Algebraic expressions With instance Problems and Interactive Exercises
Use the following examples and interactive exercises to learn around Writing Algebraic Expressions.
You are watching: The product of six and a number
Solution: Let g stand for the variety of groups in Ms. Jensen"s class.
Then 2 · g, or 2g have the right to represent "g teams of 2 students".
In the problem above, the change g represents the variety of groups in Ms. Jensen"s class. A variable is a symbol provided to stand for a number in an expression or an equation. The value of this number can vary (change). Let"s look at at an instance in i beg your pardon we use a variable.
Example 1: Write each expression as a math expression.
| Phrase | 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 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 value of 11. If x is 6, climate the expression has a value of 15. So 9 + x is an algebraic expression. In the next couple of examples, we will be working solely with algebraic expressions.
Example 2: Write each phrase as an algebraic expression.
| Phrase | Expression |
| nine raised by a number x | 9 + x |
| fourteen diminished by a number p | 14 - p |
| seven much less than a number t | t - 7 |
| the product that 9 and also a number n | 9 · n or 9n |
| thirty-two separated by a number y | 32 ÷ y or  |
In example 2, every algebraic expression contained one number, one operation and also one variable. Let"s watch at an instance in i beg your pardon the expression consists of much more than one number and/or operation.
Example 3: Write each phrase as an algebraic expression making use of the variable n.
| Phrase | Expression |
| five more than double a number | 2n + 5 |
| the product of a number and also 6 | 6n |
| seven separated by twice a number | 7 ÷ 2n or  |
| three times a number decreased by 11 | 3n - 11 |
Solution: Let e represent the number of employees in the company. The lot of money every employee will obtain is stood for by the adhering to algebraic expression:
Solution: Let x represent the number of hours the electrician functions in one day. The electrician"s earnings can be stood for by the adhering to algebraic expression:
Solution: 45x - 20
Summary: A variable is a symbol supplied to stand for a number in one expression or one equation. The worth of this number have the right to change. An algebraic expression is a mathematical expression that consists of variables, numbers and also operations. The value of this expression can change.
Exercises
Directions: select the algebraic expression that correctly represents the phrase provided. Pick your answer by clicking its button. Feedback to her answer is noted in the outcomes BOX. If you make a mistake, pick a different button.
| 1. | Fifteen much less than twice a number |
| 15 - 2x2x + 152x - 15None the the above. RESULTS BOX: |
| 2. | Three times a number, enhanced by seventeen |
| 3(a + 17)3a + 17(17 + 3)aNone of the above. RESULTS BOX: |
| 3. | The product of nine and also a number, lessened by six |
| 9(m - 6)6(9 - m)9m - 6None the the above. RESULTS BOX: |
| 4. | Thirty divided by seven times a number | |
| 30 + 7n | ||
 | ||
| 30(7n) | ||
| None the the above. See more: 2000 Vw Jetta Camshaft Position Sensor Location, Camshaft Position Sensor Location |
| RESULTS BOX: |
| 5. | Jenny earns $30 a work working component time at a supermarket. Compose an algebraic expression to stand for the amount of money she will certainly earn in d days. | |
| 30d | ||
 | ||
| 30 + d | ||
| None of the above |
| RESULTS BOX: |