Unit 1 Algebra 1 Solve One and Two Step Equations Lesson 1 Tutorial Video on YouTube at Mandy’s Math World Notes • Assignment Tutorial Video 2 m Name:____________________________________________ Date:________________Period:_________ What About this… Two Step Equations One Step Equations Notes: Solve One & Two Step Equations 1. 𝑥 + 15 = −3 2. 𝑦 + −16 = 9 3. −3𝑚 = −9 4. Use INVERSE OPERATIONS to solve! 𝑥 =7 5 For Fractions, multiply by the RECIPROCAL 5. 1 𝑥 = −1.5 3 3 4 6. − 𝑥 = 9 𝑥 2 7. 2𝑥 + 9 = −7 8. − − 10 = 1 9. 12 = 4 − 𝑛 10. −5 + = −2 PEMDAS 1. Undo ADDITION & SUBTRACTION first! 2. Then undo MULTIPLICATION & DIVISION next! There are assumed parentheses in the numerator. You must “get rid” of what is in the denominator first. In this case, undo the division first, then treat the numerator as a one or two-step equation. 𝑥 3 11. 1 𝑥 + 6 = −3 3 12. 12 = 15 − 𝑥 13. 𝑥+7 = −3 5 14. 𝑦−3 =4 2 15. 𝑚+ −2 −3 16. −7 = = −2 3 4 5+𝑎 4 © mandy’s math world 2020-2021 Name:____________________________________________ Date:________________Period:_________ What About this… Two Step Equations One Step Equations Notes: Solve One & Two Step Equations 1. 𝑥 + 15 = −3 2. 𝑦 + −16 = 9 3. −3𝑚 = −9 4. Use INVERSE OPERATIONS to solve! 𝑥 =7 5 For Fractions, multiply by the RECIPROCAL 5. 1 𝑥 = −1.5 3 3 4 6. − 𝑥 = 9 𝑥 2 7. 2𝑥 + 9 = −7 8. − − 10 = 1 9. 12 = 4 − 𝑛 10. −5 + = −2 PEMDAS 1. Undo ADDITION & SUBTRACTION first! 2. Then undo MULTIPLICATION & DIVISION next! There are assumed parentheses in the numerator. You must “get rid” of what is in the denominator first. In this case, undo the division first, then treat the numerator as a one or two-step equation. 𝑥 3 11. 1 𝑥 + 6 = −3 3 12. 12 = 15 − 𝑥 13. 𝑥+7 = −3 5 14. 𝑦−3 =4 2 15. 𝑚+ −2 −3 16. −7 = = −2 3 4 5+𝑎 4 © mandy’s math world 2020-2021 Name:____________________________________________ Date:________________Period:_________ A.__ Solve One & Two Step Equations Solve each equation for the value of the variable. Show all work. 1. 𝑥 + 4 = 7 2. 𝑎 + −5 = −9 3. 16 + 𝑥 = −34 4. −8 + 𝑦 = 14 5. 𝑚 − −10 = −20 6. 𝑥 = 1.2 −5 𝑛 2 9. 1 𝑧 = −5 3 11. −4 = 𝑥 2 3 12. 3𝑏 = 14. −5 + 6𝑎 = 19 15. 25 = 9𝑥 − 2 17. 2 𝑦 + 12 = 15 7 18. −3 − 𝑥 = 9 19. 25 = −5 + 𝑚 20. 7 𝑥+ 3 21. 5 = −3 − 𝑥 𝑚+7 = −5 3 23. 𝑥+3 5 = 2 2 7. 𝑥 = −2.5 4 1 4 10. − 𝑥 = 8. −22 = 5 2 13. 2𝑥 + 3 = −7 16. 1 𝑥 − 4 = −10 4 2 3 22. −3 = 4 2 3 1 4 1 9 24. 6 = −5+𝑦 −7 Name:____________________________________________ Date:________________Period:_________ What About this… Two Step Equations One Step Equations Notes: Solve One & Two Step Equations 1. 𝑥 + 15 = −3 2. 𝑦 + −16 = 9 3. −3𝑚 = −9 4. Use INVERSE OPERATIONS to solve! 𝑥 =7 5 For Fractions, multiply by the RECIPROCAL 5. 1 𝑥 = −1.5 3 3 4 6. − 𝑥 = 9 𝑥 2 7. 2𝑥 + 9 = −7 8. − − 10 = 1 9. 12 = 4 − 𝑛 10. −5 + = −2 PEMDAS 1. Undo ADDITION & SUBTRACTION first! 2. Then undo MULTIPLICATION & DIVISION next! There are assumed parentheses in the numerator. You must “get rid” of what is in the denominator first. In this case, undo the division first, then treat the numerator as a one or two-step equation. 𝑥 3 11. 1 𝑥 + 6 = −3 3 12. 12 = 15 − 𝑥 13. 𝑥+7 = −3 5 14. 𝑦−3 =4 2 15. 𝑚+ −2 −3 16. −7 = = −2 3 4 5+𝑎 4 © mandy’s math world 2020-2021 Name:____________________________________________ Date:________________Period:_________ A.__ Solve One & Two Step Equations Solve each equation for the value of the variable. Show all work. 1. 𝑥 + 4 = 7 2. 𝑎 + −5 = −9 3. 16 + 𝑥 = −34 4. −8 + 𝑦 = 14 5. 𝑚 − −10 = −20 6. 𝑥 = 1.2 −5 𝑛 2 9. 1 𝑧 = −5 3 11. −4 = 𝑥 2 3 12. 3𝑏 = 14. −5 + 6𝑎 = 19 15. 25 = 9𝑥 − 2 17. 2 𝑦 + 12 = 15 7 18. −3 − 𝑥 = 9 19. 25 = −5 + 𝑚 20. 7 𝑥+ 3 21. 5 = −3 − 𝑥 𝑚+7 = −5 3 23. 𝑥+3 5 = 2 2 7. 𝑥 = −2.5 4 1 4 10. − 𝑥 = 8. −22 = 5 2 13. 2𝑥 + 3 = −7 16. 1 𝑥 − 4 = −10 4 2 3 22. −3 = 4 2 3 1 4 1 9 24. 6 = −5+𝑦 −7 Thank You! Thank you for your purchase and support! Follow me on TpT to see updates and freebies! If you have any questions or suggestions, please email me at mandysmathworld@gmail.com. Feedback makes my products better! You can find Mandy’s Math World online at: Check out these additional products! FREEBIE! FREEBIE! A special THANK YOU to these talented artists! Their work is included in this product! Click the image to be directed to their websites.