Page 651 - Algebra 1

*15. Error Analysis Two students solve the equation 6⎪x + 3⎢ - 8 = -2. Which student is (94) correct? Explain the error.
Student A
6⎪x + 3⎢ - 8 = -2 no solution
Absolute values cannot equal a negative number.
Student B
6⎢x + 3 - 8 = -2
6⎢x + 3 = 6
⎢x + 3 = 1
x + 3 = 1 and x + 3 = -1
x = -2 and x = -4
16. Geometry The perimeter of a square must be 34 inches plus or minus 2 inches. (94) What is the longest and the shortest length each side can be?
*17. Multi-Step A student budgets $35 for lunch and rides each week. He gives his friend (94) $5 for gas and then pays for 5 lunches a week. He has a $2 cushion in his budget,
meaning that he can spend $2 more or less than he budgeted.
a. Write an absolute-value equation for the minimum and maximum he can spend
on each lunch.
b. What is the maximum and the minimum h_e can spend on each lunch?
18. Error Analysis Students were asked to simplify x2 + 10x + 24 . Which student is correct?
(93) Explain the error.
3 4 23.
21. Multiple Choice Simplify: x - 5x + 6 .
(92)
A 1
22. Solve and graph the inequality ⎢x > 17.
(91)
(x - 3) _
_2 _2
x2 +5x+6 _x2 - 4
(x - 3)2 B (x-2)2
C -1
D (x-2)
x
Student A
(x + 6)(x + 4) = (x + 6)(4) __
x
Student B
(x + 6)(x + 4) __
x
*19. Carpeting The rectangular public library is getting new carpet. The area of the
(93) room is (x3 - 18x2 + 81x) square feet. The length of the room is (x - 9) feet. What
is the width?
*20. Justify Give an example to show _a · _c = _ac .
(92) _b d bd x-9
Measurement When measuring something in centimeters, the accuracy is within (91) 0.1 centimeter. A board is measured to be 15.6 centimeters. The accuracy of the
measurement can be represented by the absolute-value inequality ⎢x - 15.6 ≤ 0.1. Solve the inequality.
636 Saxon Algebra 1