This video will help you understand Algebraic Expressions, parts of Expressions, Terms, like terms, constants, coefficients, variables and also how to combine terms in an algebraic expressions. Common Core State Standards 7.EE.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. Algebraic Expressions
An Expression is a mathematical phrase which combines, numbers, variables and operators to show the value of something.
Algebraic Expressions are like x+5, 2x+7, 3y+7z+9c with variables.
Each term in an algebraic expression is separated by a + sign or - sign.
Parts of an algebraic expression are called terms.
In the expression 5x+3y-8, the terms are 5x, 3y, and -8.(3 terms) and -8 is called a constant.
When a term is made up of a constant multiplied by a variable or variables, that constant is called a coefficient.
In the term 5x, 5 is called the coefficient of x and x is called the variable.
Parts of an algebraic expression are called terms.
Like terms are terms that have the same variables raised to the same exponents.
Constant terms are also like terms.
Examples of like terms are
7x,x,3x,0.5x,-2x
8y,11y,7.3y,y,100y
3,7,84,72,35,0.8
Unlike terms are terms with different variables or with the same variables raised to different exponents.
Examples of unlike terms are
7x, 7y, 3z, a ;
8,x,2y,a,7b
An algebraic expression is in simplest form when it has no like terms and no parentheses. To remove the parentheses, use the distributive property and then to combine like terms that have variables, add or subtract the coefficients.
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