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Linear Inequalities
Linear Equations
Linear Systems
Distance and Midpoint
100

One difference between linear inequalities and equations

"The signs used" or "inequalities flip when multiplied or divided by a negative number"

100
Slopes of parallel lines are __________, while slopes of perpendicular lines are __________________.
The same; negative reciprocals
100

Three types of linear systems.

Parallel lines, the same line , intersecting lines

(One solution, No solution, Infinite solutions)

100

What is the distance formula?

sqrt((x2-x1)2+(y2-y1)2)

200

The solution to 2x + 1 >= 3 and 3x - 4 <= 17

1 <= x  and x<= 7

200

Two ways the equation of a line can be written as

Slope-intercept form y = mx + b General (standard) form Ax + By = C

200
Graph to solve the Linear System. 3y+6x=3 x-y=-7
(-2,5)
200

use the midpoint formula to find the midpoint between the points (-3,6) and (-5,4)

(-4,5)

300

The solution to 5x + 1 < 21  and 3x + 2 > -1

x > -1 and x < 4

300
The equation of the line passing through the points (-1, 5) and (3, -7)
y = -3x + 2
300
Solve the Linear System with Substitution or Elimination. 2x-y=2 3x-2y=11
(8,-11)
300

Find the distance between the points (2,4) and (8,-4)

10 units

400
Thwe solution to n + 4 < 16 and n - 3 > 12
All real numbers
400
Write the Line Parallel to 5y=2x+20 passing through (-1, 3)
y= 2/5x + 17/5
400
Solve the Linear System with Substitution or Elimination. 2x+6y=-8 5x-3y=88
(-7,-16)
400

Use the distance formula to find the distance between the two points (-3,5) and (10,13). Round you answer to the hundredths place

15.26 units.

500
The solution to x + 9 <= 5 and 4x >= 12
No solution
500
Write the Line Perpendicular to 6y+3x=4 passing through (3,2)
y=2x - 4
500
The number of solutions in a consistent dependent linear system.
Infinite
500

Given the end point (9,0) and the midpoint (3,4), find the missing endpoint.

(-3,8)