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21 Cards in this Set
- Front
- Back
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Write a word equation then what?
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Replace with algebraic expressions
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Solve for a variable then what?
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Reread the question and confirm the required value
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Profit equals what?
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Revenue minus cost
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Total cost equals what?
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price per item times quantity purchased
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Total earnings equal what?
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pay rate times time worked
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To make 2 values equal, one is lowered by a percent. Example 20%.
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You multiply the larger value by 4/5 or 80%, and add the larger value to the smaller value, multiplied by 1/5 or 20%.
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if you have n variables then what?
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You will need n equations
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If you have Apples at .75 each, bananas at .50 each, 20 pieces of fruit of apples and bananas only, and total cost $13.00. How many apples were purchased?
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1 equation form Apples = A, Bananas = 20 minus A. Multiply 75 A plus 50 times 20 minus A = 1300, then solve for A |
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If you have Apples at .75 each, bananas at .50 each, 20 pieces of fruit of apples and bananas only, and total cost $13.00. How many apples were purchased?
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2 equation form 75A + 50B = 1300, A + B = 20. Simplify the first equation by dividing by 25. Simplify the second equation by multiplying by 2. Subtract the two equations. A = 12. |
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It is easier to solve word problems with ratios and 2 unknown values with what?
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2 variables
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To solve and age question what do you need to do?
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1. Create a table with given times 2. Create equations; 1 with present time, and one with future or past time and make equal 3. solve present equation and other equation 4. Answer required information |
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What do you need to do to solve a past, present, and future age question.
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1. Make a past, present, and future age chart 2. For the past, get 2 equations and make them equal, then do the same for the future. 3. Solve for the 2 equations. |
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What is the distance formula?
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Distance = rate multiplied by the time
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What is the average speed formula?
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average speed = total distance travelled divided by the total time
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Sometimes, when calculating the average speed formula, what formula do you have to use inside of it?
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D = R x T
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Shrink rate
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1. calculate the time after 1 hour 2. add the times 3. D = R x T |
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Expansion rate
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1. calculate the time after 1 hour 2. subtract the times 3. D = R x T |
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Output formula
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output = rate x time
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Work rate
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1/A + 1/B + 1/C... = 1/Total
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Venn diagram, double matrix method
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Use a Punnett square. Put the total at the top-left, outside the box. 2 sums on the right and 2 sums at the bottom. |
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Arithmetic sequence formula
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[n x (n+1) ] / 2
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