Warmup 4-15 1. Convert to radical form: 2. Convert to rational form: Simplify using exponent rules. No negative or zero exponents in answers. 3. 4. 5. 6. Solve for x: 7. Solve for x:

Solving Rational Equations Examples In each problem below, solve for x. Show work! Ex. (2x + 14)(2/3) – 24 = 40 Ex. (4x – 8)(4/5) + 12 = 268 Ex. (5x + 35)(3/5) – 45 = 80

Solving Rational Equations Practice In each problem below, solve for x. Show work! 1. x(3/4) - 27= -19 2. x(5/2) + 37 = 280 3. 6x(4/3) = 1536 4. 5x(2/3) = 405 3x(5/6) + 73 = 3145 6. 8x(7/5) - 113 = 911 7. (2x + 35)(2/3) - 27 = 94 8. (3x - 63)(4/5) + 71 = 314

Solving Rational Equations Practice In each problem below, solve for x. Show work! 9. (5x – 85)(3/4) - 65 = 60 10. (4x + 92)(5/2) + 56 = 1080 11. (6x – 78)(2/5) + 102 = 138 12. (9x + 279 )(3/5) – 153 = 576

Algebra 2 Review for Mid-Unit Quiz 5A Convert to radical form: 37(-4/5) Convert to rational form: (23)7 Evaluate the following expressions. No decimals. 125(-4/3) 4. 64(5/6) 5. (4256)-3 (51024)2 Simplify by rationalizing the denominator. Show work! 12 8. 9 415 57 Simplify each radical expression. Show work! 9. (80x8y13z5) 10. 3(270x8y15z10) 125x8y11z6 12. 3 81x17y6z23 320x20y5z14 192x8y24z2

Algebra 2 Review for Mid-Unit Quiz 5A Simplify the following radical expressions by combining like terms. Show work! 6 (112x4y7) - 4 (175x4y7) 3(48x8y12) + 2 3(162x8y12) 5 4(32x11y6) - 2 4(512x11y6) Simplify the following rational exponent expressions using exponent rules and convert answers into radical form. Show work! 3(1/4)  3(2/3) 17. (x(2/5))(1/4) 64x-12 (1/3) 19. (25x(3/4))(1/2)  (81x(2/3))(1/4) 729y15 Solve for x. Show work! 20. 9x3/5 – 37 = 206 21. (4x – 32)2/3 – 45 = -9