Math Problems and Graph Sketching for Honors and Math 7

3rdQuarter BW 2019-2020

Honors BW 1-7 Copy, solve each question independently. If you have a new notebook, add a new TOC entry. 1. Simplify by distributing: 5(x+4)= 6(2x-3) +5 2. Solve the following equation for x: 6(x-4)=5(x+6) 3. Sketch a graph to represent time on the x-axis and distance on the y-axis for Tony riding his bike at a constant speed. 4. Sketch a graph to represent time on the x-axis and speed on the y-axis for Tony riding his bike at a constant speed. 5. What is the difference in shape of the line for the graphs in #3 and #4?

Math 7 BW 1-7 Copy, solve each question independently. If you have a new notebook, add a new TOC entry. 1. Subtract: 31 2. Simplify: | 4 + (-13)| 3. Overnight the low temperature dropped to -8 . If the temperature during the day was 13 , find the difference between the low temperature and the high temperature. 4. Alex was 671 tall when ninth grade started. Find the difference between these two heights. 5. Paul ran 2 3 3of an hour. Find his speed in miles per hour. 4 21 4 4inches tall when seventh grade started. He was 70 3 8inches 8miles in 1

Honors BW 1-8 P.13 (22-31)

Math 7 BW 1-8 P.643 (1-3)

Honors BW 1-9 P. 22 (28-30)

Math 7 BW 1-9 Copy, solve all questions and diagrams independently. Add a new TOC entry. 1. Find the surface area of the triangular prism. Hint- you will need to find the area of 3 different rectangles. 2. Find the surface area of the triangular prism. 3. A rectangular prism has a VOLUME of 84 in3. Draw the rectangular prism and label the possible dimensions. 4. Using the information you found in #3, find the surface area.

Honors BW 1-10 P. 29 (26-32)

Math 7 BW 671 (14-16)

Part 5: Find the total amount of depreciation that your car would incur after 10 years of ownership. Make Subaru Toyota Porsche Chevy Jeep Honda Ford All other Types Per year Depreciation 17.20% 17.33% 17.87% 18.03% 18.33% 18.83% 19.10% 18.10% Part 6: Create a graph for year (x) and Car s End Value (y).

Period 4 BW 10-13 Continue to work on the Horse Racing Problem

Horse Racing Problem Period 4 At some horse tracks, they measure distances in furlongs, which are equal to 1/8 of a mile. The record on a 6 furlong track is 1 minute and 13 seconds, run by a horse named I Keep Saying. The record for a 7 furlong track is 1 minute and 20 seconds run by a horse named Rich Cream. Which horse had a greater speed in miles per hour? Round Answer to nearest hundredth.

Horse Racing Problem Step 1: Turn furlongs into miles by multiplying. Step 2: Turn the minutes and seconds into just seconds. (Example: 2 minutes and 14 seconds would equal 134 seconds). Step 3: Find your miles per second by dividing. Step 4: There are ___________ seconds in an hour. Step 5: Figure out how to relate miles per second to miles per hour.

Honors Circle- Triangle Problem Assigned 1-10, due 1-17 Circle and Triangle Problem Given information: C1= Circle 1, C2= Circle 2, C3= Circle 3 Triangle TRP is an isosceles triangle with angle T= 94 . Circle 1 and Circle 2 each have a radius of 6 inches. Circle 3 has a radius of 4 inches. Task: Find the percent that is shaded in compared to the sum of the 3 circles area. Note: Not drawn to scale.

Honors BW 1-13 Continue to work on the Circle Triangle Problem

Period 3 BW 1-13

Honors BW 1-14

Copy, Solve Each Problem Independently, make a new table of contents entry. 1. Write 8 1 8 as a decimal. 2. Write 5.875 as a mixed number 3. Write .7 repeating a fraction 4. Write using exponents: 6 3 3 6 5. Write using exponents: ? ? ? ? ? ? ? 6. Evaluate ?3 ? if a=-3 and b=-4 7. Express using exponents: 66 68 8. Express using exponents: 99?11 Honors BW1 Honors BW1- -14 14 10. Simplify, express without exponents: 32 4 11. Simplify, express without exponents: 43 2 12. Simplify, express with exponents: 6?2?3 11?4 9. Express using exponents: 45?3?8 15?2?6

Extra Credit Honors Chapter 1 Quiz- Jan 14 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?

Period 3 BW 1-14 355 (22-26)

Period 4 BW 1-14 P.352 (1-4)

Math 7 BW 1-15 P. 373 17-21

Honors BW 1-16 Copy, Solve each question independently. Add a new TOC. 1. Express 6 3with a positive exponent. 1 144 with a negative exponent not equal to -1. 3. Express ? 4 with a positive exponent. 4. Express 0.0001 as a power of 10. 2. Express

Math 7 BW 1-16 382 (41-42)

Honors BW 1-17 Copy, Solve each question independently. Add a new TOC. 1. Write the following number in scientific notation: .0023 2. Write the following number in scientific notation: 61,000,000 3. Write the following number in standard notation: 6.0 107 4. Write the following number in standard notation: 8.5 10 2 5. Represent the answer in scientific notation. (5.6 104) (3.2 103) 6. Represent the answer in scientific notation. (4.8 104) + (9.2 102)

Math 7 BW 1-17 Copy, Solve Each Problem Independently, make a new table of contents entry. 1. Evaluate b-c if b=3, c=1 2. Evaluate ab+c if a=4, b=2 and c=3 3. Evaluate 2 ?+? ? if a=4, b=2, c=5 4. Distribute: 5(-6x+1) 5. Distribute: -3(6x+2) 6. Name the property: ? ? 0 = 0 7. Name the property: 80+(20+3)= (80+20) + 3 8. Name the property: 3+4+5= 4+3+5 9. 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? 10.Find the next 3 numbers in the pattern 3,10,17,24,____,____,____

NYC Subway Evasion Problem Part 1: During a 2-hour period at one of the 472 subway stations in New York City, it was observed that 84 people evaded the turnstile in which payment is due. The payment to ride the Subway is $2.75, if this pace kept up, how much money would New York City lose in one year? Part 2: This pace isn t guaranteed to keep up because the observation was done during the busiest Subway station in Time Square around 5:00 PM. To find a more reasonable estimate, we should ask the following questions: - What hours do you think are the busiest for riding the subway? - Do you think all stations are all equally as busy? Part 3: A conclusion has been reached that during the 6 peak riding hours (6:00AM- 9:00AM and 3:00PM-6:00PM) the average busy station has 30 subway evaders per hour. There are 100 stations identified by the MTA as busy stations. While the rest of the stations which are non-busy stations and they see 12 subway evaders per hour during the 6 peak riding hours. During off-peak hours (all other times besides 6:00 AM- 9:00 AM and 3:00 PM-6:00 PM) all stations had an average of 20 subway evaders per hour. Now with this information, come up with a more accurate calculation of how much money is lost per year.

Chapter 5 Quiz Math 7 Extra Credit 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.

Honors BW 1-21 Finish working on the NYC Subway evasion problem.

Math 7 BW 1-21 Copy, Solve each question independently. Add a new TOC. 1. Combine like terms: 5x+12-15+10x 2. Combine like terms: -9x+11-12-8x 3. Combine like terms: -8x-3x+12y+12-3y+4 4. Explain why 4x+8 doesn t equal 12x.

Honors BW 1-22 Please silently work on the following: P. 76 (15-17) P. 77 (26-41) P. 87 (29-30)

Math 7 BW 1-22 Please silently work on P.401 (18-22)

Honors BW 1-23 Copy, Solve each question independently. Add a new TOC. 1. Simplify, express with positive exponents: 5x4y2( 2x2y) 2. Simplify, express with positive exponents:[(p3)2]4 3. Simplify, express with positive exponents: 3 28 7 d d 18 4. Write a 7 using a positive exponent. 5. Evaluate (3.61 10 4) + (7.8 103). Express the result in standard form. 6. Write 3.01 106 in standard form. 7. Express 5.7 repeating as a mixed number.

Math 7 BW 1-23 Copy, Solve each problem independently. Add a new TOC 1. (5x-5) (8x+5) 2. (3x-2) (2x+1) 3. (9x-2) (7x+6) 4. (8x+12) (12x-10)

Honors BW 1-24 Copy, Solve each question independently. Add a new TOC. 1. Simplify, express with positive exponents: 6x5y7( 3x3y) 2. Simplify, express with positive exponents:[(p5)3]8 3. Simplify, express with positive exponents: 25?2 5?5 4. Write a 6 using a positive exponent. 5. Evaluate (4.51 10 2) + (7.8 102). Express the result in standard form. 6. Write 8.05 105 in standard form. 7. Express 4.18 repeating as a mixed number. 8. Which is larger? 58 or 3400 Explain.

Chapter 1 Test Period 1 E.C

Math 7 BW 1-23 Copy, Solve each question independently. Add a new TOC. 1. Factor: 18x+9y 2. Factor: 28x-7 3. Factor: 81y+15x 4. Factor: 63xy+28y 5. Add: (6x+3) + (7x-5) 6. Subtract: (8x+6) - (9x-8)

Period 2 Extra Credit Chapter 1 Test Mr. Smith is 81 years older than his grandson, Victor. In 3 years, Mr. Smith will be four times as old as Victor. How old is Victor now?

Part 5: Find the total amount of depreciation that your car would incur after 10 years of ownership. Make Subaru Toyota Porsche Chevy Jeep Honda Ford All other Types Per year Depreciation 17.20% 17.33% 17.87% 18.03% 18.33% 18.83% 19.10% 18.10% Part 6: Create a graph for year (x) and Car s End Value (y).

Honors BW 1-27 Copy, Solve Each Problem Independently, make a new table of contents entry. 1. Draw a right angle. 2. Draw 2 parallel lines. 3. Draw 2 intersecting lines. 4. Write a definition for supplementary angles. 5. Write a definition for complementary angles.

Period 4 BW 1-28 421 24-31

Honors BW 1-28 377 (14-19)

Copy, Solve each problem independently. Add a new TOC. Math 7 BW 1-28 1. Simplify 5x + 4 + 3x 8. 2. Distribute. 6(x + 12)? 3. Factor 25x 35xy using the GCF. 4. Add (13x + 7) + (3x 7). 5. In the expression 13a -5 , identify the coefficient. 6. What is the value of 5a + 7b if a = -1 and b =2? 7. Three friends bought a $21 pizza. Each person bought their own drink. The total cost of the food can be represented by the expression $3x + $21. What expression represents the cost of food for one person?

Honors BW 1-29 P. 395 (17-27). You can solve all in the textbook even though it says copy and solve.

Math 7 BW 1-29 Copy and solve each question independently. Add a new TOC. 1. Four friends bought a $28 pizza. Each person bought their own drink. The total cost of the food can be represented by the expression $4x + $28. What expression represents the cost of food for one person? 2. Simplify 4x + 8 + 2x 7. 3. What is the value of 6d 5c if d = 3 and c = 4? 4. Name the property of multiplication shown the equation (3 x) 8 = 3 (x 8). 5. Subtract ( x 3) (4x + 3). 6. What is the value of 3(-7 2)?

Math 7 Chapter 5 Test Extra Credit The length of a rectangle is four times its width. If the area is 100 meters squared what is the length of the rectangle?

Honors BW 1-30 Copy, Solve each Problem Independently, make a new table of contents entry. 1. Find the sum of the measure of interior angles in a 13-gon. 2. Find the sum of the measure of interior angles in a 11-gon. 3. Find the measure of one exterior angle in a regular triangle. 4. Find the measure of one interior angle in a regular 12-gon.

Math 7 BW 1-30 432 (1-9)

Honors BW 2-3 You can work on the Bellwork together. P. 410 (1-3) Look at the middle of Page 409 for an example if you are stuck!