Review of Radicals, Factoring, and Polynomials

Radical to Rational

100

Simplify: 

√45

What is 3√5?

200

Simplify √68x²

What is 2x√17?

300

Simplify √18xy³z⁵

What is 3yz²√2xyz?

400

Simplify -3√120

What is -6√30?

500

Simplify 5√-320

What is 40i√5?

Rational to Radical

100

Make this into a radical expression and simplify: 

4^3/2

What is 8?

200

Make into a radical expression and simplify:

6^3/4

What is ⁴√216?

300

Make this into a radical expression and simplify: 

12^3/2

What is 24√3?

400

Make this into a radical expression and then simplify: 

3 / 6^3/2

What is (√6) / 12?

500

Make this into a radical expression and then simplify

 -2^4/3

What is 2i ³√2?

Operations with Polynomials and Radicals

100

Perform the operation: 

(x² + 3x -2) + (x² + 4x +4)

What is (2x² + 7x +2)?

200

Complete the operation: 

8√6 + 2√3 + √6

What is 9√6 + 2√3?

300

Complete the operation: 

(4x² - 4x - 4) - (4x² - 4x - 4)

What is 0?

400

Complete the operation: 

(6√3) / √8

What is (3√2) / 2?

500

Complete the operations: 

3√20 + 2√18 + 6√24

What 6√5 + 6√2 + 12√6?

Factoring

100

Factor: 

4x²+10

What is 2(2x²+5)?

200

Factor:

2x² -9x -5

What is (x-5)(2x +1)?

300

Factor: 

4j² + 28j +49

What is (2j + 7)²?

400

Factor: 

x² - 16

What is (x + 4)(x - 4)?

500

Factor: 

8x² + 13x - 6

What is (8x-3)(x+2)?

Factoring

100

Factor: 

9x^3 +7x^2 -10

What is PRIME?

200

Factor: 

5y² - 2y - 3

What is (5y+3)(y+1)?

300

Factor: 

2x² + 2x - 12

What is 2(x - 2)(x + 3)?

400

Factor: 

2x²y + 6xy - x - 3

What is (2xy - 1)(x + 3)?

500

Factor: 

4x³ - 16x² + 16x

What is 4x(x - 2)²?