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NAME ______________ KEY_______________________ HOMEROOM _____ Collins_________ DATE __________________________ PARENT SIGNATURE & DATE (BONUS PTS.) ________________________________________________________________ UNIT 2: OPERATIONS & ALGEBRAIC THINKING STUDY GUIDE Directions: Fill in the blanks or bubble in the circle with the correct answer to each question. Feel free to use a scrap sheet of paper to help you work out the problems. These problems are similar to what you will see on your test. 1. Which has the same value as 3 x 7? XXX O O O O XXX 7+7+7 X 3+3+3 3+7 3+7+3+7+3+7 XXX XXX X XXX XXX X 2. Each package of hot dogs has 8 hot dogs. If Sally counted the hot dogs in groups of 8, which list shows numbers she could have named? O O O O 8, 16, 27, 48 16, 24, 45, 64 8, 18, 24, 40 8, 16, 24, 40 8X1=8 8 X 2 = 16 8 X 3 = 24 8X 4 = 32 8 X 5 = 40 3. What number makes the number sentence true? 4 x 11 = ___ x 4 O O O O 4 11 7 44 Commutative Property allows 11 to be the answer. 21 + 21 24 + 25 14 + 29 25 + 15 Rule: Add 6 23, 29, 35, 41, 47, _53_, _59_, _65_ 7. Mr. Sanchez has 42 screwdrivers. He puts an equal number of screwdrivers in each of 6 drawers. How many screwdrivers are in each drawer? O O O O 6 7 8 9 42 ÷ 6 = 7 7 x 6 = 42 8. What is 54 ÷ 6? O O O O 12 7 8 9 9 x 6 = 54 9. Which math fact can help you find 9 ÷ 9? 4. Which is a way to find 7 x 6? O O O O 6. What are the next three numbers in the pattern? 7 x 6 = 42 21 + 21 = 42 5. What number makes both number sentences true? 9 x ___ = 72 72 ÷ 9 = ___ O 6 O 7 9 x 8 = 72 O 8 72 ÷ 9 = 8 O 9 O O O O 9 + 9 = 18 9x1=9 18 - 9 = 9 9 x 9 = 81 9÷9=1 9x1=9 10. Pablo has 6 balloons. His sister has 3 times as many balloons. How many balloons does Pablo's sister have? O O O O 12 18 24 21 6 x 3 = 18 11. Which number is not a multiple of 8? O O O O 16 64 27 40 8x1=8 8 x 2 = 16 8 x 3 = 24 8 x 4 = 32 8 x 5 = 40 8 x 6 = 48 8 x 7 = 56 8 x 8 = 64 8 x 9 = 72 8 x 10 = 80 17. Mr. Chen buys boxes of crayons for his students. The chart shows the different prices for the boxes of crayons. Total Number of Boxes 2 4 6 10 12. Which number is a prime number and a factor of 20? O O O O 2 3 4 10 2 is a prime number. Its factors are 1 and 2. AND 2 x 10 = 20 13. Which is not a factor pair of 36? O O O O {2, 16} {3, 12} {4, 9} {6, 6} What is the total price for 6 boxes of crayons? Rule: __$24__ Multiply by 4 18. What rule can be used to find the number of wheels on 7 tricycles? 16 x 2 = 32, NOT 36. 14. Carly writes this number pattern in chalk on the sidewalk. Write the next three numbers in the pattern. 1, 3, 9, 5, 1, 3, 9, 5, 1, 3, _9_, _5_, _1_ 15. Lockers in the Green Street School are lined up in the pattern shown below. Total Price $8 $16 ? $40 Number of Tricycles Number of Wheels O O O O Add 6 Subtract 2 Multiply by 3 Divide by 3 3 5 7 9 9 15 ? 27 3x3=9 5 x 3 = 15 9 x 3 = 27 19. James is measuring the sides of triangles. If the pattern continues, how many inches will he measure all around if one side is 6 inches long? __18 inches__ Rule: x 3 6 x 3 = 18 Write the number that belongs on the blank locker. __34__ Rule: Add 5 16. Last month, Ms. Barkley spent $378 on food, $925 on rent, and $272 on utilities. Which is the best estimate of the total amount Ms. Barkley spent on these three things? O O O O $1,500 $1,550 $1,600 $1,700 $378 $400 $925 $900 + $272 + $300 $1,575 $1,600 20. Cheryl's car traveled 226 miles on 8 gallons of gas. She traveled about the same number of miles with each gallon. Which is the best estimate for the number of miles she traveled with each gallon of gas? O 20 miles O 30 miles O 40 miles O 60 miles 226 ÷ 8 = 28 R2 28 rounds to 30. SHORT RESPONSE QUESTION Directions: Read all parts of the short response question before you begin. Write your answers to the short response question in the space provided. For each short response question, use the grid provided to create any required charts or graphs. If a question does not require a chart or graph, write your written response over the grid lines. Kathy is thinking of a number pattern. The first four numbers of her pattern are shown below. 6, 12, 18, 24, _____, _____, _____ A. Write the next three numbers in Kathy's pattern. B. Write a rule that tells how to write Kathy's number pattern. 21. A. The next three numbers in Kathy’s pattern are 30, 36, 42. They are all multiples of 6. B. You can write Kathy’s number pattern by “adding 6” to the previous number to get the next number in the pattern. OPEN RESPONSE QUESTION Directions: Read all parts of each open response question before you begin. Write your answers to the open response questions in the space provided. For each open response question, use the grid provided to create any required charts or graphs. If a question does not require a chart or graph, write your written response over the grid lines. Alice drew three geometric patterns made up of squares. She collected data about her patterns in the table below. Rows Squares 2 3 3 5 4 7 A. If Alice continues her pattern, how many squares would a shape with 6 rows have? Draw the geometric shape, and explain the number of squares it took to help you create it. B. What is the rule for this geometric pattern? Explain the pattern in your own words. 22. A. A. It took 11 squares to help create the geometric shape with 6 rows. B. The numbers in the second row of Alice’s table form a number sequence. A rule for this sequence is “add 2” squares to the previous pattern of squares in order to find the number of squares in the next geometric pattern. To make the geometric shape with 6 rows, 4 squares had to be added to the last shape that had 4 rows. Two squares created 2 more columns, and 2 squares created 2 more rows.