M2 U0 Test Review

Add/Subtract Polynomials

100

(8p²-5p⁵-p⁴) + (-3p⁴-6p⁵+4)

−11p⁵ − 4p⁴ + 8p² + 4

200

(2y⁵-8y⁶+8y²)+(-5y⁶-5y²+3y⁵)

-13y⁶+5y⁵+3y²

300

(3p² + 7p + 5p⁴) - (-4p - 9 - 2p²)

5p⁴ + 5p² + 11p + 9

400

(-8r² + 10r⁴ - 3r³) - (5 - 6r³ - 2r²)

10r⁴ + 3r³ − 6r² − 5

500

(-15x⁴ + 9x³ - 12x) + (7x⁴ - 5x³ + 8x) - (-3x⁴ + 2x³ - x)

−5x⁴ + 2x³ − 3x

Multiply Polynomials

100

(x+4)(2x-3)

2x²+5x-12

200

(6x - 3)(5x - 7)

30x² − 57x + 21

300

(x - 4)²

x² − 8x + 16

400

(5x + 9)²

25x² + 90x + 81

500

(-2x² + 5x + 4)(3x² - 2x + 1)

−6x⁴ + 19x³ − 3x + 4

Dividing Polynomials

100

(4x³ + 12x² + 20x) ÷ 4x

x²+3x+5

200

(15x⁷ + 10x⁶ + 5x⁵) ÷ 5x³

3x⁴+2x³+x²

300

(12a⁵ + 6a⁴ + 18a³) ÷ 3a³

4a²+2a+6

400

(8g⁹+6g⁶-2g⁵-12g²)÷4g⁵

2g⁴+3g/2-1/2-3/g³

500

(12x³+3x²+9x+8)÷6x²

2x+1/2+3/(2x)+4/(3x²)

Solving Multi-Step Equations

100

8r + 6 - 3r = 31

r=5

200

−18 + 4x = −6(2 + 3x)

x=3/11

300

3(2x-7)-8x =-3(x-3)+x-30

Infinite Solutions (All Real Numbers)

400

-5n + 4(-7 + 6n) = -2(-9n - 4) + 3n

n=-18

500

6(−5 − 4p) = −3(8 + 6p) − 6

p=0

Literal Equations

100

Solve for m. 

y=mx+b 

m = (y-b)/x

200

Solve for L. 

P=2(L+W)

L= (P/2) - W

L= (P-2W)/2

300

Solve for h. 

V=pi r² h

h = V/(pi r²)

400

Solve for r. 

A=pi r²

r = sqrt (A/pi)

500

Solve for r. 

V = 4/3 pi r³

r= cbrt (3V/4pi)