Algebra I Test 8 Review

Solving Equations

100

3=0.6-0.08x

x=-30

200

2p-8+4p=10

p=3

300

-4x-6=-10x

x=1

400

9(2m+1)=3(6m+3)

identity (infinite many solutions)

500

24b-22=-4(1-6b)

no solution

Combining Like terms

100

-7d+3d-(-2d)

-2d

200

-8a-b-(-6c)-2a-b-5c

-10a-2b+c

300

8x-6(3-2x)

20x-18

400

-a^3b^2+4ba+3b^2a^3-5ab

2a^3b^2-ab

500

-ab+ab^2-4ba-16b^2a

-15ab^2-5ab

Simplify rational expressions

100

x/y((2x^2)/y^2+y^2/x)

(2x^3)/y^3+y; x≠0, y≠0

200

(2x^2)/(5y^3)((2x^3)/(7y^4)+(3x)/(6y^3))

(4x^5)/(35y^7)+(6x^3)/(30y^6); y≠0

300

(3x^2)/(4y^2)((2x^-3)/(9y^5)+(3x^3)/(4y^-4))

6/(36xy^7)+(9x^5y^2)/(16); x≠0, y≠0

400

x^3/(2y^4)((3x^-2)/(7y^-4)+(3x^3)/(5y^4))

(3x)/14+(3x^6)/(10y^8); x≠0, y≠0

500

(n^-1)/m((mx)/(cn^-3p^-5)+5n^-4p^-5)

(n^2xp^5)/c+5/(mn^5p^5); c≠0, m≠0, n≠0, p≠0

Factoring

100

9a^4b^7+12a^2b^5

3a^2b^5(3a^2b^2+4)

200

9x^4-3x^2+x

x(9x^3-3x+1)

300

9x^4y^2-9x^6y

9x^4y(y-x^2)

400

(4x+8)/4

x+2

500

(6a-36a^2)/(6ab)

(1-6a)/b

Evaluating/Simplifying

100

What is the radius when circumference is 24 inches?  Leave in π.

r=12/pi

200

Find the Fahrenheit temperature when the Celsius temperature is 20 degree. 

C=5/9(F-32)

F=68 degrees

300

(3.2xx10^7)(4.3xx10^2)

1.376xx10^10

400

(2.5xx10^5)/(5xx10^8)

5xx10^-4

500

(-2)^2(5x^-1y^2)^3

(500y^6)/x^3