Words into Equations
A number k increased by 10 is the same as 24
k + 10 = 24
4y = 56 ; y = 14
4(14) = 56
56 = 56
Yes
65 = 5b
b = 13
The equation A = 25w represents the Area of a rectangular dance floor with a width of w feet.
Dependent = a
Independent = w
Operations that "undo" each other. Ex. The opposite of addition is subtraction.
Inverse Operation
9 less than a number b equals 2
b - 9 = 2
a + 6 = 17 ; a = 9
9 + 6 = 17
15 = 17
No
7x = 105
x = 15
The equation c = 0.09s represents the amount c (in dollars) of commission a salesperson receives for making a sale of s dollars.
Independent = s
Dependent = c
The variable that depends on the other variable
Dependent Variable
The quotient of a number q and 4 is 12
q / 4 = 12
y = 3x + 12 ; (25, 75)
75 = 3(25) + 12
75 = 75 + 12
75 = 87
NO
t/5 = 6
t = 30
The equation h = 60 - 4m represents the heigh h (in inches) of the water in a tank m minutes after it starts to drain.
Independent = m
Dependent = h
The variable that is depended on
Independent Variable
2 1/2 is the same as the sum of a number w and 1/2
2 1/2 = w + 1/2
5x = y ; (10, 50)
5(10) = 50
50 = 50
Yes
136 = 17b
b = 8
The equation E = 360m represents the kinetic energy E (in joules) of a roller coaster car with a mass of m kilograms.
Independent = m
Dependent = E
A Value that makes an equation true
Solution
The quotient of a number t and 5 is the same as 2
t/5 = 2
y = 23x - 3 ; (1, 20)
20 = 23(1) - 3
20 = 23 - 3
20 = 20
Yes
42 = 6 * z
z = 7
The equation c = 12t represents the cost (in dollars) of how many t tickets you are buying for a basketball game.
Independent = t
Dependent = c
A pair of numbers x and y that are to be graphed
Ordered Pairs