Linear Relationships UNIT 3 Warm-Up A. Finding Percents Mentally Find 10% of each of the following numbers. (Move the decimal 1 place to the left.

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1 Linear Relationships UNIT 3 Warm-Up A Find 10% of each of the following numbers. (Move the decimal 1 place to the left.) 1) 600 2) 50 3) 36 4) 574 5) ) 900 7) 270 8)13.8 9) ) ) Record the domain in the table. Use the following equation to evaluate for the -values: Percent Application Domain: {-4, -1, 0, 1, 4} Plot the points and sketch the graph. List the Range: Show our work: 12) PETS Three out of ever 20 dogs in the U.S. are Golden Retrievers. Write this ratio as a percent. 13) GEOGRAPHY About 9% of the world s surface is covered b land. Write this percent as a fraction. 14) 69 15) 70 16) Simplif. a) b) 17) Evaluate if and. a) b) c) 18) Solve. 19) Which of the following epressions represents a number (n) less than 12? A. B. C. D. (3-A)

2 Linear Relationships UNIT 3 Warm-Up B Find 10% of each of the following numbers. 1) 90 2) ) 53 4) 246 5) ) 640 7) 700 8)22.8 9) ) ) Record the domain in the table. Use the following equation to evaluate for the -values: Percent Application Domain: {-2, -1, 0, 1, 2} Plot the points and sketch the graph. List the Range: Show our work: 12) VOTING The rate of voter turnout in the 1932 U.S. presidential election was Write this decimal as a percent. 13) COMMUTING On his trip across town, Mark was stopped b a red light at 9 out of 15 intersections. At what percent of intersections was Mark stopped b a red light? 14) 71 15) 72 16) Simplif. a) b) 17) 17) Evaluate if and. a) b) c) 18) Solve. 19) Alfredo bought 3 new notebooks for school. He paid $2.49 for all the notebooks. Which equation can be used to find n, the cost of each notebook? A. 9 B. 9 C. 9 D. 9 (3-B)

3 Linear Relationships UNIT 3 Warm-Up C Find 20% of each of the following numbers. (Find 10% and then double the result.) 1) 600 2) 50 3) 34 4) 621 5) ) 1,200 7) 270 8)73.1 9) ) ) Record the domain in the table. Use the following equation to evaluate for the -values: Show our work: Domain: {-4, -3, 0, 2, 3 } Plot the points and sketch the graph. List the Range: Percent Application 12) CLIMATE In Las Vegas, Nevada, the skies are clear on 90% of the das. How man das in the month of June would ou epect the skies to be clear in Las Vegas? Round the answer to the nearest da. 13) POLLING A recent poll shows that 60% of adults are in favor of increased funding for education. The number of adults surveed for the poll was 150. How man of the adults surveed were in favor of increased funding for education? 14) 73 15) 74 16) Describe the location on a coordinate plane for the following points. a) A(3, 2) g) G(0, 0) b) B(0, -4) h) H(0, 7) c) C(-5, 3) i) I(-8, -3) d) D(-3, -2) j) J(8, 3) e) E(7, -1) k) K(-9, 0) f) F(3, 0) l) L(-4, 6) Plot and label the points on the coordinate grid. (3-C)

4 Linear Relationships UNIT 3 Warm-Up D Find 20% of each of the following numbers. 1) 500 2) 70 3) 36 4) 574 5) ) 900 7) 360 8)13.8 9) ) ) Record the domain in the table. Use the following equation to evaluate for the -values: Show our work: Domain: {-2, -1, 0, 2, 3} Plot the points and sketch the graph. List the Range: Percent Application 12) FISH POPULATION Fish and game managers have determined that 10% of the approimatel 3,400 fish in Avondale Lake are catfish. How man catfish are there in Avondale Lake? 13) AIR TRAVEL At one large international airport in the U.S., 20% of the arriving flights are from other countries. On a recent da, 240 flights arrived at the airport. How man of these flights were from other countries? 14) 75 15) 76 Write the coordinate for each point, then describe the location. a) A h) H b) B i) I c) C j) J d) D k) K e) E l) L f) F m) M g) G n) N (3-D)

5 Linear Relationships UNIT 3 Warm-Up E Find 5% of each of the following numbers. (Find 10% and then divide b 2.) 1) 600 2) 50 3) 46 4) 284 5) ) 900 7) 150 8)12.8 9) ) ) Record the domain in the table. Use the following equation to evaluate for the -values: Show our work: Domain: {-2, -1, 0, 1, 3} Plot the points and sketch the graph. List the Range: Percent Application; Sales and Discount 12) In a boutique, a $14 scarf is marked, "20% off." What is the discount on the scarf? What is the sales price? 13) A $80 shirt is marked, "Get 25% off." What is the discount? What is the sale price of the shirt? Discount: Sale Price: Discount: Sale Price: 14) 77 15) 78 16) Look at the equation below. If, what is the value of? A. 6 B. 9 C. 12 D ) Which value for makes the number sentence true? 9 A. 3 B. 6 C. 9 D ) The pairs of phrases to the right represent different relationships. Each phrase in the pair is related to the other. Identif the independent (I) and dependent (D) variable for each pair item b placing an I or a D in the space provided (3-E) a) Total cost of cand Number of pieces of cand b) Perimeter of a square Side length of a square c) Total cost of an item Change from a ten dollar bill d) Total calories Number of slices of cake

6 Linear Relationships UNIT 3 Warm-Up F Find 5% of each of the following numbers. 1) 90 2) ) 50 4) 246 5) ) 640 7) 700 8)22.8 9) ) ) Record the domain in the table. Use the following equation to evaluate for the -values: Show our work: Domain: {-3, -1, 0, 1, 3} Plot the points and sketch the graph. List the Range: Percent Application; Sales and Discount 12) Our meal was $39.50 but we got 20% off because it came late. What did we save? What did our meal end up costing us? 13) In an electronics store, a $90 ipod is labeled, "Save 20%." What is the discount of the ipod? What is the sale price of the ipod? Discount: Sale Price: Discount: Sale Price: 14) 79 15) 80 16) Simplif. a) b) 17) Simplif. a) b) c) d) 9 e) 9 f) 9 18) Identif whether the situation would be continuous C or discrete D b placing a C or a D in the space provided. a) The amount of rainfall during a one month period b) The total number of plas during four football games c) Your test grades for the nine weeks d) The temperature during the da at Beaumont e) The height of a candle after it has been lit (3-F)

7 Linear Relationships UNIT 3 Warm-Up G Find 15% of each of the following numbers. (Find 10%,then divide b 2 to find 5%, and then add 10%.) 1) 600 2) 50 3) 46 4) 280 5) ) 900 7) 150 8)20 9) 70 10) ) Record the domain in the table. Use the following equation to evaluate for the -values: Show our work: Domain: {-4, -2, 0, 2, 4} Plot the points and sketch the graph. List the Range: Percent Application; Sales and Discount 12) In a biccle store, a $500 biccle is marked, "Get a 30% discount." What is the discount? What is the sale price of the biccle? 13) The $3.50 chocolate bar I purchased was on sale for 20% off, what did I pa for it? How much did I save? Discount: Sale Price: Discount: Sale Price: 14) 81 15) 82 16) Graph the function. 17) Graph the function. (3-G)

8 Linear Relationships UNIT 3 Warm-Up H Find 15% of each of the following numbers. 1) 800 2) 30 3) 24 4) 820 5) 44 6) ) 130 8)60 9) 90 10) ) Record the domain in the table. Use the following equation to evaluate for the -values: Show our work: Domain: {-4, -2, 0, 2, 4} Plot the points and sketch the graph. List the Range: Percent Application; Sales and Discount 12) In an electronics store, a $75 ipod is labeled, "Save 15%." What is the discount of the ipod? What is the sale price of the ipod? 13) M cell phone cost me $ to fi but the repair gu gave me 40% off so it onl cost me about? Approimatel how much did I save? Discount: Sale Price: Discount: Sale Price: 14) 83 15) 84 16) Graph the function. 17) Graph the function. (3-H)

9 Linear Relationships UNIT 3 Warm-Up I Find 1% of each of the following numbers. (Move the decimal 2 places to the left.) 1) 600 2) 50 3) 36 4) 574 5) ) 900 7) 270 8)13.8 9) ) ) Record the domain in the table. Use the following equation to evaluate for the -values: Show our work: Domain: {-3, -2, -1, 0, 1} State the slope (rate of change): State the -intercept (where = 0): Percent Application; Mark-up and Sales Ta 12) Calculate the amount of sales ta, 6%, on a watch with a purchase price of $40. What is the final cost? 13) Calculate the amount of sales ta, 5%, on a shirt with a purchase price of $26. What is the final cost? Sales Ta: Final Cost: Sales Ta: Final Cost: 14) 85 15) 86 16) Graph each table. Determine the pattern in the -column. Write the input/output rule for each table. a) b) (3-I)

10 Linear Relationships UNIT 3 Warm-Up J Find 1% of each of the following numbers. 1) 90 2) ) 53 4) 246 5) ) 640 7) 700 8)22.8 9) ) ) Record the domain in the table. Use the following equation to evaluate for the -values: Show our work: Domain: {-1, 0, 1, 2, 3} State the slope (rate of change): State the -intercept (where = 0): Percent Application; Mark-up and Sales Ta 12) Calculate the amount of mark-up, 150%, on a helmet with an original price of $20. What is the final cost? 13) Calculate the amount of mark-up, 200%, on a sweater with an original price of $30. What is the final cost? Mark-up: Final Cost: Mark-up: Final Cost: 14) 87 15) 88 (3-J)

11 Linear Relationships UNIT 3 Warm-Up K Find 2% of each of the following numbers. (Move the decimal 2 places to the left and then double.) 1) 600 2) 50 3) 36 4) 574 5) ) 900 7) 270 8)13.8 9) ) ) Use the following table to answer the following: State the slope (rate of change): State the -intercept (where = 0): Equation: Percent Application; Mark-up and Sales Ta 12) Calculate the amount of sales ta, 6%, on a pen with a purchase price of $10. What is the final cost? Graph the relationship. 13) Calculate the amount of mark-up, 120%, on a pair of shoes with an original price of $50. What is the final cost? Sales Ta: Final Cost: Mark-up: Final Cost: 14) 89 15) 90 (3-K)

12 Linear Relationships UNIT 3 Warm-Up L Find 2% of each of the following numbers. 1) 90 2) ) 53 4) 246 5) ) 640 7) 700 8)22.8 9) ) ) Use the following table to answer the following: State the slope (rate of change): State the -intercept (where = 0): Equation: Percent Application; Mark-up and Sales Ta Graph the relationship. 12) Calculate the amount of sales ta, 8%, on a DVD with a purchase price of $20. What is the final cost? 13) Calculate the amount of mark-up, 150%, on a chair with an original price of $300. What is the final cost? Sales Ta: Final Cost: Mark-up: Final Cost: 14) 91 15) 92 16) Graph each table (Some points ma be off the grid, just don't plot them. State the rate, the starting point. and write the equation of the line. a) b) (3-L)

13 Linear Relationships UNIT 3 Warm-Up M Find 6% of each of the following numbers. 1) $50 2) $20 3) $5 4) $2 5) $500 6) $200 7) $800 8)$80 9) $8 10) $ ) Use the following table to answer the following: State the slope (rate of change): State the -intercept (where = 0): Equation: Percent Application; Percent of Increase/Decrease Graph the relationship. 12) Note: To calculate percent of increase or decrease. Find the percent of increase or decrease. Indicate whether the change is an increase or decrease. Population : From 100 two ears ago to 120 presentl 13) Find the percent of increase or decrease. Indicate whether the change is an increase or decrease. Population : From 120 two ears ago to 100 presentl 14) 93 15) 94 16) For each linear function, identif the slope and -intercept. a) b) c) d) 4) slope: slope: slope: slope: -intercept: -intercept: -intercept: -intercept: e) f) slope: -intercept: slope: -intercept: (3-M)

14 Linear Relationships UNIT 3 Warm-Up N Find 6% of each of the following numbers. 1) $10 2) $60 3) $1 4) $6 5) $100 6) $600 7) $500 8)$50 9) $5 10) $ ) Use the following graph to complete the table and answer the following: State the slope (rate of change): State the -intercept (where = 0): Equation: Percent Application; Percent of Increase/Decrease 12) Find the percent of increase or decrease. Indicate whether the change is an increase or decrease. Grade : From 80% at mid-term to 90% at end of term ) Find the percent of increase or decrease. Indicate whether the change is an increase or decrease. Grade : From 90% at mid-term to 80% at end of term. 14) 95 15) 96 D) (3-N)

15 Linear Relationships UNIT 3 Warm-Up O Calculate the following. (Hint: Think of the fraction equivalencies to the percents.) 1) 50% of 30 2) 25% of 80 3) 20% of 25 4) 33 % of 66 5) 5% of 100 6) 50% of 48 7) 25% of 16 8) 20% of 50 9) 33 % of 93 10) 5% of 40 11) Use the following graph to complete the table and answer the following: State the slope (rate of change): State the -intercept (where = 0): Equation: Percent Application; Percent of Increase/Decrease 12) Find the percent of increase or decrease. Indicate whether the change is an increase or decrease. Cost: $200 before Christmas and $180 after ) Find the percent of increase or decrease. Indicate whether the change is an increase or decrease. Cost: $180 before Christmas and $200 after. 14) 97 15) 98 (3-O)

16 Linear Relationships UNIT 3 Warm-Up P Calculate the following. 1) 50% of 40 2) 25% of 160 3) 20% of 35 4) 33 % of 300 5) 5% of 200 6) 50% of 32 7) 25% of 60 8) 20% of 250 9) 33 % of 27 10) 5% of 80 11) Use the following graph to complete the table and answer the following: State the slope (rate of change): State the -intercept (where = 0): Equation: Percent Application; Percent of Increase/Decrease 12) Find the percent of increase or decrease. Indicate whether the change is an increase or decrease. Population: Number of fish in the lake was 3,000 last ear and 2,000 this ear ) Find the percent of increase or decrease. Indicate whether the change is an increase or decrease. Population: Number of fish in the lake was 2,000 last ear and 3,000 this ear. 14) 99 15) ) Make a sketch of stair-steps using the given steepness. The steepness ratio is the vertical change (rise) compared to horizontal change (run). Start our stair-steps at the star that is alread located on the grids below. (3-P)

17 Linear Relationships UNIT 3 Warm-Up Q Calculate the following. 1) 50% of 70 2) 25% of 28 3) 20% of 25 4) 33 % of 99 5) 5% of 60 6) 50% of 700 7) 25% of 280 8) 20% of 250 9) 33 % of ) 5% of ) Use the following equation to complete the table and graph. Answer the following: State the slope, m: State the -intercept, b: Equation: Percent Application; Simple Interest 12) Note: Simple interest is the amount of mone paid or earned for the use of mone. To find simple interest I, use the formula. Principal, p, is the amount of mone deposited or invested. Rate, r, is the annual interest rate written as a decimal. Time, t, is the amount of time the mone is invested in ears Show our work: 13) If $100 is invested for 6 ears at 2%, indicate the values: p:, r:, t: Calculate the interest. If $100 is invested for 5 ears at 1.5%, indicate the values: p:, r:, t: 14) ) ) For each linear function, identif the slope (m) and -intercept (b). a) b) c) d) m = ; b = m = ; b = m = ; b = m = ; b = 17) Complete each table. For each table, identif the slope (m), -intercept (b), and write the equation. a) m = ; b = b) m = ; b = Equation: Equation: (3-Q)

18 Linear Relationships UNIT 3 Warm-Up R Calculate the following using the easiest method. 1) 10% of 400 2) 20% of 400 3) 5% of 400 4) 15% of 400 5) 1% of 400 6) 10% of 32 7) 20% of 32 8) 5% of 32 9) 15% of 32 10) 1% of 32 11) Use the following equation to complete the table and graph. Answer the following: State the slope, m: State the -intercept, b: Equation: Percent Application; Simple Interest 12) If $50 is invested for 10 ears at 2%, indicate the values: p:, r:, t: Calculate the interest Show our work: 13) If $100 is invested for 10 ears at 2%, indicate the values: p:, r:, t: Calculate the interest. 14) ) ) For each linear function, identif the slope (m) and -intercept (b). a) b) c) d) m = ; b = m = ; b = m = ; b = m = ; b = 17) Complete each table. For each table, identif the slope (m), -intercept (b), and write the equation. a) m = ; b = b) m = ; b = Equation: Equation: (3-R)

19 Linear Relationships UNIT 3 Warm-Up S Calculate the following using the easiest method. 1) 10% of 600 2) 20% of 600 3) 5% of 600 4) 15% of 600 5) 1% of 600 6) 10% of 20 7) 20% of 20 8) 5% of 20 9) 15% of 20 10) 1% of 20 11) Use the following equation to complete the table and graph. Answer the following: State the slope, m: State the -intercept, b: Equation: Percent Application; Simple Interest 12) If $1000 is invested for 10 ears at 3%, indicate the values: p:, r:, t: Calculate the interest Show our work: 12) If $2000 is invested for 10 ears at 1.5%, indicate the values: p:, r:, t: Calculate the interest. factorization 14) ) ) Instructions: On the graph, mark two convenient points on the grid. Make a stair-step to help determine the slope. Etend the line to find the -intercept, if necessar. Use the slope and - intercept to write the equation for each graph. Create a table of values for each relationship. (3-S) m = b = Table HINT: Start recording points from left to right on the graphed line! Equation:

20 Linear Relationships UNIT 3 Warm-Up T Calculate the following using the easiest method. 1) 10% of 900 2) 20% of 900 3) 5% of 900 4) 15% of 900 5) 1% of 900 6) 10% of 25 7) 20% of 25 8) 5% of 25 9) 15% of 25 10) 1% of 25 11) Use the following equation to complete the table and graph. Answer the following: State the slope, m: State the -intercept, b: Equation: Percent Application; Simple Interest 12) If $500 is invested at 2% and earns $60, indicate the values: p:, r:, i: Calculate the time Show our work: 13) If $200 is invested for 3 ears and earns $6, indicate the values: p:, t:, i: Calculate the interest rate. 14) ) ) Instructions: On the graph, mark two convenient points on the grid. Make a stair-step to help determine the slope. Etend the line to find the -intercept, if necessar. Use the slope and - intercept to write the equation for each graph. Create a table of values for each relationship. (3-T) Table HINT: Start recording points from left to right on the graphed line! m = b = Equation:

21 Linear Relationships UNIT 3 Warm-Up U Calculate the following using the easiest method. 1) 10% of ) 20% of ) 5% of ) 15% of )1% of ) 10% of 40 7) 20% of 40 8) 5% of 40 9) 15% of 40 10) 1% of 40 11) Use the following equation to complete the table and graph. Answer the following: State the slope, m: State the -intercept, b: Equation: Percent Application, Review 12) ) In a gift shop, a $16 decorative bo is marked, "20% off." What is the discount on the bo? What is the sales price? Show our work: 13) Calculate the amount of sales ta, 6%, on a TV with a purchase price of $700. What is the final cost? Discount: Sale Price: Sales Ta: Final Cost: 14) ) ) Instructions: On the graph, mark two convenient points on the grid. Make a stair-step to help determine the slope. Etend the line to find the -intercept, if necessar. Use the slope and - intercept to write the equation for each graph. Create a table of values for each relationship. (3-U) m = b = Equation:

22 Linear Relationships UNIT 3 Warm-Up V Calculate the following using the easiest method. 1) 10% of ) 20% of ) 5% of ) 15% of ) 1% of ) 10% of 30 7) 20% of 30 8) 5% of 30 9) 15% of 30 10) 1% of 30 11) Use the following equation to complete the table and graph. Answer the following: State the slope, m: State the -intercept, b: Equation: Percent Application; Review 12) Calculate the amount of mark-up, 150%, on a coat with an original price of $60. What is the final cost? Show our work: 13) Find the percent of increase or decrease. Indicate whether the change is an increase or decrease. Population : From 100 two ears ago to 180 presentl Mark-up: Final Cost: 14) ) ) Multiple Choice: If a line passes through the two points in the graph below then the equation of the line containing those points is A B C D 17) Multiple Choice: If a line contains the points in the table below, then the equation of the line is A B C D (3-V)