Algebra B Review

Chapter 5

100

Solve and graph

160 <or= 5(8+3n)

n >or= 8

200

Solve and graph

87 >or= 3(8-7v)

v >or= -3

300

Solve and graph

-93 < -3 + 9k <or= -30

-10 < k <or= -3

400

Solve and graph

/7a/+9 <or= 44

-5 <or= a <or= 5

500

Solve and graph

x-5 <or= -3     or    -5x <or= -50

x<or= 2     or   x >or= 10

Chapter 6

100

Solve the system by graphing. Give the solution.

y = -4/3 x - 3

y = 2/3 x + 3

(-3,1)

200

Solve the system by substitution

y = -4x + 4

6x - 7y = 6

(1,0)

300

Solve by elimination

2x + 9y = -20

-10x + 9y = -8

(-1, -2)

400

Solve by elimination

4x - 3y = 13

-3x + 6y = 24

(10, 9)

500

Solve by elimination

5x - 3y = -23

4x + 2y = -14

(-4, 1)

Chapter 7

100

Simplify. Answer should only have positive exponents

             2a³  / (2a²b^-4)³ * a²b^-1

b¹³ / 4a⁵

200

Simplify. Answer should only have positive exponents

2u^-2 / (2uv²)³ * u^-2v⁴

1 / 4u³v¹⁰

300

Simplify

-2/^---252n²

-12n /^---7

400

Simplify

-2/^---128x²

-16x/^---2

500

Simplify. Write answer in scientific notation.

(8.82 x 10^-3)(7.64 x 10^-6)

6.738 x 10^-8

Chapter 8

100

Simplify

(5b⁴ - 4b³ +7) - (2b⁴ -2 + b³)

3b⁴ -5b³ + 9

200

Find the product

(5m+5)(8m-3)

40m² +25m -15

300

Factor Completely

10m³+35m²-14m-49

(5m²-7)(2m+7)

400

Factor completely

x²+15x+56

(x+7)(x+8)

500

Factor completely

5p² +31p + 30

(5p+6)(p+5)

Mixed

100

Factor completely

r²-6r-16

(r-8)(r+2)

200

28 < 7n <or= 35

4 < n <or= 5

300

Simplify. Write answer in scientific notation

3.4 x 10⁴ / 4.85 x 10^-1

7.01 x 10⁴

400

Sketch the solution to the system of inequalities

y > x + 2

y >or= 5x - 2

see board

500

Factor completely

12x² + 56x - 196

4(3x-7)(x+7)