Page 457 - Algebra 1

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Geometry The triangle inequality states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Write an inequality for the length of the third side of the triangle.
x
4
4
Multi-Step Mr. Sanchez is planning a business trip. He estimates that he will have to drive 55 miles on one highway, 48 miles on another, and then 72 more miles to arrive at his destination. He starts with 25,000 miles on his car’s odometer and later finds that his estimate was high.
a. Write an inequality to represent the odometer reading at the end of the trip.
b. Solve the inequality.
c. The inequality only considers the greatest amount the odometer could read. Write and solve an inequality for the least it could read.
Error Analysis Two students checked the graph of a system of equations to see if it was consistent and independent, consistent and dependent, or inconsistent. Which student is correct? Explain the error.
Student A
consistent and dependent
Student B
inconsistent
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Newspaper Delivery Mauricio and Aliyya are comparing their newspaper delivery
speeds. Mauricio can deliver y = 65x + 15 papers per hour. Aliyya can deliver
13x - _1 y = -3 papers per hour. Who delivers faster? 5
Verify Wanda determined that the system of equations below has one solution in common. Find the common solution and check your answer.
2y = 4x + 1 y = 8x - 7
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Saxon Algebra 1