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.
| Phrase | 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.
| Phrase | 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.
| Phrase | Expression |
| 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.
Exercises
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. RESULTS BOX: |
| 2. | Three time a number, enhanced by seventeen |
| 3(a + 17)3a + 17(17 + 3)aNone that the above. RESULTS BOX: |
| 3. | The product the nine and a number, reduced by six |
| 9(m - 6)6(9 - m)9m - 6None the the above. RESULTS BOX: |
| 4. | Thirty split by 7 times a number | |
| 30 + 7n | ||
 | ||
| 30(7n) | ||
| None of the above. See more: 2004 Honda Crv Maintenance Required Light ? Maintenance Required Light |
| RESULTS BOX: |
| 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. | |
| 30d | ||
 | ||
| 30 + d | ||
| None of the above |
| RESULTS BOX: |