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Algebra I: Word Problem Worksheet Name, Slides of Algebra

Algebra I: Word Problem Worksheet. Name: 1. The length of a rectangle is 6 feet greater than the width. The perimeter is 40 ft. Find the length.

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2021/2022

Uploaded on 08/01/2022

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Algebra I: Word Problem Worksheet Name: ______________________________
1. The length of a rectangle is 6 feet greater than
the width. The perimeter is 40 ft. Find the length
and the width.
2. The length of a rectangle is twice the width. The
perimeter is 42 cm. Find length and the width.
3. The length of a rectangle is 2 yards less than 3
times the width. The perimeter is 68 yards. Find
the length and the width.
4. The first side of a triangle is 2 feet longer than
the second. The third side is 5 feet shorter than
twice the second. The perimeter is 49 feet. Find
the length of each side.
5. One angle of a triangle is twice as large as
another. The third angle contains 5º more than the
larger of these. Find each angle.
6. One angle of a triangle is 20º more than another
angle. The third angle is 5º less than the smaller of
these. Find each angle.
7. The perimeter of a rectangle is 86 inches. If the
length is 3 inches longer than the width, find the
lengths of each side.
8. The second of two numbers is 4 times the first.
Their sum is 50. Find the numbers.
9. The larger of two numbers is 1 less than three
times the smaller. Their sum is 63. Find the
numbers.
10. Find three consecutive integers whose sum is
48.
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Algebra I: Word Problem Worksheet Name: ______________________________

  1. The length of a rectangle is 6 feet greater than the width. The perimeter is 40 ft. Find the length and the width.

    1. The length of a rectangle is twice the width. The perimeter is 42 cm. Find length and the width.
  2. The length of a rectangle is 2 yards less than 3 times the width. The perimeter is 68 yards. Find the length and the width.

    1. The first side of a triangle is 2 feet longer than the second. The third side is 5 feet shorter than twice the second. The perimeter is 49 feet. Find the length of each side.
  3. One angle of a triangle is twice as large as another. The third angle contains 5º more than the larger of these. Find each angle.

    1. One angle of a triangle is 20º more than another angle. The third angle is 5º less than the smaller of these. Find each angle.
  4. The perimeter of a rectangle is 86 inches. If the length is 3 inches longer than the width, find the lengths of each side.

    1. The second of two numbers is 4 times the first. Their sum is 50. Find the numbers.
  5. The larger of two numbers is 1 less than three times the smaller. Their sum is 63. Find the numbers.

    1. Find three consecutive integers whose sum is
  6. Find four consecutive odd integers whose sum is 56.

    1. Find three consecutive integers such that the sum of twice the smallest and three times the largest is 126.
  7. One angle of a triangle is twice the second angle. The third angle is three times the second angle. Find each angle.

    1. The second of two numbers is 5 times the first. Their sum is 42. Find both numbers.
  8. The greater of two numbers is 3 more than twice the smaller. Their sum is 24. Find the numbers.

    1. The sum of two numbers is 50. The first is 5 less than 4 times the second. Find the numbers.
  9. The sum of three numbers is 34. The first is 3 less than the second, while the third is 4 more than the second. Find the numbers.

    1. The greater of two numbers is 3 more than the smaller. If twice the smaller is added to the greater the result is 30. Find the numbers.
  10. Jane’s salary is 4 times Mary’s salary. Together, they earn $150 per week. Find the salary of each girl.

    1. Noah’s age is 3 years more than twice Tina’s age. The sum of their ages is 24 years. Find each of their ages.