Polynomial Word Problems – Age Algebra 1 Section

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Polynomial Word Problems – Age Algebra 1 Section

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Polynomial Word Problems Age Algebra 1 Section 9.4c Steps 1. Read the entire problem. 2. Read the problem again and identify the important facts. 3. Set up a comparison andor table. 4. Read the problem again and set up an equation. 5.

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Polynomial Word Problems – Age Algebra 1Section 9.4c

Steps 1. Read the entire problem. 2. Read the problem again and identify the important facts. 3. Set up a comparison and/or table. 4. Read the problem again and set up an equation. 5. Solve the equation. 6. Read the problem one last time to determine what answer is needed.

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Marie is 13 years older than Joanna. The sum of their ages is 55. How old is Maria? Marie = Joanna = x + 13 x x + (x + 13) = 55 2x + 13 = 55 2x = 42 x = 21 (21) (34) Maria is 34 years old Age ProblemsExample 1

Ms Jones is 3 times as old as her son. The sum of their ages is 52. What are their ages? Mom = Son = 3x x x + 3x = 52 4x = 52 x = 13 (13) (39) Maria is 39 years oldHer son is 13 years old Age ProblemsExample 2

Age Problems Example 3 Jose is 5 years older than Richard. In 6 years, the sum of their ages will be 35. How old is each person now? (x + 5 + 6) + (x + 6) = 35 2x + 17 = 35 2x = 18 x = 9 Richard is 9 years oldJose is 14 years old

Dan is twice as old as Erik. Five years ago, the sum of their ages was 26. How old are they now? Age Problems
Example 4 (2x – 5) + (x – 5) = 26 3x – 10 = 26 3x = 36 x = 12 Erik is 12 years oldDan is 24 years old

If you are 15 years old and your father is 45 years old, in how many years will your father be twice as old as you? Age Problems
Example 5 (45 + x) = 2(15 + x) 45 + x = 30 + 2x 45 = 30 + x 15 = x 15 years

Rose is 29 years old. Her mother is 50. How many years ago was the mother twice as old as Rose? (50 – x) = 2(29 – x) 50 – x = 58 – 2x x = 8 8 years ago Age Problems
Example 6

The ages of two sisters are consecutive odd integers. Twelve years ago, the sum of the ages was 8. How old is each now? (x – 12) + [(x + 2) – 12] = 8 2x – 22 = 8 2x = 30 Younger sister is 15 years old.
Older sister is 17 years old. Age Problems
Example 7 x = 15

Emil, who just turned 17, has a 50-year-old aunt. In how many years will Emil be half as old as his aunt? 17 + x = ½(50 + x) 34 + 2x = 50 + x x = 16 16 years Age Problems
Example 8

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Polynomial Word Problems – Age Algebra 1 Section

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