Literal Equations
Solve the formula
y = x + b for x.
What is x = y - b?
Solve for x:
lx - 3l = 7
What is
x = 10 or x = -4
Solve for x:
lxl < 5
What is
-5 < x < 5?
Solve the compound inequality:
x + 2 > 5 and x - 1 < 8
What is 3 < x < 9
A national park’s annual visitor count between 2000 and 2020 is modeled by V = -50lx - 12l + 850, where V is the annual visitor count in thousands and x is the number of years since January 1, 2000. In what calendar years was the annual visitor count 650 thousand?
Answer: What are 2008 and 2016?
Solve the formula
y = ax - b for x.
x = (y + b)/a
Solve for x:
l2x - 4l = 12
What is
x = 8 or x = -4
Solve for x:
lx - 2l >6
What is
x<4 or x>8
Solve the compound inequality:
3x - 4 > 5 or 1 - 2x > 7
What is
x < -3 or x > 3?
Solve the perimeter formula
P = 2w + 2l for w.
What is
w = (P - 2l)/2
or w = P/2 - l
Solve for x:
lx + 1l - 4 = 10
What is
x = 6 or x = -8
Solve for x:
-3lx - 4l + 1 > -23
What is
-2 < x <6
Solve the compound inequality:
-2 < 2x + 4 < 10
What is
-3 < x < 3?
Solve for h:
A = 1/2bh
What is
h = 2A/b
Solve for x:
l3x - 5l + 8 = 3
What is No Solution?
Solve for x: -2l3x - 6l + 5 > -7
What is
0 < x < 4?
A rectangle has dimensions 4x and 5. Find the area. Solve the compound inequality 100 < A <1000 for x.
What is
5 < x < 50?
Solve for y
3x + 2y = 12
What is
y = -3/2x + 6
or y = (12 - 3x)/2
Solve for x:
l3x - 5l + 8 > 3
What is All Real Numbers
or Infinitely Many Solutions?
Solve for x:
4lx + 1l + 7 < 3
No Solution?
lx + 1l < -1
A rectangle has dimensions 3x and 6. Find the area. Solve the compound inequality 180 < A < 900 for x.
What is
10 < x < 50?