2­5 Literal Equations and Formulas.notebook
November 07, 2012
2­5 Literal Equations and Formulas
Objective: To solve literal equations
Vocabulary:
Literal equation: is an equation that expresses a relationship among variables.
Formula is an equation that states a relationship among quantities. ­
Formula Name
Formula
Definitions of Variables
Perimeter of a rectangle
P = perimeter, l = length,
w = width
Circumference of a circle
C = circumference,
r = radius
Area of a rectangle
A = area, l = length, w = width
Area of a triangle
A = area, b = base, h = height
A = area, r = radius
Area of a circle
Distance traveled
D = distance, r = rate, t = time
Temperature
C = degrees Celsius, F = degrees Fahrenheit
Examples: Solve each literal equation for the underlined variable.
a) x + 11 = y
b) c) 2x + 4a = 10
d) ay ­ b = 3d + 7b
e) G = 3(t ­ s), find the value of s when G = 12 and t = ­1.
f) L = a + (n ­ 1)d
g) S = n(a + l)
h) 1
2­5 Literal Equations and Formulas.notebook
November 07, 2012
1) Jonah is planting a rectangular garden. The perimeter of the garden is 120 yd, and the width is 20 yd. What is the length of the garden?
2) What is the radius of a circle with circumference 64 ft? Round to the nearest tenth. Use 3.14 for π.
2