SI Exam Review Session 2/13

Solving Equations

Complex Numbers

Inequalities

The Coordinate Plane/Lines

Misc.

100

3(1-x) = 6(1+2x) + 9

x=-4/5

100

Find:

(7-3i) - (4-9i)

3+6i

100

5≤ 2x+1 < 13

2≤x<6

[2,6)

100

Find the center and radius of the circle:

(x+3)² + (y-4)² = 12

Center = C(-3,4)

Radius = r = √(12) = 2√(3)

100

| x+5 | <3

(-8,-2)

200

x²+x-42=0

x=-7

x=6

200

Simplify:

i¹⁵

-i

200

(x+4)(x-1)<0

(-4,1)

200

Find the equation of the line through the point (-7,2) with slope of -3.

y=-3x-19

200

Solve the following equation:

√(7+x) = √(x²+1)

x = 3,-2

300

3x²+17x+14=0

x=-14/3

x=-1

300

Evaluate the radical expression and express the results in the form a +bi:

√(-2) * √(-18)

-6

300

(x+3)/(x-1) ≥0

(-∞,-3] U (1,∞)

300

Find the x & y-intercept(s) of the equation:

x²y+16y² =80

no x-intercept

y-intercept: (0, -√(5)) & (0, √(5))

300

Solve the following equation:

2x + √(x+6) = 9

400

9x²+24x+16=0

-4/3

400

Evaluate the product, and write the result in the form a + bi:

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

400

|x-4|≥5

[9,∞) OR (-∞,-1]

400

Find the x & y intercept(s) of the equation:

16x²+ 64y² + 6xy = 64

X-intercepts: (2,0) & (-2,0)

Y-intercepts: (0,1) & (0,-1)

400

Find an equation of the circle that satisfies the given conditions: Endpoints of a diameter are P(-1,2) and Q(7,8)

(x-3)²+ (y-5)²= 25

500

(1/x-2) + (1/x+2) = 6/5

3 OR -4/3

500

Find all solutions of the equation. Simplify your answer completely leaving it in radical form:

6x²+12x+7=0

1± (i√(6))/6)

500

(x-1)²(x+5)>0

(-5,1) U (1,∞)

500

A pair of points is given: (-6,3) and (4,-2)

a. Find the distance between these points.

b. Find the midpoint of the segment that joins them.

c. Find the slope of the line through these points.

a. 5√(5)

b. (-1,1/2)

c. -1/2

500

Find an equation of the line that passes through (5,-2) and is perpendicular to the line:

3x - 5y + 15 = 0

y = (-5/3)x + (19/3)