Algebra II Chapter 5 Review

Exponent Properties

100

(2x⁴⁾(3x⁵)

What is 6x⁹.

200

(4xy³)²

What is 16x²y⁶.

300

(-6x²y³)/(24x²y⁷)

What is -1/(4y⁴).

400

(2x^-4y⁵)^-3

What is x¹²/(8y¹⁵).

Operations w/ Polynomials

100

(x²-6x-10)+(2x²+4x-11)

What is 3x²-2x-21.

200

(8x²+5x+14)-(7x²+6x+8)

What is x²-x+6.

300

(x²-5)(2x²+3)

What is 2x⁴-7x²-15.

400

(x⁵+32)/(x+2)

What is x⁴-2x³+4x²-8x+16.

Factoring

100

2x³y - 4x²y + 6xy²

What is 2xy(x² - 2x + 3y).

200

x²-8x+16

What is (x-4)(x-4).

300

x²-36

What is (x+6)(x-6).

400

x³+8

What is (x+2)(x²-2x+4).

Simplifying Radicals

100

√64

What is 8.

200

5√50

What is 25√2.

300

√80x²y⁴

What is 4xy²√5.

400

√98x³y

What is 7x√2xy.

Operations w/ Radicals

100

4√3+2√3+√3

What is 7√3.

200

4√3+5√12-7√27

What is -7√3.

300

(2+√5)(2-√5)

What is -1.

400

5/(3-√10)

What is -15 - 5√10.