Vocabulary
The distance a number is from 0 on the number line
Absolute Value
Solve for x:
x + 13 = 37
x = 24
(-3d) = 15
d = -5 and d = 5
y - 3x = 13
y = 3x + 13
28 - -6
34
How much space a 3-dimensional object takes up
Volume
2x - 7 = 3x - 10
x = 3
(p+4) = (p+2)
p = -1
20x + 5y = 15
y = -4x + 3 or y = 3 - 4x
Write an absolute value equation from the graph:
(x + 3) = 3
An apparent solution that must be rejected because it does not satisfy the original equation
Extraneous Solution
2(1 - x) + 2 = -8
x = -6
(x-2) + 5 = 9
x = 6 and x = -2
6x - 3y = -6
y = 2x + 2
Write an absolute value equation from the graph:
(x - 7.5) = 3.5
A statement that has two expressions that are equal to one another
Equation
3(5x + 2) = 15x
No solution
4(p - 3) = (2p + 8)
p = 2/3 and p = 10
16x + 9 = 9y - 2x
y = 2x + 1
Write an absolute value equation from the given solutions: x = 15 and x = 31
(x - 23) = 8
An equation that has two or more variables
Literal Equation
4(1 - p) = -4p + 4
Infinitely Many Solutions
-3(1 - 2/3v) = -9
v = -3 and v = 6
2 + 1/6y = 3x + 4
y = 18x + 12
Write an absolute value equation from the given solutions: x = -17 and x = 9
(x + 4) = 13