Solving Linear Equations
10(5 - n) - 1 = 29
n = 2
5x + 15 < -10
x < -5
4y - 7 + 2y = -3(y - 1) - 1
One Solution
A symbol, usually a letter, that represents one or more numbers is called a
Variable
Solve for y
k = a - y
y = a - k
5(5t + 1) = 25t - 7
t = -7
290n + 120<= 1400
round to the nearest whole number
4
4x + 2(x - 5) = 3(2x -4)
No Solution
Opposite operations that "undo" each other
Inverse Operations
Solve for X
w = x/(a-b)
X = w(a-b) or x = wa - wb
(4x + 6)/2 = (3x - 15)/3
x = -8
-2.1x + 2.1 < 6.3
x > -2
.5t + .25(t + 16) = 4 + .75t
Infinitely Many Solutions
In an algebraic expression _________are terms that have the same variables raised to the same exponents
Solve for M
12(m + 3x) = 18(x - 3m)
m = - 3x/11
.25(2x - 1) + 10 = x
x = 19.5
4(3 - 2x) > -4
x < 2
x + 2(x - 7) = 3x - 7
No Solutions
The relationship between two quantities that is not equal; comparing two values
Inequality
Solve for y
2x + 3y = 12
y = 4 - (2x/3)
3y = (8-12y)/4 + 2
y = 2/3
.25x + 3 - .875x < -2
x > 8
2.5(2x + 5) = 5(x + 2.5)
Infinitely Many Solutions
If an equation is true for all values of the variable, then is has
Infinite Many Solutions
Solve for b
abc = 1/2
b = 1/(2ac)