Page 530 - Algebra 1

15. Error Analysis Two students solve 8p - 7 ≤ 3p + 18. Which student is correct? (77) Explain the error.
16. Geometry The triangle inequality theorem states that the sum of any two sides of a (77) triangle must be greater than the third side. A triangle has sides 4g + 10, 3g - 13,
and 46 as the longest side. Therefore, (4g + 10) + (3g - 13) > 46. Solve for g.
17. Multi-Step You can hike the trails at 2.5 miles per hour. You break for 1 hour to rest (77) and eat lunch. You want to hike at least 15 miles. To find the number of hours you
will hike, solve the inequality 2.5(h - 1) ≥ 15.
18. Error Analysis Students were asked to find the product of √ 2(7 + √ 14). Which
(76) student is correct? Explain the error.
*19. Art Michael is submitting his first painting to the county fair art show. His (76) painting has a side length of 7 + √ 32 inches and a width of 9 + √ 50 inches.
What is the area of Michael’s painting?
20. Verify Show that 10x2 - 11xy - 6y2 = (2x - 3y)(5x + 2y).
(75)
21. Multiple Choice Which expression is the factored form of 20x2 + 49x + 9? (75) A(10x+3)(2x+3)
B (20x+3)(x+3) C (5x+1)(4x+9) D (5x+9)(4x+1)
Student A
8p - 7 ≤ 3p + 18 5p - 7 ≤ 18
5p ≤ 25 p≤5
Student B
8p - 7 ≤ 3p + 18 -7 ≤ -5p + 18
-25 ≤ -5p 5≤p
Student A
√ 2(7 + √ 14 ) √ 14 + √ 28 √ 14 + 2√ 7
Student B
√ 2(7 + √ 14) 7√ 2 + √ 28 7 √ 2 + 2 √ 7
Measurement The area of a rectangular tray is represented by 4x2 - 16x + 16 23. Solve ⎢n = 12.
3 4 22.
(75) square inches. Evaluate the expression for x = -3.
(74)
24. Dining A restaurant offers discounted meals to children 12 years old and under or (73) to senior citizens who are at least 65 years old. Write a compound inequality that
represents this situation.
Lesson 78 515