8 Chapter 1Solving Linear Equations Dynamic Solutionsavailable at BigIdeasMath.comExercises1.1Monitoring Progress and Modeling with MathematicsMonitoring Progress and Modeling with MathematicsIn Exercises 5–14, solve the equation. Justify each step. Check your solution. (See Example 1.)5. x + 5 8 6. m + 9 27.y 4 3 8. s 2 19. w + 3 4 10. n 6 711.14 p 11 12. 0 4 + q13.r + (8) 10 14. t (5) 915. MODELING WITH MATHEMATICS A discounted amusement park ticket costs $12.95 less than the original price p. Write and solve an equation to nd the original price.16. MODELING WITH MATHEMATICS You and a friend are playing a board game. Your nal score x is 12 points less than your friend’s nal score. Write and solve an equation to  nd your nal score.ROUND9ROUND10FINALSCOREYour FriendYouUSING TOOLS The sum of the angle measures of a quadrilateral is 360. In Exercises 17–20, write and solve an equation to  nd the value of x. Use a protractor to check the reasonableness of your answer.17. 18. x°150°77°48°19. 20. In Exercises 21–30, solve the equation. Justify each step. Check your solution. (See Example 2.)21. 5g 20 22. 4q 5223. p 5 3 24. y 7 125. 8r 64 26. x (2) 827.x — 6 8 28. w — 3 629. 54 9s 30. 7 t — 7 x°100°120°100°76°92°122°x°x°60°115°85° 1. VOCABULARY Which of the operations +, , ×, and are inverses of each other? 2. VOCABULARY Are the equations 2x 10 and 5x 25 equivalent? Explain. 3. WRITING Which property of equality would you use to solve the equation 14x 56? Explain. 4. WHICH ONE DOESN’T BELONG? Which expression does not belong with the other three? Explain your reasoning.8 x — 2 3 x 4x 6 5 x — 3 9Vocabulary and Core Concept CheckVocabularyand Core ConceptCheck