Solving Equations
Solve for x:
x + 7 = 15
x = 8
Solve and graph:
x + 3 > 8
x > 5
Solve:
|x| = 5
x = 5 or x = -5
If f(x) = 2x + 3, find f(4)
f(4) = 11
Is this an equation or an inequality?
2x + 5 = 13
Equation
Solve for b:
3b = 24
b = 8
Solve:
2x - 5 < 11
x < 8
Solve:
|x - 3| = 7
x = 10 or x = -4
If g(x) = x² - 5, find g(3)
g(3) = 4
Solve:
a - 5 = 13
a = 18
Solve for x:
5x + 10 = 45
x =7
Solve: -3x ≥ 12
x ≤ -4
(Remember: flip the inequality sign when multiplying or dividing by a negative number!)
Solve:
|2x| = 16
x = 8 or x = -8
If h(x) = -x + 8, find h(-2)
h(-2) = 10
Solve:
|x| < 4
-4 < x < 4
Solve for k:
6 - 4k = 30
k = -6
Solve:
4x + 2 ≤ 18
x ≤ 4
Solve:
|x + 4| = 9
x = 5 or x = -13
If f(x) = 3x² + 2x - 1, find f(2)
f(2) = 15
If f(x) = 5x - 7, solve f(x) = 18
x = 5
Solve for n:
The sum of five consecutive even integers is 140. Find n.
(The integers are: n - 2, n, n + 2, n + 4, n + 6)
n = 26
Solve:
-2x + 7 > 19
x < -6
Solve:
|3x - 6| = 12
x = 6 or x = -2
If p(x) = |x - 5| + 2, find p(1)
p(1) = 6
The sum of three consecutive odd integers is 339. Find the largest number.
3n
3n + 2
3n + 4
115