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- 1. Multiple Choice
What is the equation of the graph below?f(x) = I x I -1f(x) = I x I +1f(x) = - I x I -1f(x) = -I x I +1 - 2. Multiple ChoiceWhat is the equation of the graph below?f(x) = I x + 2 If(x) = I x + 2 I +2f(x) = I x - 2 I +2f(x) = I x - 2 I
- 3. Multiple Choicey = |x| - 7 makes the graph slide . . .left 7right 7up 7down 7
- 4. Multiple Choicey = |x - 3| makes the graph slide . . .left 3right 3up 3down 3
- 5. Multiple ChoiceEvaluate each expression.
| x + 9 | = -5-14-4{-14, -4}no solution - 6. Multiple Choice∣ 2x + 9 ∣ = 15x = 3x = 3
x = -6x = 3
x = -12x = 6
x = -12 - 7. Multiple Choice−2|−2r − 4| = -12{5,1}{-5,-1}{-5,1}No Solution
- 8. Multiple ChoiceSolve:
|x + 3| > 8x > 5 or x < -11x > 5all real numbersno solution - 9. Multiple ChoiceSolve:
|x + 4| + 8 > 2x < -3 and x > -5/3x < -3 and x > -4all real numbersno solution - 10. Multiple ChoiceSolve.
-5|x - 4| > -20x < 8 and x > 0x > 8 or x < 0all real numbersno solution - 11. Multiple ChoiceSolve:
|x + 4| - 8 > 2x > 6 and x < 10x > 6 or x < -14all real numbersno solution - 12. Multiple ChoiceExpress the following in Interval Notation
-8 ≤ x < 8[-8, 8][-8,8)(-8, 8](-8, 8) - 13. Multiple ChoiceExpress the following interval in Set notation:
(-7, 15]-7 ≤ x ≤ 15-7 < x ≤ 15-7 ≤ x < 15-7 < x < 15 - 14. Multiple ChoiceLook at the graph. Write the inequality in interval notation.(-2,5)(-∞,-2)⋃(5,∞)[-2,5](-∞,-2]∪[5,∞)
- 15. Multiple ChoiceLook at the picture. Which number line corresponds to [-2, 5]?Graph 1Graph 2Graph 3Graph 4
- 16. Multiple ChoiceWhat is the vertex of the absolute value function?(4, 0)(0, 4)(-infinity, infinity)[4, infinity)
- 17. Multiple ChoiceWhat is the domain of the absolute value function?(4, 0)(0, 4)(-infinity, infinity)[4, infinity)
- 18. Multiple Choice
What is the range of this function? You can click on the image to see an enlarged view.
All real numbers
y > -2
y ≥ -2
y > 2
- 19. Multiple Choice
Victor has a goal of making $75 per week at his after-school job. Last month he was within $6.50 of his goal. Write an equation to find the maximum and minimum amounts that Victor might have made last month?
|x - 75|=6.50
|x - 6.50|=750
|x + 75|=6.50
|x + 6.50|=75
- 20. Multiple Choice
A 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 - 0.03|=20
|v - 20|=0.03
|v + 0.03|=20
|v + 20|=0.03
- 21. Multiple Choice
While grilling steaks, Washington likes to keep the grill temperature on 425 degrees Fahrenheit, plus or minus 15 degrees Fahrenheit. Which equation represents this situation?
|t - 425|=15
|t - 15|=425
|t + 425|=15
|t + 15|=425
- 22. Multiple Choice
You 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. What absolute value inequality describes this situation?
| x - 15 | ≤ 50
| x - 50 | ≤ 15
| x - 15 | ≥ 50
| x - 50| ≥ 50
- 23. 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
- 24. Multiple ChoiceFrancisco is looking for a job after graduation. The salary which he is satisfied with must be $3000 with a tolerance of $500. Which of the following inequalities can be used to assess which if his salary is tolerable? (m is the measure of the salary)|m - 500| ≤ 3000|m - 500| ≥ 3000|m - 3000| ≥ 500|m - 3000| ≤ 500
- 25. Multiple Choice3 | d + 1 | - 7 ≥ -1No SolutionAll Real Numbersd ≤ -3 or d ≥ 1-1 < d < 3
- 26. Multiple Choice| x + 3 | ≤ 2No SolutionAll Real Numbers-5 ≤ x ≤ -11 ≤ x ≤ 5
- 27. Multiple Choice
Solve for k:
38 + 7k = 8(k + 4)
k = 6
k = 8
k = -6
k = 1
- 28. Multiple ChoiceSolve and graph.
8a > -136ABCD - 29. Multiple ChoiceSolve:
4(2a + 3) < 3(a - 1)a<-3a>-3a<3a>3 - 30. Multiple Choice2x + 3(5x - 7) = 471234
- Answer choicesTagsAnswer choicesTags