Solving Equations
Writing Linear Equations
Geometry on a Coordinate Plane
100
Solve the equation:
7+3x=37
x=10
100
Write an equation in slope-intercept form:
(-2, -5) m = 5
y=5x+5
100
Write an equation of a line parallel to the given line and passing through the given point:
(8, -2)
y=3/4x-5
y=3/4x-8
200
Solve the equation:
-6=2/3x-8
x=3
200
Write an equation in slope intercept form:
(-2, 6) (4, 18)
y=2x+10
200
Write the equation of the line parallel to the given line and passing through the given point:
(4,2)
y=-3x+1
y=-3x+14
300
Solve the equation:
5=3(x-5)+2
x=6
300
Write an equation in standard form:
Joe went to Valley Fair with his friends. Valley Fair charges $8 per turn for every roller coaster (x). All other rides (y) cost $5 per turn. Joe has $75 to spend on rides. Write an equation to model this situation.
8x+5y=75
300
Write an equation of the line perpendicular to the given line and passing through the given point:
(-4, -8)
y=2x+3
y=-1/2x-10
400
Solve the equation:
3n-2(4n-1)=37
n=-7
400
Write an equation in point slope form:
(9, -2) (-3, 2)
y+2=-1/3(x-9)
or y-2=-1/3(x+3)
400
Write the equation of the line perpendicular to the given line and passing through the given point:
(15, -9)
y=5/4x-7
y=-4/5x+3
500
Solve the equation:
-14+3(x+10)=7(2x+4)+x
x=-1
500
Rewrite the equation in slope intercept form:
-3x-5y=-20
y=-3/5x+4
500
Quadrilateral ABCD is drawn below. Prove why ABCD is a rectangle.
Slope of AB:
-2/3
Slope of BC:
3/2
Slope of CD:
-2/3
Slope of AD:
3/2