Unit 1 Review

Linear Equations

100

3(4 - x) = -12

x = 8

200

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

x = -1/3 

300

x/2  +  5  = 3/2

x = -7

400

(x+1)/3  +  (2x-3)/2  =  5

x = 4 5/8 

500

(x-1)/2x  +  (x+3)/4x  =  (x+5)/8x

x = 3/5 

Complex #'s

100

Square root of (-45)

x = 3i sq root 5

200

i^23 

-i

300

sq. root (-15) * sq. root (5)

5i times sq. root (3)

400

3i - 4 + 2i + 9 - 3i - 11

2i - 6

500

(3i - 1)(4i + 2)

2i - 14

Quadratic Equations

100

solve (3 + x)(4 + x) = 0

x = -3  &  x = -4

200

Solve, x^2 - 4x + 5 = 0

x = -1  &  x = 5

300

Solve, 3(x + 2)² = -27

x = -2 + 3i  &  x = -2 - 3i

400

Solve, 4x2 + 4x + 8 = 0

x = [-1 + i sq.root(7)]/7

x = [-1 -  i sq.root(7)]/7

500

Solve, 3x2 - 3x = 9

x = -1 + sq.root(13)

x = -1 - sq.root(13)

Linear Inequalities

100

Solve, 3( 2 - x) > 12

x < -2

200

2x/3+1/5 < 2

x < 2 7/10 

300

Solve,  -3 < 2x + 5 < 11

-4 < x < 3

400

Solve,  3x -1 < -7 or ½ x - 8 > 2

x < -2  or  x > 20

500

Solve,  3| 2x + 4| < 12

-4 < x < 0

Random

100

Solve x - 1 = -4

x = -3

200

simplify the sq. root of 90

3 times the sq. root of 10

300

Solve  x/4 = 9/12

x = 3

400

Solve, I = prt for t

t = I/pr

500

If the area of a rectangle is 36 and the length is 5 less than the width, find the length and width of the rectangle. 

width = 9

length = 4