Units 2-3 Review

Exponents

100

Simplify:

x¹¹x⁷

x¹⁸

200

Simplify:

(x⁹)³

x²⁷

300

Simplify:

(x²y⁷)⁸(4x^-1y⁵)³

64x¹³y⁷¹

400

Simplify:

[(2x³y)(4x⁵y⁴)]/(x²y)

8x⁶y⁴

500

Simplify:

(48x^-3y⁷)/(12x⁶y^-9)

4y¹⁶/x⁹

Adding/Subtracting Polynomials

100

Simplify:

(2x³+2x+4)+(3x³+5x²+5x+2)

5x³+5x²+7x+6

200

Simplify:

(20x²+4x-7)-(9x²-3x-18)

11x²+7x+11

300

Simplify:

(7x²+6x-4)+(6x+2x²-11)

9x²+12x-15

400

Simplify:

(8-4x⁴+2x³-2x+3x²)-(5x+2-3x²+7x³)

-4x⁴-5x³+6x²-7x+6

500

Simplify:

(11x²+2x³-8x+9)-(18+7x³-4x²)

-5x³+15x²-8x-9

Multiplying Polynomials

100

Simplify:

7x³(2x-3)

14x⁴-21x³

200

Simplify:

(x+4)²

x²+8x+16

300

Simplify:

4x(7x³-8x²+5)

28x⁴-32x³+20x

400

Simplify:

(x+6)(3x²-2x+7)

3x³+16x²-5x+42

500

Simplify:

(x+3)(x-2)(x+4)

x³+5x²-2x-24

Radicals

100

Simplify:

√90

3√10

200

Simplify:

√(-81)

No solution

300

Simplify:

∛-64

-4

400

Simplify:

(√169)/(√5)

(13√5)/5

500

Simplify:

(3-√10)²

19-6√10

Misc.

100

Write an algebraic equation and solve for x (image drawn on white board)

x=2√5

200

Classify the polynomial by degree and number of terms:

3x⁴-x²+7

Quartic Trinomial

300

Find the area and perimeter of the rectangle (drawn on white board)

Area: 4x²+9x-28

Perimeter: 10x-6

400

Divide:

(3x³−5x²+10x−3)/(3x+1)

x²-2x+4 -7/(3x+1)

500

Divide:

(4x⁴+2x³+32x²)/8x²

(x²/2)+(x/4)+4