Honors Algebra
2-5 Word Problem Practice
Name:______________________________
Solve the following by defining a variable and setting up an equation. Answer your question in a
sentence for #5 - 10.
1. Find the number that is six more than twice its opposite.
2. Two thirds of a number reduced by 11 is equal to 4 more than the number. Find the number.
3. Five times the sum of a number and 3 is the same as 3 multiplied by 1 less than twice the
number. What is the number?
4. Tripling the greater of two consecutive even integers gives the same result as subtracting 10 from
the lesser even integer. What are the integers?
5. Find two consecutive even integers such that twice the lesser of two integers is 4 less than two
times the greater integer.
6. Matt is ¼ his uncle’s age; Matt is also 45 years younger than his uncle. Find both Matt’s age and
his uncle’s age.
7. In 1987, Apollo Senior High School had 2561 students and was losing 52 students annually. In
that year, Gemini High School has 1877 students and was gaining 24 students per year. In what
year will the schools have the same number of students?
8. The length of one rectangle is 4 m greater than the width of a second rectangle. The width of the
first rectangle is 6 m and the length of the second rectangle is 9m. The area of the second
rectangle is 3 m2 less than the area of the first rectangle. Find the length of the first rectangle.
9. The formula for perimeter of a rectangle is P = 2l + 2w, where l is the length and is the width. A
rectangle has a perimeter of 24 inches. Find its dimensions if its length is 3 inches greater than
its width.
10. Supplementary angles are angles who measures have a sum of 180o. Complementary angles are
angles who measures have a sum of 90o. Find the measure of an angle whose supplement is 10o
more than twice its complement. Let 90 - x equal the degree measure of its complement and 180
- x equal the degree measure of its supplement. Write and solve an equation.
Honors Algebra
2-5 Word Problem Practice
Name:______________________________
Solve the following by defining a variable and setting up an equation. Answer your question in a
sentence for #5 - 10.
1. Find the number that is six more than twice its opposite.
2. Two thirds of a number reduced by 11 is equal to 4 more than the number. Find the number.
3. Five times the sum of a number and 3 is the same as 3 multiplied by 1 less than twice the
number. What is the number?
4. Tripling the greater of two consecutive even integers gives the same result as subtracting 10 from
the lesser even integer. What are the integers?
5. Find two consecutive even integers such that twice the lesser of two integers is 4 less than two
times the greater integer.
6. Matt is ¼ his uncle’s age; Matt is also 45 years younger than his uncle. Find both Matt’s age and
his uncle’s age.
7. In 1987, Apollo Senior High School had 2561 students and was losing 52 students annually. In
that year, Gemini High School has 1877 students and was gaining 24 students per year. In what
year will the schools have the same number of students?
8. The length of one rectangle is 4 m greater than the width of a second rectangle. The width of the
first rectangle is 6 m and the length of the second rectangle is 9m. The area of the second
rectangle is 3 m2 less than the area of the first rectangle. Find the length of the first rectangle.
9. The formula for perimeter of a rectangle is P = 2l + 2w, where l is the length and is the width. A
rectangle has a perimeter of 24 inches. Find its dimensions if its length is 3 inches greater than
its width.
10. Supplementary angles are angles who measures have a sum of 180o. Complementary angles are
angles who measures have a sum of 90o. Find the measure of an angle whose supplement is 10o
more than twice its complement. Let 90 - x equal the degree measure of its complement and 180
- x equal the degree measure of its supplement. Write and solve an equation.