Algebra Essentials: Get Stronger Answer Key

Introduction to Real Numbers

  1. [latex]-6[/latex]
  2. [latex]-2[/latex]
  3. [latex]-9[/latex]
  4. [latex]9[/latex]
  5. [latex]-2[/latex]
  6. [latex]4[/latex]
  7. [latex]0[/latex]
  8. [latex]9[/latex]
  9. [latex]25[/latex]
  10. [latex]-6[/latex]
  11. [latex]17[/latex]
  12. [latex]4[/latex]
  13. [latex]14[/latex]
  14. [latex]-66[/latex]
  15. [latex]-12[/latex]
  16. [latex]-44[/latex]
  17. [latex]-2[/latex]
  18. [latex]-14y - 11[/latex]
  19. [latex]-4b + 1[/latex]
  20. [latex]43z - 3[/latex]
  21. [latex]9y + 45[/latex]
  22. [latex]-6b + 6[/latex]
  23. [latex]\frac{16x}{3}[/latex]
  24. [latex]9x[/latex]
  25. [latex]\frac{1}{2}(40 - 10) + 5[/latex]
  26. irrational number
  27. [latex]g + 400 - 2(600) = 1200[/latex]
  28. Inverse property of addition

Exponents and Scientific Notation

  1. [latex]81[/latex]
  2. [latex]243[/latex]
  3. [latex]\frac{1}{16}[/latex]
  4. [latex]\frac{1}{11}[/latex]
  5. [latex]1[/latex]
  6. [latex]4^9[/latex]
  7. [latex]12^{40}[/latex]
  8. [latex]\frac{1}{7^9}[/latex]
  9. [latex]3.14 \times 10^{-5}[/latex]
  10. [latex]16,000,000,000[/latex]
  11. [latex]a^4[/latex]
  12. [latex]b^6 c^8[/latex]
  13. [latex]ab^2 d^3[/latex]
  14. [latex]m^4[/latex]
  15. [latex]\frac{q^5}{p^6}[/latex]
  16. [latex]\frac{y^{21}}{x^{14}}[/latex]
  17. [latex]25[/latex]
  18. [latex]72a^2[/latex]
  19. [latex]\frac{c^3}{b^9}[/latex]
  20. [latex]\frac{y}{81z^6}[/latex]
  21. [latex]0.00135[/latex]
  22. [latex]1.0995 \times 10^{12}[/latex]
  23. [latex]0.00000000003397[/latex]

Roots and Rational Exponents

  1. [latex]16[/latex]
  2. [latex]10[/latex]
  3. [latex]14[/latex]
  4. [latex]7\sqrt{2}[/latex]
  5. [latex]\frac{9\sqrt{5}}{5}[/latex]
  6. [latex]25[/latex]
  7. [latex]\sqrt{2}[/latex]
  8. [latex]2\sqrt{6}[/latex]
  9. [latex]5\sqrt{6}[/latex]
  10. [latex]6\sqrt{35}[/latex]
  11. [latex]\frac{2}{15}[/latex]
  12. [latex]\frac{6\sqrt{10}}{19}[/latex]
  13. [latex]\frac{-1 + \sqrt{17}}{2}[/latex]
  14. [latex]7\sqrt[3]{2}[/latex]
  15. [latex]15\sqrt{5}[/latex]
  16. [latex]20x^2[/latex]
  17. [latex]7\sqrt{p}[/latex]
  18. [latex]17m^2\sqrt{m}[/latex]
  19. [latex]2b\sqrt{a}[/latex]
  20. [latex]\frac{15x}{7}[/latex]
  21. [latex]5y^4\sqrt{2}[/latex]
  22. [latex]\frac{4\sqrt{7d}}{7d}[/latex]
  23. [latex]\frac{2\sqrt{2}+2\sqrt{6x}}{1-3x}[/latex]
  24. [latex]-w\sqrt{2w}[/latex]
  25. [latex]\frac{3\sqrt{x} - \sqrt{3x}}{2}[/latex]
  26. [latex]5n^5\sqrt{5}[/latex]
  27. [latex]\frac{9\sqrt{m}}{19m}[/latex]
  28. [latex]\frac{2}{3d}[/latex]
  29. [latex]\frac{3\sqrt[4]{2x^2}}{2}[/latex]
  30. [latex]6z\sqrt[3]{2}[/latex]