(7t+5s)_(5s_7t) Related: How are Expressions Formed?- Variables and T...
Variables and Terms
In algebra, expressions are formed using variables and terms.
Variables: Variables are symbols that represent unknown quantities or values. They are usually represented by letters such as x, y, or z. Variables can take on different values, and their values can change in different situations. For example, in the expression 7x + 3y, x and y are variables.
Terms: Terms are the building blocks of algebraic expressions. They can be numbers, variables, or a combination of both, separated by operations like addition, subtraction, multiplication, or division. Terms are usually separated by plus or minus signs. For example, in the expression 7x + 3y, 7x and 3y are the terms.
Algebraic Expression
An algebraic expression is a combination of variables, constants, and operations. It represents a mathematical relationship or a rule. Algebraic expressions can be simple or complex, depending on the number of terms and operations involved.
The expression (7t + 5s) represents the sum of two terms: 7t and 5s. The terms are combined using addition. The expression (5s - 7t) represents the difference between the terms 5s and 7t, which are combined using subtraction.
Class 7 Math
In class 7 math, students learn about algebraic expressions and how to simplify and evaluate them. They also learn about different operations like addition, subtraction, multiplication, and division that can be performed on algebraic expressions.
One important concept is the distributive property, which states that the product of a number and a sum or difference is equal to the sum or difference of the products of the number with each term. For example, in the expression 3(a + b), the distributive property allows us to distribute the 3 to both a and b, resulting in 3a + 3b.
Students also learn about like terms, which are terms that have the same variables raised to the same exponents. Like terms can be combined or simplified by adding or subtracting their coefficients. For example, in the expression 5x + 2x, the like terms 5x and 2x can be combined to give 7x.
Additionally, students learn about the order of operations, which is the set of rules that dictate the sequence in which operations should be performed in an expression. The order of operations is often remembered using the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
By understanding variables, terms, algebraic expressions, and related concepts, students in class 7 math can solve problems involving equations, inequalities, and real-life situations that require algebraic reasoning and problem-solving skills.