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The first step is to multiply out all brackets. Them you add together (or subtract) like terms: these are terms which have the same variables [to the same powers].
Thus 2(3x + 5) + (x + 7)(2x - 3)
Multiply out the brackets to give:
6x + 10 + 2x^2 - 3x + 14x - 21
Rearrange so that like terms are grouped together:
2x^2 + 6x - 3x + 14x + 10 - 21
Combine like terms:
2x^2 + 17x - 11
The second stage - rearranging - is not necessary once you are experienced but is advisable in the early days.
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How can you evaluate a expression?
replace the variables with the given values and simplify using the order of operations.
What are similar terms in maths?
That refers to terms that have exactly the same combination of variables. For example, in 5xy + x2 - 3xy, the first and last term have the same variables, so they are similar. You can simplify an expression by combining such terms.
Can a mathematical expression have no variables?
Yes, a mathematical expression can have no variables, but such an expression is usually not very useful. An example of a valid expression without variables is: 1+1=2
8x plus y -16?
You can't simplify that. And you can only calculate a numeric value if you know what values the variables have.
Do you solve an expression the same way you solve an equation?
If we are talking about the algebraic expressions, then an expression can be simplified or be evaluated for specific values of its variables, while an equation need to be solved, in other words to find the values of the variables that make the equation a true statement. If we are solving an equation, then we can work in the same way that we can simplify an expression (since an equation is a statement that states that two expressions are equal), or factoring an expression.
What can you simplify an expression by combining what?
Like Terms and Variables
How can you evaluate a expression?
replace the variables with the given values and simplify using the order of operations.
How do you simplify expessions?
To simplify an expression you must combine the variables and the constants. Then write the simplified version of the expression so that the expression isn't solved, just simplified. 1a+2(a+5)=2a+7
How do you evaluate variable expressions?
To evaluate a variable expression, replace all the variables with numbers and simplify the resulting numerical expression. 3m for m = 9 3(9)=27
How do you find the value of an algebraic expression by substituting a number for each variable and simplifying?
The answer to the question is given in the question!If you want to find the value of an algebraic expression, then you need to substitute numerical values for each of the variables in the expression, and then calculate and simplify the result.
What are similar terms in maths?
That refers to terms that have exactly the same combination of variables. For example, in 5xy + x2 - 3xy, the first and last term have the same variables, so they are similar. You can simplify an expression by combining such terms.
Can a mathematical expression have no variables?
Yes, a mathematical expression can have no variables, but such an expression is usually not very useful. An example of a valid expression without variables is: 1+1=2
What is a type of expression that contains a variable or variables?
An algebraic expression is a type of expression that contains a variable or variables.
8x plus y -16?
You can't simplify that. And you can only calculate a numeric value if you know what values the variables have.
What does value of variables mean?
In algebra, variables are represented by letters such as x. A variable could be any number. That number is the "value" of the variable. In an expression, you can choose a number to put in for x, and simplify to get a number which is the value of the expression. In an equation, you can solve for the value of x, which will be the value of x which makes the equation true.
R to the negative 7th power plus s to the negative 12th power?
You can't simplify that expression, unless you know specific values for the variables.
Do you solve an expression the same way you solve an equation?
If we are talking about the algebraic expressions, then an expression can be simplified or be evaluated for specific values of its variables, while an equation need to be solved, in other words to find the values of the variables that make the equation a true statement. If we are solving an equation, then we can work in the same way that we can simplify an expression (since an equation is a statement that states that two expressions are equal), or factoring an expression.
