Algebra Equations.

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Practice C For use with pages 24-30 Check whether the given number is a solution of the equation. 1. 3x + 5 = 7;4 2. 17 - 4x = 9; 2 3. 7 + x2 = 32;5 4. 0 = x2 - 22; 11 5. 9x - 8 = 6x + 1;3 6. 3n2 - 20 = 196:2 7. a = 26 - 3a3: 2 8. 5x + 3x = x2 + 7; 1 9. 18 + m 3 = m + 12:9 10. 3n - - = n4: 3 11. (m + 2)2 = 49; 5 12. x2 + = 7:6 Write a question that could be used to solve the equation. Then use mental math to solve the equation. 13. x - 5 = 13 14. x + 2 = 16 15. 2x + 6 = 8 16. 21 - x = 13 17. 4x = 60 18. 7x - 19 = 9 19. 3 20. 52 = 4 21. x = 216 m Check whether the given number is a solution of the inequality. 22. x - 5 s 7; 13 23. 14 - 2x > 5;4 24. 10 + x c - 3;5 C-31. 33. Locker Installation Suppose your school is replacing some of its lockers. When the old lockers are removed there is a space 153 inches long. Each new locker has a width of 8.5 inches. You want to know how many new lockers can be installed. You write the equation 8.5x = 153 to model the situation. What do the 8.5, x, and 153 represent? Use mental math to solve the equation. Layer of Earth Earth's radius is approximately 4010 miles. The crust is approximately 10 miles wide, the mantle is approximately 1800 miles wide, and the inner core has a radius of approximately 800 miles. You want to know the width of the outer core. You write the equation 10 + 1800 + x + 800 = 4010 to model the situation. What do the 10, 1800, x, 800, and 4010 represent? Use mental math to solve the equation. 32. Videc Game Sysiess~You are budgeting - - money to buy a video game system that costs $138 including tax. If you save $6 per week, will you have enough money in 6 months? You write the inequality 6n > 138 to model the situation. What do the 6, n, and 138 represent? Use mental math to solve the ~ inequality. inner Core {800 miles) Outer Core Mantle {1800 miles) Crust {10 miles) 4010 miles - \" Practice A For use with pages 32-39 Write the verbal phrase as an algebraic expression. Use x for the variable in your expression. D '_:. = =] 0 0 s ~ 1. Three more than a number 2. Four less than a number 3. Difference of eight and a number 4. The sum of a number and one 5. Six times a given number 6. One half of a given number 7. A nomber divided by five 8. Seven more than twice a given number 9. Two less than a number, divided by nine 10. Two more than the product of ten and a number 11. The sum of a number and one, times three 12. The sum of a number and six, divided by two Write the verbal sentence as an equation or an inequality. 13. Two more than a number x is ten. 14. The sum of a number y and four is 13. 15. Eight more than a number y is greater 16. The difference of a number a and two is seven. than or equal to nine. wo. 17. Six less than,a Ilumt;f:_rz_.is less than 15. . 18. Eleven minus a number 4 is two. 19. The product of two and a number x is 22. 20. Twelve is less than six times a number x. 21. One more than four times a number b is five. 22. The quotient of a number and three is eight. 23. A number a divided by two is greater 24. Four less than the product of six and a number than five. a is eight. In Exercises 25 and 26, which equation correctly models the situation? 25. Model Planes : Your model plane collection 26. Bake Sale-..You make 3 batches of cookies consists of 15 models. Each plane is either a for a bake sale. If you follow the recipe, three propeller plane or a jet. There are 7 more batches makes 6 dozen cookies. Let d be the propeller planes than jets. Let x be the number of dozen cookies in one batch. number of jets. a. x + (x + 7) = 15 b. x+7 = 15 a. 3d = 6 b. = 3 Airplane Speed In Exercises 27-30, use the following information. A commercial airplane has been flying for two hours and has flown a distance of 360 miles. How fast has it been flying? Verbal Model: |Speed of airplane Flight time = Distance traveled 27. Assign labels to the three parts of the verbal model. 28. Use the labels to translate the verbal model into an algebraic model. 29. Use mental math to solve the equation. 30. Check to see if your answer is reasonable. 70 Algebra 1 Copyright @ Mcdougal Littell Inc. Chapter 1 Resource Book All rights reserved