1. The document is a math worksheet containing 16 word problems involving finding unknown numbers based on relationships between numbers and operations like addition, subtraction, multiplication, and finding perimeters of shapes. The problems require setting up and solving equations to find the unknown values.

1. Date________ Name__________________
Period____________
Math Assistance Worksheet 4.1-3A
1. The sum of a number and five is thirteen. Find the number.
2. The difference of ten and a number is negative eight. Find the number.
3. The sum of twice a number and four is fourteen. Find the number.
4. The difference of four times a number and eight is sixteen. Find the number.
5. Five times the sum of a number and seven is thirty. Find the number.
6. Five times the difference of twice a number and six is negative twenty. Find the number.
7. One number is two more than another. Their sum is eight. Find both numbers.
8. One number is three less than another. Their sum is fifteen. Find the numbers.

2. 9. One number is four less than three times another. If their sum is increased by five, the
result is twenty-five. Find the numbers.
10. One number is five more than twice another. If their sum is decreased by ten, the result is
twenty-two. Find the numbers.
11. The length of a rectangle is five more than the width. The perimeter is 34 inches. Find the
length and width.
12. The width of a rectangle is three less than the length. The perimeter is 10 feet. Find the
length and width.
13. The perimeter of a square is 48 meters. Find the length of one side.

3. 14. One side of a triangle is twice the smallest side. The third side is seven more than the
shortest side. The perimeter is 15 feet. Find all three sides.
15. The length of a rectangle is three less than twice the width. The perimeter is 54 inches.
Find the length and width.
16. The length of a rectangle is four less than three times the width. The sum of the length
and width is 14 more than the width. Find the width.