MATH PROBLEM SOLVING

Question 1

Practice Problems:
1.1 Solve the previous problem by calling the short
piece of board x.

Answer 1

1.1 x+x+ 10 = 20
x=5
x + 10 = 15
The pieces are 5 and 15 in.

Question 2

1.2 A12-ft. rope is cut into three pieces so that the second piece is 1 ft. longer than the first and the third piece is 1 ft. longer than the second. How long
are the pieces?

Answer 2

The pieces are 3,4, and 5 ft.

Question 3

1.3 A 9-ft. board is cut into two pieces so that one piece
is twice the other. How long are the pieces?

Answer 3

The pieces are 3 and 6 ft.

Question 4

1.4 An 80-in. board is to be cut into three pieces so
that one piece is twice another and the third piece is 10 in. more than the second.
Find the length of each piece.

Answer 4

The pieces are called x, 2, and 2x + 10.
They are 14,28, and 38 in.