Solving Equations & Inequalities
35 = 7(2x - 8)
x = 13/2 or 6.5
12/x = 4/11
x = 33
Write in slope-intercept form and graph
6x + 3y = 15
y = -2x + 5
Write an equation for a horizontal line
y = ___
Write the equation for a line parallel to y = 2x - 5
y = 2x + ___
3x + 12 - 9x = 12 - 6x
All Real Numbers
-9/4 = 3x/20
x = -15
Find the intercepts and then graph
-6x + 9y = -18
x = 3
y = -2
Write an equation for a vertical line
x = ___
Write the equation for a line perpendicular to
y = 3x - 4
y = -1/3x + ___
4(3x + 5) = 12 - 2x
x = -4/7
(x-3)/4 = -5/3
x = -11/3
Find the intercepts and then graph
8x = 12y - 18
x = -2.25
y = 1.5
Write an equation in point-slope form for a line with a slope of 2/3 and through the point (1, 4)
y - 4 = 2/3(x - 1)
Is this a vertical or horizontal line or neither?
y = 5
3x - 5(x + 3) = 16 - 4x
x = 31/2 or 16.5
4/(5-2x) = 3/(3x-1)
x = 19/18
Write in slope-intercept form and graph
9x = 12 - 6y
y = -3/2x + 2
Write an equation in slope-intercept form for a line passing through (3,4) and (5,10)
y = 3x - 5
Are these lines parallel, perpendicular, or neither?
-3x + 4y = 15
9x - 12y = 24
Parallel
Magnets cost $10 plus $1.25 each to produce. You sell them for $1.75. How many magnets were sold to make a profit of $60?
140 magnets
If a 20' tall flagpole casts a 6' tall shadow, how long is the shadow for a 15' tall building at the same time of day?
4.5'
A rock climber is descending down a 500' tall cliff.
After 8 minutes, he is at a height of 280'. Find the height as a linear function of time and graph it.
h(t) = -27.5t + 500
Write the equation for a line that passes through (2,6) and (3,9)
y = 3x
Write equation for a line through (-3,4) and perpendicular to y = 3/2x + 9
y = -2/3x + 2