1. Pre-Algebra Multi-Step Equations With Fractions and Decimals Solve p – 7 = 11. Lesson 7-3 p – 7 = 11 3434 Add 7 to each side.p – 7 + 7 = 11 + 7 3434 Simplify. p = 18 3434 p = 3434 4343 4343 18Multiply each side by, the reciprocal of. 3434 4343 1p = 4 18 3 1 6 Divide common factors. p = 24Simplify. 3434 Additional Examples

2. Pre-Algebra Multi-Step Equations With Fractions and Decimals (continued) Lesson 7-3 Check: p – 7 = 11 (24) – 7 11Replace p with 24. Simplify. 18 – 7 11 11 = 11 3434 3434 – 7 11 Divide common factors. 3 24 4 1 6 Additional Examples

3. Pre-Algebra Multi-Step Equations With Fractions and Decimals Solve y + 3 =. Lesson 7-3 y + 3 = 1212 2323 Multiply each side by 6, the LCM of 2 and 3. 6y + 3 = 1212 6 2323 3y + 18 – 18 = 4 – 18Subtract 18 from each side. 3y = –14Simplify. 3y + 18 = 4Simplify. Use the Distributive Property. 6 y + 6 3 = 1212 6 2323 Divide each side by 3. 3y33y3 –14 3 = Simplify.y = –4 2323 2323 1212 Additional Examples

4. Pre-Algebra Multi-Step Equations With Fractions and Decimals Lesson 7-3 Suppose your cell phone plan is $30 per month plus $.05 per minute. Your bill is $36.75. Use the equation 30 + 0.05x = 36.75 to find the number of minutes on your bill. There are 135 minutes on your bill. 30 + 0.05x = 36.75 x = 135Simplify. 30 – 30 + 0.05x = 36.75 – 30Subtract 30 from each side. 0.05x = 6.75Simplify. Divide each side by 0.05.= 6.75 0.05 0.05x 0.05 Additional Examples