Unit 0 Test F23.docx

Precalculus Honors Name: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ **Unit 0 Test -- Algebra Review Topics** Block: \_\_\_\_\_\_\_\_ Date: \_\_\_\_\_\_\_ ***SHOW WORK and BOX IN your final answers!!*** **Perform the indicated operation. [Write your answers in standard form]!** 1\. [4*x...

Precalculus Honors Name: \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ **Unit 0 Test -- Algebra Review Topics** Block: \_\_\_\_\_\_\_\_ Date: \_\_\_\_\_\_\_ ***SHOW WORK and BOX IN your final answers!!*** **Perform the indicated operation. [Write your answers in standard form]!** 1\. [4*x*^3^( − 3*x*^2^ + 5*x* − 7)]{.math.inline} 2. [ − (3*x*^2^−4) + ( − 8*x*^3^ − 10*x*^2^ − 7)]{.math.inline} 3\. [(3*x*+4)^2^]{.math.inline} **Simplify each of the following.** 4\. [(6*x*^4^*y*^ − 2^)(−3*x*^ − 2^*y*^5^)]{.math.inline} 5. [\$\\left( \\frac{3x\^{4}}{4x\^{- 2}} \\right)\^{- 2}\$]{.math.inline} 6\. [(−3*a*^4^*b*^ − 1^)^ − 3^]{.math.inline} 7. [\$\\sqrt\[3\]{24x\^{6}y\^{8}}\$]{.math.inline} 8\. [4 −  + 8]{.math.inline} 9. [\$\\frac{2x}{3 -}\$]{.math.inline} 10\. [\$\\sqrt\[4\]{9ab\^{3}} \\bullet\$]{.math.inline} 11. [\$\\left( \\frac{16m\^{\\frac{1}{5}}n\^{\\frac{3}{2}}}{81m\^{\\frac{9}{5}}n\^{- \\frac{1}{2}}} \\right)\^{\\frac{1}{4}}\$]{.math.inline} **Factor [completely].** 12\. [*x*^4^ + 2*x*^3^ − 8*x* − 16]{.math.inline} 13. [2*y*^2^ + 9*y* + 4]{.math.inline} 14\. [64*x*^2^ − 49*y*^2^]{.math.inline} 15. [8*x*^3^ − 125]{.math.inline} 16\. [*x*^4^ − 7*x*^2^ + 12]{.math.inline} 17. [15(3*x*+2)^2^(1 − *x*)^2^ + 10(3*x* + 2)(1 − *x*)^3^]{.math.inline} **Solve each equation. [Check for extraneous solutions when appropriate].** 18\. [2(*x*+5) − 7 = 3(*x* − 2)]{.math.inline} 19. [\$\\frac{1}{2}x\^{2} + 5x + \\frac{3}{2} = 0\$]{.math.inline} 20\. [2*x*^4^ − 15*x*^3^ + 18*x*^2^ = 0]{.math.inline} 21. [3 +  = *x*]{.math.inline} 22\. [ − 2(*x*−5)^3/4^ + 48 =  − 202]{.math.inline} 23. [\$\\frac{3x}{x - 2} - \\frac{14}{2x\^{2} - x - 6} = \\frac{2}{2x + 3}\$]{.math.inline} 24\. [ − 2\|*x*+3\| =  − 10]{.math.inline} **Simplify. State the restricted value(s) for \#25.** 25\. [\$\\frac{{1 - x}\^{2}}{{5x}\^{2} + x - 6}\$]{.math.inline} 26. [\$\\frac{b\^{2} - a\^{2}}{{(a - b)}\^{2}} \\bullet \\frac{12a\^{2} - 12ab}{36a\^{2}b} \\div \\frac{a + b}{9a\^{2}b - 9ab\^{2}}\$]{.math.inline} 27\. [\$\\frac{\\frac{1}{a} - \\frac{1}{b}}{\\frac{1}{b\^{3}} - \\frac{1}{a\^{3}}}\$]{.math.inline}