3-102. Copy and complete each of the Diamond Problems below. The pattern used in the Diamond Problems is shown at right. 3-103. Joe is downloading songs from the Internet. He can download them at a rate of 8 songs every 10 minutes. Jasmine, who is also downloading songs, can download at a rate of 12 songs every 15 minutes. Who is downloading songs faster? What is the unit rate (songs per minute) for each person? 3-104. For the following equations, simplify and solve for the variable. Show all work and check your solution, if possible. + 2 = x a. −2 + = −x b. −(x − 1) −4x − 2 c. 2 + 3x = 3x + 2 + 6) = d. −(−x −3x Use your pattern-finding skills to copy and complete the table below. 3-105. a. Explain the pattern you found in your table. How are and related? x y b. Write the rule you described in part (a) with algebraic symbols.
3-102. Copy and complete each of the Diamond Problems below. The pattern used in the Diamond Problems is shown at right. 3-103. Joe is downloading songs from the Internet. He can download them at a rate of 8 songs every 10 minutes. Jasmine, who is also downloading songs, can download at a rate of 12 songs every 15 minutes. Who is downloading songs faster? What is the unit rate (songs per minute) for each person? 3-104. For the following equations, simplify and solve for the variable. Show all work and check your solution, if possible. a. −2 + x = −x + 2 b. −(x − 1) = −4x − 2 c. 2 + 3x = 3x + 2 d. −(−x + 6) = −3x 3-105. Use your pattern-finding skills to copy and complete the table below. a. Explain the pattern you found in your table. How are x and y related? b. Write the rule you described in part (a) with algebraic symbols.
3.2.4_Homework_Questions.docx