7.2 Solve Linear Systems by Substitution.notebook October 24, Identify each variable (2 per question). Write equations (2 per question).

Transcription

1 7.2 day 1 CW Identify each variable (2 per question). A drummer is stocking up on drum sticks and brushes. The wood sticks that he buys are $10.50 a pair and the brushes are $24 a pair. He ends up spending $90 on sticks and brushes and buys two times as many pairs of sticks as brushes. How many pairs of sticks and brushes did he buy? s = b = Last year you mowed grass and shoveled snow for 12 households. You earned $225 for mowing a household's lawn for the entire year and you earned $200 for shoveling a household's walk and driveway for an entire year. You earned a total of $2600 last year. How many lawns did you mow and how many driveways did you shovel? m = s = You will be making hanging flower baskets. The plants you have picked out are blooming annuals and non blooming annuals. The blooming annuals cost $3.20 each and the non blooming annuals cost $1.50 each. You bought a total of 24 plants for $ How many of each type of plant did you buy? b = n = In a game, 12 of a baseball team's 27 outs were fly balls. Twenty five percent of the outs made by infielders and 100% of the outs made by outfielders were fly balls. How many outs were made by infielders? (Hint: write one equation for the total number of outs and another equation for the number of fly ball outs.) i = o =

2 7.2 day 1 CW Identify each variable (2 per question). A rental company charges a flat fee for a floor sander rental plus an hourly fee for rental. One customer rents a floor sander for 4 hours and pays $63. Another customer rents a floor sander for 6 hours and pays $87. What is the flat fee and what is the hours rental fee? x = y = Two families go to a hockey game. One family purchases two adult tickets and four youth tickets for $28. Another family purchases four adult tickets and five youth tickets for $ How much does an adult ticket cost and how much does a youth ticket cost? a = y = A travel agency offers two Chicago outings. Plan A includes hotel accommodations for three nights and two pairs of baseball tickets worth a total of $557. Plan B includes hotel accommodations for five nights and 4 pairs of baseball tickets worth a total of $974. What does the hotel cost per night and what does each baseball ticket cost? h = b = There are fifteen workers employed on a highway project, some at $180 per day and some at $155 per day. The daily payroll is $2400. How many workers are there at each pay level?

3 IF box Calculate the x intercept and the y intercept. Show work!!! 6x 4y = 36 Write a Linear System of equations.

4 7.1 p.430(1-3,8-9, 15-18,23,27,30,33,35) 16) (1.8,.4) graph 8) (1, 3) 18) (4, 3) graph 30) (3, 5) (1, 2) (5, 1) graph 33) 15 small cards, 10 large cards

5 Spaeth Spaeth worksheet

6 7.2 day 1 CW s = b = Identify each variable (2 per question). A drummer is stocking up on drum sticks and brushes. The wood sticks that he buys are $10.50 a pair and the brushes are $24 a pair. He ends up spending $90 on sticks and brushes and buys two times as many pairs of sticks as brushes. How many pairs of sticks and brushes did he buy?

7 7.2 day 1 CW Identify each variable (2 per question). Last year you mowed grass and shoveled snow for 12 households. you earned $225 for mowing a household's lawn for the entire year and you earned $200 for shoveling a household's walk and driveway for an entire year. You earned a total of $2600 last year. How many lawns did you mow and how many driveways did you shovel? m = s =

8 7.2 day 1 CW b = n = Identify each variable (2 per question). You will be making hanging flower baskets. The plants you have picked out are blooming annuals and non blooming annuals. The blooming annuals cost $3.20 each and the non blooming annuals cost $1.50 each. You bought a total of 24 plants for $ How many of each type of plant did you buy?

9 7.2 day 1 CW i = o = Identify each variable (2 per question). In a game, 12 of a baseball team's 27 outs were fly balls. Twenty five percent of the outs made by infielders and 100% of the outs made by outfielders were fly balls. How many outs were made by infielders? (Hint: write one equation for the total number of outs and another equation for the number of fly ball outs.)

10 7.2 day 1 CW x = y = Identify each variable (2 per question). A rental company charges a flat fee for a floor sander rental plus an hourly fee for rental. One customer rents a floor sander for 4 hours and pays $63. Another customer rents a floor sander for 6 hours and pays $87. What is the flat fee and what is the hours rental fee?

11 1) Complete 1 8 2) Check answers Class work 3) Raise hand (Spaeth) pink sheet 4) Work on missing work No new HW s = # of drum sticks b = # of drum brushes 10.50s + 24b = 90 s = 2b m = # of lawns mowed s = # of drive ways shoveled 225m + 200s = b = # of blooming plants n = # of non blooming plants 3.20b n = b + n = i = # of infield outs o = # of outfield outs o + i = 27 o +.25i = 12 x = floor sander fee y = # of hours of rental 4y + x = 63 6y + x = 87 a = cost adult tickets y = cost youth tickets 2a + 4y = 28 4a + 5y = h = cost of hotel nights per night b = cost per pair of baseball tickets 3h + 2b = 557 5h + 4b = 974 x = # of people paid $180 per day y = # of people paid $155 per day 180x + 155y = 2400 x + y = 15

12 HW 7.2 day 1 - finish worksheet -