2016 Grade 6 Final Review

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1 Name: Module 1 Integers 1. The table shows the weight losses and gains (in lbs.) for a dog over 6 months Grade 6 Final Review 11. What is the LCM of 21 and 30? J A S O N D Graph the losses and gains on the number line. 2. Paula s scores for a computer game were 7, 5, 3, 6, 1, 1, and Every sixth visitor to an animal shelter gets a free animal calendar. Every twentieth visitor gets a free animal toy. Which visitor each day will be the first one to get both the calendar and the animal toy? Put them in order from least to greatest. 3. The absolute value of a number is its from zero. 4. Absolute value is always or zero. 5. The symbol means less than. 6. The symbol means greater than. Module 3 Rational Numbers 13. Which set of rational numbers is correctly ordered from least to greatest? A 0.48, 0.47, 0.46, 0.45 B 0.48, 0.46, 0.47, 0.45 C 0.45, 0.47, 0.48, 0.46 D 0.45, 0.46, 0.47, The absolute value of -6 and 6 is. 8. A kite descends to the ground from a height of 32 feet. Use an integer to describe the descent. 13. Write the numbers 2.1, 1.8, 2.5 and 2.7 from greatest to least. Module 2 Factors and Multiples 9. James says that 12 is a common factor of 3 and 4. June says that 12 is a common multiple of 3 and 4. Who is correct? 10. What is the GCF of 21 and 30? 14. Write the number 10.5 in the form a b.

2 1 15. Kevin compared the absolute values of 10, , 8 and Which number has the 8 greatest absolute value? Module 5 Operations with Decimals 20. What is the product of 0.4 and 2.5? Module 4 Operations with Fractions 16. What is the quotient of 2 8? What is the value of 40.4 divided by 4? 22. Find the sum of What is the reciprocal of 3? Dillon divided a pound bag of pears among his five friends. How many pounds of pears did each friend receive? Module 6 Representing Ratios and Rates 23. The ratio of catfish to trout in the local pond is 1 to 3. If there are 200 catfish in the pond, how many trout are there? 19. What is the product of 1 2 and 5? Michael bought a box of 20 pretzel rods for $4.40. What is the price per pretzel rod? (unit rate)

3 25. Kori earns $9 per hour working at the local library. If she works 5 hours on Saturday, how much money will she earn? 26. In Ms. Henrick s class, there are 10 boys and 12 girls. a. What is the ratio of boys to girls? Express your answer as a fraction in simplest form. b. What is the ratio of girls to boys? Express your answer as a fraction in simplest form. 28. Brigit took a train that travels at a speed of 30 miles per hour. The table below shows the distance the train has traveled at different times since beginning its trip. Time (h) Distance (mi) Fill in the missing values to complete the table. 29. There are 10 red marbles and 20 green marbles in a bag. Colleen says the ratio of red marbles to green marbles is 10 to 20. Fritz disagrees and says the ratio is 1:2. Which student is correct? Explain your answer. c. What is the ratio of girls to students? Express your answer as a fraction in simplest form. d. What is the ratio of boys to students? Express your answer as a fraction in simplest form. Module 8 Percents 30. What number is 30% of 200? Is/of = percent/100 Module 7 Applying Ratios and Rates 27. Nandeville and Henningsburg are 10 miles apart. On a map, the two cities are 2 inches apart. How many miles does 1 inch represent on the map? 31. What is the decimal equivalent of 40%? 32. Lindsay ate 7 of an apple. What decimal of 8 the apple did she eat? What percent of the apple did she eat?

4 = 33. Adam has saved 35% of the $400 he needs to save to buy a bike. How much money has Adam saved so far? 39. Which power has a greater value? 1 6 or Rewrite (-17) x (-17) x (-17) as a power. Module 9 Generating Equivalent Numerical Expressions 34. What is the prime factorization of 42? Module 10 Generating Equivalent Algebraic Expressions 41. Identify the variable and the constant in the expression below. n 3 variable: constant: 42. Complete the expression for the phrase below. a number h multiplied by six 35. What is the value of the expression below? (PEMDAS) 43. Use 10 for m. Then find the value of the expression 3.5m. 36. What is the value of any nonzero number raised to the power of 0? 44. Use the distributive property. Simplify the expression below. 5(x 2) 37. Write 3 x 3 x 3 x 3 as a base with an exponent 45. Combine like terms. 5y 8 y 46. A student is evaluating the expression below for n (n 0.5)

5 The student substitutes 3.7 for n. Write the new expression. What step should the student do next? 51. Solve the equation below. d 6 2 Module 11 Equations and Relationships 47. Decide whether s 9 is a solution to the equation 2 s 7. Write yes or no. Module 12 Relationships in Two Variables - Use the grid for The weight of a package increases by 2 pounds. The new weight of the package is 8 pounds. Write an equation to represent the situation. 52. Graph point A at ( 2, 4). Label A. Graph point B at (2, 3). Label B. 53. What ordered pairs name the locations of points P and Q? 54. In which quadrant are no points graphed? Use the graph for Solve the equation below. m The independent variable is shown on the x- axis. What quantity is the independent variable? 50. Solve the equation below. 15 p 6

6 56. The dependent variable is shown on the y- axis. What quantity is the dependent variable? 58. What is the area of the trapezoid below? Module 13 Area and Polygons Square: Area Formulas Rectangle: Parallelogram: 59. What is the area of the rhombus shown below? Trapezoid: Triangle: Rhombus: ½ (d 1 d 2 ) 57. A parallelogram has a base of 12 centimeters and a height of 8 centimeters. What is the area of the parallelogram?

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