Multi-Step equations with fractions and decimals

Multi-step equations We have added to the level of difficulty by solving equations with 2 steps, by combining like terms first, and by using the distributive property. Now we increase the difficulty again by solving equations with fractions and decimals.

Example For example: Our steps are the same in this problem. First we add six to both sides, then we multiply both sides by 3/2 and then solve. Let’s try it.

Let’s try +6 +6

Another example Sometimes we have to distribute the fraction like this:

Try This 1.2n + 3.4 = 10 (a + 6) = 2

Try This 1.2n + 3.4 = 10 n = 5.5 (a + 6) = 2

Try This 1.2n + 3.4 = 10 n = 5.5 (a + 6) = 2 a = -5/2

Another example First add 8 to both sides +8 +8 Next multiply both sides by 2 (2) (2) Subtract 14 from both sides and solve. -14 -14 N = 22

Try This

Try This X = 38

Try This X = -38 R = 97

Clear the equation of fractions Multiply each side by the LCM to get rid of the fraction or fractions. Study example #3 on p.346

Agenda 1-21-10 PA#4 P.348 #14-22

Please start Bellwork Quiz HW, red pen, pencil on desk. 1-24-11 Please start Bellwork Quiz HW, red pen, pencil on desk.

Agenda 1-24-11 PA#5 Workbook pages: Show work in spiral notebook p.57 #5-17 odd, p. 58 #1-13 odd, and p.59 #5-15 odd Show work in spiral notebook Quiz tomorrow on Lessons 7-1, 7-2, and 7-3.