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Solving Equations
Equal Values Method
Linear Relationships 1
Linear Relationships 2
Linear Relationships 3
100
2x - 3 = -x + 3
What is 2
100
y = x - 6 y = 12 - x Remember your answer should be an ORDERED PAIR (x, y)
What is (9, 3)?
100
What is the slope (growth) of y = 3x + 5
What is 3?
100
Highland has a population of 12,200 that has been increasing by 300 people per year. Lowville has a pop. of 21,000 that has been decreasing by 250 people per year. Write an equation for each town where x is the number of years and y is the population.
What is y = 300x + 12,200 and y = -250x + 21,000?
100
Find the y-intercept. y = 4x + 5
What is 5?
200
1 + 3x - x = x - 4 + 2x
What is 5
200
y = 3x - 5 y = x + 3
What is (4, 7)?
200
Find the y-intercept of y = 7x - 2.
What is -2?
200
Highland has a population of 12,200 that has been increasing by 300 people per year. Lowville has a pop. of 21,000 that has been decreasing by 250 people per year. When will the towns have the same population?
What is 16 years from now? They will have 17,000 people.
200
David and Norah are saving money for a new sleeping bags. David has $10 and saves $2 per week. Norah has $4 and saves $3 per week. Write an equation for each if x is the number of weeks and y is the amount of money.
What is y = 2x + 10 and y = 3x + 4?
300
3 + 3x - (x - 2) = 3x + 4
What is 1
300
y = x + 7 y = 4x - 5
What is (4, 11)?
300
Andy and his girlfriend Jane want to buy iPods. Andy has $215 and can save $35 each week. Jane has $380 and can save $20 each week. Write an equation for EACH person when x is the number of weeks and y is the savings.
What is y = 35x + 215, and y = 20x + 380?
300
A tile pattern can be represented with the equation y = 3x + 4. How many tiles will figure 20 have?
What is 64 tiles?
300
David and Norah are saving money for a new sleeping bags. David has $10 and saves $2 per week. Norah has $4 and saves $3 per week. If the sleeping bags cost $40, who will save enough money first?
Who is Norah?
400
-(x + 3) = 2x - 6
What is 1
400
x = 7 + 3y x = 4y + 5
What is (13, 2)?
400
Andy and his girlfriend Jane want to buy iPods. Andy has $215 and can save $35 each week. Jane has $380 and can save $20 each week. When will Andy and Jane have the same amount of money?
What is 11 weeks. ($600)
400
A tile pattern can be represented with the equation y = -2x + 10. How many tiles will figure 4 have?
What is 2?
400
Tile pattern 4 has 8 tiles. Tile pattern 6 has 14 tiles. Write an equation where x is tile pattern and y is the number of tiles.
What is y = 3x - 4?
500
2x - 1 - 1 = x - 3 - (-5 + x)
What is 2
500
x = -3y + 10 x = -6y - 2
What is (22, -4)?
500
Another name for growth is....
What is slope?
500
Tile pattern 1 has 4 tiles. Tiles pattern 2 has 7 tiles. Tile pattern 3 has 10 tiles. Write an equation to represent this situation.
What is y = 3x + 1?
500
Tile pattern 4 has 8 tiles. Tile pattern 6 has 14 tiles. How many tiles does Tile pattern 20 have?
What is 56 tiles?