1.1 Integers and Rational Numbers

www.ck12.org Chapter 11. More on Linear Functions2(4) + 3y = 12 ⇒ 3y = 12 − 8 ⇒ 3y = 4 ⇒ y = 4 3 . Nimitha can buy 1 1 3pounds of cherries.Example 5: Jethro skateboards part of the way to school and walks for the rest of the way. He can skateboardat 7 miles per hour and he can walk at 3 miles per hour. The distance to school is 6 miles. Write an equation instandard form that describes this situation. If Jethro skateboards for 1 2an hour, how long does he need to walk toget to school?Solution: Define the variables: x = hours Jethro skateboards and y = hours Jethro walksThe equation that describes this situation is 7x + 3y = 6.If Jethro skateboards 1 2hour, we substitute x = 0.5 in the equation and solve for y.7(0.5) + 3y = 6 ⇒ 3y = 6 − 3.5 ⇒ 3y = 2.5 ⇒ y = 5 6 . Jethro must walk 5 6of an hour.Practice SetSample explanations for some of the practice exercises below are available by viewing the following video. Notethat there is not always a match between the number of the practice exercise in the video and the number of thepractice exercise listed in the following exercise set. However, the practice exercise is the same in both. CK-12 Basic Algebra:Linear Equations inStandard Form (10:08)MEDIAClick image to the left for more content.1. What is the standard form of a linear equation? What do A,B, and C represent?2. What is the meaning of clear the fractions? How would you go about doing so?219