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Name ______________________________________ Class ______________________ Date _____________ Practice 7-1 Solving Two-Step Equations All rights reserved. Solve each equation. 1. 4x 2 17 5 31 2. 15 5 2m 1 3 3. k3 1 3 5 8 4. 7 5 3 1 h6 5. 9n 1 18 5 81 6. 5 5 3 2 9 7. 14 5 5k 2 31 8. 9t 2 7 5 25 9. v8 2 9 5 213 y 10. 25 2 13f 5 214 Solve each equation using mental math. 11. 3p 1 5 5 14 12. k2 2 5 5 1 13. m 7 2 3 5 0 14. 10v 2 6 5 24 15. 8 1 x2 5 27 16. 7 5 6r 2 17 © Pearson Education, Inc., publishing as Pearson Prentice Hall. Choose the correct equation. Solve. 17. Tehira has read 110 pages of a 290-page book. She reads 20 pages each day. How many days will it take to finish? A. 20 1 110p 5 290 B. 20p 1 290 5 110 C. 110 1 20p 5 290 D. 290 5 110 2 20p Write an equation to describe the situation. Solve. 18. A waitress earned $73 for 6 hours of work. The total included $46 in tips. What was her hourly wage? 19. You used 634 c of sugar while baking muffins and nutbread for a class party. You used a total of 112 c of sugar for the muffins. Your nutbread recipe calls for 134 c of sugar per loaf. How many loaves of nutbread did you make? Pre-Algebra Chapter 7 Lesson 7-1 Practice 1 Name ______________________________________ Class ______________________ Date _____________ Practice 7-2 Solving Multi-Step Equations p 1. 3 2 7 5 22 2. 2(n 2 7) 1 3 5 9 3. 0 5 5(k 1 9) 4. 4h 1 7h 2 16 5 6 5. 3(2n 2 7) 5 9 6. 227 5 8x 2 5x 7. 4p 1 5 2 7p 5 21 8. 7 2 y 1 5y 5 9 9. 8e 1 3(5 2 e) 5 10 11. 9 2 3(n 2 5) 5 30 10. 237 5 3x 1 11 2 7x All rights reserved. Solve and check each equation. 12. 16 (y 1 42) 2 15 5 23 Write and solve an equation for each situation. 14. Find three consecutive integers whose sum is 15. 15. Find four consecutive integers whose sum is 30. 16. Jack’s overtime wage is $3 per hour more than his regular hourly wage. He worked for 5 hours at his regular wage and 4 hours at the overtime wage. He earned $66. Find his regular wage. 2 Lesson 7-2 Practice Pre-Algebra Chapter 7 © Pearson Education, Inc., publishing as Pearson Prentice Hall. 13. Find three consecutive integers whose sum is 51. Name ______________________________________ Class ______________________ Date _____________ Practice 7-3 Multi-Step Equations With Fractions and Decimals All rights reserved. Solve and check each equation. 1. 0.7n 2 1.5 1 7.3n 5 14.5 2. 18p 2 45 5 0 3. 16.3k 1 19.2 1 7.5k 5 264.1 4. h 1 3h 1 4h 5 100 5. 40 2 5n 5 22 6. 14 5 23 (9y 2 15) 7. 23y 2 6 5 2 8. 1.2m 1 7.5m 1 2.1 5 63 © Pearson Education, Inc., publishing as Pearson Prentice Hall. 9. 78h 2 58 5 2 10. 93.96 5 4.7p 1 8.7p 2 2.6p 11. 9w 2 16.3 5 5.3 12. 88.1 2 2.3f 5 72.46 13. 215.3 5 27.5k 1 55.2 14. 26e 1 891 5 271 15. 2.3(x 1 1.4) 5 29.66 16. (x 2 17.7) 1 19.6 5 27.8 Write an equation to describe each situation. Solve. 17. Jolene bought three blouses at one price and 2 blouses priced $3 below the others. The total cost was $91.50. Find the prices of the blouses. 18. A car rented for $29 per day plus $.08 per mile. Julia paid $46.12 for a one-day rental. How far did she drive? By what number would you multiply each equation to clear denominators or decimals? Do not solve. 19. 13 z 1 16 5 516 Pre-Algebra Chapter 7 20. 3.7 1 2.75k 5 27.35 Lesson 7-3 Practice 3 Name ______________________________________ Class ______________________ Date _____________ Practice 7-4 Write an Equation Write an equation. Then solve. 1. Bill purchased 4 pens for $3.32, including $.16 sales tax. Find the cost of 1 pen. 3. A baby weighed 3.2 kg at birth. She gained 0.17 kg per week. How old was she when she weighed 5.75 kg? All rights reserved. 2. Arnold had $1.70 in dimes and quarters. He had 3 more dimes than quarters. How many of each coin did he have? 5. The product of 6 and 3 more than k is 48. 6. A bottle and a cap together cost $1.10. The bottle costs $1 more than the cap. How much does each cost? 7. The perimeter of a rectangular garden is 40 ft. The width is 2 ft more than one half the length. Find the length and width. 4 Lesson 7-4 Practice Pre-Algebra Chapter 7 © Pearson Education, Inc., publishing as Pearson Prentice Hall. 4. In the parking lot at a truck stop there were 6 more cars than 18-wheel trucks. There were 134 wheels in the parking lot. How many cars and trucks were there? Name ______________________________________ Class ______________________ Date _____________ Practice 7-5 Solving Equations With Variables on Both Sides © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. Solve each equation. 1. 3k 1 16 5 5k 2. 5e 5 3e 1 36 3. n 1 4n 2 22 5 7n 4. 2(x 2 7) 5 3x 5. 8h 2 10h 5 3h 1 25 6. 7n 1 6n 2 5 5 4n 1 4 7. 11(p 2 3) 5 5(p 1 3) 8. 9(m 1 2) 5 26(m 1 7) 9. y 1 2(y 2 5) 5 2y 1 2 10. 29x 1 7 5 3x 1 19 11. k 1 9 5 6(k 2 11) 12. 26(4 2 t) 5 12t 13. 2(x 1 7) 5 5(x 2 7) 14. 5m 1 9 5 3(m 2 5) 1 7 15. 5x 1 7 5 6x 16. k 1 12 5 3k 17. 8m 5 5m 1 12 18. 3p 2 9 5 4p Write an equation for each situation. Solve. 19. The difference when 7 less than a number is subtracted from twice the number is 12. What is the number? 20. Four less than three times a number is three more than two times the number. What is the number? Pre-Algebra Chapter 7 Lesson 7-5 Practice 5 Name ______________________________________ Class ______________________ Date _____________ Practice 7-6 Solving Two-Step Inequalities Solve each inequality. Graph the solutions on a number line. 2. 7x 1 2x $ 21 2 3 3. 9 2 x . 10 4. 19 1 8 # 6 1 7x 5. 26x , 12 x .0 6. 24 5 4 3 2 1 0 1 2 3 4 5 5 4 3 2 1 0 1 2 3 5 4 3 2 1 0 1 2 3 4 5 5 4 3 2 1 0 1 2 3 5 4 3 2 1 0 1 2 3 4 5 4 3 2 1 0 1 2 3 4 5 4 4 5 5 All rights reserved. 1. 5x 1 2 # 17 5 7. 2x 2 5 . 1 8. 9x 2 7 # 38 9. 3 , 12x 1 1 10. 212 , 212x 11. 28x 1 18 . 222 12. 50 , 8 2 6x 13. 15x 1 6 . 23 14. 30 $ 26(5 2 x) © Pearson Education, Inc., publishing as Pearson Prentice Hall. Solve each inequality. Write an inequality for each situation. Then solve the inequality. 15. Nine more than half the number n is no more than 8. Find n. 16. Judith drove h hours at a rate of 55 mi/h. She did not reach her goal of driving 385 miles for the day. How long did she drive? 6 Lesson 7-6 Practice Pre-Algebra Chapter 7 Name ______________________________________ Class ______________________ Date _____________ Practice 7-7 Transforming Formulas Use this information to answer Exercises 1–4: Shopping City has a 6% sales tax. 1. Solve the formula c 5 1.06p for p, where c is the cost of an item at Shopping City, including tax, and p is the selling price. All rights reserved. 2. Clara spent $37.10 on a pair of pants at Shopping City. What was the selling price of the pants? 3. Manuel spent $10.59 on a basketball at Shopping City. What was the selling price of the ball? 4. Clara and Manuel's parents spent $165.84 on groceries at Shopping City. How much of that amount was sales tax? © Pearson Education, Inc., publishing as Pearson Prentice Hall. Transform the formulas. 5. The area of a triangle A can be found with the formula A 5 12bh where b is the length of the base of the triangle and h is the height of the triangle. Solve the formula for h. height base 6. Solve the formula A 5 12bh for b. Find the missing part of each triangle. 7. A 5 27 cm2 8. A 5 18 ft2 4 ft 9 cm h5 Solve for the variable indicated. 9. V 5 13lwh, for w Pre-Algebra Chapter 7 b5 10. a1 1 b1 5 1c , for c Lesson 7-7 Practice 7 Name ______________________________________ Class ______________________ Date _____________ Practice 7-8 Simple and Compound Interest Find each balance. Interest rate Compounded Time (years) 1. $400 7% annually 3 2. $8,000 5% annually 9 3. $1,200 4% semi-annually 2 4. $50,000 6% semi-annually 6 Balance All rights reserved. Principal Find the simple interest. 5. $900 deposited at an interest rate of 3% for 5 years 6. $1,348 deposited at an interest rate of 2.5% for 18 months Complete each table. Compound the interest annually. Principal at beginning of year Interest Balance Interest Balance © Pearson Education, Inc., publishing as Pearson Prentice Hall. 7. $5,000 at 6% for 4 years. Year 1: $5,000 Year 2: Year 3: Year 4: 8. $7,200 at 3% for 4 years Principal at beginning of year Year 1: $7,200 Year 2: Year 3: Year 4: 8 Lesson 7-8 Practice Pre-Algebra Chapter 7

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