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Algebra 1 L2 Ch. 10 Word Problems Practice

Factoring Word Problems 1. A 2 feet wide stone path is to be built along each side of a rectangular flower garden. The length of the garden is twice the width. Write an expression in standard form that represents the area of the path. (Note: this question involves writing an expression only, not solving.)

2. A rectangular sheet of paper has area 55 in2 . Its dimensions are (x + 1) inches by (x -5) inches. Find x and the dimensions of the sheet of paper.

3. The length of a rectangle is 4 inches more than its width, and the rectangle’s area is 60 square inches. What are the dimensions of the rectangle?

4. The length of a rectangle is 2 feet more than twice its width, and the rectangle’s area is 144 square inches. Find the dimensions of the rectangle.

5. Mrs. McGrath is planting a vegetable garden. Its length is 3 feet less than twice its width. Its area is 170 square feet. Find the dimensions of the vegetable garden.

6. The base of a triangle is 5 centimeters longer than its altitude (height). If the area of the triangle is 12 square centimeters, what is the altitude (height)?

7. The altitude of a triangle is 5 centimeters shorter than its base. If the area of the triangle is 25 square centimeters, what is the length of the base?

8. The length the classroom is 10 feet more than its width. The area of the room is 875 square feet. Find its dimensions.

9. A rectangular photograph is 4 inches long and 6 inches wide. The length and width of the photo are increased by the same amount, doubling the total area. What are the dimensions of the new photo?

10. A golf ball is hit straight up from the ground with an initial velocity of 180 ft/sec. Its height in feet is modeled by the equation h = −16t 2 + vt + s . When does the golf ball hit the ground? Hint: Use the quadratic formula.

Answers: 1) 12w+16 2) x=10, 11x5 5) w=10, 10x17 6) h=3 7) b=10

3) w=6, 6x10 8)w=25, 25x35

4)w=8, 8x18 9)x=2, 6x8 10) 11.28 sec