Page 564 - Algebra 1

*24. Error Analysis Beth claims that the inequality 12x + 67 ≥ 52 + 5x + 15 is always (81) true for any value of x. Is Beth correct? Explain the error.
25. Finances Chad works 20 hours each week. Juan works 10 hours and makes an (81) additional $50 in tips each week. They both get paid the same amount per hour.
How much money do they each have to earn per hour for Chad to make more money than Juan?
26. Error Analysis Two students solve the following compound inequality. Which (82) student is correct? Explain the error.
*27. Multi -Step Yvonne learns that a refrigerator should be kept at a temperature of no (82) more than 40°F but warmer than 32°F.
a. Write an expression to show the possible range of proper refrigerator temperatures.
b. Yvonne tests the temperatures of some refrigerators at an appliance store. The first 4 temperatures are 35°, 40°, 20°, and 45°. What should the last temperature be if the average of the temperatures is within the proper temperature range?
*28. Justify Solve the inequality 28 < 2(x + 3) < 42 and justify each step. (82)
*29. Multiple Choice Which expression is a perfect-square trinomial?
Student A
10 < - 2x + 2 < 16 -4 < x < -7
Student B
10 < -2x + 2 < 16 -4 > x > -7
(83) A 9x2 + 49
C 6x2 +48x-96
B 64x2 - 100
D 49x2 -28x+4
A square storage shed sits in the corner of a square deck that
*30. Home Improvement
(83) has a side length of s feet. The shed has a side length of 8 feet. Harper wants to
apply a coat of paint to the deck. Write and factor an expression to find the area of the deck Harper will paint, not including the storage shed.
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