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Mathematics
9th -
12thgrade
Absolute Value Inequalities and Word Problems
10 questions
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- 1. Multiple Choiceno solutiona> -1/6 or a< -5/6a>1/2 or a< -3/2all real numbers
- 2. Multiple Choiceno solutionx > 2 or x < -22-22 < x < 2all real numbers
- 3. Multiple Choicer > 11/4 or r < 9/4r > 5 or r ≤ 0r > 5 or r < 0r < -5 or r > 0
- 4. Multiple ChoiceThe radius of the gears produced at a factory must be 6 inches in length with a tolerance of 0.1 inches. The gears with radius beyond the tolerated lengths will be thrown away. Which of the following inequalities can be used to assess which gears are eligible? (x is the length of the radius)|x – 6| ≤ 0.1|x – 6| ≥ 0.1|x – 0.1| ≤ 6|x – 0.1| ≥ 6
- 5. Multiple ChoiceYour have money in your wallet, but you don't know the exact amount. When a friend asks you, you say that you have 50 dollars give or take 15. Write an absolute value equation to model this situation.|x-50|=15|x+15|=50|50+x|=15No Solution
- 6. Multiple ChoiceA company sells 20-ounce bottles of sports drink. The actual volume of liquid in the bottle must be within 0.03 ounces. What equation can be solved to find the minimum and maximum volume of liquid in a bottle.|v|-20=0.03|v-20|=0.03|v|-0.03=20|v-0.03|=20
- 7. Multiple Choice
The street built in the city must be 25 feet in width with a tolerance of 0.5 feet. Streets that are not within the tolerated widths must be repaired. Which street width below would NOT have to be repaired?
24 feet, 10 inches
24 feet, 3 inches
25 feet, 7 inches
25 feet, 11 inches
- 8. Multiple ChoiceJohn is looking for a job after graduation. The salary which he is satisfied with must be $3000 with a tolerance of $500. Choose the salary John would accept.$3,478$3,792$2,489$2,256
- 9. Multiple ChoiceSolve:
3 | 2x + 7| - 7 < -4x < -3 and x > -5/3x < -3 and x > -4all real numbersno solution - 10. Multiple ChoiceSolve.
|d + ⅔| + ¾ = 0no solutiond = -9 or ½d = -¾ or d = 9d = -1/12 or d = -7/12 - Answer choicesTagsAnswer choicesTags