Equations and Inequalities

Parallel and Perpendicular Equations

100

The slope of a line parallel to 

y=2x+7

What is 2

200

The slope of a line perpendicular to 

y=1/2x-3

What is -2

300

Write the equation of a line parallel that passes through (1,1)

y=7x-1                                 

What is 

y=7x-6

400

Write the equation of a line perpendicular that passes through the point (2,3)

y=2x+5

y=-1/2x+4

500

Write the equation of a line parallel to the line containing the points (9,3)(-1,4) that passes through the point (0,0)

What is 

y=-1/10x

Solving Inequalities

100

2x+3>6

What is 

x>3/2

200

13>1+4x>5

What is 

1>x>3

300

(x-3)/2<-5 or -2x<-14

What is 

x>7 or x<-7

400

2x>4 or 3x+4>19

What is 

x>2

500

25<5x+5 and 4x<-16

What is NO SOLUTION

Absolute Value Equations

100

abs(x+4)=6

What is 

x=2 and x=-10

200

2abs(2x+6)=10

What is 

x=-1/2 and x=-11/2

300

1+3abs(x)=16

What is 

x=5 and x=-5

400

1/2abs(2x)=10

What is 

x=10 and x=-10

500

(abs(x-2))/12=2

What is 

x=26 and x=22

Absolute Value Inequalities

100

abs(x-2)<5

-3<x<7

200

abs(x+3)>1

x> -2 or x<-4

300

abs(3x+4)>8

x<-4 or x>4/3

400

2abs(x-9)>6

x>12 or x<6

500

abs((5x+2)/6)>7

x>8 or x<-8.4

Linear Inequalities

100

y>x+2

y int. 2, slope 1, dotted line, shaded away from zero

200

y<2x+6

y int. 6, slope of 2, dotted line, shaded on zero

300

2y>x+4

y int. 2, slope of .5, dotted line, shaded away from zero

400

1+y<5x

y int. -1, slope of 5, dotted line, shaded away from zero

500

2x+6y<30

y int. 5, slope of -1/3, dotted line, shaded on zero