Algebraic expression With instance Problems and also Interactive Exercises
Use the adhering to examples and interactive exercises to learn about Writing Algebraic Expressions.
You are watching: The product of a number and 9
Solution: Let g represent the variety of groups in Ms. Jensen"s class.
Then 2 · g, or 2g can represent "g groups 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 used to represent a number in one expression or one equation. The value of this number deserve to vary (change). Let"s look at at an example in i beg your pardon we use a variable.
Example 1: Write each phrase as a math 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 called an arithmetic expression). The expression 9 + x represents a worth 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 a worth of 15. So 9 + x is an algebraic expression. In the next few examples, we will certainly be working exclusively with algebraic expressions.
Example 2: Write each phrase as an algebraic expression.
|nine boosted by a number x||9 + x|
|fourteen lessened by a number p||14 - p|
|seven 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, each algebraic expression included one number, one operation and also one variable. Let"s look at at an instance in i beg your pardon the expression is composed of an ext than one number and/or operation.
Example 3: Write each expression as one algebraic expression utilizing the variable n.
|five much more than double a number||2n + 5|
|the product of a number and also 6||6n|
|seven split by twice a number||7 ÷ 2n or |
|three time a number diminished by 11||3n - 11|
Solution: Let e represent the variety of employees in the company. The lot of money every employee will obtain is represented by the complying with 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 stood for by the following algebraic expression:
Solution: 45x - 20
Summary: A variable is a symbol used to represent a number in one expression or one equation. The worth of this number have the right to change. An algebraic expression is a mathematics expression that is composed of variables, numbers and also operations. The value of this expression can change.
Directions: select the algebraic expression that properly represents the phrase provided. Pick your prize by clicking its button. Feedback to her answer is listed in the outcomes BOX. If you make a mistake, choose a different button.
|1.||Fifteen much less than double a number|
|15 - 2x2x + 152x - 15None of 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 a number, reduced by six|
|9(m - 6)6(9 - m)9m - 6None the the above.|
|4.||Thirty split by seven times a number|
|30 + 7n|
|None the the above.|
See more: How Much Does A Chicken Breast Weigh, (Pound/Gram)
|5.||Jenny earns $30 a work working part time in ~ a supermarket. Create an algebraic expression to stand for the lot of money she will certainly earn in d days.|
|30 + d|
|None that the above|