II. Radicals/Algebraic Skills San,Kian,Arta,Baraa

Roots and Rational Exponents

100

The radical form of the expression x^3/4

What is ⁴√x³?

200

The simplified value of 16^-3/4

What is 1/8

300

The simplest radical form of √50x⁷

What is 5x³√2x?

400

The expression 6/³√3 after the denominator has been rationalized.

What is 2 ³√9

500

The simplified form of the expression (x^1/2 ⋅ x^1/3)⁶

What is x⁵

Simplifying Radicals

100

The simplest radical form of √45

What is 3√5

200

The result of simplying √64x¹⁰

What is 8x⁵

300

The simplest radical form of ³√24y⁷

What is 2y^{2 3}√3y

400

The simplified form of √50x⁵/2x

What is 5x² 

500

The final simplified form of 1/⁴√2x³

What is ⁴√8x/2x

Factoring with Rational Coefficients

100

The factored form of 0.5x + 0.5y

What is 0.5(x+y)

200

the result of factoring out 1/4 out of the expression 1/4 x² - 4

What is 1/4(x² - 16)

300

The fully factored form of 1/9(x²) - 25/49 

(Hint use difference of squares)

what is (1/3 x - 5/7)(1/3 x + 5/7)

400

The factored form of 1/3(x²) + 4/3(x) + 1

What is 1/3(x+1)(x+3)

500

The completely factored form of 2/5(x²) - 18/5

What is 2/5(x-3)(x+3)

Multiply or Divide Rational Expressions

100

The simplified product of 3x/5 ⋅ 10/x²

What is 6/x

200

The first step in simplifying (x+2)/ 5 ÷ (x-3)/10

what is (x+2)/5 ⋅ 10/(x-3)

300

The simplified form of (x²-9)/(x+1) ⋅ (x+1)/(x-3)

What is x + 3

400

What is the quotient of (x²-4)/(x+2) ÷ (x-2)/(x+3)

What is x+3

500

The completely simplified form of (2x²-8)/(x²-x-6) ⋅ (x-3)/(x+2)

What is 2(x-2)/(x+2)

Add or Subtract Rational Expressions

100

The simplified sum of (2x)/(x+5) + 10/(x+5)

What is 2

200

The result of 3/x - 2/y expressed as a single fraction

What is (3y-2x)/(xy)

300

The simplified form of 1/(x-2) + 3/(x+4)

what is (4x-2)/(x-2)(x+4)

400

The difference of x/(x²-9) - 1/(x-3)

What is -3/(x-3)(x+3)

500

The fully simplified result of 2/(x²+3x+2) + x/(x²+x-2)

What is (x²+4x-2)/(x+2)(x+1)(x-1)