Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Algebra 1 Test 8 REVIEW 1. A bookstore conducted a survey of the reading preferences of its customers. The bar graph shows the results. Explain why the graph may be misleading. Customer Reading Preferences x ft Number of Customers 3000 5.5 ft 2000 10.4 ft 114.4 ft 1000 M ystery Science Romance Other Fiction 11. A bag contains 3 red marbles and 5 blue marbles. Find the probability of drawing a blue marble, keeping it, and drawing another blue marble. Write the probability as a fraction in simplest form. 2. 12. A road sign in Europe shows the distance between two cities as 800 kilometers. If 1 kilometer equals 0.62 mile, what is the distance, in miles, between the two cities? 3. 13. Find the difference Simplify. . Solve. 4. 14. 15. 5. 16. 6. Factor completely. 17. 18. 7. 19. 8. 20. Order the numbers below from least to greatest. 9. The formula expresses Fahrenheit temperature in terms of Celsius temperature. Find the Celsius temperature when the Fahrenheit temperature is 41°. 10. A monument casts a shadow 114.4 feet long. A man who is 5.5 feet tall casts a shadow 10.4 feet long. The triangle drawn with the monument and its shadow is similar to the triangle drawn with the man and his shadow. How tall, in feet, is the monument? 4, 3 4 , –0.6, 10 5 21. Evaluate for and 22. Jason scores 10 points for each question answered correctly on an exam. Write an algebraic expression for the total points he will score if he answers n questions correctly. 23. Determine the domain and the range of the relation {(3, 8), (3, 2), (5, 2), (6, 1), (9, 1)}. 24. In a survey, participants were asked to choose their favorite of 4 cereals. Health Grain Cereal Company made the graph below to display the results of the survey. 30. Write the first 4 terms of an arithmetic sequence where and the common difference . 31. Determine whether the sequence below is an arithmetic sequence. –3, 1, 5, 9, . . . a. Explain why the graph may be misleading. b. What conclusion might be made from the graph? Why might Health Grain have created this graph? c. Make a graph of the survey data that is not misleading. 25. Solve for n: . 26. Identify the domain and range of the function shown in the graph. If yes, find the common difference and the next two terms. 32. At a bakery, bagels are $3 and muffins are $4. Let x be the number of bagels sold. Let y be the number of muffins sold. The equation shows that the bakery made $72 selling bagels and muffins. Find the intercepts and explain what each means. 2 33. Astronomers measure distances within our solar system in astronomical units (AU). One AU is approximately 149,600,600 km and is also known as the distance from Earth to the Sun. Mercury is 5.79 107 km from the Sun. What is this distance in AU? Round your answer to the nearest tenth. O 34. The figures below are similar. Find y 4 –2 y = 2 x – 2 2 4 6 x –2 –4 27. Which is the better buy: 4 lbs of tomatoes for $3.76 or 5 lbs for $4.65? 28. The ratio of men to women in an exercise class is 3 : 4. In all, the class has 14 students. How many men and how many women are in the class? 29. The spinner below is spun twice. Make a tree diagram to show all possible outcomes. What is the probability of spinning a 1 and a 2 in either order? . A 55º 9 5.2 C B D 2.6 4.5 35º F E 35. Find the product answer in scientific notation. . Write the 36. Write 0.0000012 in scientific notation. 37. Find the prime factorization of 44. 38. Find the GCF of . 39. A square tile has a side length of 4x inches. What is the area of the tile? 40. A square photograph has a side length of 7n centimeters. What is the area of the photograph? Algebra 1 Test 8 REVIEW Answer Section 1. ANS: Sample: The large increments of the scale make the data values appear to be closer than they really are. REF: Lesson 27: Identifying Misleading Representations of Data 2. ANS: REF: Lesson 18: Combining Like Terms 3. ANS: –729 REF: Lesson 11: Multiplying and Dividing Real Numbers 4. ANS: REF: Lesson 32: Simplifying and Evaluating Expressions with Integer and Zero Exponents 5. ANS: REF: Lesson 32: Simplifying and Evaluating Expressions with Integer and Zero Exponents 6. ANS: REF: Lesson 38: Simplifying Expressions Using the GCF 7. ANS: REF: Lesson 39: Using the Distributive Property to Simplify Rational Expressions 8. ANS: REF: Lesson 40: Simplifying and Evaluating Expressions Using the Power Rule for Exponents 9. ANS: 5 REF: Lesson 29: Solving Literal Equations 10. ANS: 60.5 REF: Lesson 36: Writing and Solving Proportions 11. ANS: 5/14 REF: Lesson 33: Finding the Probability of Independent and Dependent Events 12. ANS: 496 REF: Lesson 8: Using Unit Analysis to Convert Measures 13. ANS: –1.9 REF: Lesson 6: Subtracting Real Numbers 14. ANS: REF: Lesson 28: Solving Equations with Variables on Both Sides 15. ANS: REF: Lesson 26: Solving Multi-Step Equations 16. ANS: REF: Lesson 24: Solving Decimal Equations 17. ANS: REF: Lesson 26: Solving Multi-Step Equations 18. ANS: 3 n= 8 REF: Lesson 28: Solving Equations with Variables on Both Sides 19. ANS: REF: Lesson 31: Using Rates, Ratios, and Proportions 20. ANS: 3 4 –0.6, , ,4 10 5 REF: Lesson 10: Adding and Subtracting Real Numbers 21. ANS: –198 REF: Lesson 9: Evaluating and Comparing Algebraic Expressions 22. ANS: REF: Lesson 17: Translating Between Words and Algebraic Expressions 23. ANS: domain is {3, 5, 6, 9}; range is {1, 2, 8}. REF: Lesson 25: Differentiating Between Relations and Functions 24. ANS: a. Sample: The scale does not start at zero, so the heights of the bars vary greatly, even though the data values are very close to each other. b. Sample: The graph seems to show that people prefer Health Grain to other brands. c. Results of Cereal Survey 100 80 60 40 20 Health Grain A B C Brand REF: Lesson 27: Identifying Misleading Representations of Data 25. ANS: 3 n= m+4 2 REF: Lesson 29: Solving Literal Equations 26. ANS: domain is ; range is REF: Lesson 30: Graphing Functions 27. ANS: $0.94 > $0.93; 5 lbs for $4.65 is the better buy. REF: Lesson 31: Using Rates, Ratios, and Proportions 28. ANS: 6 men and 8 women REF: Lesson 31: Using Rates, Ratios, and Proportions 29. ANS: First Second Spin Spin 1 1 2 3 1 2 2 3 1 3 2 3 The probability of spinning a 1 and a 2 in either order is 2 . 9 REF: Lesson 33: Finding the Probability of Independent and Dependent Events 30. ANS: –1, 4, 9, and 14 REF: Lesson 34: Recognizing and Extending Arithmetic Sequences 31. ANS: Yes, arithmetic sequence; common difference is 4; next two terms are 13 and 17 REF: Lesson 34: Recognizing and Extending Arithmetic Sequences 32. ANS: The x-intercept is 24. The y-intercept is 18. The x-intercept shows that if no muffins were sold, 24 bagels were sold. The y-intercept shows that if no bagels were sold, 18 muffins were sold. REF: Lesson 35: Locating and Using Intercepts 33. ANS: 0.4 REF: Lesson 37: Using Scientific Notation 34. ANS: 55° REF: Lesson 36: Writing and Solving Proportions 35. ANS: REF: Lesson 37: Using Scientific Notation 36. ANS: REF: Lesson 37: Using Scientific Notation 37. ANS: REF: Lesson 38: Simplifying Expressions Using the GCF 38. ANS: REF: Lesson 38: Simplifying Expressions Using the GCF 39. ANS: square inches REF: Lesson 40: Simplifying and Evaluating Expressions Using the Power Rule for Exponents 40. ANS: square centimeters REF: Lesson 40: Simplifying and Evaluating Expressions Using the Power Rule for Exponents