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.
|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.
|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.
|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.
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.|
|2.||Three times a number, enhanced by seventeen|
|3(a + 17)3a + 17(17 + 3)aNone of the above.|
|3.||The product of nine and also a number, lessened by six|
|9(m - 6)6(9 - m)9m - 6None the the above.|
|4.||Thirty divided by seven times a number|
|30 + 7n|
|None the the above.|
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|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.|
|30 + d|
|None of the above|