Absolute Value
Solve the equation.
|y| - 5 = -3
What is
y = -2, y = 2
Solve the equation.
15 - 2x = 3x
What is
x = 3
Solve the equation.
2g - 13 = 3
What is
g = 8
Solve the literal equation for y.
3x + y = 12
What is
y = 12 - 3x
|-5d| = 15
What is
d = -3, d = 3
Solve the equation.
-3r + 10 = 15r - 8
What is
r = 1
Solve the equation.
36 = 13n - 4n
What is
n = 4
Solve the literal equation for x.
m = 12x - 4x
What is
x = m/8
Solve the equation.
-3|x - 1| + 5 = -7
What is
x = -3, x = 5
Solve the equation.
-9(t - 2) = 4(t - 15)
What is
t = 6
Solve the equation.
(d - 8)/-2 = 12
d = -16
Solve the literal equation for x.
y = 7bx - 11x
What is
x = y/(7b - 11)
Solve the equation.
|x + 6| = 2x
What is
x = 6
(x = -2 is an extraneous solution)
Solve the equation.
10(2y + 2) - y = 2(8y - 8)
What is
y = -12
5h + 2(11 - h) = -5
What is
h = -9
Solve the literal equation for x.
12 - 5x - 4kx = y
What is
x = (y-12)/(-5 - 4k)
Solve the equation.
|5x - 2| = |5x + 4|
What is
x = -1/5 or -0.2
A boat leaves New Orleans and travels upstream on the Mississippi River for 4 hours. The return trip takes only 2.8 hours because the boat travels 3 miles per hour faster downstream due to the current. Set up an equation AND find how far the boat travels upstream.
4x = 2.8(x + 3)
The boat travels 28 miles upstream.
During the summer, you work 30 hours per week at a gas station and earn $8.75 per hour. You also work as a landscaper for $11 per hour and can work as many hours as you want. You want to earn a total of $400 per week. Set up and solve an equation to find how many hours you must work as a landscaper?
What is
30(8.75) + 11t = 400
12.5 hours
Solve the literal equation for c.
a = 2d(b + c)
What is
c = (a/2d) - b