Algebra I
Unit 3
Worksheet #1
Parts = Total, Perimeter of Triangles and Rectangles,
Key Steps
1.) Create an information key for the unknowns and the total…
-Let x be the complete unknown
-Describe the other unknowns in terms of x
2.) Create an equation from the unknowns
3.) Solve for x
4.) Plug the value for x into the other unknowns to find their values
Solve the following word problems show each of the above key steps.
1.
The total of three numbers is 62. The second number is two more than the first number. The
third number is twice the first number. Find the numbers.
2.
There are 116 pieces of fruit in the box. There are ten less apples than oranges. Find the
number of apples and oranges.
3. There are two groups of people in the audience. The number of adults is five more than twice
the number of students. How many students and how many adults are there if there are 215
people in the audience?
4.
The ages of three brothers total 63 years. The second brother is twice as old as the first
brother. The third brother is three years older than the second brother. How old is each one?
5. Jake is three years older than Scott. Mark is ten years older than Scott. How old is each if the
sum of Jake’s age and Scott’s age is equal to Mark’s age.
6.
A jar contains a total of 60 coins. The number of dimes is twice the number of nickels. The
number of quarters is 5 more than twice the number of nickels. How many of each type of coin
are in the jar?
7.
The perimeter of a triangle is 45 cm. One side is twice as long as the shortest side. Another
side is five cm longer than the shortest side. How long is each side of the triangle?
8.
The perimeter of a rectangle is 68 inches. The length of the rectangle is 10 inches longer than
the width. Find the length and the width of the rectangle.
9.
The perimeter of a triangle is 89 cm. The longest side is three cm longer than twice the shortest
side. The middle side is two cm longer than the shortest side. Find the length of each side of
the triangle.
10. The perimeter of a rectangle is 82 cm. The length is one cm more than three times the width.
Find the length and the width of the rectangle.