Precalc Ch. P Review

Linear Equations

100

Write the equation in slope intercept that passes through (3,4) with slope 1

y = x + 1

200

Write the equation of the line through (1, 5) and perpendicular to x =  -2

y =  5

300

Write the equation in slope intercept that is perpendicular to y = -5x -8 through (-5,1)

y = 1/5 x + 2

400

Write the equation in slope intercept that is parallel to 2x - 3y = -7 through (-5, -8)

y = 2/3 x - 14/3

500

Write the equation in slope intercept form for the line through the pair of points. ( -1,  3) and ( 5,  1)

y = -1/3 x + 8

Solving Equations

100

Solve by factoring x² - x = 56

x = -7, 8

200

Solve by factoring 2x²  - 7x  - 4 = 0

x = -1/2, 4

300

Solve by using quadratic formula 2x² + 11x +  4 = 0 Round 2 decimals.

x =  -5.11 and x =  -0.39

400

Solve by completing the square x²  + 12x  + 11 = 0

x = -1,  -11

500

Solve by completing the square x²  + 4x =  7

x = -2 +- sqrt(11)

Complex Numbers

100

Simplify 4 - sqrt(-8)

4 - 2 sqrt(2)i

200

Simplify ( 8  - 9i) + ( 5  + 6i)

13 - 3i

300

Write the complex conjugate and find the product 6+sqrt(6)

6 - sqrt(6)

=42

400

Write the expression in standard form (9+2i)/(3-6i)

1/3 + 4/3 i

500

[(1+i)(3-i)]/(2+3i)

14/13 - 8/13 i

Inequalities

100

|x+2| ≤ 6

[-8,4]

-8≤x≤4

200

|4x-5|≥6

x≤-1/4 x≥11/4

300

x²  - 4x  - 21 < 0

(-3,7)

-3<x<7

400

|(x-3)/4| ≤1

[-1,7]

-1≤x≤7

500

x² + 6x + 5 ≥ 0

x≤-5 x≥-1

Misc

100

Name a color that ends in "urple"

purple

plurple

200

Simplify (2/xy²)^-3

(x³y⁶)/8

300

Name 3 ways of solving a quadratic

1. factoring

2. quadratic formula

3. graphing

4. completing the square

400

Find the standard form of the equation of the circle Center ( -7,  4), radius 6

(x+7)² + (y-4)² = 36

500

A flare fired from the bottom of a gorge is visible only when the flare is above the rim. If it is fired with an initial velocity of  192 ft/sec, and the gorge is  560 ft deep, during what interval can the flare be seen? 

5 < t <  7