32 Chapter 1Solving Linear EquationsExercises1.4Dynamic Solutionsavailable at BigIdeasMath.comIn Exercises 3−10, simplify the expression.3. 9 4. 15 5. 14 14 6. 3 + 3 7. 5 ⋅ (7) 8. 0.8 ⋅ 10 9. 27 — 3 10. 12 — 4 In Exercises 11−24, solve the equation. Graph the solution(s), if possible. (See Examples 1 and 2.)11. w 6 12. r 213. y 18 14. x 1315. m + 3 7 16. q 8 1417. 3d 15 18. t — 2 619. 4b 5 19 20. x 1 + 5 221. 4 8 5n 1322. 3 1 2 — 3 v 9 23. 3 2 1 — 4 s 5 + 3 24. 9 4p + 2 + 8 35 25. WRITING EQUATIONS The minimum distance from Earth to the Sun is 91.4 million miles. The maximum distance is 94.5 million miles. (See Example 3.) a. Represent these two distances on a number line.b. Write an absolute value equation that represents the minimum and maximum distances.26. WRITING EQUATIONS The shoulder heights of the shortest and tallest miniature poodles are shown. 10 in.15 in.a. Represent these two heights on a number line.b. Write an absolute value equation that represents these heights.USING STRUCTURE In Exercises 27−30, match the absolute value equation with its graph without solving the equation.27. x + 2 4 28. x 4 229. x 2 4 30. x + 4 2A. 1086420222B. 864202444C. 420246844D. 2024681022Monitoring Progress and Modeling with MathematicsMonitoring Progress and Modeling with Mathematics 1. VOCABULARY What is an extraneous solution? 2. WRITING Without calculating, how do you know that the equation 4x 7 1 has no solution?Vocabulary and Core Concept CheckVocabularyand Core ConceptCheck