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2. Lesson Menu Five-Minute Check (over Lesson 3–4) Main Idea and Vocabulary 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 Concept Summary: Solving Two-Step Equations Example 5:Real-World Example

3. Main Idea/Vocabulary two-step equation Solve two-step equations.

4. Example 1 Solve a Two-Step Equation Solve 4x + 3 = 19. 4x + 3 = 19Write the equation. 4x= 16Simplify. x= 4Simplify. –3 =–3Subtract 3 from each side. Divide each side by 4. Answer: The solution is 4.

5. Example 1 Solve a Two-Step Equation Check 4x + 3 = 19Write the original equation. ? 4(4) + 3 = 19Replace x with 4. 19 = 19 BrainPOP: Two-Step Equations 16 + 3 = 19Simplify. ?

6. 1.A 2.B 3.C 4.D Example 1 Solve 3t – 7 = 14. Check your solution. A. B.7 C.18 D.24

7. Example 2 Solve Two-Step Equations Solve 6 + 5y = 26. Check your solution. 6 + 5y = 26Write the equation. 5y= 20Simplify. y= 4Simplify. –6 = –6Subtract 6 from each side. Divide each side by 5. Answer: The solution is 4.

8. Example 2 Solve Two-Step Equations Check 6 + 5y = 26Write the original equation. ? 6 + 5(4) = 26Replace y with 4. 26 = 26 6 + 20 = 26Simplify. ?

9. 1.A 2.B 3.C 4.D Example 2 A.4 B.5 C.6 D.7 Solve 4 + 2w = 18. Check your solution.

10. Example 3 Solve Two-Step Equations Solve –3c + 9 = 3. Check your solution. –3c + 9 = 3Write the equation. –3c= –6Simplify. c= 2Simplify. –9 = –9Subtract 9 from each side. Divide each side by –3. Answer: The solution is 2.

11. Example 3 Solve Two-Step Equations Check –3c + 9 = 3Write the original equation. ? –3(2) + 9 = 3Replace c with 2. 3 = 3 –6 + 9 = 3Simplify. ?

12. 1.A 2.B 3.C 4.D Example 3 A.–3 B.–1 C.3 D.7 Solve –8k + 7 = 31. Check your solution.

13. Example 4 Solve 0 = 6 + 3t. Check your solution. Solve Two-Step Equations –6 = –6Subtract 6 from each side. Answer: The solution is –2.

14. Example 4 Solve Two-Step Equations Check 6 + 3t = 0Write the original equation. ? 6 + 3(–2) = 0Replace t with –2. 0 = 0 6 – 6 = 0Simplify. ?

15. 1.A 2.B 3.C 4.D Example 4 A.–8 B.2 C.8 D.16 Solve 0 = –4x + 32. Check your solution.

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17. Example 5 PARKS There are 76 thousand acres of state parkland in Georgia. This is 4 thousand acres more than three times the number of acres of state parkland in Mississippi. How many acres of state parkland are there in Mississippi? WordsThree times the number of acres of state parkland in Mississippi plus 4,000 equals 76,000. VariableLet m = the acres of state parkland in Mississippi. Equation3m + 4,000 = 76,000

18. Example 5 3m + 4,000= 76,000Write the equation. Answer: There are 24,000 acres of state parkland in Mississippi. 3m=72,000Simplify. m= 24,000Simplify. –4,000= –4,000Subtract 4,000 from each side. Divide each side by 3.

19. 1.A 2.B 3.C 4.D Example 5 A.16 hits B.36 hits C.56 hits D.72 hits BASEBALL Mathew had 64 hits during last year’s baseball season. This was 8 less than twice the number of hits Gregory had. How many hits did Gregory have during last year’s baseball season?

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21. Resources Five-Minute Check (over Lesson 3–4) Image Bank Math Tools Solving Equations Using Models Perimeter Solving EquationsTwo-Step Equations

22. 1.A 2.B 3.C 4.D Five Minute Check 1 (over Lesson 3-4) A.$18 B.$27 C.$54 D.$36 Solve the problem using the work backward strategy. Miguel spent $6 on fast food. Then he spent $3 on ice cream. After buying some comics, he had $9 left, which was one third of what he had to start with. How much money did Miguel have to start with?

23. 1.A 2.B 3.C 4.D Five Minute Check 2 (over Lesson 3-4) A.$160 B.$80 C.$200 D.$240 Solve the problem using the work backward strategy. Curtis paid $80 on the vet bill for his dog. Then the vet charged him $40 more for his dog’s medicine. If he now owes the vet $120, what was the starting balance on his bill?

24. 1.A 2.B 3.C 4.D Five Minute Check 3 (over Lesson 3-4) A.25 B.16 C.18 D.21 Solve the problem using the work backward strategy. A number is divided by 3. Then 5 is added to the quotient. After subtracting 2, the result is 10. What is the number?

25. 1.A 2.B 3.C 4.D Five Minute Check 4 (over Lesson 3-4) A.16 B.15 C.12 D.8 Dexter and Roshonda shared a pizza. Dexter ate 3 more than twice as many pieces as Roshonda, who ate 3 pieces. If there are 4 pieces left, how many pieces were there initially?

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