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By Charles Denlinger and Elaine Jacobson (Auth.)
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Extra resources for Algebra Review
20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 50. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. i . [i - ( i . (i 51. 1 INTRODUCTION If 2 is substituted in the equation 3x- 2 = 4 the two sides become equal. We say that x = 2 is a solution of the equation. The following operations are helpful for finding the solu tions of an equation: I. II. The same quantity may be added to or subtracted from both sides of an equation. Both sides of an equation may be multiplied (or divided) by the same non-zero quantity.
That is, (5x + 4 x - x + 7 ) - ( x - 3 x + 4 ) - 5x - llx + 7x + 26x - 25x + 28 3 2 2 5 4 3 2 Observe that the degree of the product of polynomials is the sum of their degrees. 2 Perform the indicated operations, and simplify: 1. (7x -llx+5) - ( 3 x + 4 x - 8 ) 2. (2x+5)(x-4) 3. (x + x + 1) + 3x ^2x + 4. (xy+4y )(x-3y) 2 2 3 2 5. x(4x - 7 x + 3 ) - (x+l)(3x + 7) 6. (a + b ) 2 7. (a + b ) 3 8. (a + b + c ) + ( 2 a - b ) 9. (a + b + c ) *(2a-b) 3 2 2 10. (x - 3x + 7) - 2x[x + 4x - 3(x - 1) ] 11. (i 12.
The formula for simple interest is I = Prt where I is the interest earned by an investment of P dollars at an interest rate r per year for t years. 25. (a) Solve this equation for r. (b) Solve this equation for t. (c) If $800 is invested at 7% per year for 6 years, find the interest earned. (d) If an initial investment of $2,000 has grown in value to $3,020 while being invested at simple interest for six years, what was the interest rate per year? (e) If you borrow $4,000 and agree to pay it back in one lump sum, together with 9% per year interest, how much do you have to pay back after 3 years and 6 months?
Algebra Review by Charles Denlinger and Elaine Jacobson (Auth.)