Algebraic expressions With example Problems and Interactive Exercises
Use the adhering to examples and interactive exercises to learn around Writing Algebraic Expressions.
You are watching: The product of nine and a number
Solution: Let g stand for the number of groups in Ms. Jensen"s class.
Then 2 · g, or 2g have the right to represent "g teams of 2 students".
In the difficulty above, the variable g represents the variety of groups in Ms. Jensen"s class. A variable is a symbol used to stand for a number in an expression or an equation. The worth of this number can vary (change). Let"s look at at an instance in i m sorry we use a variable.
Example 1: Write each phrase as a mathematical expression.
|the sum of nine and eight||9 + 8|
|the amount of nine and a number x||9 + x|
The expression 9 + 8 represents a solitary number (17). This expression is a numerical expression, (also called an arithmetic expression). The expression 9 + x represents a worth that can change. If x is 2, climate the expression 9 + x has a worth of 11. If x is 6, then the expression has actually a value of 15. So 9 + x is an algebraic expression. In the next few examples, we will be working specifically with algebraic expressions.
Example 2: Write each expression as one algebraic expression.
|nine boosted by a number x||9 + x|
|fourteen reduced by a number p||14 - p|
|seven much less than a number t||t - 7|
|the product that 9 and a number n||9 · n or 9n|
|thirty-two divided by a number y||32 ÷ y or |
In example 2, each algebraic expression included one number, one operation and also one variable. Let"s look at at an example in i m sorry the expression consists of much more than one number and/or operation.
Example 3: Write each phrase as an algebraic expression utilizing the change n.
|five more than twice a number||2n + 5|
|the product the a number and also 6||6n|
|seven separated by twice a number||7 ÷ 2n or |
|three time a number reduced by 11||3n - 11|
Solution: Let e represent the number of employees in the company. The quantity of money every employee will obtain is stood for by the following algebraic expression:
Solution: Let x stand for the variety of hours the electrician works in one day. The electrician"s earnings have the right to be represented by the adhering to algebraic expression:
Solution: 45x - 20
Summary: A variable is a symbol provided to represent a number in one expression or one equation. The value of this number have the right to change. An algebraic expression is a math expression that consists of variables, numbers and operations. The value of this expression have the right to change.
Directions: select the algebraic expression that correctly represents the phrase provided. Choose your prize by clicking its button. Feedback to her answer is listed in the results BOX. If you do a mistake, pick a various button.
|1.||Fifteen less than twice a number|
|15 - 2x2x + 152x - 15None of the above.|
|2.||Three time a number, enhanced by seventeen|
|3(a + 17)3a + 17(17 + 3)aNone that the above.|
|3.||The product the nine and a number, reduced by six|
|9(m - 6)6(9 - m)9m - 6None the the above.|
|4.||Thirty split by 7 times a number|
|30 + 7n|
|None of the above.|
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|5.||Jenny earns $30 a day working part time at a supermarket. Compose an algebraic expression to represent the quantity of money she will earn in d days.|
|30 + d|
|None of the above|