b = 5a + 7
if a=2, determine the value of b
b = 17
if y=2, determine the value of x
x = 1
if m=1 and n=1, determine the value of r
r = 1
if t=9, determine the value of g
g = -1
What does the letter in a formula represent?
The letter in a formula represents a variable, which is a value that can change. It stands for a number we don’t know yet or that can vary depending on the situation.
if a=5, determine the value of b
b = 32
if y=0, determine the value of x
x = -2
if m=7 and n=2, determine the value of r
r = 17
if t=-1, determine the value of g
g = 1
True of False? Justify your answer.
A formula can only be used to find one specific variable.
FALSE, the formula can be used to find any variable in it as long as we have the value of the other variable(s).
if a=9, determine the value of b
b = 52
if y=5, determine the value of x
x = 5.5
if r=0 and n=3, determine the value of m
m = 2
if t=-31, determine the value of g
g = 7
True of False? Justify your answer.
Constants are numbers in a formula that do not change.
TRUE, the constants don't vary, and they are represented as a fixed number.
if b=22, determine the value of a
a = 3
if x=-11, determine the value of y
y = 6
if r=-14 and n=-2, determine the value of m
m =-6
if g=2, determine the value of t
t = -6
True of False? Justify your answer.
Rearranging a formula changes the relationship between the variables.
FALSE, rearranging a formula doesn't change the relationship between the variables because the equation is still balanced as long as we use the correct inverse operations.
if b=7, determine the value of a
a = 0
if x=2.5, determine the value of y
x = 3
if r=23 and m=5, determine the value of n
n = -4
if g=-5, determine the value of t
t = 29
How can the same formula be used to find different unknown values?
The same formula can be rearranged to solve for different variables. By isolating a different letter each time, we can use the same relationship to find different unknown values.