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3.3 Day 1 Solving Multi-Step Equations, p124 Warm Up 1. 3x = 102 y 2. 15 = 15 3. z – 100 = 21 4. 1.1 + 5w = 98.6 AF4.1 Solve two-step linear equations…in one variable over the rational numbers, interpret the solution…in the context… & verify the results. Also: AF1.1 LO: I will use rational number strategies, skills and concepts to evaluate multi-step equations. •Simplify the equation by combining like terms. 8x + 6 + 3x – 2 = 37 •If an equation contains fractions- multiply both sides of the equation by the least common denominator (LCD) to clear the fractions before you isolate the variable. 2n + 3 = – 1 4 4 4 1. 3. 4. *Remember-If an equation contains fractions, multiply both sides of the equation by (LCD) to clear the fractions BEFORE you isolate the variable. 5. Real Life Application 6. A student has two test scores of 83 and 60. Find what the student would have to score on a third test to average 90. * Remember: Use LCM to clear the equation of fractions. 1st ______________________ each side by the LCD, ___ to clear the equation of the _______________________. 2nd Isolate the variable. The student would have to score ____ on a third test to average 90. Day 1- 3.3 RM & 3.3 SR p127 #41-48even Real Life Application 7. 8. The sum of three consecutive integers is 96. Find the integers. Let n = the least integer, so n +1= the second integer, and n +2= the third integer. n + (n + ) + (n + ) = 96 Use ___________________________ Property and ____________________________ Property of Addition to group like terms together. Combine like terms. Undo to isolate the variable. 9. 12. 11. 10. 13. 14. *Remember- If an equation contains fractions, multiply both sides of the equation by (LCD) to clear the fractions BEFORE you isolate the variable. 15. 9x + 5 + 4x – 2 = 42 17. 5x 9 + x – 13 = 1 3 9 3 16. 3n + 5 = – 1 4 4 4 18. x 7x + 2 9 – 17 9 = 2 3 19. 6x + 3x – x + 9 = 33 20. 5 + x = 33 8 8 8 21. Linda is paid double her normal hourly rate for each hour she works over 40 hours in a week. Last week she worked 52 hours and earned $544. What is her hourly rate? 22. Yesterday, Penelope rode her scooter m miles in 3 hours. Today, she rode twice as far in 7 hours. If her average speed for two days is 20 mi/h, how far did she ride on Saturday? Round your answer to the nearest tenth of a mile. Penelope’s average speed is her total distance for the two days divided by the total time. Total distance Total time = average speed Day 2- 3.3 p126 #12, 18, 26, 28, 36 & 38 remember to show work!