algebraic expression

Question

Can you show me an example of an algebraic expression

Answer 1

Hi!

Simply put, anything algebraic has variables involved and an expression is a mathematical statement WITHOUT an equal sign. Therefore an algebraic expression is a mathematical statement that has variables and doesn't have an equal sign!

Ex: 3x-5

Numerical has only numbers

Algebraic has variables and numbers

Expression has no equal sign

Equation has equal sign

2+3=5 is a numerical equation

2+3 is a numerical expression

x+3 is an algebraic expression

x+3=5 is an algebraic equation

Hope that helps!

Answer 2

An algebraic expression is a combination of numbers, variables, and operations.

1. You already know what a number is!
2. A variable is just a symbol that represents a number. We usually use letters to symbolize variables - they can be uppercase, lowercase, Greek, etc. (When my kids were in kindergarten, they used pictures like stars and apples!)
3. An operation is +, -, ×, ÷, an exponent, or parentheses. In algebraic expressions, we use / for division and nothing at all for multiplication. So 2a is the algebraic way of saying 2 × a.

Here are some examples, from simple to more complicated.

3a

17-25x

y²+3y+7

mx+b

(x+3)(x-4)

z³y+5z²y²

(3x²-12x+23)/(2y-9)

SIDE NOTE:

You can do math with expressions, just like you do with numbers. You can add, subtract, multiply, and divide expressions by each other. You can also calculate the value of an expression if someone gives you a number for the variable. For example, if a=4, then 3a = 3×4 = 12. Or, since a can be any number: if a=5, then 3a = 15. If a=6, then 3a = 18. And so on. This gives us a clue about what comes next: creating equations and graphs with expressions. These tell us how two variables are related to each other - how one variable (like x) changes when you change another variable (like y).

Answer 3

An algebraic expression is a combination of alphabets(called as variables, whose values keep changing), Numbers(Called as Constants or coefficients if they are prefixed for variables, these values don't change) and operations ( The mathematical symbols +,-,*,/ which represent the relationship between the variables and constants).

Example 1: "There are 3 times the apples(A) than there are oranges(O) in a basket ".

The algebraic expression to show this would be : A=3.O. so If O= 4 then A = 3X 4 = 12.

Here, A & O are variables, 3 is coefficient of O,

(Also, Note that though not explicitly written the coefficient of A is 1)

Example 2 : "My age is Double of my son's age and 5 years more". The algebraic expression to show this would be: My Age is represented as X; my son's age is represented as Y

X = 3Y + 5. So if my son's age is 15, I am 35 Years old.

Here, X & Y are variables, 3 is coefficient of Y and Coefficient of X is 1 (though not written) and 5 is a constant. The operations in this expression are 'multiplication' (between 3 and Y though the sign/operator is not explicitly written) and addition between 3Y and 5 shown with the operator +.

Hope these examples help you get started. For more guidance, please contact me.

Answer 4

Hey Jamila!! I know Algebra 1 might be overwhelming, but here is a very simple explanation for it!!

An algebraic expression is basically any expression that includes, constants, variables, and an operation

1. "constants" --> Any values such as (1, 2, 6, 199, 40, 8, 1/2, 0.5)
2. "variables" --> Any symbol such as (x, y, o, q, p, a)
3. "operation" --> Any basic mathematical operation such as (+, -, /, *)

Examples of Algebraic Expressions:

1. 2x - 10 +9
2. 2x^2 + 5
3. 32t + 16

Always remember that I offer a very competitive rate of $25/hr for my online sessions and I am always happy to adjust to your availability Jamila!!

Answer 5

An algebraic expression is any expression with variables. Examples include:

x

4x³

2x-6

5x³-2x²+6x+3