| Identifying Proportions | Identifying a Rate of Change | Writing Equations | Solve Equations and Inequalities | Distributive Property |
|---|---|---|---|---|
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What is "no"?
This graph has a constant slope and but does not go through the point (0,0). This is whether it is proportional or not.
|
What is 4/6 or 2/3 inch every month?
Hair grows around 4 inches every six months. This is the rate of change per month.
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What is y = 16x?
The rate of change in a table that represents a proportional relationship is 16. This is its equation.
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What is x = 2?
This is the solution to this equation:
6 = 3x |
What is 2 * 8 + 2 * 1, or 16 + 2?
This is the formula written in a different format using the Distributive Property:
2(8 + 1) |
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What is: Every table entry has to make an equivalent fraction with every other entry? OR The value at 0 would be 0, and it would have a constant rate of change?
This is what has to be true for a table of values to represent a proportional relationship.
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What is 12.5?
This is the rate of change in a table that's going up by 25 in the dependent variable for every 2 in the independent variable.
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What is y = 2.5x?
The rate of change in a table that represents a proportional relationship is 16. This is its equation.
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What is x = 1?
This is the solution to this equation:
6x + 3 = 9 |
What is 3(5 + -1) or 3(5 - 1)
This is another way to find the following:
3*5 + 3*(-1) |
|
What is y = 2x
This is which of these is proportional:
y = 2x + 6 y = 2x |
What is 12?
This is the rate of change in this equation:
y = 12x |
What is y = 13x + 10?
Amy rides her bike 13 miles per hour. She starts 10 miles from her house and rides away. This is an equation to show her distance from her house.
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What is x = 15.6?
This is the solution to this equation:
2.5x - 7 = 32 |
What is 3x + 63?
This is another way to write the following:
3(x + 21) |
|
What is "no"?
This is whether or not this situation is proportional:
Ms. Callis has 5 pairs of shoes and buys 1 each week. |
What is 12?
This is the rate of change in this equation:
y = 12x - 7 |
What is look for the unit rate (either by the 1 or by seeing what it is going up by) and then write it like this: y = (unit rate) times x. For example, y = 2.5x would mean 2.5 is the unit rate.
This is how you can write an equation for a proportion from a table.
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What is (student has to draw)?
This is the graph for x less than 7 (draw graph on board).
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What is -5(x + -3) or -5(x - 3)
This is another way to write the following:
-5x + 15 |
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What is "It depends on how you think of it?" (Must have explanation.)
This is whether this situation is proportional:
My car goes 25 miles for every gallon of gas. |
What is you count how much the graph goes up for every one over on the x axis. (Show example.)
This is how you find a rate of change in a graph that's not proportional.
|
What is look at the value for 1 on the x axis (the unit rate) and write it like this: y = (unit rate) times x. For example, if the unit rate is 3.5, it would be y = 3.5x
This is how you figure out the equation for a proportional equation from a graph.
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What is everything less than 24.5?
(Graph on board)
This is the solution to the following (draw graph on board).
2x - 14 is less than 35 |
What is
3x + 3 = 17?
Write this equation in a simplified form:
3(x + 1) = 17 |
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