Algebra 1 Semester 1 Final Exam Review _________

For questions 1-3, use the given information below.

Two classes took the same quiz. Dot plots representing each class’s quiz scores are shown below. The quiz has a maximum possible score of 14.

1. Which class tended to score higher?

2. Without performing any calculations, which class tended to have the most variability in the students’ scores?

3. Which data set has the larger standard deviation?

4. Would you describe the histogram graph below as symmetrical or skewed?

For questions 5-6, use the dot plot below to answer the following questions.

Approximate flight times

Time in Minutes

5. How long would you say a typical flight delay for the 50 BigAir flights approximately was?

6. Which central measure of tendency would you use to describe a typical flight delay for the 50 BigAir flights?

7. 28 students in Mrs. Sanchez’s took a quiz in her 1st period math class. The lower 50% of her class got between what two scores? (using the box plot below)

For questions 8-9, use the given information below.

Use the histograms of the IQ for 78 seventh grade students to answer the questions below.

8. Approximately how many of the females have an IQ between 115 and 120?

9. What 5-point interval of IQ represents in the male histogram above has the most people?

10. Following are the miles per gallon of a sample of five cars. Find the mean, median, mode, and range.

20.9 20.7 20.7 22.4 18.9

For questions 11-13, use the given information below.

Each person in a random sample of ten ninth graders was asked one question: “How many hours did you spend watching TV last night?” Here is the data for these ten students:

Student Hours of TV

1 2

2 1

3 0

4 1

5 4

6 3

7 2

8 3

9 5

10 2

11. What is the mean and median of the data?

12. What is the mode and range of the data?

13. What is the deviation from the mean for watching 3 hours of TV

For questions 14-15, use the given information below.

The box plot below represents the number of shows students watch on tv.

14. What are the minimum number and median number of shows a student watches on television?

15. What is the interquartile range (IQR) and what percent of students fall within the IQR?

For questions 16-17, use the given information below.

The box plots below display the distributions of slow, medium and fast runner in the United States.

16. Which type of runner (slow, medium, fast) has a higher percentage of runners that run farther than 60 meters?

17. What is the outlier(s) for the slow runners?

For questions 18-20, use the given information below.

The two-way frequency table below represents the transportation methods for a group of 9th grade students on how they get to school.

Walk Car Bus Bike Total

Males 35 115

Females 44 18 22 102

Total 53 30 61

18. What does the cell with the number 30 represent?

19. How many females take a car to school?

20. What is the relative frequency of females who walk to school?

21. Determine the equation of the line that goes through the two points: (-1,4) and (-2,6)

22. If a scatter plot has a correlation coefficient of -0.9, how would you describe the relationship of the variables in the scatter plot?

For questions 23-24, use the given information below.

The table below displays the value of a car (in dollars) for every year after the car has been bought from the dealership.

Age of car (x)

1 2 3 4 5 6 7 8

Value of car (y)

$13,975 $10,285 $7,000 $6,790 $2,150 $5,448 $2,755 $3,400

23. Using the data above, determine the equation of the line of best fit using your calculator. (round all decimals to nearest whole number)

24. Find the correlation coefficient of the data above. (round decimal to nearest hundredth)

For questions 25-27, use the given information below.

The line of best fit for the data in the chart below is y =14.7x + 154.6

25. What is the predicted value for a cheeseburger?

26. What is the residual value for the Big Mac?

27. If a sandwich had 485 calories, how many grams of fat would you predict it to have?

Use the graph below for questions 28-33.

28. Which of these graph(s) have a linear relationship? 29. Which of these graph(s) shows a exponential relationship?

30. In scatter plot A is it a positive or negative relationship?

31. Which graph will have a correlation coefficient closest to one?

Sandwich Total Fat (x) Calories (y)

Hamburger 7 270

Cheeseburger 15 350

Quarter Pounder 22 490

Big Mac 30 600

Fish Filet 26 530

Use the story below to answer questions 33-35.

Daniel works on a street that runs east and west. At work he gets a one hour lunch break so he decided to go to the bank and grab some food at Subway. Subway and the bank are to the right of his work. Both are on the same street as his work. At 1:00 p.m., Daniel hops in his car and drives 6 minutes to the bank that is 2.5 miles away from his work. After 10 minutes at the bank, he heads to Subway which is 5.5 miles from the bank. He arrives at Subway at 1:35 a.m. and then spends 12 minutes eating.

33. Draw a graph that shows the distance Daniel car is from his work with respect to time. Label the important points (home, post office, grocery store) on the graph.

34. What time did Daniel leave the bank to head to Subway?

35. If he drives directly back to work after Subway, what was the total distance that he traveled during his lunch break?

36. Using the fact that x = 6, y = 4, and z = -3, determine whether the equation is TRUE or FALSE. 30)( −=+− xyz

37. Solve the equation )182(8)1(2 +=+ xx

38. Solve the equation for m: 3(2m+ 1) -5 = 3m -2 + 3m

39. When does an equation have no solution?

40. When does an equation have infinite solutions?

41. Solve the equation and list the restrictions

412=

−+

xx

42. Write an equation when x ≠ 2

43. Graph: 1−≥x

44. Graph the solution on a number line. 3−≤x or 2≥x

45. . Solve and Graph: 46117 +<− xx

46. . Solve and Graph: 9231 ≤+≤− x

47. Write each as an inequality:

A) The test scores ranged from 58% to 101% B) Sam has at least $25 in his wallet. C) Joe has no more than $30 in his wallet. D)

48. Rewrite the equation in slope-intercept form. x = 7y +35 48. Graph 49. Graph

y = 32

x– 4 y – 3 = -2(x + 1)

For 50-53, Solve the system algebraically.

50. y = -3x–1 51. 8x – 5y = 11

4x + 3y = 2 4x – 3y = 5

52. -5x + y = -3 53. y = 5x – 7

3x – 8y = 24 -3x -2y = 11

54. What is the solution to the system of equations graphed below?

Given the word problem, write the equation for the situation and then solve. (#55 and 56)

55. Shawn bought 6 bags of chips and a Gatorade that cost $4. He spent a total of $18. Set up the equation and determine how much each bag of chips cost?

56. Sarah was babysitting. She was given $60. $12 was for pizza, and the rest covered her 6 hours of babysitting. Set up the equation, then determine what her hourly babysitting rate is.