systems of linear equations … and other stuff. please select a team. 1.team 1 2.team 2 3.team 3...
TRANSCRIPT
![Page 1: Systems Of Linear Equations … and other stuff. Please select a Team. 1.Team 1 2.Team 2 3.Team 3 4.Team 4 5.Team 5 12345](https://reader031.vdocuments.mx/reader031/viewer/2022020117/56649c865503460f9493c969/html5/thumbnails/1.jpg)
Systems Of Linear Equations
… and other stuff
![Page 2: Systems Of Linear Equations … and other stuff. Please select a Team. 1.Team 1 2.Team 2 3.Team 3 4.Team 4 5.Team 5 12345](https://reader031.vdocuments.mx/reader031/viewer/2022020117/56649c865503460f9493c969/html5/thumbnails/2.jpg)
Please select a Team.
Tea
m 1
Tea
m 2
Tea
m 3
Tea
m 4
Tea
m 5
20% 20% 20%20%20%1. Team 1
2. Team 2
3. Team 3
4. Team 4
5. Team 5
1 2 3 4 5
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Tell whether the system has no solution, one solution, or infinitely
many solutions.
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y = 5x– 4y = 5x– 5
0% 0%0%
1. no solutions
2. one solution
3. infinitely many solutions
1 2 3 4 5
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y = x + 4y – 4 = x
33% 33%33%
1 2 3 4 5
1. no solutions
2. Infinitely many solutions
3. one solution
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y = 2x – 3y = –x + 3
1 2 3 4 5
0% 0%0%
1. one solution
2. no solutions
3. infinitely many solutions
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Team Scores
0 Team 1
0 Team 2
0 Team 3
0 Team 4
0 Team 5
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Solve the following systems of equations ....
… if you can.
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y = 2x + 3y = 3x + 1
1 2 3 4 5
0% 0%0%0%
1. (–2, –1)
2. (–1, –2)
3. (2, 7)
4. (–2, –5)
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Solve by substitution. y = 2x – 10y = 4x – 8
1 2 3 4 5
0% 0%0%0%
1. (3, 4)
2. (–1, –12)
3. (–4, –17)
4. (3, –4)
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3y = –x + 2 y = –x + 9
1 2 3 4 5
0% 0%0%0%
1. (3, 6)
2. (20, –4)
3. (10, –1)
4. (–1, 8)
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Team Scores
0 Team 1
0 Team 2
0 Team 3
0 Team 4
0 Team 5
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y = 4x + 6 y = 2x
1 2 3 4 5
25% 25%25%25%
1. (1, 2)
2. (3, 6)
3. (6, 3)
4. (-3,-6)
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The length of a rectangle is 2 cm more than four times the width. If the
perimeter of the rectangle is 84 cm, what are its dimensions?
1 2 3 4 5
25%
25%
25%
25% 1. length = 8 cm; width = 34 cm
2. length = 34 cm; width = 8 cm
3. length = 30 cm; width = 10 cm
4. length = 34 cm; width = 10 cm
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Find the value of b that makes the system of equations have the solution (3, 5).
y = 3x – 4y = bx + 2
1 2 3 4 5
25%
25%
25%
25% 1. 0
2. –1
3. 2
4. 1
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Team Scores
0 Team 1
0 Team 2
0 Team 3
0 Team 4
0 Team 5
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The sum of two numbers is 82. Their difference is 24. Write a system of equations that describes this situation.
1 2 3 4 5
25%
25%
25%
25% 1. x + y = 8 2x – y = 24 48 and 24
2. x – y = 8 2x + y = 24 52 and 30
3. x + y = 24 y – x = 82 48 and 30
4. x + y = 8 2x – y = 24 53 and 29
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Sharon has some one-dollar bills and some five-dollar bills. She has 14 bills. The value of the bills is $30. Solve a system of equations
using elimination to find how many of each kind of bill she has.
1 2 3 4 5
25%
25%
25%
25%1. 4 five-dollar bills, 10 one-dollar bills
2. 3 five-dollar bills, 10 one-dollar bills
3. 5 five-dollar bills, 5 one-dollar bills
4. 5 five-dollar bills, 9 one-dollar bills
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Solve by elimination.6x + 3y = –12 6x + 2y = –4
1 2 3 4 5
0% 0%0%0%
1. (10, –16)
2. (2, –8)
3. (–2, 8)
4. (–10, 16)
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3x + 3y = –93x – 3y = 21
1 2 3 4 5
0% 0%0%0%
1. (3, –6)
2. (–5, 2)
3. (3, 3)
4. (2, –5)
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Team Scores
0 Team 1
0 Team 2
0 Team 3
0 Team 4
0 Team 5
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Which method is best for solving this system of equations?
2x – 2y = –8 x + 2y = –1
1 2 3 4 5
25%
25%
25%
25% 1. Substitution
2. Elimination
3. Graphing
4. magic
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2x – 2y = –8 x + 2y = –1
1 2 3 4 5
0% 0%0%0%
1. (–14, 1)
2. (1, 5)
3. (–3, 1)
4. (0, 4)
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3x – 4y = –24 x + y = –1
1 2 3 4 5
0% 0%0%0%
1. (–4, 3)
2. (0, 6)
3. (3, 4)
4. (4, 3)
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Team Scores
0 Team 1
0 Team 2
0 Team 3
0 Team 4
0 Team 5
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x + 2y = –63x + 8y = –20
1 2 3 4 5
0% 0%0%0%
1. (–1, –4)
2. (–4, 4)
3. (–4, –1)
4. (3, 1)
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5x = –25+ 5y10y = 42+ 2x
1 2 3 4 5
0% 0%0%0%
1. (–1, 2)
2. (–1, 4)
3. (4, –1)
4. (5, 10)
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–10x – 3y = –18 –7x – 8y = 11
1 2 3 4 5
0% 0%0%0%
1. (–7, –10)
2. (–4, 3)
3. (3, –4)
4. (2, –1)
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3x – 4y = 9 –3x + 2y = 9
1 2 3 4 5
0% 0%0%0%
1. (3, 9)
2. (–27, –9)
3. (–3, –6)
4. (–9, –9)
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Team Scores
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A jar containing only nickels and dimes contains a total of 60 coins. The value of all the coins in the jar is $4.45. Find
the amount of nickels and dimes that are in the jar.
1 2 3 4 5
25%
25%
25%
25% 1. 30 nickels and 28 dimes
2. 31 nickels and 29 dimes
3. 29 nickels and 31 dimes
4. 30 nickels and 32 dimes
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By what number should you multiply the first equation to eliminate the x ?
–3x – 2y = 2–9x + y = 5
1 2 3 4 5
0% 0%0%0%
1. 6
2. –9
3. 2
4. 3
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An ice skating arena charges an admission fee for each child plus a rental fee for each pair of ice skates. John paid
the admission fees for his six nephews and rented five pairs of ice skates. He was charged $32.00. Juanita paid
the admission fees for her seven grandchildren and rented five pairs of ice skates. She was charged $35.25. What is
the admission fee? What is the rental fee for a pair of skates?
1 2 3 4 5
25%25%25%25% 1. admission fee: $3.25 skate rental fee: $2.50
2. admission fee: $3.50 skate rental fee: $3.00
3. admission fee: $3.00 skate rental fee: $2.00
4. admission fee: $4.00 skate rental fee: $3.50
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Team Scores
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You decide to market your own custom computer software. You must invest $3,255 for computer hardware, and spend $2.90 to buy and package each disk. If each program sells for $13.75, how many copies must you sell to break even?
1 2 3 4 5
0% 0%0%0%
1. 196 copies
2. 301 copies
3. 300 copies
4. 195 copies
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Mike and Kim invest $14,000 in equipment to print yearbooks for schools. Each yearbook costs $7 to print and
sells for $35. How many yearbooks must they sell before their business breaks even?
1 2 3 4 5
0% 0%0%0%
1. 650
2. 2,000
3. 500
4. 400
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Team Scores
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Last question!
Worth 10,000 points …
… no pressure!
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A motorboat can go 8 miles downstream on a river in 20 minutes. It takes 30 minutes for the boat to go upstream
the same 8 miles. Find the speed of the current.
1 2 3 4 5
0% 0%0%0%
1. 7 mph
2. 6 mph
3. 5 mph
4. 4 mph
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