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Problem Solving Resources

A reminder of the expectations and resources for Math Bellwork, including table of contents, problem solving, and properties.

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Problem Solving Resources

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  1. Problem Solving Resources • https://robertkaplinsky.com/lessons/

  2. 2018-2019 3rd Quarter Bellwork

  3. Reminder of Expectations • Come in on time • Read a book or organizing your binder silently • You can’t go to the library everyday so please go at lunch or before school • Bring in an extra book to leave here for when you finish the one you have now. • No eating

  4. Be in line outside of the classroom when the bell rings • Read the list of materials on the left side of the board • Fill out Agenda, every word of it • Start your Bellwork and Take out homework • Cell Phones- Away at all times unless at lunch or a teacher gives you permission to be on them. First reminder- I take it. Second Reminder- I bring it to the office for the end of the day. • Recycling Bins- Only for paper • Calculators- Only take yours

  5. Math 7 BW 1-8 • In your new notebook, create a table of contents and create a new table of contents entry. Copy, Solve each problem independently. Make a new entry in your table of contents. • Explain which fraction(s) results in a repeating decimal: • Simplify. |-18+15| • Find the lowest dollars per ounce of jam.

  6. Honors BW 1-8 • In your new notebook, create a table of contents and create a new table of contents entry. Copy, Solve each problem independently. Make a new entry in your table of contents. • Which equation has the steepest slope? y=3x+4 or y=-4x+2 • Write an equation in slope-intercept form from the points (4,5) and (6,8). • Create a table for the equation y=-4x+2

  7. Math 7 BW 1-9 • Work on the following problems independently: • P. 355 (23-25). There is no need to add to your table of contents.

  8. Honors BW 1-9 • Work on the following problems independently: • P. 14 (32-33). There is no need to add to your table of contents.

  9. Math 7 BW 1-10 • Work on the following problems independently, there is no need to add to your table of contents. • P. 360 (#4) and 361 (#7)

  10. Honors BW 1-10 Copy, Solve each question independently. Add a new table of contents entry. 1. 2. - ____ • Simplify using exponents: x*y*x*y*y*x*y • Solve. • Solve. ( when x= -4 and y =5

  11. Math 7 BW 1-11 Copy, Solve Each Problem Independently, make a new table of contents entry. • Write an example of the associative property • Write an example of the additive identity property • Write an example of the commutative property using only variables • Write an example of the multiplicative identity property using a variable

  12. Honors BW 1-11 • Work on the following problems independently, there is no need to add to your table of contents. P. 30 (34-35)

  13. Square and Circle Question • The length of the radius is r. Answer the following Questions • What is the length of the square? • What is the area of the square? • What is the area of the circle? • What is the area of the shaded portion?

  14. Math 7 BW 1-14 • Copy, Solve Each Problem Independently, make a new table of contents entry. • Distribute: 4(x+2) • Distribute: -6(a+4) • Distribute: 3(2x-4) • Distribute: 2(-2x+5)

  15. Honors BW 1-14 • Work on the following problems independently, there is no need to add to your table of contents. • P.28 (20-22) • P. 29 (26-31)

  16. Math 7 BW 1-15 • Copy, Solve Each Problem Independently, make a new table of contents entry. • Evaluate b-c if b=3, c=1 • Evaluate ab+c if a=4, b=2 and c=3 • Evaluate if a=4, b=2, c=5 • Distribute: 5(-6x+1) • Distribute: -3(6x+2) • Name the property: • Name the property: 80+(20+3)= (80+20) + 3 • Name the property: 3+4+5= 4+3+5 • Ryan runs 5 laps on the first day, 9 laps on the second day, 13 laps on third day. On what day will he run 21 laps if the pattern continues? • Find the next 3 numbers in the pattern 3,10,17,24,____,____,____

  17. Math 7 Chapter 5 Quiz Extra Credit Questions. (10 points each) • Tamara’s small business earns $2,050 each month. She spends 65% of the amount she earns (she saves 35%). The rest of the money is equally divided and deposited into two separate accounts. How long until one of those accounts has more than $2,500 if no money is taken out. • Write an expression to represent the number of toothpicks for any figure.

  18. Work on the following problems independently, there is no need to add to your table of contents. 31 (1-5) 38 (39,40)

  19. Math 7 BW 1-16 • Copy, Solve Each Problem Independently, make a new table of contents entry. Use a diagram to add or subtract. • Add: -6 + -4 • Add: -3 + 6 • Subtract: ( • Subtract: (-12)

  20. Honors BW 1-16 10. Simplify, express without exponents: 11. Simplify, express without exponents: 12. Simplify, express with exponents: • Copy, Solve Each Problem Independently, make a new table of contents entry. • Write 8 as a decimal. • Write 5.875 as a mixed number • Write repeating a fraction • Write using exponents: • Write using exponents: • Evaluate if a=-3 and b=-4 • Express using exponents: • Express using exponents: • Express using exponents:

  21. Chapter 1 Extra Credit Honors • Each dimension of a cube has been increased to twice its original size. If the new cube has a volume of 64,000 cubic centimeters, what is the area of one face of the original cube? 

  22. Math 7 BW 1-17 • Copy, Solve Each Problem Independently, make a new table of contents entry. • Simplify: 4y+2+7y+12 • Simplify: 5y+3-9y-8 • Simplify: -6a+4-8a+10 • Simplify: 5r-9+2r+10

  23. Honors BW 1-17 • Copy, Solve Each Problem Independently, make a new table of contents entry. • Simplify: • Simplify: • Simplify:

  24. Math 7 BW 1-18 • Copy, Solve Each Problem Independently, make a new table of contents entry. • Simplify: 4x+3-8x-2 • Simplify: 5x-9-9x+14 • Andy hit x home runs in a season. Tom hit 6 less than three times the home runs of Andy. Find the total. • Paul ate s slices of pizza. Anthony had 1 less than 3 times that amount. Find the total.

  25. Honors BW 1-18 • Copy, Solve Each Problem Independently, make a new table of contents entry. 1. Simplify: 2. Simplify: 3. Write using a positive exponent 4. Write using a negative exponent other than -1.

  26. Extra Problems for simplifying expressions • Pat paid x dollars for his tickets to the game. Henry paid four more than twice that amount. Find the total. • On Monday you work out for x minutes. On Tuesday you work out 20 less minutes than Monday. On Wednesday you work out 30 more minutes than Tuesday. On Thursday you work out 3 times the minutes as Monday. On Friday you work out for 99 minutes. Find the total number of minutes you worked out. • Nikki, Bella and Glenda are playing a game. Nikki has two times the number of points as Bella. Glenda has 3 times the number of points as Nikki. Find the total number of points.

  27. Math 7 BW 1-22 • Copy, Solve Each Problem Independently, make a new table of contents entry. • Simplify: 5x+3-7x-6 • Simplify: 4x-10-8x+13 • Andy hit x home runs in a season. Tom hit 8 less than four times the home runs of Andy. Find the total. • Paul scored g goals in the hockey season. Anthony had four less than five times that amount. Eric had 2 less than Anthony. Find the total.

  28. Honors Math BW 1-22 • Copy, Solve Each Problem Independently, make a new table of contents entry. 1. =_______ 2. =________ 3. 4. A cube has a side length of . Find the volume.

  29. Math 7 BW 1-23 • Copy, Solve Each Problem Independently, make a new table of contents entry. • Simplify: (5x-4) + (3x+1) • Simplify: (6x+12) + (-8x-3) • Simplify: (8x+2) + (x-2) • Simplify: (-3x-2) + (4x-1)

  30. Honors BW 1-23 • Copy, Solve Each Problem Independently, make a new table of contents entry. • Write in scientific notation: 6,201 • Write in scientific notation: 0.045 • Write in scientific notation: 654,321 • Write in standard form: 5. Write in standard form: 6. Write in standard form:

  31. Math 7 BW 1-24 • Copy, Solve Each Problem Independently, make a new table of contents entry. • Alex hit 4x+5 home runs and Derek hit 3x-2 home runs. What was their total number of home runs hit? • On Monday you work on x minutes of homework. On Tuesday you work on three more minutes than twice Monday’s amount. On Wednesday you work on 60 minutes of homework. Find the total minutes of homework. • Subtract: (6x+5) - (2x+2)

  32. Honors BW 1-24 • Copy, Solve Each Problem Independently, make a new table of contents entry. • Add: 5,000,000+ • Subtract: 6,000 - • Multiply: • The sun is 9.296 miles from the earth. The moon is 2.38 miles from the earth. Approximately how many times farther from the earth is the sun compared to the moon?

  33. Math 7 BW 1-25 • Copy, Solve Each Problem Independently, make a new table of contents entry. • Subtract: (6x+2) – (2x+1) • Subtract: (8x+9) – (3x+2) • Subtract: (-12a-3) – (6a+6) • Subtract: (5m-12) – (-2m+3)

  34. Honors BW 1-25 • Copy, Solve Each Problem Independently, make a new table of contents entry. • Simplify: • Simplify: • Simplify: • A square backyard has an area of 303 square yards. What is a good approximation for the length of one of the sides?

  35. Costco Problem • Costco offers two prices for membership by the year. Plan 1: $60 fee, no discount on purchases Plan 2: $120 fee, all members pay 2% off the ticketed price. How much money do you need to spend in a year where the amount of money you spend on the “stuff” and the membership fee would be equal for both plans?

  36. Math 7 BW 1-28 • Copy, Solve Each Problem Independently, make a new table of contents entry. • Add: 6(x+2) + 2(x-4) • Subtract: (6x-2) - (4x+5) • Use distributive property: 8(x-4) • Evaluate 2x+3y if x=-4 and y=2

  37. Honors BW 1-28 • Copy, Solve Each Problem Independently, make a new table of contents entry. • Which is larger? or Explain. • Without the use of a calculator, estimate the square root of 67.

  38. Math 7 BW 1-29 • Copy, Solve Each Problem Independently, make a new table of contents entry. • Find the GCF: 4x and 8xy • Find the GCF: 44a and 16a • Distribute: 4(-2x+3) • Add: (2x+3) + (-5x-5) • Subtract: (6x-2) – (4x+1) • Evaluate 4x+8y if x=2 and y= -3

  39. Honors BW 1-29 • Copy, Solve Each Problem Independently, make a new table of contents entry. 1. Classify with terms from yesterday: -2.25 2. Classify with terms from yesterday 3. Order from least to greatest: , .28 4. Estimate the square root of 8 5. A square has an area of 87 meters, find the approximate measure of one of the sides. 6. Simplify: 7. A square has a side length of 6xy. Find the area of the square.

  40. Math 7 BW 1-30 • Copy, Solve Each Problem Independently, make a new table of contents entry. • Factor 6xy+36 • Factor 8y+12 • Factor 8x-6 • Factor 6q-39 • Distribute: 5(x-4) • Add: (6x+5) + (-6x-5) • Subtract: (9x+4) – (-4x+9) • Combine like terms: 5x+3-2x+9 • Find the next number in the pattern: 5,9,13…..

  41. Honors BW 1-30 • Copy, Solve Each Problem Independently, make a new table of contents entry. • Write • Simplify: • Simplify: • Simplify: • Simplify: • Write • Write 6.54 * in standard form • Estimate the square root of 45 • Jersey City, NJ is 1.38 from New York, NY. Phoenix, AZ to New York, NY 3.862 . How many times further is Phoenix, AZ from New York, NY as compared to Jersey City, NJ. • 343

  42. Test Extra Credit • Your car gets 25 miles per gallon(mpg) at 60 miles per hour (mph) but increases to 30 mpg at 50 mph. If gas costs $2.10 a gallon, how much money do you save by going 50 mph instead of 60 mph on a 1200 mile drive?

  43. Math 7 BW 1-31 • Copy, Solve Each Problem Independently, make a new table of contents entry. • Factor 8xy+32 • Factor 4y+14 • Factor 5x-35 • Factor 9q-42 • Distribute: 6(x-3) • Add: (6x+2) + (-4x-3) • Subtract: (8x+2) – (-3x+5) • Combine like terms: 2x+7-8x+11 • A rectangular pool has an area of 15x+35. Factor the expression. • Three friends get pizza and soda. The total cost was 3x+21. Factor the expression to find the cost of one person’s meal.

  44. Honors BW 1-31 • Copy, Solve Each Problem Independently, make a new table of contents entry. • Draw a right angle. • Draw 2 parallel lines. • Draw 2 intersecting lines. • Write a definition for supplementary angles. • Write a definition for complementary angles.

  45. Math 7 Bellwork 2-1 • Copy, Solve Each Problem Independently, make a new table of contents entry. • Use the distributive property to simplify 3(-6+2). • Add: (-x+5) + (4x+3) • Subtract: (-x-5) – (4x+9) • What is the value of -5(6+2) • Simplify: 5x+12+3x-8 • What is the value of 5x+7y if x=2 and y=-3 • Evaluate if x=10 and y=-5 • Write an example of the associative property. • Factor 28x-7 • The cost of hamburgers and sodas for 4 friends was 4x+28. Find the cost of one person’s meal.

  46. Honors BW 2-1 • Copy, Solve Each Problem Independently, make a new table of contents entry. Copy the diagram 1. Identify the relationship between angle 1 and 2. 2. Identify the relationship between angle 1 and 8. 3. Identify the relationship between angle 4 and 7. 4. Identify the relationship between angle 3 and 6. 5. If Angle 1 equals 70 degrees, find the measurement of all the other angles.

  47. Toyota Problem • How many years will it take from saved gas money to pay for the extra cost for a hybrid ($22,600 vs. $25,900)? Gas Costs $2.00 per gallon Miles Driven: 10,000 per year MPG Regular car: 30 MPG MPG Hybrid car: 41 MPG Interest Rate= 2%

  48. Math 7 BW 2-4 • Copy, Solve Each Problem Independently, make a new table of contents entry. • Fill in the blank. _____+ 7=15 • Fill in the blank. _____ 9=12 • Add: -6+3 • Subtract:

  49. Honors Math BW 2-4 • Copy, Solve Each Problem Independently, make a new table of contents entry. Copy the diagram • Angles 2 and 4 are each 70 Find angle 3. • Angle 4 and Angle 5 are what type of angles? (Don’t say acute) • Angle 6 is 42what is the measure of angle 8? 4. Using information from question 3, find the measure of angle 7.

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