Systems of Equations
Distance Formula
Linear One-Variable Inequalities
Linear Two-Variable Inequalities
100

Find the intersection point of the following lines:

y=−5

5x+4y=−20

(0,-5)

100

Find the distance between the points on the graph. 

d=sqrt80=4sqrt5

100

Solve the linear simple inequality  7(1−5n)−(n+3)≥4 on a number line.

100

Graph x\leq0 .


200

Find the intersection point of the following lines:

4x+2y=10

x−y=13

(6,-7)

200

Find the distance between the points (-3,3) and (2,-4).     

d=sqrt74

200

Write the following inequalities in interval notation.

x\in(-\infty,5)\cup(7,+\infty) 

and 

x\in[0,3)

200

Build the inequality from the graph:


y<2

300

Find the intersection point of the following lines:

y=−3x+4

y=3x−2

(1,1)

300

Find the area of the following triangle:

*Remember that  A_{triangle}=1/2*b*h 

A=48

300

Solve the linear compound inequality -9\leqx-10\leq-5 in interval notation.

x\in[1,5]

300

Graph y>−3x+1 .


400

Find the intersection point of the following lines:

-8x-10y=24

6x+5y=2

(7,-8)

400

Find the perimeter of the following triangle:

P=sqrt40+2sqrt50

400

Solve the linear compound inequality -7k<-3k-4 or 5k+2\leq8-k in interval notation.

k\in(-\infty,+\infty) 

400

Solve and graph −4x\leq12−3y  .

y\leq4/3x+4



500

Find the intersection point of the following lines:

-16y=22+6x

-11y-4x=15

(-1,-1)

500

Find the possible values for the coordinate y if the distance between the points (6,5) and (8,y) is  sqrt40 .

y=11

or 

y=-1

500

Solve the linear compound inequality 1+2/3a>1 and -8/3a-11/3\geq-9  in interval notation.

a\in(0,2]

500

Build the inequality from the graph:


y\leq2/5x+2