REVIEW OF 6 TH GRADE

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1 Name: Period: Advanced Unit 1: REVIEW OF 6 TH GRADE CW-HW Packet Page 1 of 33

2 Fractions Wksht 1 Find the LCM of the numbers. 1) 3, 8 2) 5, 15 3) 7, 12 Find the GCF of the numbers. 4) 42, 86 5) 122, 76 6) 54, 48 Use the distributive property to rewrite the expression. 7) ) ) Page 2 of 33

3 Fractions Wksht 2 Find the sum or difference. Please circle your final answers. 1) ) 3) ) ) 6) ) ) ) Page 3 of 33

4 Fractions Wksht 3 Find the product or quotient. Please circle your final answers. 1) 2) 3) 4) 5) 6) ) ) ) 2 3 Page 4 of 33

5 Fractions Practice Wksht Use the Distributive Property to re-write each expression. 1) ) ) Find the sum, difference, product, or quotient. Don t forget to simplify your answer to lowest terms. 4) 5) 6) 7) 8) 9) Page 5 of 33

6 Decimal Computation Wksht 1 Show all work for the following computations on lined paper or graph paper and circle your answers. Write your final answers here on the worksheet as well. No calculators! 1) = 2) = 3) = 4) = 5) = 6) = 7) = 8) = 9) = 10) = Page 6 of 33

7 Decimal Computation Wksht 2 Show all work for the following computations on lined paper or graph paper and circle your answers. Write your final answers here on the worksheet as well. No calculators! 1) = 2) = 3) = 4) = 5) = 6) = 7) 39.3 x 0.26 = 8) x = 9) x = Page 7 of 33

8 Decimal Computation Wksht 3 Show all work for the following computations on lined paper or graph paper and circle your answers. Write your final answers here on the worksheet as well. No calculators! 1).. = 2).. = 3). = 4).. = 5).. = 6).. = 7).. = 8).. = 9).. = 10).. = Page 8 of 33

9 Decimal Computation Practice Wksht Show all work for the following computations on lined paper or graph paper and circle your answers. Write your final answers here on the worksheet as well. No calculators! 1) = 2) = 3) = 4) = 5) = 6) x 3.8 = 7) 9.84 x 0.26 = 8). = 9).. = 10) If M&Ms cost $5.99 a pound, how much would it cost to buy eight and a half pounds of M&Ms? Page 9 of 33

10 Statistics Wksht 1 (calculator friendly!) Measures of Center Find the mean, median, mode, minimum, and maximum for the following data sets. 1) 0, 0.3, 0, 0.1, 0, 0.5, 0.2, 0.3 2) 456, 398, 655, 508, 1,186, 625 Mean: Median: Mode: Minimum: Maximum: Range: Mean: Median: Mode: Minimum: Maximum: Range: 3) 118, 116, 130, 106, 116, 146, 143, 129, 121 4) 10.5, 11.6, 9.8, 7.3, 5.6, 12.1, 8.2, 5.7 Mean: Median: Mode: Minimum: Maximum: Range: Mean: Median: Mode: Minimum: Maximum: Range: 5) Find the mean, median, and mode of the data set: 20, 21, 21, 18, 22, 20, 25. Identify the values that remain the same if is added to the set. Mean: Median: Mode: Page 10 of 33

11 Statistics Wksht 2 (calculator friendly!) Find the lower quartile (Q1), median (Q2), upper quartile (Q3) and the interquartile range (IQR) for the following data sets. 1) 25, 85, 35, 45, 95, 75, 55 2) 150, 132, 116, 118, 109, 108, 114, 124 Q1: Q1: Q2: Q2: Q3: Q3: IQR: IQR: 3) 64, 53, 51, 90, 76, 68, 92, 81, 62, 98 4) 20, 10, 50, 60, 40, 30, 90, 70 Q1: Q1: Q2: Q2: Q3: Q3: IQR: IQR: 5) Which of the following data sets have outliers? Explain. a. 90, 92, 93, 94, 97, 100 b. 4, 20, 27, 28, 33, 34, 37 c. 18, 33, 38, 39, 42, 43, 46 Page 11 of 33

12 Mean Standard Deviation CLASSWORK (NOT HW) (calculator friendly!) Find the mean absolute deviation for each of the following data sets. Round to the nearest hundredths if necessary. 1) 111, 125, 101, 94, 136 2) 7, 10, 7, 10, 6, 7, 2 3) 33, 14, 17, 21, 8, 30, 29, 15 4) 20, 10, 50, 60, 40, 30, 90, 70 5) 150, 131, 116, 118, 109, 108, 114, 124 6) 54, 50, 62, 51, 63, 70, 58, 60, 60, 70 7) 19, 21, 24, 18, 20, 20, 19, 17, 20, 23 Page 12 of 33

13 Statistics Wksht 3 (calculator friendly!) Find the mean absolute deviation for each of the following data sets. Round to the nearest hundredths if necessary. 1) 15, 10, 24, 25, 27, 40 2) 11, 10, 12, 9, 18, 12 3) 4, 8, 46, 32, 25, 21, 11 4) 5, 6, 11, 14, 12, 8, 16, 18 5) 220, 340, 120, 180, 230, 340, 100, 70 6) 25, 85, 35, 45, 95, 75, 55, 35 7) 13, 22, 27, 16, 36, 7, 27, 33, 36, 36 Page 13 of 33

14 Statistics Wksht 4 (calculator friendly!) 1) Use the box-and-whisker plot to find the following: a. Median: b. Minimum: c. Maximum: d. Range: e. Lower Quartile: f. Upper Quartile: g. Interquartile Range: 2) The box-and-whisker plot below compares the heights of football players on two different teams. Owls Wolverines a. What percent of the Wolverines are 70 inches or taller? b. What percent of the Owls are 75 inches or taller? c. How do the heights of the Wolverines compare to the heights of the Owls? 3) Use the line plot below to answer the following questions. Math Test Scores a. What is the median? b. What is the minimum? c. What is the maximum? d. What is the lower quartile? e. What is the upper quartile? f. What is the interquartile range? g. What percent of the students scored higher than 95%? h. What is the mode of the test scores? i. What is the mean of the test scores? (Round to the nearest tenths) Page 14 of 33

15 Statistics Practice Wksht (calculator friendly!) Choose the correct answer for each question. Show your work when necessary. 1. Consider the data set: 78, 81, 100, 69, 97, 81, 86. Select the measure of central tendency that has the greatest value: a. Median b. Mean c. Mode Consider the data set: 55, 79, 90, 81, 90, 70, 65. Select the statement that is false: a. Mode: 90; Median: 79 b. Median: 79; Range: 45 c. Mean: 75.7; Range: 35 d. Mean: 75.7; Median: Sam has the following test grades: 85, 98, 79 What must Sam score on the one remaining test, if he wants his test average to be an 88? a. 87 b. 88 c. 89 d Find the lower quartile (Q1), median (Q2), and upper quartile (Q3) for the given data set. a. Q1: 78; Q2: 84; Q3: 91.5 b. Q1: 82; Q2: 85; Q3: 91.5 c. Q1: 80; Q2: 85; Q3: 94 d. Q1: 80; Q2: 85; Q3: , 94, 100, 86, 68, 89, 78, Identify the data set that contains at least one outlier. a. 5, 20, 22, 30, 18, 14 b. 34, 48, 65, 72, 81, 67, 37 c. 45, 31, 32, 51, 55, 53, 48 d. 2, 5, 8, 10, 1, 12, 9, 13, 13, 6. Find the mean absolute deviation, rounded to the nearest hundredth, for the given data set. 20, 45, 52, 60, 19, 34, 42 a b c d Mary paired one word to each measure of central tendency. Identify the most accurate pairing. a. mean average; mode middle; median - often b. mean often; mode middle; median - average c. mean average; mode often; median - middle d. mean middle; mode often; median - average Page 15 of 33

16 Number System Wksht 1 1) Name 5 integers: 2) Name 5 numbers that are not integers: 3) What is the opposite of 38? 4) What is the opposite of -503? 5) Find - 6) Which numbers have 157 as their absolute value? 7) Place the appropriate inequality symbol between the following pairs of rational numbers: a. 3-7 b c d e f ) Label the quadrants, the origin, and the x-axis and y-axis ) On the same coordinate plane, plot and label the following points: Q (-2, 1) R (4, -2) -2-3 S (3, -1) T (-5, -2) -4 U (1, 0) V (0, -3) 4 y 10) Name the coordinates of each point on the coordinate plane to the right. A D A( ) B( ) B x C( ) D( ) -1-2 C E E( ) F( ) F -3-4 Page 16 of 33

17 Expressions Wksht 1 1) What is the base and exponent in the expression 8 9? Base: Exponent: 2) 5 4 = 3) 1 5 = Evaluate each expression. 4) x ) x ) ) (7 4) 2 x 3 8) x 2 x 2 2 9) x 5 10) (7 4) x 2 (5 3) 11) [(6 3) x 2] 3 Page 17 of 33

18 Expressions Wksht 2 1) Identify the constant and coefficient for each expression below: a. 3x 5 b. 2x 1 c. 7 8x d. x + 2 Constant: Constant: Constant: Constant: Coefficient: Coefficient: Coefficient: Coefficient: 2) What is the difference between an expression and an equation? 3) Create an expression with a coefficient of -1 and a constant of -1. Evaluate each expression for the given value. 4) (2n + 1) 2 for n = 3 5) 2(n + 1) 2 for n = 4 6) 2n for n = 3 7) 8(x + 5)(x 2) for x = 4 8) 4x for x = 10 9) 6x + 8y for x = 9 and y = ¼ 5 10) x + (2x 8) for x = 10 11) 5(3x) + 8y for x = 2 and y = 10 Page 18 of 33

19 Expressions Practice Wksht 1) What is the base and exponent in the expression 7 5? Base: Exponent: 2) 3 4 = 3) 8 2 = 4) Identify the constant and coefficient for each expression below: a. 4x - 3 b x Constant: Coefficient: Constant: Coefficient: 5) Create an expression with a coefficient of -2 and a constant of 4. Evaluate each expression. 6) 3 x (5 3 50) 7) x x 8 8) ) (3 + 4) 2 8 x 3 Evaluate each expression for the given value. 10) 3x 2 2 for x = 4 11) 4x + 3x 9 for x = 5 12) 4x + x for x = 12 and y = 6 13) 6x 2 + 2y for x = 7 and y = ½ y Page 19 of 33

20 Equations and Inequalities Wksht 1 Use the solution set to determine the solution to each equation. 1) 2x + 4 = 26 {9, 10, 11, 12} 2) 5p 4 = 16 {3, 4, 5, 6} Name the inverse operation needed to solve for the variable. 3) x + 9 = 17 4) y 8 = 5 5) 9v = 108 6) w 6 12 Solve each equation. 7) n + 7 = 20 8) x 6 = 15 x 9) 7x = 84 10) ) 50 + w = 92 12) z 5 = 98 z 13) 9y = ) 10 8 Page 20 of 33

21 Write an inequality for each sentence below. Equations and Inequalities Wksht 2 1) f is greater than -5. 2) The speed limit, s, cannot exceed 55 mph. 3) A number, x, is at least 15. 4) -2 is less than a number, n. 5) A number, z, is negative. 6) To have a passing grade, g, it must exceed a 70. Use the solution set to determine the solution to each inequality. 7) x < 17 {15, 16, 17, 18} 8) b 23 {21, 22, 23, 24} 9) 8y 24 {2, 3, 4, 5} 10) m > 9 {8, 9, 10, 11} Write an inequality for the graph below. 11) 12) 13) 14) Graph the solution for each inequality. 15) p -1 16) 11 < k Page 21 of 33

22 Equations and Inequalities Practice Wksht Determine the solution to each equation from the given solution set. 1) y 13 = 38 {50, 51, 52, 53} 2) 3x + 12 = 36 {7, 8, 9, 10} Name the inverse operation you would use to solve each equation. 3) 13y = 130 4) y 9 = 15 Solve the following equations. Show all steps of your work and circle your final answers. 5) v + 13 = 40 6) t 17 = 43 7) 3y = 51 8) 14 z = 6 Use the solution set to determine the solutions to each inequality. 9) x > 17 {15, 16, 17, 18} 10) 4g 28 {6, 7, 8, 9} Write an inequality for each graph below. 11) 12) Graph the solution for each inequality. 13) x 14 14) x < -32 Page 22 of 33

23 Geometry Wksht 1 (calculator friendly!) Find the area of each figure. Show each step of your work (formula, substitute, solve, circle your answer with units). 1) 7 ft 2) 5 ft 3) 4) 18 yd 15 yd 8 yd 15 yd 24 yd Continued Page 23 of 33

24 5) 6) 12 yd 9 yd 18 m 22 m 4 yd 15 m 7) 8) Page 24 of 33

25 Geometry Wksht 2 (calculator friendly!) Find the area of each figure. Show each step of your work (formula, substitute, solve, circle your answer with units). 1) 2) 3) 4) Continued Page 25 of 33

26 Find the area of the shaded region. Show each step of your work (formula, substitute, solve, circle your answer with units). 5) 6) 7) Page 26 of 33

27 Geometry Wksht 3 (calculator friendly!) Name the figure. 1) 2) 3) 4) 5) 6) Give the number of faces, edges, and vertices of each shape. 7) 8) Faces: Edges: Vertices: Faces: Edges: Vertices: Continued Page 27 of 33

28 Find the surface area of the figures with the given nets. 9) 10) 10 in 5 m 15 m 13 in 30 m Find the volume of each figure. 11) 12) Page 28 of 33

29 Geometry Practice Wksht (calculator friendly!) Find the area of each figure. Show each step of your work (formula, substitute, solve, circle answer with units). 1) 2) 3) 4) 5) 6) Continued Page 29 of 33

30 Find the area of the shaded region. Show all steps of your work. 7) 8) #9: Find the surface area of the figure given its net. #10: Find the volume of the figure. 9) 10) Page 30 of 33

31 Ratios and Proportions Wksht 1 (calculator friendly!) 1. There are 37 slices of pizza. 10 are plain, 15 are pepperoni, and the rest are sausage. a. What is the ratio of plain to pepperoni? b. What is the ratio of plain to sausage? c. What is the ratio of sausage to total slices? d. What is the ratio of total slices to plain? 2. The following ratios are equivalent, true or false? a. 9:6 is equivalent to 3:2 b. 3 to 5 is equivalent to 12 to 20, which is equivalent to 24 to 10 c. is equivalent to is equivalent to 3. It costs $37.50 for 7 pizzas. What is the cost per pizza? 4. You earn $90 for eight hours of work. What is the hourly rate? Page 31 of 33

32 Ratios and Proportions Wksht 2 (calculator friendly!) 1. There are 25 soccer players on the team. 7 are in 7 th grade and the rest are in 8 th grade. Write the ratios below three different ways: a. The number of 7 th graders to the number of 8 th graders. b. The number of 8 th graders to the total number of players on the team. 2. The following ratios are equivalent, true or false? a. is equivalent to b. 22 to 50 is equivalent to 11:25 c. is equivalent to 3. You can type 325 words in 3.5 minutes. How many words can you type in one minute? 4. Below are some sale prices for soda. Which offers the best price per bottle? SHOW YOUR WORK! a. 5 for $6.50 b. 4 for $1.90 c. 12 for $5.99 Page 32 of 33

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WHOLE NUMBER AND DECIMAL OPERATIONS

WHOLE NUMBER AND DECIMAL OPERATIONS Whole Number Place Value : 5,854,902 = Ten thousands thousands millions Hundred thousands Ten thousands Adding & Subtracting Decimals : Line up the decimals vertically.