29/100

7

1

One of the advantages of graphically displaying data with a dot plot is:

It is easy to graph large amounts of data.

It is easy to see the five number summary.

It is easy to see every piece of data.

All of the above.

Consider the plot below of three point shots made in the league JV games.

8

1

What can you say about the data shown in the dot plot shown to the left.

The mean and median are approximately the same

The mean is clearly greater than the median

The mean is clearly less than the median

None of the above

Use the box plot below

9

1

Which of the following is true?

50% of the data falls between 22 and 37

50% of the data falls between 65 and 73

50% of the data falls between 22 and 73

25% of the data falls between 73 and 87

75% of the data falls between 22 and 87

10

1

The statistics below provide a summary of the distribution of heights, in inches, for a simple random sample of 200 young children.

Mean: 46 inches

Median: 45 inches

Standard Deviation: 3 inches

First Quartile: 43 inches

Third Quartile: 48 inches

About 100 children in the sample have heights that are

less than 43 inches

less than 48 inches

between 43 and 48 inches

between 40 and 52 inches

Use the box plots below to answer Question 11

11

1

A botanist is studying the petal lengths, measured in millimeters, of two species of lilies. The box plots above illustrate the distribution of petal lengths from two samples of equal size, one from species A and the other from species B. Based on these box plots, which of the following is a correct conclusion about the data collected in this study?

The interquartile ranges are the same for both samples.

The range for species B is greater than the range for species A.

There are more petal lengths that are less than 30 mm for species B than there are for species A.

12

1

The correlation coefficient is best described as

A line of best fit for a scatterplot

A number between -1 and 1 that describes how related two sets of data are

The number in front of a variable

One event causing another event

13

1

Which is true about the data shown in the scatter plot above?

Weak positive correlation.

Strong positive correlation.

Weak negative correlation.

Strong negative correlation.

14

1

A local environmental company collected data relating the number of rainy days (x) and the total rainfall (y) in inches. The company found the equation of the least squares regression line to be y=0.911x+1.34. What is the correct interpretation of the slope?

A slope of 1.34 means that a 1.34 inch increase in total rainfall is predicted for every 1 additional rain day.

A slope of 0.911 means that a 0.911 (day) increase in number of rain days is predicted for every 1 additional inch of total rainfall.

A slope of 1.34 means that a 1.34 (day) increase in number of rain days is predicted for every 1 additional inch of total rainfall.

A slope of 0.911 means that a 0.911 inch increase in total rainfall is predicted for every 1 additional rain day.

Use the graph below to answer Questions 15 – 19.

15

1

True/False: Generally in countries where male literacy is high, female literacy is low.

True

False

16

1

If a country has a male literacy of 30%, what is the predicted female literacy?

14%

51%

55%

60%

17

1

If a country has a female literacy of 80%, what is the predicted male literacy?

69%

78%

80%

87%

18

1

The standard deviation for male literacy rates is 25.4336 and 17.4664 for females. This means which of the following?

25.4326% of males are literate while only 17.4664% of females are literate.

The difference between the country with the lowest literacy rate and the country with the highest literacy rate is 25.4326 for males and 17.4664 for females.

The spread of male literacy is greater than female literacy.

The difference in the standard deviation tells us that 7.9662% more males are literate.

19

1

If all 99 countries represented in this data increased their male literacy rate by 2%, the standard deviation would

Not change

Go up by 2%

Go down by 2%

Below is the residual plot for Adult Literacy Rates.

20

1

What does the selected data point represent?

The male literacy rate is 90% while the female literacy rate is only 20.03%.

When the female literacy rate is -20.03%, the male literacy rate is 90%.

90% of the males have an expected literacy rate of 90 – 20.03 or 69.97%.

For a country with its male literacy rate at 90%, its female literacy rate is 20.03% lower than predicted.

Use the graphs below to answer Question 21

21

1

Given the residual plots below, which one demonstrates that its original linear model is a good fit?

a

b

c

22

1

Simplify the expression (2x^2 + 3x) - (x - 4)

2x^2 - 4x - 4

2x^2 + 10x + 4

2x^2 - 4x + 4

2x^2 - 4

-2x^2 + 4

23

1

Combine like terms to simplify the expression 3 x^2 - 4x - x^2 + 6x + 3 x^2

2x

2 x^6

10 x^6

8 x^5+ 2x

4 x^3 - 4x^2 + 2x

24

1

Solve the equation 7x + 5 = 54 for x.

-42

59/7

-7

7

25

1

Solve for x in the equation 3(x-2) +4x = 2(x+1) +12.

x = 16

x = 12

x = 4

x = 3

x = -3

26

1

Solve for x in the equation (x-1)/3 = (x+2)/5

x = 3/2

x = 11/8

x = 7/2

x = 11/2

27

1

Solve the equation for a. ax + b = c + d

a = c + d/x - b

a = c + d - b/x

a = c + d - b/x

a = c + d + b/x

28

1

Which of the following is an example of the distributive property?

a + c = c + a

a(b+c) = ab + ac

a + (b + c) = (a + b) + c

a = a

29

1

Which of the equations below fits the restrictions x≠-2 and x≠5?

3/x+5=2/x+2

x-5/3=x+2/2

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

2/x+2=3/x-5

30

1

Solve for x in the inequality. 6x + 15 > 0

x < 5/2

x > 5/2

x < -5/2

x > -5/2

31

1

Solve for x in the inequality. -2x - 8 < -8

x> 0

x < 0

x > -4

x ≥ 8

32

1

You must be at least 64 and no more than 77 inches tall when standing and at least 34 and no more than 40 inches tall when sitting to be a pilot. Which inequality describes these height requirements where h represents the height?

Standing: 64 < h < 77 Sitting: 34 < h < 40

Standing: 64 ≤ h ≤ 77 Sitting: 34 ≤ h ≤ 40

Standing: 64 ≤ h ≤ 77 Sitting: 34 < h < 40

Standing: 64 < h < 77 Sitting: 34 ≤ h ≤ 40

33

1

Given -2<4x+2<14 , which of these is NOT a solution to the inequality?

2

0

3/2

4

34

1

Which interval matches the graph above?

(-∞,-1]

(-∞,-1)

[-1,∞)

(-1,∞)

Use the graphs below to answer Question 35

35

1

Select the appropriate graph for the inequality. 3x – 5 ≥ x + 9

A

B

C

D

36

1

Solve the following compound inequality. 2x-7 < x-10 or -8x+1 ≤ -55

x < -3 or x ≥ 7

x < 3 or x ≥ -7

x < -3 or x ≥ -7

x < 3 or x ≥ 7

37

1

Solve for x in the equation 2|x+3|=8

x=1,-7

x=-9,3

x=1

No Solution

38

1

Solve the absolute value inequality: |x-2|<-1

3 < x< 1

1 < x < 3

x<1 or x>3

No Solution

All real numbers

For 39 and 40, use the followig absolute value inequality -9|m-8|+10≤ -26

39

1

Solve the absolute value inequality.

4≤m≤12

m≤-12 or m≥4

-4≤m≤12

m≤4 or m≥12

40

1

Select the appropriate interval notation for the solution to this absolute value inequality.

[-4,12]

(-∞,4] or [12,∞)

[4,12]

(-∞,-12] or [4,∞)

41

1

Identify the correct first step to take when solving the system of equations below using the elimination method.

4x-4y=-16

x-2y=-12

Add the two equations to eliminate a variable.

Multiply the first equation by 2.

Multiply the second equation by 2.

Multiply the second equation by – 4.

42

1

Look at this system of equations:

3x+10y=9

2x-5y=-2

Which equation could represent a step in finding the value of x for the system by elimination?

-x=5

-x=13

7x=5

7x=13

43

1

Solve the system of equations:

4x – 6y = 6

–2x + 3y = –3

(0, -1)

(0,0)

No Solution

Infinitely many solutions

44

1

What is the solution to the following system of equations?

3x - y = 17

-2x + y =-14

(-8, -3)

(-5,3)

(3,-8)

(3.8)

45

1

Write the equation 2x+3y=9 in slope-intercept form.

y=-2x+3

y=-2x+9

y=-2/3 x+3

y=-2/3 x+9

46

1

Which description below would fit the graph of y=2x + 1 ?

A solid line shaded below the line.

A solid line shaded above the line.

A dashed line shaded below the line.

A dashed line shaded above the line.

Consider the system of equations.

47

1

Which statement is true about the system of equations above?

The graph of the system consists of lines that have no points of intersection.

The graph of the system consists of lines that have exactly one point of intersection.

The graph of the system consists of lines that have more than one point of intersection.

Use the graph below to answer Question 48.

48

1

Select the system of inequality that represents the graph.

x≤3 and y <1/2 x+1

x≥3 and y <1/2 x+1

x≤3 and y >1/2 x+1

x≥3 and y > 1/2 x+1

Use the graph below to determine the solution to the system of equations.

49

1

Which point on the grid below is the solution to the following system of equations?

A

B

C

D

For Questions 50 and 51, determine the solution to each system of equations using the graphs provided.

50

1

Solution to the system of equations above.

No Solution

(3,2)

(2,3)

(1,-2)

51

1

Solution to the system of equations above.

No Solution

(0,0)

(0,-3)

(0,3)

52

1

Which system correctly models the situation below?

A

B

C

D

53

1

Which system correctly describes the graph below?

A

B

C

D

54

1

Which graph best describes the solution to this system of inequalities?

A

B

C

D

For Questions 55 and 56 use the following situation.

You are shopping for school supplies. You have 6 classes this semester and want to have at least one separate 3-ring binder or spiral notebook for each class. Binders cost $4 each and spiral notebooks cost $2 each. However, your mom only gave you $20. You are trying to figure out how many of each type you are able to get. (You do not have to worry about sales tax in this situation.)

55

1

Which of the following systems can be used to represent the above situation where x represents the number of spiral notebooks and y represents the number of 3-ring binders?

x + y ≤ 6 and 2x + 4y ≤ 20

x + y ≤ 6 and 2x + 4y ≥ 20

x + y ≥ 6 and 2x + 4y ≥ 20

x + y ≥ 6 and 2x + 4y ≤ 20

56

1

Which of the graphs above represent the set of possible solutions?

A

B

C

D

Algebra Fall Final, Version A, Hart School District

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