Algebraic expressions With example Problems and Interactive Exercises
Use the adhering to examples and interactive practice to learn around Writing Algebraic Expressions.
You are watching: 12 more than a number algebraic expression
Solution: Let g represent the number of groups in Ms. Jensen"s class.
Then 2 · g, or 2g have the right to represent "g groups of 2 students".
In the trouble above, the variable g to represent the variety of groups in Ms. Jensen"s class. A variable is a symbol supplied to stand for a number in an expression or one equation. The worth of this number deserve to vary (change). Let"s look at at an example in i m sorry we use a variable.
Example 1: Write each phrase as a mathematics expression.
| Phrase | Expression |
| the sum of nine and eight | 9 + 8 |
| the amount of nine and also a number x | 9 + x |
The expression 9 + 8 represents a solitary number (17). This expression is a numerical expression, (also referred to as an arithmetic expression). The expression 9 + x represents a value that deserve to change. If x is 2, then 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 couple of examples, we will be working exclusively with algebraic expressions.
Example 2: Write each phrase as an algebraic expression.
| Phrase | Expression |
| nine raised by a number x | 9 + x |
| fourteen lessened 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 separated by a number y | 32 ÷ y or  |
In example 2, each algebraic expression contained one number, one operation and also one variable. Let"s watch at an example in i m sorry the expression consists of much more than one number and/or operation.
Example 3: Write each expression as an algebraic expression making use of the variable n.
| Phrase | Expression |
| five an ext than double a number | 2n + 5 |
| the product of a number and also 6 | 6n |
| seven separated by double a number | 7 ÷ 2n or  |
| three time a number decreased by 11 | 3n - 11 |
Solution: Let e represent the number of employees in the company. The quantity of money every employee will gain is represented by the adhering to algebraic expression:
Solution: Let x stand for the number of hours the electrician functions in one day. The electrician"s earnings have the right to be represented by the following algebraic expression:
Solution: 45x - 20
Summary: A variable is a symbol used to represent a number in an expression or an equation. The value of this number can change. An algebraic expression is a mathematics expression that is composed of variables, numbers and operations. The worth of this expression have the right to change.
Exercises
Directions: pick the algebraic expression that properly represents the expression provided. Pick your prize by clicking its button. Feedback to her answer is detailed in the results BOX. If you do a mistake, select a various button.
| 1. | Fifteen much less than twice a number |
| 15 - 2x2x + 152x - 15None of the above. RESULTS BOX: |
| 2. | Three times a number, boosted by seventeen |
| 3(a + 17)3a + 17(17 + 3)aNone the the above. RESULTS BOX: |
| 3. | The product the nine and also a number, lessened by six |
| 9(m - 6)6(9 - m)9m - 6None of the above. RESULTS BOX: |
| 4. | Thirty separated by 7 times a number | |
| 30 + 7n | ||
 | ||
| 30(7n) | ||
| None that the above. See more: Where Is James Jt Taylor Now, James Jt Taylor (Official) Page |
| RESULTS BOX: |
| 5. | Jenny earns $30 a work working component time in ~ a supermarket. Write an algebraic expression to represent the quantity of money she will certainly earn in d days. | |
| 30d | ||
 | ||
| 30 + d | ||
| None that the above |
| RESULTS BOX: |