Algebra 1: Chapters 5-9 Final Review

Chapter 5Linear Inequalities

100

Solve and graph

-3a-4>=20

{a|a<=-8}

Graph with a closed dot on -8 shaded to the left.

200

Solve and graph

-3/4r<-6

{r|r>8}

Open dot on 8 shaded to the right

300

Simplify 3b-6>=15+24b 

{b|b<=-1}

400

Solve and graph

-5<3p+7<=22

Shaded between open dot -4 and closed dot 5

{p|-4<p<=5}

500

-y+5>=9 or 3y+4<-5

{y|y<-3}

Shaded left with an open dot on -3.

Chapter 6Systems of Linear equations

100

Solve:

y=x+5 and 3x+y=25

(5,10)

200

Solve:

y=3x-2 and y=2x-5

(-3,-11)

300

Solve:

-5m+p=-7 and 7m-p=11

(2,3)

400

2x-y=4 and 7x+3y=27

(3,2)

500

1/4x+4y=11/4 and 3x+1/2y=37/4

(3, 1/2)

Chapter 7Exponents

100

(3y^6z^9)(6y^4z^2)

18y^10z^11

200

Have fun!

(3ab^2c)^2(-2a^2b^4)^2(a^4c^2)^3(a^2b^4c^3)^2(2a^3b^2c^4)^3

288a^31b^26c^30

300

Simplify

((5f^9g^4h^2)/(fg^2h^5))^0

1

400

(p^12r^3t)/(p^2r^5t)

p^10/r^2

500

(12w^-4p^2)/(-15m^3p^-9)

(4p^11)/(-5m^7)

Chapter 8Polynomials

100

(6x^3-4)+(-2x^3+9)

4x^3+5

200

Simplify

-4d(5d^2-12)+7(d+5)

-20d^3+55d+35

300

Simplify

(5r+7)(5r-7)

25r^2-49

400

Factor:

21b-15ba

3b(7-5a)

500

Factor - hint: grouping

xy-7x+7y-49

(x+7)(y-7)

Chapter 9Quad. Functions

100

Solve:

9a^2=81

a=+-3

200

Solve:

z^2-5z-66=0

z=-6, 11

300

Solve:

(x-2)^2=16

x=-2, 6

400

Solve using the Quad. Formula:

2x^2+11x-6=0

x=-6,1/2

500

Solve however you want:

5x^2+21x=-18

x=-3, 6/5