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Name __________________________________ Date ___________________ Practice Worksheet LESSON 2.5 Complete the logical argument by giving a reason for each step. 1. 8x–34 = 6 Given 8x = 40 a. _____ x=5 b. _____ Solve the equation. Write a reason for each step. 5. x + 18 = 7 6. 5x = 4x + 8 2. 4x – 7 = 6x + 7 –2x – 7 = 7 Given a. _____ –2x = 14 b. _____ x = –7 c. _____ 7. 7x – 9 = 4x 8. 6x + 11 = 5x – 3 3. 5(x – 3) = 4(x + 2) 5x – 15 = 4x + 8 Given a. _____ 9. 7x – 11 = 4x + 19 x – 15 = 8 x = 23 b. _____ c. _____ 10. 14x + 3 = 19x + 23 1 y–9 7 1 x+9= y 7 7x + 63 = y 4. x = y = 7x + 63 Given a. _____ b. _____ c. _____ 11. 4(2x+ 11) = 76 Solve the equation for a. Write a reason for each step. 12. a – 3b = b + 7 13. 4a + b = 5b + 28 Use the property to complete the statement. 14. Addition Property of Equality: if RS = TU, then RS + 20 = _____. 15. Multiplication Property of Equality: If m 1 = m 2, then 3m 1 = _____. 16. Substitution Property of Equality: If a = 20, then 5a = _____. 17. Reflexive Property of Equality: If x is a real number, then x = _____. 18. Symmetric Property of Equality: If AB = CD, then CD = _____. 19. Transitive Property of Equality: If m E = m F and m F = m G, then _____. 20. Windows The bottom section of the window pictured swings outward from the bottom to open in the style of an awning. a. Use the diagram and your knowledge of linear pairs to write an equation that relates a sum of two angle measures to 180°. b. Solve the equation for m DAC. c. Find mDAC when mBAC = 112°.