1) When a quantity (variable n) in an equation is not know and you are trying to evaluate it. For example, if a banana costs 5 cents, how many can you buy for 25 cents. We solve this by saying
Let n be the number of bananas that we can buy for 25 cents, then we have
5 x n = 25 and hence n = (25/5) = 5
2) When you want to express the general term in a series. For example the arithmetic series 1, 4, 7, 10, 13, 16,.......... is really
1, (1+3), (1+6), (1+9), (1+12), (1+15).......... and in general for such an arithmetic series you can find the 100th, 223rd, 567th term without writing down the long chain of numbers. How? we see a pattern in the arithmetic series. If we represent the starting number (1 in our case) as "a"and the equal increment from one term to the next (that's how an aritmetic series is defined) as "r" then the formlua "a + (n-1)r" gives you the n-th number. Remember that in the illustration above 1 is considered the 1st term in the series, (1+3) is the2nd term, (1+6) is the3rd term and so on.
To write an expression that represents the sum of a number and 12, you can use a variable to represent the unknown number. For example, if you let the variable ( x ) represent the number, the expression would be ( x + 12 ). This indicates that you are adding 12 to whatever value ( x ) holds.
Assuming you call your number "n", the expression would be "14n". You can replace "n" with whatever variable you want to use.
To represent the phrase "the number of dogs" as a variable expression, you can simply use the variable ( d ). In this case, ( d ) stands for the total count of dogs being referred to. If you need to express a specific quantity or perform calculations, you can manipulate this variable accordingly, such as ( d + 2 ) for two additional dogs.
To translate "some number minus 2" into a mathematical expression, you can use a variable to represent the unknown number, typically denoted as ( x ). The expression would then be written as ( x - 2 ), indicating that you subtract 2 from that unknown number.
Roman numerals use letters in place of numbers. An unknown variable in algebra uses a letter instead of a number.
when ther is no number
it is the number you would use to solve the problem
(x + 9)
A variable is a letter that represents a number. An expression that contains at least one variable is called variable expression, also called algebraic expression. A variable expression has one or more terms. A term is a number, a variable, or a product of numbers and variables. For example,3(x^2)y + 2xy + x - 7 is a variable expression, where you have 4 terms.When working with variable expression, you often use the substitution principle:If a = b, then a may be replaced by b in any expression.The set of numbers that a variable may be represent is called replacement set, or domain, of the variable. To evaluate a variable expression, you replace each variable with one of its values and simplify the numerical expression that results.Example: Evaluate the expression 2x - 4y for x = 5 and y = -9.Solution:2x - 4y= 2(5) - 4(-9)= 10 + 36=46
x + 138
In this case, you'll have to use a variable. Variables are basically a symbol which stands for a number. Let's use the variable "m". You're searching for 58 less than a number. That is basically just "word form" for a number, or a variable, minus 58. So if we use the variable "m", the expression will be m-58. Remember that you can use any variable you want.
To write an expression that represents the sum of a number and 12, you can use a variable to represent the unknown number. For example, if you let the variable ( x ) represent the number, the expression would be ( x + 12 ). This indicates that you are adding 12 to whatever value ( x ) holds.
Assuming you call your number "n", the expression would be "14n". You can replace "n" with whatever variable you want to use.
Translate the following phrase into a variable expression. Use the letter d to name the variable. …7 times the distance
that we can use it
Roman numerals use letters in place of numbers. An unknown variable in algebra uses a letter instead of a number.
we will use the variable 's' to represent your savings: 2s+10