Key Differences Between Expression and Equation The points given below summarises important differences between expression and equation: A mathematical phrase that groups together numbers, variables, and operators, to show the value of something is called expression.
An equation is described as a mathematical statement with two expressions set equal to one another. An expression is a sentence fragment that stands for a single numerical value.
On the contrary, an equation is a sentence showing equality between two expressions. The expression is simplified, through evaluation where we substitute values in place of variables.
Conversely, an equation is solved. On the other hand, there is no relation symbol in an expression. An equation is two sided, where an equal sign separates the left and right sides. Unlike, an expression is one-sided, there is no demarcation like left or right side. Let represent the width of the rectangle.
Write an expression for the length of the rectangle. The width of a rectangle is meters greater than the length. Let represent the length of the rectangle. Write an expression for the width of the rectangle. Blanca has dimes and quarters in her purse.
The number of dimes is less than times the number of quarters. Let represent the number of quarters. Write an expression for the number of dimes. Geoffrey has dimes and quarters in his pocket. The number of dimes is seven less than six times the number of quarters. Lauren has dimes and nickels in her purse. The number of dimes is eight more than four times the number of nickels. Let represent the number of nickels. Identify Terms, Coefficients, and Like Terms. Simplify Expressions by Combining Like Terms.
Translate English Phrases into Algebraic Expressions. In the following exercises, translate the given word phrase into an algebraic expression.
The difference of and. The product of and. The sum of and. The quotient of and. Eight times the difference of and nine. Seven times the difference of and one. Five times the sum of and. Nine times five less than twice.
Adele bought a skirt and a blouse. The skirt cost more than the blouse. Let represent the cost of the blouse. Write an expression for the cost of the skirt.
Eric has rock and classical CDs in his car. The number of rock CDs is more than the number of classical CDs. Let represent the number of classical CDs. Write an expression for the number of rock CDs.
The number of girls in a second-grade class is less than the number of boys. Let represent the number of boys. Write an expression for the number of girls. Marcella has fewer male cousins than female cousins. Let represent the number of female cousins. Write an expression for the number of boy cousins.
Greg has nickels and pennies in his pocket. The number of pennies is seven less than twice the number of nickels. Write an expression for the number of pennies. Terms of Use Privacy. Fill in your email below and stay tune!
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As you can see in the following expressions, there is one element from equations that are missing here:. There are no equal signs! This is what makes writing expressions different from writing equations. Both equations and expressions can have variables, coefficients , whole numbers, decimals, exponents, addition, subtraction, multiplication and division.
But unlike expressions, algebraic equations must always include an equal sign:. As you can see in the simple equations above, there are two sides of the equation: a right and a left side. So technically, an equation is made of two expressions.
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