To write an equation if two expressions are equal, simply use the equals sign (=) between them.
Now let’s take a closer look
To write an equation if two expressions are equal, simply use the equals sign (=) between them. This indicates that both expressions have the same value. As Albert Einstein once said, “Pure mathematics is, in its way, the poetry of logical ideas.”
Here are some interesting facts about equations:
An equation is a mathematical statement that shows that two expressions are equal.
The equals sign (=) was first introduced by Welsh mathematician Robert Recorde in 1557. Before this, mathematicians often used phrases such as “is equal to” to denote equality.
An equation can have one variable, such as x, or multiple variables.
Equations can be solved using various methods, such as algebraic manipulation or graphing.
Equations are used in many fields, including physics, engineering, and economics.
Here is a table showing some examples of equations:
Equation
Meaning
2 + 3 = 5
Two plus three is equal to five
x = 4
x is equal to four
2x + 5 = 11
Two times x plus five is equal to eleven
a^2 + b^2 = c^2
The sum of the squares of a and b is equal to the square of c
Remember, when writing an equation, always use the equals sign (=) to show that two expressions are equal.
Answer to your inquiry in video form
The video demonstrates how to find equivalent expressions by combining like terms and using the distributive property. They take an example expression and rewrite it to simplify the terms. By doing so, they find that the expression is equivalent to another expression, which they confirm by comparing it to given answer choices.
How to show two expressions are equal?Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.
An equation is a statement that two expressions are equal. For example, the expression 5 + 3 5 +3 is equal to the expression 6 + 2 6 +2 (because they both equal 8 8), so we can write the following equation: 5 + 3 = 6 + 2 5 + 3 = 6 + 2
The equation will be:
125+0.15x=75+0.40x
The equation is solved as follows.
125+0.15x=75+0.40×125−75=0.40x−0.15×50=0.25xx=200
You will probably be interested
What if two equations are equal?
The reply will be: Two systems of equations are equivalent if they have the same solution(s). This article reviews how to tell if two systems are equivalent. Systems of equations that have the same solution are called equivalent systems.
What is a mathematical sentence in which two expressions are equal?
In reply to that: equation An equation is a mathematical statement or sentence comprised of two equalities or expressions joined with an equal sign.
What is it called when both sides of an equation are equal?
Response: Any value of the variable which makes both sides of an equation equal is known as a solution of the equation.
Are the two expressions equal?
Response will be: Two expressions are equivalent if they can be simplified to the same third expression or if one of the expressions can be written like the other. In addition, you can also determine if two expressions are equivalent when values are substituted in for the variable and both arrive at the same answer.
Do all equations have an equal sign?
The response is: All equations have an equal sign ( = = ). The = = sign is not an operator like addition ( + +) or subtraction ( – −) symbols. The equal sign doesn’t tell us what to do. It only tells us that two expressions are equal. For example, in: The – − sign tells us what to do with 6 6 and 2 2: subtract 2 2 from 6 6.
How do you know if two algebraic expressions are equivalent?
In reply to that: If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable. To check whether a more complex expression is equivalent to a simpler expression: -term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.
What is an equation made up of?
An equation is made up of two expressions that are equal to each other. Equations may or may not have variables. What is an example of an equation? An equation is two expressions that equal each other. Hence, an example of an equation would be 3x + 2 = x – 5. What are Equations & Formulae? Maths is made up of expressions, equations, and formulas.
What is the difference between an expression and an equation?
An expression is a combination of digits, variables, and mathematical operations. Equations are two expressions that are equal to each other. Must have an equal sign. May or may not include variables. To unlock this lesson you must be a Study.com Member.
What is an equation if two expressions are equal?
An equation is a mathematical statement showing that two expressions are equal. The two expressions are linked with an equals symbol (=). must be found. In the equation 3\\ (x\\) + 4 = 25, the unknown variable is \\ (x\\) The unknown variable (often the letter \\ (x\\)) can take any value, including decimal and negative values.
What is an equation made up of?
Answer: An equation is made up of two expressions that are equal to each other. Equations may or may not have variables. What is an example of an equation? An equation is two expressions that equal each other. Hence, an example of an equation would be 3x + 2 = x – 5. What are Equations & Formulae? Maths is made up of expressions, equations, and formulas.
Are all equations true equations?
Response will be: All of the equations we just looked at were true equations because the expression on the left-hand side was equal to the expression on the right-hand side. A false equation has an = =, but the two expressions are not equal to each other. For example, the following is a false equation.
Do all equations have an equal sign?
All equations have an equal sign ( = = ). The = = sign is not an operator like addition ( + +) or subtraction ( – −) symbols. The equal sign doesn’t tell us what to do. It only tells us that two expressions are equal. For example, in: The – − sign tells us what to do with 6 6 and 2 2: subtract 2 2 from 6 6.
