Chapter Review

Slope

100

Find the slope through these points (4,5) and (-12,-7)

3/4

200

Write an equation that goes through (3,-1) with a slope of 5/3

y = 5/3x - 6

300

Write an equation that goes through the points (5,-3) and (8,6)

y = 3x - 18

400

Write an equation for the line that goes through (4,5) that is parallel to x - 2y = 6

y = 1/2x + 3

500

Write an equation that goes through (-3,-8) that is perpendicular to 3x + 2y = 4

y = 2/3x - 6

Finding Solutions

100

Solve

-4(x+3) - 2 = -6(x+1) + 4

x = 6

200

Solve:

x² = 9(x+4)

x = -3 & 12

300

Find ALL solutions:

3x² - 5x + 7 = 0

(5 +- i sqrt(59))/6

400

x + 4 - 12/x = 0

x = -6 & 2

500

Find all solutions: 

x + sqrt(x) - 6 = 0

x = 4

Imaginary Solutions

100

Simplify:

(-4 - 2i) + (6 - 4i)

2 - 6i

200

Simplify:

(6+ 7i) - (-3 + 6i)

9 + i

300

Simplify:

(6 - 4/6i) - (2 + 7/6i)

4- 11/6i

400

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

26 + 18i

500

(9-i)/(2+3i)

(15-29i)/13

Inequalities

100

12 + 4x > 27

x > 15/4

200

8 - 7x < 36

x > -4

300

-5 < -6 + 4x < 13

1/4 < x < 19/4

400

3(4x - 7) + 3x < 5x + 7

x < 14/5

500

-4(7x - 13) + 15x - 18 > 3(11 - 4x) - 7(5x - 13)

x > 45/17

Absolute Values

100

Solve:

| x - 4 | = 12

x = 16 & -8

200

Solve:

-2|x+4| = 6

No Solution

300

Solve:

6|X+4| - 2 = 34

x = 2 & -10

400

Solve:

16 - |2x+4| >= 12

Write answer in interval notation

[-4,0]

500

|3x+2| > 4

Write answer in interval notation

( - oo,-2) u (2/3, oo)