- 9 times the side of one square exceeds (#3248)
9 times the side of one square exceeds the perimeter of the second square by 1 metre and 6 times the area of the second square exceeds 29 times the area of the first by 1 square ...
solving systems of equations, systems of equations, solving equations, systems, equations
- A chemical plant is rectangular and has a length (#1721)
A chemical plant is rectangular and has a length of a hundred meters and a width of sixty meters. A safety zone of uniform width surrounds the plant. if the area of the safety zone equals the area of the ...
solving systems of equations, systems of equations, solving equations, systems, equations
- A company borrowed 600,000 for one year (#2375)
A company borrowed 600,000 for one year. Part was at 8% interest, part was at 10% interest rate. How much at each rate if annual interest is $53...
systems of equations, solving systems of equations, systems, equations, solving equations
- A rectangle`s width is 4 times the length (#3542)
A rectangle's width is 4 times the length. The perimeter is 30 ...
solving systems of equations, systems of equations, solving equations, systems, equations
- A rectangular garden is 5 feet longer (#3477)
A rectangular garden is 5 feet longer than twice its width. It has a sidewalk 3 feet wide on two of its sides. The area of the sidewalk is 213 square ...
systems, solving systems of equations, systems of equations, polynomials, solving equations, equations
- A rectangular patio is 7 ft longer (#1448)
A rectangular patio is 7 ft longer than it is ...
solving systems of equations, systems of equations, solving equations, systems, equations
- Alvin is 15 years older than Elga (#3370)
Alvin is 15 years older than Elga. The sum of their ages is 85...
equations, solving systems of equations, systems of equations, solving equations, systems
- Andres and Biloy working together (#921)
Andres and Biloy, working together, can build a chicken house in 6 2/3 hours. Andres became ill after 3 hours of working with Biloy, and Biloy finished the job, continuing to work alone in 8 1/4 more ...
solving systems of equations, systems of equations, solving equations, systems, equations, work rate, rate
- Aprroximately 4.5 million wrecked cars (#233)
Aprroximately 4.5 million wrecked cars are recycled in two consecutive years. There were 700,000 more recycled the second year than the first ...
solving equations, equations, systems of equations, systems, solving systems of equations
- Jurassic Park charges $20 for adults (#3468)
Jurassic Park charges $20 for adults and $12 for children. Total bill for 454 people was $3860...
systems, polynomials, solving systems of equations, systems of equations, solving equations, equations
- One positive integer is 8 less (#816)
One positive integer is 8 less than twice another and the sum of their squares is 244
equations, systems of equations, solving quadratic equations, solving systems of equations, quadratic equations, solving equations, systems
- Ruby is 6 years younger than Carlo (#3274)
Ruby is 6 years younger than Carlo. The average of their ages now, is twice Ruby's age 5 years ...
solving systems of equations, systems of equations, solving equations, systems, equations
- Rudy must play 12 commercials (#3521)
Rudy must play 12 commercials during his 1-hr radio show. Each commercial is either 30 sec or 60 sec long. If the total commercial time during that hour is 10 ...
equations, solving systems of equations, systems of equations, solving equations, systems
- Simone has 16 player on her soccer team (#121)
Simone has 16 player on her soccer team. There are 6 more boys than ...
systems of equations, solving systems of equations, systems, equations, solving equations
- The area of a triangle (#3232)
The area of a triangle is 30in2. The base of the triangle measures 2 in. more than twice the height of the ...
systems of equations, solving systems of equations, triangles, polygons, shapes, plane figures, curves, solving equations, systems, equations
- The hypotenuse of a right triangle (#2792)
The hypotenuse of a right triangle is 16 in. longer than the shortest side and 2 in. longer than the
remaining ...
right triangles, triangles, polygons, shapes, plane figures, curves, solving systems of equations, solving equations, systems of equations, equations, systems
- The length of a certain rectangle (#3290)
The length, L, of a certain rectangle is four feet more than three times its width, W. The perimeter of the rectangle is 88 ...
solving systems of equations, rectangles, perimeter, shapes, plane figures, systems of equations, solving equations, systems, equations
- The length of a rectangle is 2 feet more (#1401)
The length of a rectangle is 2 feet more than twice the width. The perimeter of the rectangle is 40 square feet. Find the length and width of the rectangle. (Hint: First write the length using an algebraic expression that contains width)
solving equations, systems of equations, solving systems of equations, systems, equations
- The perimeter of a court is 108 meters (#3526)
The perimeter of a court is 108 meters. If the length is 6 meters longers than twice the ...
equations, systems of equations, systems, solving equations, solving systems of equations
- The perimeter of a rectangular (#3046)
The perimeter of a rectangular lawn is 24m. If the area of the lawn is 35m2...
perimeter, shapes, solving equations, systems of equations, equations, systems, solving systems of equations
- The side of a square house is 24 ft long (#1913)
The side of a square house is 24 ft long, and the house is located on a lot which is 50 ft longer than it is wide. The perimeter of the lot is 20 ft more than 5 times the perimeter of the ...
solving systems of equations, systems of equations, solving equations, equations, systems
- The sum of the squares (#928)
The sum of the squares of two consecutive positive numbers is 61...
systems of equations, consecutive integers, solving equations, solving systems of equations, equations, systems, integers, number sense, numbers
- The sum of the squares of the two (#1053)
The sum of the squares of the two larger of three consecutive even integers is 12 less than 4 times the square of the smaller ...
polynomials, consecutive integers, solving systems of equations, systems of equations, solving equations, systems, equations, integers, number sense, numbers
- The sum of the squares of two consecutive (#1895)
The sum of the squares of two consecutive negative even integers is 100...
greatest common factor, solving equations, equations, systems, systems of equations, solving systems of equations
- The total proceeds from a used book sale (#3528)
The total proceeds from a used book sale were $115. A total of 65 books were sold. The books were priced at $1.50 and $2.00 each. How many books were sold for $1...
systems, solving systems of equations, systems of equations, equations, solving equations
- There are a total of 126 cats and dogs (#2691)
There are a total of 126 cats and dogs at an animal shelter. For every 5 dogs, there are 4 ...
solving equations, systems, systems of equations, equations, solving systems of equations
- Three consecutive even integers (#1447)
Three consecutive even integers are such that the square of the third is 100 more than the square of the ...
consecutive numbers, consecutive integers, solving systems of equations, systems of equations, solving equations, systems, equations, integers, number sense, numbers
- Tickets to a movie cost (#1165)
Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75...
solving equations, solving systems of equations, systems, systems of equations, equations
- Two houses are for sale on the same street (#3503)
Two houses are for sale on the same street. The second house has 1000 square feet less than twice the square feet of the first house. Together the houseshave 4400 square ...
solving systems of equations, systems of equations, solving equations, systems, equations
- Two rental airplanes were flown (#2169)
Two rental airplanes were flown a total of 54 hours in one month. One plane rents for $105/h, and the other rents for $130/h. The total income from the two planes was $6570...
systems of equations, systems, equations, solving systems of equations, solving equations
- You are selling tickets to a high school play (#2760)
You are selling tickets to a high school play. Student tickets cost $5 and general admission tickets cost $8. you sell 566 tickets and collect $3797...
solving equations, equations, solving systems of equations, systems of equations, systems
