Inequalities
Solve the inequality.
5≥7+y
y≤-2
What is slope-intercept form (equation)?
y=mx+b
Parallel lines have the same _______.
slope
Use substitution to solve the system of equations. Write as an ordered pair/coordinate (x,y).
y=x+5
3x+y=25
(5,10)
Use elimination to solve the system of equations. Write your answer as an ordered pair (x,y).
8x+5y=38
-8x+2y=4
(1,6)
Find the inverse of each relation.
(-5,13)
(6,10.8)
(3,11.4)
(-10,14)
(13,-5)
(10.8,6)
(11.4,3)
(14,-10)
Solve the inequality.
k+24 > -5
k> -29
What is point-slope form?
y-y1=m(x-x1)
What is the perpendicular slope of a line that has a slope of 2?
-½
Use substitution to solve the system of equations.
2x-y=6
-3y=-6x+18
infinitely many
Use elimination to solve the system of equations. Write your answer as an ordered pair (x,y).
5m-p=7
7m-p=11
(2,3)
(-4,-49)
(8,35)
(-1,-28)
(4,7)
(-49,-4)
(35,8)
(-28,-1)
(7,4)
Solve the inequality.
-10≤x/-2
x≤20
Write an equation of the line that passes through the given point and has the given slope. (use slope-intercept form)
(2,4), slope 2
y=2x
Find the slope of the line that passes through each pair of points.
(3,7),(-2,4)
⅗
Use substitution to solve the system of equations. Write as an ordered pair/coordinate (x,y).
y=3x-2
y=2x-5
(-3,-11)
Use elimination to solve the system of equations. Write your answer as an ordered pair (x,y).
2x+7y=1
x+5y=2
(-3,1)
Find the inverse of the function.
f(x)=17-1/3x
f⁻¹(x)=-3x+51
Solve the inequality.
-6v> -72
v<12
Write an equation of the line that passes through the given points. (use slope-intercept form)
(-5,3), (0,-7)
y=-2x-7
Determine whether the graphs of each pair of equations are parallel, perpendicular, or neither.
y=-2x
2x+y=3
parallel
Use substitution to solve the system of equations.
3x+y=-5
6x+2y=10
no solution
Use elimination to solve the system of equations. Write your answer as an ordered pair (x,y).
9a-2b=-8
-7a+3b=12
(0,4)
Find the inverse of the function.
f(x)=⅖x+10
f⁻¹(x)=5/2x-25
Solve the inequality.
(2x-4)/6≥ -5x+2
x≥½
Write an equation in point-slope form for the line that passes through each point with the given slope.
(-2,11) m= 4/3
y-11=4/3(x+2)
Determine whether the graphs of each pair of equations are parallel, perpendicular, or neither.
3y=2x+14
2x+3y=2
neither
Use substitution to solve the system of equations. Write as an ordered pair/coordinate (x,y).
2x+y=4
-2x+y=-4
(2,0)
Use elimination to solve the system of equations. Write your answer as an ordered pair (x,y).
-4x+2y=0
10x+3y=8
(½,1)
Find the inverse of the equation.
x+5y=15
f⁻¹(x)=15-5x