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Algebra 1 Name:_____________ Ch. 3 Review Solve each equation for x. x 6 2 1. x + 3 = 6 2. -3x = 27 3. 4 4. x 10 5 5. 12 = 5x – 3 6. -6x – 4 = 14 3 7. 8 x 11 2 8. 10. -6x + 8 = 4x – 12 11. 3(x – 1) = x + 9 13. 4x = 12 + 3(x + 8) 20 = 8x – 4 – 2x 14. 9. 8x + 7 = 6x – 7 12. 8 x2 10 5 3(x – 2) + 4 = 3(x – 3) – 9 Write an equation but do not solve. 15. Three times some number decreased by 8 is -14. 16. The product of six and a number minus thirteen is equal to nineteen. 17. Six less than one fourth times a number equals two. 18. Five times the sum of some number and three is the same as thirty-five. 19. Four times the difference of a number and 3 is the same as twelve. Express each equation in English. Try not to use the words minus or plus. 20. 4x – 9 = 11 21. 3(x + 5) = 8 Use your calculator to solve. 22. A piece of jewelry costs $78. If the price increases by 12%, what is the new cost? 23. A sale of 40% is on at a department store. What is the cost of a shirt that is regularly $45 and is going to be taxed 6%? Write a proportion and solve. 24. If two cubic feet of sand weigh 90 pounds, how much do 5 cubic feet of sand weigh? Write and equation and solve the following word problem. 25. The sum of two consecutive even integers is 46. Find the numbers. Write the formula and solve for the missing value. 26. The area of a triangle is equal to one-half times the base times the height. If the area = 56, and the base = 14, find the height. Solve each literal equation for the indicated variable. rx 9 h ; for x 27. 6x – y = 2z; for x 28. 5 29. PV = nrT; for r 30. V= 1 Bh ; for B 3