Which expression is equal to 6rs942r5s2? This intriguing mathematical conundrum invites us on a journey of algebraic exploration. By delving into the realm of expressions and equations, we shall uncover the secrets hidden within this enigmatic equation, unraveling the mysteries of mathematical equivalence.
Our quest begins with an examination of the fundamental concepts of expressions and equations. We will define these terms and explore the concept of equality. We will then turn our attention to variables and constants, identifying the variables and constants present in the expression “6rs942r5s2.”
Expressions and Equations: Which Expression Is Equal To 6rs942r5s2
An expression is a mathematical phrase that represents a value. An equation is a statement that two expressions are equal.
The concept of equality is fundamental in mathematics. It means that two expressions have the same value.
Variables and Constants
A variable is a symbol that represents an unknown value. A constant is a value that does not change.
In the expression “6rs942r5s2”, the variables are “r” and “s”. The constants are “6” and “942”.
Mathematical Operations
The mathematical operations used in the expression are addition, subtraction, and multiplication.
The order of operations is important. Parentheses are evaluated first, followed by exponents, multiplication and division (from left to right), and finally addition and subtraction (from left to right).
Simplifying Expressions
To simplify the expression “6rs942r5s2”, we can combine like terms.
6rs + 942r + 5s2 = (6r + 942r) + 5s2 = 948r + 5s2
Solving Equations, Which expression is equal to 6rs942r5s2
To solve the equation “6rs942r5s2” for the variable “r”, we can isolate “r” on one side of the equation.
6rs + 942r + 5s2 = 0
6rs + 5s2 = -942r
rs + (5/6)s2 = -157r
r = (-5/6)s2 / (s + 157)
Applications
Expressions and equations are used in many real-world applications.
For example, the expression “6rs942r5s2” could be used to calculate the area of a rectangle with a length of “6r + 942r” and a width of “5s2”.
Q&A
What is the first step in simplifying the expression “6rs942r5s2”?
The first step is to identify the variables and constants in the expression.
What is the order of operations used in simplifying algebraic expressions?
The order of operations is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).
How can I solve the equation “6rs942r5s2” for the variable “r”?
To solve the equation for “r,” you can use algebraic techniques such as isolating the variable on one side of the equation and combining like terms.
