How to set up Algebraic Equations to Match
How to set up Algebraic Equations to Match Real World Problems!
How to convert words to equations… C Problem. Helen has 2 inches of hair cut off each U time she goes to the hair salon. If h equals the B length of hair before she cuts it and c equals the length of hair after she cuts it, which equation would you use to find the length of Helen's hair after she visit the hair salon? a. h = 2 − c c. c = h − 2 b. c = 2 − h d. h = c − 2
How to convert words to equations… C Problem. Helen has 2 inches of hair cut off each U time she goes to the hair salon. If h equals the B length of hair before she cuts it and c equals the E length of hair after she cuts it, which equation would you use to find the length of Helen's hair after she visit the hair salon? 1. Rewrite the question in words 2. Set it equal to… 3. The rest of the boxed-in words length of Helen’s hair after cut = length of hair before cut – cut off hair
How to convert words to equations… Problem. Helen has 2 inches of hair cut off each time she goes to the hair salon. If h equals the length of hair before she cuts it and c equals the length of hair after she cuts it, which equation would you use to find the length of Helen's hair after she visit the hair salon? length of Helen’s hair after cut = length of hair before cut – cut off hair C = h - 2 a. h = 2 − c c. c = h − 2 b. c = 2 − h d. h = c − 2 C U B E S substitute the c, h, and 2 into the relationships above, and then match with the equations (a) through (d).
How did we know to subtract? ? C = h - 2
Notes Problem: Jeanne has $17 in her piggy bank. How much money does she need to buy a Hint: Let the variable represent game that costs $68? what you are looking for… IOW: What you underline in the CUBES method! Solution: Let x represent the amount of money Jeanne needs. Then the following equation can represent this problem: Algebraic Expression 17 + x = 68 Variable We can subtract 17 from both sides of the equation to find the value of x. 68 – 17 = x 51 = x
Example 1:
Example 2:
Example 3:
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