Page 577 - Algebra 1

*23. Error Analysis Two students factor the polynomial. Which student is correct? Explain (83) the error.
*24. Tires Atruck’stirehasanoutsideradiusofrinches.Theareaofthesideofthetire, (83) not including the inside rim, is πr2 - 81π inches. What is the diameter of the rim?
r
25. Geometry Graph the quadratic function representing the total surface area of a (84) cube with side length x.
*26. Write Explain why the Pythagorean Theorem cannot be used to find the missing (85) side length c.
c
9
Student A
25x2 -36=(5x-6)2
Student B
25x2 -36=(5x-6)(5x+6)
A 212 inches B 30 inches
12
*27. Formulate One leg of a right triangle is twice the length of the other leg. The length (85) of the hypotenuse is √ 45 centimeters. Let x represent the length of the shorter leg.
Use the Pythagorean Theorem to write and solve an equation to find the length of the legs.
*28. Multiple Choice What is the perimeter of the triangle to the nearest inch? (85)
13
x
5
C 32 inches D 12 inches
*29. Grades The grade a student earns on a project is represented by 6x2 - 11x + 35, (75) where x is the number of hours spent working on the project.
a. Factor the polynomial.
b. What grade is earned when a student works 4 hours on the project?
*30. Multi-Step Write an expression for the area of the square. Then find the (76) area.
6 + √36 meters
6 + √36 meters
562 Saxon Algebra 1