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Lesson Menu. Main Idea and New Vocabulary NGSSS Example 1: Solve a Two-Step Equation Example 2: Solve Two-Step Equations Example 3: Solve Two-Step Equations Example 4: Solve Two-Step Equations Key Concept: Solving Two-Step Equations Example 5: Real-World Example: Solve Two-Step Equations

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  1. Lesson Menu Main Idea and New Vocabulary NGSSS Example 1: Solve a Two-Step Equation Example 2: Solve Two-Step Equations Example 3: Solve Two-Step Equations Example 4: Solve Two-Step Equations Key Concept: Solving Two-Step Equations Example 5: Real-World Example: Solve Two-Step Equations Five-Minute Check

  2. Solve two-step equations. • two-step equation Main Idea/Vocabulary

  3. MA.7.A.3.3Formulate and use different strategies to solve one-step and two-step linear equations, including equations with rational coefficients. Also addresses MA.7.A.3.2. NGSSS

  4. Division Property of Equality Solve a Two-Step Equation Solve 4x + 3 = 19. Check your solution. 4x + 3= 19 Write the equation. – 3 = – 3 Undo the addition first by subtracting 3 from each side. 4x = 16 x = 4 Simplify. Answer: The solution is 4. Example 1

  5. ? 4(4) + 3= 19 Replace x with 4. Solve a Two-Step Equation Check 4x + 3= 19 Write the original equation.  19= 19 The sentence is true. Example 1

  6. A.0 B.1 C. D.8 Solve 3z + 1 = 4. Check your solution. Example 1 CYP

  7. Division Property of Equality Solve Two-Step Equations Solve 6 + 5y = 26. Check your solution. 6 + 5y = 26 Write the equation. – 6 = – 6 Undo the addition first by subtracting 6 from each side. 5y = 20 y = 4 Simplify. Answer: The solution is 4. Example 2

  8. ? 6 + 5(4)= 26 Replace y with 4. Solve Two-Step Equations Check 6 + 5y= 26 Write the original equation.  26= 26 The sentence is true. Example 2

  9. Solve 7 + 3y = 16. Check your solution. A. 27 B. 26 C. –3 D. 3 Example 2 CYP

  10. Division Property of Equality Solve Two-Step Equations Solve −3c + 9 = 3. Check your solution. –3c + 9= 3 Write the equation. – 9 = – 9 Undo the addition first by subtracting 9 from each side. –3c = –6 c = 2 Simplify. Answer: The solution is 2. Example 3

  11. ? –3(2) + 9= 3 Replace c with 2. Solve Two-Step Equations Check –3c + 9= 3 Write the original equation.  3= 3 The sentence is true. Example 3

  12. A.7 B.–7 C.3 D. Solve −d + 5 = 2. Check your solution. Example 3 CYP

  13. Solve Check your solution. Write the equation. –6= t Multiplication Property of Equality (3)(–6)= (3) t 1 1 3 3 Solve Two-Step Equations – 6 = – 6 Undo the addition first by subtracting 6 from each side. –18= t Simplify. Answer: The solution is –18. Example 4

  14. Write the original equation. ? Replace t with –18. 0= 6 + (–18) 1 3 Solve Two-Step Equations Check  0= 0 The sentence is true. Example 4

  15. Solve Check your solution. A. 20 B. 16 C. 12 D. 3 Example 4 CYP

  16. Key Concept

  17. Solve Two-Step Equations FINANCIAL LITERACY Luis’s cell phone plan costs $39 per month. Text messages cost an additional $0.15 each. If Luis’s cell phone bill last month totaled $55.05, how many text messages did he send? Example 5

  18. Solve Two-Step Equations Example 5

  19. Division Property of Equality Solve Two-Step Equations 39 + 0.15t = 55.05 Write the equation. – 39 = – 39 Subtract 39 from each side. t = 107 Simplify. Answer: Luis sent 107 text messages. Example 5

  20. ? 39 + 0.15(107) = 55.05 Replace t with 107. ? 39 + 16.05= 55.05 Solve Two-Step Equations Check 39 + 0.15t= 55.05 Write the original equation.  39 + 16.05= 55.05 Example 5

  21. TENNIS Shannon’s tennis club membership costs $20.00 per month. In addition, she pays $8.00 for court rental every time she plays. If her bill for this month was $52.00, how many times did she play tennis? A. 24 times B. 9 times C. 4 times D. 3 times Example 5 CYP

  22. Solve 4x + 8 = 32. A. 6 B. 10 C. 20 D. 96 Five Minute Check 1

  23. Solve 15 – 3a = 45. A. –10 B. 10 C. 20 D. 90 Five Minute Check 2

  24. A.70 B.52 C.11 D. Solve –9 + 7x = 68. Five Minute Check 3

  25. Solve –18 = –2m –68. A. 52 B. 43 C. 25 D. –25 Five Minute Check 4

  26. A.22 B.6 C.–6 D. Four less than six times a number is 32. Find the number. Five Minute Check 5

  27. Daryl can cut 3 lawns in an hour. How many hours will it take him to cut 27 lawns? A. 30 hours B. 24 hours C. 15 hours D. 9 hours Five Minute Check 6

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