2. Solving One Step Equations with Decimals Example 1 x + 4.9 = 8.6 - 4.9 - 4.9 3.7 x = 3.7 Check: x + 4.9 = 8.6 Does 3.7 + 4.9 = 8.6? 8.6 = 8.6 Subtract 4.9 from BOTH sides to isolate x. Original equation Solution Check your work to see if your answer is correct! Example 2 3x = 8.1 3 3 x = 2.7 Check: 3x = 8.1 Does 3(2.7) = 8.1? 8.1 = 8.1 Divide (inverse operation) both sides by 3 to isolate the x. Original equation Solution Yes, it does Check your work to see if your answer is correct! 7 1

3. Solving One Step Equations with Decimals Example 3: y = 1.5 5 y = 1.5 5 1 y = 1.5 5 1 1.5(5) = y(1) 7.5 = 1y 7.5 = y or y = 7.5 Cross multiply Original equation Check: y = 1.5 5 7.5 = 1.5 5 1.5 = 1.5 Original equation Substitute your answer to check to see if the two sides are equal. Put 1.5 over one to make it a fraction. Solution

4. Solving One Step Equations with Decimals Try these: Show all work and check your solutions. 1.) k – 6.2 = 9.5 2.) 6y = 7.2 3.) 0.6 = x 7 Check: Check: Check:

5. Solving One Step Equations with Decimals Real-Life Application The area on the floor in Bobby’s room is 28 square meters. If its length is 3.5 meters, what is the width of the bedroom? Set up and solve an equation to find the answer.