Algebra B final review

Inequalities

100

Solve and graph for P

25<5p

p>5

200

Solve

X+7>21

x>14

300

solve

-2x>18

x<-9

400

-4x+3>15

x<-3

500

solve for X

x+5<10x+2

x>3

Substitution&Elimination

100

Use elimination to solve:

-6x-4y=6

6x+3y=0

(3,-6)

200

Use substitution to solve

 -x-2y=17

 y=x-7

(-8,-1)

300

solve using elimination:

3x+2y=-1

4x+2y=-6

(-5,7)

400

Solve using substitution:

-5X-3y=4

4x+y=8

(4,-8)

500

Solve using elimination

-2x+y=2

3x-3y=3

(-5,-10)

Exponents

100

simplify

(-2 c⁴d)(-4cd)

=8c⁵d²

200

simplify

(2xy * 2 x² y³)³

=64 x⁹ y¹²    

300

simplify

7xy³ / 21x⁴y

y² / 3x³

400

(4x²y) / (2 x^-2 y⁵ *2)

x⁴ / y⁴

500

(3x²y^-4 *2xy) / (4xy^-2)

3x² / 2y

Radicals & Scientific Notation

100

rewrite in exponential form

⁸(radical)93⁵

93^5/8

200

rewrite in Scientific notation

9500000000

9.5 X 10⁹

300

rewrite in exponential form

square root of 22

22^1/2

400

rewrite in scientific notation

0.00063

6.3 X 10^-4

500

solve in scientific notation

(2.9X10³)(5.2X10⁶)

1.508 X 10¹⁰

Polynomials

100

simplify

(d²-d+5)-(2d+4)

d²-3d+1

200

simplify and write in standard form

x(5x+x²)

x³+5x²

300

multiply and write in standard form

(4x+3)(2x-6)

8x²-18x-18

400

Factor

 x²+7x+10

(x+5)(x+2)

500

Factor

 4x²+8x-5

(2x+5)(2x-1)