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4. The difference of the square of a number and 15 is the same as twice the number. Find the numbers that satisfy the given condition. A 3and 5 B 3 and 5 Land

4. The difference of the square of a number and 15 is the same as twice the number. Find the numbers that satisfy the given condition. A 3and 5 B 3 and 5 Land

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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4. The difference of the square of a number and 15 is the same as twice the number. Find the numbers that satisfy the given condition. С. Заnd -5 A. 3 and 5 B. -3 and 5 D. -3 and -5 _5. Five times the square of a number equals ten times that number. What is the number? В. O or 2 A. O or -2 _6. The square of a number decreased by 15 is ten. What is the number? C. O or -3 D. O or 3 A. 2 or -2 _7. If the area of the square is a2- 2a +1 square units, what is the length of each side? В. З ог -3 C. 4 or -4 D. 5 or -5 A. (a - 2) units B. (a + 2) units C. (a - 1) units D. (a+ 1) units 8. The product of two consecutive integers is 156. Find the integers. A. -11 and -12 or 11 and 12 B. -12 and -13 or 12 and 13 C. -9 and -10 or 9 and 10 _9. The area of a square is numerically equal to three times its perimeter. Find the length of a side of D. -13 and -14 or 13 and 14 the square. A. 4 D. 16 C. 12 10. The area of a square lot is 10 000 square meters, find the length of one side. B. 100 meters _11. What is the measure of one side of the square if its area is x2- 10x +25 square units? B. 8 A. 10 meters C. 1000 meters D. 10 000 meters A. 1 unit B. 10 units D. 25 units B. 5 units _12. The area of a rug is 300 square centimeters. The length of the rug is 5 cm more than its width. What is the width of the rug? A. 5 cm B. 10 cm C. 15 cm D. 20 cm _13. The cube of a number equals 4 times the square of the number. Find the number. A. O or 2 B. O or 4 c. 0 or -4 D. O or 6 _14. The area of the floor of a rectangular room is 140 square feet. The length of the room is 4 feet more than its width. Find the width and length of the room. B. 5 ft and 28 ft C. 7 ft and 20 ft D. 10 ft and 14 ft A. 4 ft and 35 ft _15.A square garden is to be made rectangular. The length of the garden will be increased by 5 units while its width will be decreased by 5 units. What will happen to the area of the garden? A. The area will increase by 10 square units. C. The area will increase by 25 square units. B. The area will decrease by 10 square units. D. The area will decrease by 25 square units.
Transcribed Image Text:4. The difference of the square of a number and 15 is the same as twice the number. Find the numbers that satisfy the given condition. С. Заnd -5 A. 3 and 5 B. -3 and 5 D. -3 and -5 _5. Five times the square of a number equals ten times that number. What is the number? В. O or 2 A. O or -2 _6. The square of a number decreased by 15 is ten. What is the number? C. O or -3 D. O or 3 A. 2 or -2 _7. If the area of the square is a2- 2a +1 square units, what is the length of each side? В. З ог -3 C. 4 or -4 D. 5 or -5 A. (a - 2) units B. (a + 2) units C. (a - 1) units D. (a+ 1) units 8. The product of two consecutive integers is 156. Find the integers. A. -11 and -12 or 11 and 12 B. -12 and -13 or 12 and 13 C. -9 and -10 or 9 and 10 _9. The area of a square is numerically equal to three times its perimeter. Find the length of a side of D. -13 and -14 or 13 and 14 the square. A. 4 D. 16 C. 12 10. The area of a square lot is 10 000 square meters, find the length of one side. B. 100 meters _11. What is the measure of one side of the square if its area is x2- 10x +25 square units? B. 8 A. 10 meters C. 1000 meters D. 10 000 meters A. 1 unit B. 10 units D. 25 units B. 5 units _12. The area of a rug is 300 square centimeters. The length of the rug is 5 cm more than its width. What is the width of the rug? A. 5 cm B. 10 cm C. 15 cm D. 20 cm _13. The cube of a number equals 4 times the square of the number. Find the number. A. O or 2 B. O or 4 c. 0 or -4 D. O or 6 _14. The area of the floor of a rectangular room is 140 square feet. The length of the room is 4 feet more than its width. Find the width and length of the room. B. 5 ft and 28 ft C. 7 ft and 20 ft D. 10 ft and 14 ft A. 4 ft and 35 ft _15.A square garden is to be made rectangular. The length of the garden will be increased by 5 units while its width will be decreased by 5 units. What will happen to the area of the garden? A. The area will increase by 10 square units. C. The area will increase by 25 square units. B. The area will decrease by 10 square units. D. The area will decrease by 25 square units.
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