By Euler L.

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**Extra resources for An algebraic problem of finding four numbers, given the products of each of the numbers with the sum of the three others**

**Example text**

Substitute 2 for a, 3 for b, and 7 for c. Find the value of 22. Multiply 2 · 3. Add the numbers. Practice Evaluate the algebraic expressions when a = 2, b = –3, c = ᎏ12ᎏ, d = 7, and e = 4. 21. 3a + e 31. c(12a) 22. ac + d 32. c2e + a 23. 4cd 33. d 2 + 7b 24. bd – 3e 34. 5(a + b)2 25. a 3 + ce 35. 6ce + 4a – d 26. 5ab – d 36. 5a 4 27. –ab + 10 37. ba3 + d2 28. 4b – 5e 38. (e + d)(e – d) 29. 3e 2+ 4b 39. 9(a + d ) – 92 30. 3(a + b + d) 40. 6(d + 3b) + 7ace 25 Team-LRN 2b + a 2(4) + 2 8+2 = 10 a 2 + 2b + c (2)2 + 2(3) + 7 4 + 2(3) + 7 4+6+7 = 17 – WORKING WITH ALGEBRAIC EXPRESSIONS – Skill Building until Next Time The next time you go shopping, take note of the price on any two items.

41. You have been contracted to replace a countertop in a kitchen. You will get paid $1,000 to do the job. You can complete the job in three days working 8 hours a day. You will need to pay the cost of the materials, which is $525, with the $1,000 that you receive to do the job. How much will you be paid an hour for your time? 42. How much is a 15% tip on a $32 meal? 43. When Kim works 40 hours in a week, she earns $560. If she only works 35 hours, how much should she expect to earn? 44. There are 40 questions on a test.

6x = 10 ______13. 3x = 27 2 x ______18. ᎏ3ᎏ = ᎏ3ᎏ x ______14. ᎏ8ᎏ = 16 2 x ______19. ᎏ2ᎏ = ᎏ3ᎏ x ______15. ᎏ1ᎏ3 = 2 ______20. 45x = 15 34 Team-LRN – SOLVING BASIC EQUATIONS – Mixed Practice Solve the equations without the use of a calculator. If you get a fraction for an answer, reduce the fraction to its simplest form. ______21. x + 3 = 11 1 ______31. 4x = –32 ______22. x – ᎏ2ᎏ = 4 x ______32. ᎏ9ᎏ = –7 ______23. 3x = 10 ______33. –3x = 39 x ______24. ᎏ7ᎏ = 3 ______34. x + 17 = 11 ______25. 16x = 48 ______35.