Solving Equations
6 = −3(x + 2)
-4
(19, −2), (−11, 10)
Suppose y varies directly as x, and y= 16 when x = 8. Find y when x = 16.
x = 32
Simplify:
4x + 2y - 5x + 1y
-1x + 3y
y = -2x
2x + y = 0
24 = 6(−x − 3)
(3, −20), (5, 8)
14
Suppose v varies directly as g, and v = 36 when g = 4. Find v when g = 11.
v = 99
Simplify:
−7(k − 8) + 2k
-5k + 56
2y - 4 = -3x
3x + 2y = 4
6(6v + 6) − 5 = 1 + 6v
-1
(12, −18), (−15, −18)
0
Your distance from lightning varies directly with the time it takes you to hear thunder. If you hear thunder 10 seconds after you see the lightning, you are about 2 miles from the lightning. Write a direct variation equation to represent the scenario.
y = 5x
4 − 5(−4n + 3)
20n - 11
y = x + 2
x - y = -2
12(2k + 11) = 12(2k + 12)
No solution
Write a direct variation equation to represent the following:
The cost of apples that are $3 per pound.
y=3x
Every direct variation passes through which point?
The origin (0,0)
3 − 8(7 − 5n)
y = (3/5)x + 3
3x - 5y = -15
10p + 9 − 11 − p = −2(2p + 4) − 3(2p − 2)
0
Write an equation to model the scenario:
A plumber charges an initial $30 fee, and then $10 per hour after that.
y = 10x + 30
Is y=2x-1 a direct variation? Why or why not?
No - the -1 at the end
−4p − (1 − 6 p)
2p - 1
y = (11/6)x + 2
11x - 6y = -12