# Download Algebra 2, Student Edition by McGraw-Hill Education PDF By McGraw-Hill Education

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Then state the degree measures of the three angles of the triangle. (Lesson 1-3) 10. bc + (-bc) = 0 ­ÎXÊÊÓ® ( 7 )( 4 ) 4 3 =1 11. _ 1_ ­XÊÊ® ­ÓXÊÊ£® 12. 3 + (x - 1) = (3 + x) + (-1) Solve each equation. Check your solutions. Name the additive inverse and multiplicative inverse for each number. (Lesson 1-2) 6 13. _ 7 4 14. -_ 3 (Lesson 1-4) 24. a + 4 = 3 25. 3x + 2 = 1 26. 3m - 2 = -4 27. 2x + 5 - 7 = 4 28. h + 6 + 9 = 8 29. 5x - 2 - 6 = -3 15. Simplify 4(14x - 10y) - 6(x + 4y).

Three times the difference of a number and 8 A mathematical sentence containing one or more variables is called an open sentence. A mathematical sentence stating that two mathematical expressions are equal is called an equation. EXAMPLE Algebraic to Verbal Sentence Write a verbal sentence to represent each equation. a. n + (-8) = -9 The sum of a number and -8 is -9. n b. _ = n2 6 2A. g - 5 = -2 18 Chapter 1 Equations and Inequalities Andy Lyons/Getty Images A number divided by 6 is equal to that number squared.

Original equation Multiply each side by -_5 , the multiplicative inverse of -_3 . 3 Simplify. The solution is -30. 3 -_ d = 18 CHECK 5 3 -_ (-30) 18 5 18 = 18 ✔ Substitute -30 for d. Simplify. 2 4B. _ y = -18 4A. 29 = 25 EXAMPLE Original equation 3 Solve a Multi-Step Equation Solve 2(2x + 3) - 3(4x - 5) = 22. 2(2x + 3) - 3(4x - 5) = 22 4x + 6 - 12x + 15 = 22 -8x + 21 = 22 -8x = 1 1 x = -_ 8 Original equation Apply the Distributive Property. Simplify the left side. Subtract 21 from each side to isolate the variable.