Algebraic expressions With instance Problems and also Interactive Exercises
Use the complying with examples and also interactive practice to learn about Writing Algebraic Expressions.
You are watching: Seven less than a number divided by 3 is five
Solution: Let g stand for the variety of groups in Ms. Jensen"s class.
Then 2 · g, or 2g can represent "g teams of 2 students".
In the problem above, the change g to represent the variety of groups in Ms. Jensen"s class. A variable is a symbol supplied to stand for a number in one expression or one equation. The worth of this number can vary (change). Let"s watch at an example in i beg your pardon we use a variable.
Example 1: Write each expression as a mathematics 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, (also referred to as an arithmetic expression). The expression 9 + x represents a worth that have the right 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 certainly be working solely with algebraic expressions.
Example 2: Write each expression as one algebraic expression.
|nine raised 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 also a number n||9 · n or 9n|
|thirty-two split by a number y||32 ÷ y or |
In instance 2, every algebraic expression included one number, one operation and one variable. Let"s look at at an instance in i beg your pardon the expression consists of more than one number and/or operation.
Example 3: Write each expression as one algebraic expression making use of the change n.
|five more than twice a number||2n + 5|
|the product of a number and also 6||6n|
|seven divided by twice a number||7 ÷ 2n or |
|three time a number diminished by 11||3n - 11|
Solution: Let e represent the number of employees in the company. The quantity of money each employee will obtain is represented by the following 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 provided to represent a number in one expression or an equation. The worth of this number can change. An algebraic expression is a mathematical expression that is composed of variables, numbers and also operations. The value of this expression have the right to change.
Directions: choose the algebraic expression that correctly represents the expression provided. Select your prize by clicking its button. Feedback to your answer is detailed in the outcomes BOX. If you make a mistake, choose a different button.
|1.||Fifteen much less than twice a number|
|15 - 2x2x + 152x - 15None that the above.|
|2.||Three time a number, raised by seventeen|
|3(a + 17)3a + 17(17 + 3)aNone that the above.|
|3.||The product the nine and also a number, lessened 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 work working component time in ~ a supermarket. Compose an algebraic expression to represent the lot of money she will earn in d days.|
|30 + d|
|None the the above|