subject: Practice Middle School Algebra [print this page] Introduction for middle school algebra: Introduction for middle school algebra:
Algebra will execute the four basic operations such as addition, subtraction, multiplication and division. Algebra uses variables, constant, coefficients, exponents, terms and expressions. The fundamental concept of the algebra is balancing the algebraic equations on both sides. In algebra, we can also use the following properties such as commutative, associative, identities and inverse.
Most Commonly Used Word in Algebra:
Variables
Algebraic variables are the alphabetical characters which are used for assigning the value. While solving the algebraic equation value of the variable will be changed. Widely used variables are x, y, z
Constant
An algebraic constants are the value whose value never changes while solving the algebraic equation. In 2y+5, the value 5 is the constant.
Expressions
An algebraic Expression is the combination of variables, constant, coefficients, exponents, terms which are combined together by the following arithmetic operations, Addition, subtraction, multiplication and division.an example is given below
3x+4y+5
Term
Terms of the algebraic expression is concatenated to form the algebraic expression by the arithmetic operations such as addition, subtraction, multiplication and division. In the following example 3n2 + 2n the terms 3n2, 2n are combined to form the algebraic expression 3n2 + 2n by the addition operation (+)
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Coefficient
The coefficient of an algebraic expression is the value which is present just before the terms. From the following example, 3n^2+ 2n the coefficient of 3n2 is 3 and 2n is 2
Equations
An algebraic equation equals the numbers or expressions. Most probably algebraic equation is used for finding the value of the variable.
Example: y =3x2+4x+6
Rules for Practicing Middle School Algebra
Order of operation or PEMDAS rule is used while solving algebra problems:
1. Reduce whatever in the parentheses,
2. Reduce the exponents.
3. Multiplication or division.
4. Finally, Addition or Subtraction.
Practice Problems for Middle School Algebra:
Procedure for solving algebraic equation:
Step 1: If we want to solve the equation for x, we have to move the x to one side of the equal sign, which is similar to, 10x+10+50=250
Step 2: Do the 'reverse operations.' This means we would want to add -50. So we will get 10x+10=200
Step 3: Now we have to add -10 on both sides of the equation. So we will get 10x=190
Step 4: Now we have to divide both sided by 10. That is 10x/10=190/10. Therefore, x=19
