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Alg1 U1-4 Fall Final

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Algebra 1 - Fall Final Exam
Drawings may not be to scale. Show your work on scratch paper and turn in when complete.
Question 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?

Use the box plot below for Questions 2-4.
Question 2
2.

What is the approximate range of this data?

Question 3
3.

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

Question 4
4.

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?

Use the frequency table below for Questions 5 and 6.
Question 5
5.

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

Question 6
6.

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

Question 7
7.

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

Consider the plot below of three point shots made in the league JV games.
Question 8
8.

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

Use the box plot below
Question 9
9.

Which of the following is true?

Question 10
10.

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

Use the box plots below to answer Question 11
Question 11
11.

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?

Question 12
12.

The correlation coefficient is best described as

Question 13
13.

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

Question 14
14.

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?

Use the graph below to answer Questions 15 – 19.
Question 15
15.

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

Question 16
16.

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

Question 17
17.

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

Question 18
18.

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

Question 19
19.

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

Below is the residual plot for Adult Literacy Rates.
Question 20
20.

What does the selected data point represent?

Use the graphs below to answer Question 21
Question 21
21.

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

Question 22
22.

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

Question 23
23.

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

Question 24
24.

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

Question 25
25.

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

Question 26
26.

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

Question 27
27.

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

Question 28
28.

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

Question 29
29.

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

Question 30
30.

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

Question 31
31.

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

Question 32
32.

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?

Question 33
33.

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

Question 34
34.

Which interval matches the graph above?

Use the graphs below to answer Question 35
Question 35
35.

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

Question 36
36.

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

Question 37
37.

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

Question 38
38.

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

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

Solve the absolute value inequality.

Question 40
40.

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

Question 41
41.

Identify the correct first step to take when solving the system of equations below using the elimination method.
4x-4y=-16
x-2y=-12

Question 42
42.

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?

Question 43
43.

Solve the system of equations:
4x – 6y = 6
–2x + 3y = –3

Question 44
44.

What is the solution to the following system of equations?
3x - y = 17
-2x + y =-14

Question 45
45.

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

Question 46
46.

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

Consider the system of equations.
Question 47
47.

Which statement is true about the system of equations above?

Use the graph below to answer Question 48.
Question 48
48.

Select the system of inequality that represents the graph.

Use the graph below to determine the solution to the system of equations.
Question 49
49.

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

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

Solution to the system of equations above.

Question 51
51.

Solution to the system of equations above.

Question 52
52.

Which system correctly models the situation below?

Question 53
53.

Which system correctly describes the graph below?

Question 54
54.

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

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.)
Question 55
55.

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?

Question 56
56.

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

Algebra Fall Final, Version A, Hart School District