Algebraic Expressions With Example Problems and Interactive Exercises
Use the complying with examples and also interenergetic exercises to learn about Writing Algebraic Expressions.
You are watching: Seven less than twice a number equals 19
Solution: Let g represent the number of groups in Ms. Jensen"s course.
Then 2 · g, or 2g have the right to represent "g teams of 2 students".
In the difficulty above, the variable g represents the number of groups in Ms. Jensen"s course. A variable is a symbol supplied to represent a number in an expression or an equation. The worth of this number have the right to differ (change). Let"s look at an example in which we usage a variable.
Example 1: Write each expression as a mathematical expression.
|the amount of nine and eight||9 + 8|
|the amount of nine and also a number x||9 + x|
The expression 9 + 8 represents a single number (17). This expression is a numerical expression, (likewise referred to as an arithmetic expression). The expression 9 + x represents a value that deserve to adjust. If x is 2, then the expression 9 + x has actually a worth of 11. If x is 6, then the expression has a worth of 15. So 9 + x is an algebraic expression. In the following few examples, we will certainly be functioning exclusively via algebraic expressions.
Example 2: Write each phrase as an algebraic expression.
|nine increased by a number x||9 + x|
|fourteenager lessened by a number p||14 - p|
|salso less than a number t||t - 7|
|the product of 9 and also a number n||9 · n or 9n|
|thirty-2 split by a number y||32 ÷ y or |
In Example 2, each algebraic expression consisted of one number, one procedure and one variable. Let"s look at an example in which the expression consists of more than one number and/or operation.
Example 3: Write each phrase as an algebraic expression using the variable n.
|five even more than twice a number||2n + 5|
|the product of a number and 6||6n|
|salso separated by twice a number||7 ÷ 2n or |
|three times a number diminished by 11||3n - 11|
Solution: Let e recurrent the number of employees in the agency. The amount of money each employee will obtain is stood for by the following algebraic expression:
Solution: Let x represent the number of hours the electrician works in at some point. The electrician"s revenue deserve to be stood for by the adhering to algebraic expression:
Solution: 45x - 20
Summary: A variable is a symbol supplied to reexisting a number in an expression or an equation. The value of this number have the right to change. An algebraic expression is a mathematical expression that is composed of variables, numbers and operations. The worth of this expression have the right to adjust.
Directions: Choose the algebraic expression that properly represents the phrase provided. Select your answer by clicking its button. Feedback to your answer is provided in the RESULTS BOX. If you make a mistake, choose a various switch.
|1.||Fifteenager less than twice a number|
|15 - 2x2x + 152x - 15Namong the over.|
|2.||Three times a number, boosted by seventeen|
|3(a + 17)3a + 17(17 + 3)aNone of the over.|
|3.||The product of nine and also a number, lessened by six|
|9(m - 6)6(9 - m)9m - 6None of the above.|
|4.||Thirty divided by seven times a number|
|30 + 7n|
|Namong the above.|
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|5.||Jenny earns $30 a day functioning component time at a supersector. Write an algebraic expression to reexisting the amount of money she will earn in d days.|
|30 + d|
|None of the above|