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

2. 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

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

4. Solving Rational Equations Practice
In each problem below, solve for x. Show work!
9. (5x – 85)(3/4) = (4x + 92)(5/2) = 1080
11. (6x – 78)(2/5) = (9x )(3/5) – 153 = 576

5. Algebra 2 Review for Mid-Unit Quiz 5A
Convert to radical form: (-4/5)
Convert to rational form: (23)7
Evaluate the following expressions. No decimals.
125(-4/3) (5/6) 5. (4256)-3
(51024)2
Simplify by rationalizing the denominator. Show work!
4 7
Simplify each radical expression. Show work!
9. (80x8y13z5) (270x8y15z10)
125x8y11z x17y6z23
320x20y5z x8y24z2

6. 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) (162x8y12)
5 4(32x11y6) (512x11y6)
Simplify the following rational exponent expressions using
exponent rules and convert answers into radical form. Show
work!
3(1/4)  3(2/3) (x(2/5))(1/4)
64x-12 (1/3) (25x(3/4))(1/2)  (81x(2/3))(1/4)
729y15
Solve for x. Show work!
20. 9x3/5 – 37 = (4x – 32)2/3 – 45 = -9