Word Problems to Expressions
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The document discusses writing expressions to represent earnings and perimeters. It provides examples of expressions for: 1) Hazel's earnings of 23d dollars for working 23 hours at a rate of d dollars per hour. 2) A worker's weekly salary of 40h dollars for working 40 hours at a rate of h = $5.15 per hour, which evaluates to $206. 3) The perimeter of Kylie's garden fence as the sum of side lengths 12 + 6a + 3a + 12 + 4a - 16, which simplifies to 13a + 18.
Word Problems to Expressions
- 2. Hazel worked as a receptionist at the courthouse last week for 23 hours for a salary of d dollars per hour. How could you write an expression that show Hazel’s earnings ?
- 3. Since 23 is the amount of hours she worked and we know that she gets d dollars per hour, we would multiply 23 times d. This would be written as: 23d
- 4. The minimum wage set in 1997 was $5.15 per hour. A worker’s weekly work hour consisted of 40 hours per week. Write and evaluate an expression where h = $5.15 to find a worker’s weekly salary.
- 5. 40h is the expression Substitute $5.15 for h and evaluate 40(5.15) = 206.00 Workers earned $206.00 per week
- 6. Kylie’s garden is surrounded by a fence. A diagram of the fence is shown. Write an expression that represents the perimeter of the fence as the sum of the side lengths.
- 7. First, write an expression adding the side lengths 12 + 6a + 3a + 12, + 4(a-4) Next, distribute 12+6a+3a+12+4a-16 Now, use commutative and associative to simplify (6a+3a+4a) + (12+12-16) Finally, simplify: 13a + 18