3.3 Exercises PDF

3.3 Exercises Help with Homework 1. VOCABULARY What property would you use to solve m + 6 = −4? 2. VOCABUL...

3.3 Exercises Help with Homework 1. VOCABULARY What property would you use to solve m + 6 = −4? 2. VOCABULARY Name two inverse operations. 3. WRITING Are the equations m + 3 = −5 and m = −2 equivalent? Explain. 4. WHICH ONE DOESN’T BELONG? Which equation does not belong with the other three? Explain your reasoning. x + 3 = −1 x + 1 = −5 x − 2 = −6 x − 9 = −13 6)=3 9+(- 3)= 3+(- 9)= 4+(- = 1) 9+(- Solve the equation. Check your solution. 1 5. a − 6 = 13 6. −3 = z − 8 7. −14 = k + 6 8. x + 4 = −14 1 2 1 1 9. c − 7.6 = −4 10. −10.1 = w + 5.3 11. — = q + — 12. p − 3 — = −2 — 2 3 6 2 13. g − 9 = −19 14. −9.3 = d − 3.4 15. 4.58 + y = 2.5 16. x − 5.2 = −18.73 5 1 1 4 3 5 2 2 17. q + — = — 18. −2 — = r − — 19. w + 3 — = 1 — 20. 4 — + k = −3 — 9 6 4 5 8 6 5 11 21. ERROR ANALYSIS Describe and correct the error in finding the solution. ✗ x + 8 = 10 +8 +8 x = 18 Write the word sentence as an equation. Then solve. 2 22. 4 less than a number n is −15. 23. 10 more than a number c is 3. 24. The sum of a number y and −3 is −8. 25. The difference between a number p and 6 is −14. In Exercises 26 –28, write an equation. Then solve. 26. DRY ICE The temperature of dry ice is −109.3°F. This is 184.9°F less than the outside temperature. What is the outside temperature? 27. PROFIT A company makes a profit of $1.38 million. This is $2.54 million more than last year. What was the profit last year? 28. HELICOPTER The difference in elevation of a helicopter and a submarine 1 3 is 18 — meters. The elevation of the submarine is −7— meters. What is the 2 4 elevation of the helicopter? 100 Chapter 3 Expressions and Equations ms_red pe_0303.indd 100 1/30/15 3:18:33 PM  GEOMETRY Write and solve an equation to find the unknown side length. 29. Perimeter = 12 cm 30. Perimeter = 24.2 in. 31. Perimeter = 34.6 ft 8.3 in. ? ? 3 cm ? 3.8 in. 6.4 ft 5.2 ft 5 cm 8.3 in. 11.1 ft In Exercises 32−36, write an equation. Then solve. 32. STATUE OF LIBERTY The total height of the Statue of Liberty and its pedestal is 153 feet more than the height of the statue. What is the height of the statue? 1 33. BUNGEE JUMPING Your first jump is 50 — feet higher than your second 6 2 305 ft jump. Your first jump reaches −200 — feet. What is the height of your 5 second jump? 3 34. TRAVEL Boatesville is 65 — kilometers from Stanton. A bus traveling from 5 1 Stanton is 24 — kilometers from Boatesville. How far has the bus traveled? 3 m 35. GEOMETRY The sum of the measures of the angles of a triangle equals 180°. What is the measure of the missing angle? 30.3 40.8 36. SKATEBOARDING The table shows your Round 1 2 3 4 scores in a skateboarding competition. The leader has 311.62 points. What score Points 63.43 87.15 81.96 ? do you need in the fourth round to win? 37. CRITICAL THINKING Find the value of 2x − 1 when x + 6 = 2. Find the values of x. 38. ∣x∣=2 39. ∣x∣−2=4 40. ∣ x ∣ + 5 = 18 Multiply or divide. (Section 1.4 and Section 1.5) 41. −7 × 8 42. 6 × (−12) 43. 18 ÷ (−2) 44. −26 ÷ 4 45. MULTIPLE CHOICE A class of 144 students voted for a class president. Three-fourths 5 of the students voted for you. Of the students who voted for you, — are female. How 9 many female students voted for you? (Section 2.4) ○ A 50 ○ B 60 ○ C 80 ○ D 108 Section 3.3 Solving Equations Using Addition or Subtraction 101 ms_red pe_0303.indd 101 1/30/15 3:18:35 PM