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Handout. Solve the following applications. Draw a table or diagram when necessary. Solving Application Problems. Use ISSUE I – Identify S – Setup S – Solve U – Understand E - Explain. 1. The sum of two times a number and 7 is 35. What is the number?.

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Handout

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  1. Handout Solve the following applications. Draw a table or diagram when necessary.

  2. Solving Application Problems. • Use ISSUE • I – Identify • S – Setup • S – Solve • U – Understand • E - Explain

  3. 1. The sum of two times a number and 7 is 35. What is the number? An equations is made up of two equal expressions. The first step is to find the equal sign. Where is the equal sign in this equation? Now, translate the left and right side of the equal sign.

  4. 1. The sum of two times a number and 7 is 35. What is the number? What does sum mean? What does two times a number mean? Is twice the number the same as two times the number? Translate “The sum of two times a number and 7”.

  5. 1. The sum of two times a number and 7 is 35. What is the number? 2x + 7 Now, translate the right side of the equal sign. 2x + 7 = 35

  6. 1. The sum of two times a number and 7 is 35. What is the number? Solve the equation 2x + 7 = 35 2x + 7 +(-7) = 35 + ( -7) 2x = 28 x = 14 Write the answer in a sentence. The number is 14.

  7. 2. 12 less than 5 times a number is 78. What is the number? (Try this one on your own.) Solve the equation 5x - 12 = 78 5x - 12 + (12) = 78 + (12) 5x = 90 x = 18 Write the answer in a sentence. The number is 18.

  8. Click here to skip this one. 3. 3 times a number increased by 8 is 62. What is the number? (Try this one on your own.) Solve the equation 3x + 8 = 62 3x + 8 + (-8) = 62 + (-8) 3x = 54 x = 18 Write the answer in a sentence. The number is 18.

  9. 4. One number is 5 more than another. If the sum of the numbers is 55, what are the numbers? • Identify the given information. • Set up the equation1st num. + 2nd num = sum • x + x + 5 = 55 • Solve the equation 2x + 5 = 55 2x + 5 +(-5) = 55 +(-5) 2x = 50 x = 25 x 1st number 2nd number Sum x + 5 55 X = 25 is one number . What is the second number?

  10. 4. One number is 5 more than another. If the sum of the numbers is 55, what are the numbers? x + x + 5 = 55 2x + 5 = 55 2x + 5 +(-5) = 55 +(-5) 2x = 50 x = 25 and x + 5 = 30 x 1st number 2nd number Sum x + 5 55 The numbers are 25 and 30.

  11. (Try this one on your own.) 5. One number is 3 times the another. If the sum of the numbers is 64, what are the numbers? • Identify the given information. • Set up the equation1st num. + 2nd num = sum • x + 3x = 64 • Solve the equation 4x = 64 x = 16 x 1st number 2nd number Sum 3x 64 The numbers are 16 and 48. X = 16 is one number . What is the second number?

  12. (REVISED.) 6. John earns $7 an hour less than Mary. Together they earn $33 per hour. How much does each earn? • Identify the given information. • Set up the equationJohn + Mary = sum • x – 7 + x = 33 • Solve the equation 2x – 7 = 33 x = 20 X – 7 John Mary Sum X 33 Mary earns $20 per hour. How much does John earn? John earns $13 per hour and Mary earns $20 per hour.

  13. 8. The length of a rectangle is 5 cm more than the width. The perimeter is 98 cm. Find the dimensions of the rectangle? • Identify the given information. • Set up the equation2L + 2W = P • 2(x + 5) + 2(x) = 98 • Solve the equation 2x + 10 + 2x = 98 x = 22 X + 5 Length Width Perimeter X 98 The width is 22 cm. What is the length? The width is 22 cm and the length is 27 cm.

  14. Extra: The sum three consecutive numbers is 87. Find the numbers. • Identify the given information. • Set up the equation1st + 2nd + 3rd = sum x + (x+1) + (x+2) = 87 • Solve the equation 3x + 3 = 87 x = 28 1st 2nd 3rd Sum X X + 1 X + 2 87 On number is 28. What are the other two? The numbers are28, 29 and 30

  15. Extra: The sum three consecutive ODD numbers is 87. Find the numbers. • Identify the given information. • Set up the equation1st + 2nd + 3rd = sum x + (x+2) + (x+4) = 87 • Solve the equation 3x + 6 = 87 x = 27 1st 2nd 3rd Sum X X + 2 X + 4 87 On number is 27. What are the other two? The numbers are27, 29 and 31

  16. Extra: The sum three consecutive EVEN numbers is 204. Find the numbers. • Identify the given information. • Set up the equation1st + 2nd + 3rd = sum x + (x+2) + (x+4) = 204 • Solve the equation 3x + 6 = 204 x = 66 1st 2nd 3rd Sum X X + 2 X + 4 204 On number is 66. What are the other two? The numbers are66, 68 and 70.

  17. The end!

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