NAME: Today s Date: Finished by: 7 th Grade Math Final Exam Study Guide Unit 7.1: Operations with Rational Numbers 1. Which number property describes the number sentence (17 x 3) x 20 = 17 x (3 x 20)? A. Associative Property C. Distributive Property B. Commutative Property D. Identity Property 2. Which is an example of the Commutative Property of Multiplication? A. (7 + 16) + 4 7 + (16 + 4) B. 58 27 27 58 C. 398 1 398 D. 103 21 21 103 3. Which fraction below is equivalent to the decimal (0.875)? A. 3 B. 4 C. 7 D. 8 4 6 8 9 4. Order the integers from least to greatest: 9, - 2, 0, 7, - 6. A. 7, 9, 0, -2, -6 B. -2, -6, 0, 9, 7 C. -6, -2, 0, 7, 9 D. 0, -2, 9, -6, 7 5. Solve. 3 4 x 2 7 A. 6 11 B. - 6 11 C. 3 3 14 D. -14 6. Caroline has $30 to spend on the school field trip. After paying $15.00 for the cost of the field trip and $5.25 for lunch, how much will she have left? A. $9.75 B. $9.00 C. $15.25 D.$10.25
7. Your bank account has 32 dollars in it. How much money do you need to deposit into your bank account to have a balance of 0 dollars? A. 32 dollars B. 32 dollars C. 0 dollars D. 64 dollars 8. The temperature this morning in Alaska was -9 degrees. The temperature changed to 25 degrees this afternoon. How much did the temperature change? A. -16 degrees B. 24 degrees C. 10 degrees D. 34 degrees 9. Solve -5. A. -5 B. -2 C. 0 D.5 10. Solve. A. 4 5 + 2 3 = 6 8 B. 1 7 15 C. 1 2 15 D. 3 4 Unit 7.2: Expressions and Equations: 11. Write Five less than X as an algebraic expression. A. 5 X B. X + 5 C. X 5 D. 5 + X 12. Which expression is equivalent to 6x 2 + 3x 2 4x? A. 3x 2 + 4x B. 3x 4x C. 5x D. 9x 2 4x 13. Solve. N 15 = 35 A. N = 50 B. N = -50 C. N = 20 D. N = -20 14. Solve. 5x + 12 = 32 A. x = 9 B. x = 4 C. x = 8.8 D. x = 6
15. Solve. 6x + 2x+ 8 = 24 7 th Grade Math Final Exam Study Guide A. x = -8 B. x = -4 C. x = 4 D. x = 8 16. Simplify. 2(x + 3) A. -2x + 3 B. -2x 6 C. 2x 6 D. 2x + 6 17. Factor the expression 3x + 36 A. 6(x + 6) B. 3(3x + 36) C. 3(x + 12) D. 3(x + 36) 18. Solve. 3n 5 > 1 A. n > -2 B. n < -2 C. n > 2 D. n < 2 19. Which graph represents the solution to the inequality 11x > 22? A. B. C. D. -2-2 -2-2 20. Which inequality is represented by the graph? 2 A. 2m > 4 B. 2m < 4 C. 2m > -4 D. 2m < -4 Unit 7.3: Ratios and Proportional Relationships 21. If Jenny can run 5 miles in one hour, how long will it take her to run 20 miles? A. 4 hours B. 4.4 hours C. 110 hours D. 3.6 hours
22. Which is the better deal? A. 12 pack of pens for $6.99 B. 4 pens for $3.50 23. A recipe calls for 12 pepperonis for 2 medium pizzas. How many pepperonis do you need for 6 medium pizzas? A. 48 pepperonis B. 24 pepperonis C. 36 pepperonis D. 10 pepperonis 24. A flag pole is 16 feet tall. It casts a shadow that is 4 feet long. A tree that is next to it is 8 feet tall. How long is the tree s shadow? A. 4 feet B. 2 feet C. 6 feet D. 8 feet 25. A picture of a statue is 7 inches. The statue in real life is 14ft tall. What is the scale factor? A. 1in = 7ft B. 1in = 3ft C. 1in = 2ft D.1in = 5ft 26. Does the table below a represent a direct variation? Cups of sugar (X) 1 2 3 Servings (Y) 5 10 15 A. Yes, K= 1/5 B. Yes, K= 5 C. No 27. A price changes from $10 to $8. What is the percent of change? A. 2% B. 80% C. 20% D. 25% 28. A store purchases jeans for $20 per pair and sell them at an 80% mark-up. How much do the jeans sell for? A. $16 B. $20 C. $24 D. $36 29. A spirit shirt costs $18. If you have to pay 6% sales tax, what is your total cost for the shirt with tax? A. $20.80 B. $18.90 C. $28.80 D. $19.08
30. Gram put $750 in a savings account. If he gains 5% interest per year. How much interest will he earn in 3 years? A. $11,250 B. 37.50 C. $112.50 D. $22.50 Unit 7.4: Statistics 1. The editor of a magazine wants to know the effectiveness of advertising on readers. The editor decides to call every 50th person on the subscriber list to conduct a survey. Does the editor s method produce a representative sample? Explain. (Note: A subscriber is someone who receives every issue of the magazine in the mail. A reader is someone who reads the magazine.) A. Yes. All of the magazine s readers have an equal chance of being selected. B. Yes. All of the magazine s subscribers have an equal chance of being selected and the business manager needs to gain information only about subscribers. C. No. Not all of the magazine s subscribers have an equal chance of being selected. D. No. Not all of the magazine s readers have an equal chance of being selected. The numbers below show Jazmine s scores of five math quizzes. 100, 89, 84, 72, 95 2. What is the relationship between Jazmine s mean and median quiz score? A. The mean is one point lower than the median B. The mean is one point higher than the median C. The mean is four points lower than the median D. The mean is four points higher than the median 3. Below are the times (in minutes) that six students to finish a quiz. Find the Mean Absolute Deviation (MAD) for this data. 10, 14, 15, 15, 14, 10 a. 2 C. 4.67 b. 2.16 D. 13
Use the box-and-whisker plots for 12-15. 7 th Grade Math Final Exam Study Guide 12. What is the difference between the medians for test A and test B? A. 10 C. 35 B. 25 D. 40 13. What is the interquartile range of test B? A. 20 C. 45 B. 35 D. 50 14. What is the median of test B? A. 0 C. 30 B. 20 D. 40 15. What is the range of test A? A. 35 C. 45 B. 40 D. 50 Unit 7.5: Probability 16. On the last math test in Tony s class, 17 out of 25 students scored an 80 or higher. Which percent is closest to the experimental probability that a student selected at random will score an 80 or higher on the next test? A. 32% B. 34% C. 68% D. 80% 17. Two number cubes are rolled and the results are added. What is the probability that the sum is equal to 8? A. 1 36 B. 5 36 C. 1 12 D. 1 6
18. In how many different orders can 8 people stand in line for movie tickets? A. 120 B. 720 C. 5,040 D. 40,320 19. Helen rolls a number cube and spins a spinner with 4 equal sections. How many outcomes are possible? A. 10 B. 6 C. 4 D. 24 20. Jacob picks out two tickets at the same time to determine a winner for a raffle. Are the events independent or dependent? A. Independent because the two events do not effect each other. B. Independent because he does not put the ticket back into the bin. C. Dependent because he replaces the first ticket, so he can draw it again. D. Dependent because he does not replace the first ticket, so he cannot draw it again. 21. Margaret packs 3 jars of soup into a gift box. She has 5 flavors of soup to choose from: lentil, split pea, black bean, tomato, and chicken noodle. How many combinations of three different soups can she pack? A. 3 B. 5 C. 10 D. 120 Unit 7.6: Geometry 22. A triangle has an area of 36 yd 2 and a base of 3 yd. What is the height of the triangle? A. 12 yd B. 24 yd C. 108 yd D. 54 yd
Use the figure for 23 24. Line AB is parallel to line CD. 23. What is the measure of 5? A. 90 B. 100 C. 130 D. 80 24. What type of angles are 5 and 8? A. Vertical B. Supplementary C. Adjacent D. Complementary 25. What is the circumference of a circle with a radius of 14 centimeters? Use 3.14 for. A. 43.96 cm C. 50.24 cm B. 87.92 cm D. 100.48 cm 26. Find the area of the irregular figure. A. 394.08 cm 2 B. 197.04 cm 2 C. 140.52 cm 2 D. 263.76 cm 2
27. The Surface Area is. A. 140 m 2 B. 230 m 2 C. 460 m 2 D. 225 m 2 28. The Volume is. A. 45 cm 3 B. 90 m 3 C. 225 m 3 D. 25 cm 3 11cm 29. The Surface Area is. A. 1776 cm 2 B. 1880 cm 2 C. 2024 cm 2 D. 1856 cm 2 30. The Volume is. A. 4800 cm 3 B. 2400 cm 3 C. 80 cm 3 D. 1200 cm 3