Simplifying and Evaluating Expressions

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Presentation transcript:

Simplifying and Evaluating Expressions

Simplifying Expressions When simplifying, look for like terms Like terms are terms that contain the same variables raised to the same power. Coefficients do not need to be the same in order to combine terms. Variables MUST be the same though!

Examples!  Look at the following terms and list all like terms

Solution! -8x2y, 3x2y, -1/3x2y -4/5xy2,-2xy2, 4xy2 -7x2yz 1/3xy 2x2y2 All these terms have x2y All these terms have xy2 This is the only x2yz term This is the only xy term All these terms have x2y2 This is the only xy2z term

A word of caution…. Be very careful when combining terms, x2yz and xy2z might look similar but we can’t combine them! That’s like saying apples and oranges are the same!

Examples! 3x + 6x 8x + 4y - 5x - 7y 10x - x - 9x + x 13 + 5t + 6y - t - y - 2 a - 4a 8x - 5x + 3 + 2y - y - 1 9x 3x-3y -8x 11+4t+5y -3a 3x+2+y

Simplify the Following Expressions 2xy2+y2x+3x+4 3xy2+3x+4 5xyz-4x2+3xyz-9+10x2 8xyz+6x2-9 4x2+3xy+2x2+y 6x2+3xy+y

Evaluating Expressions We already know that variables can be numbers, therefore we are allowed to substitute values into expressions and then perform said operations….this is known as evaluating

Evaluate! Evaluate the expression 4x+2x when x=3. 4x+2x 4(3)+2(3) Substitute the value of x 12+6 Perform multiplication 18 Simplify to get answer

Now you try!  3y+2y when y=3 4x2-3 when x=2 2x2+2x-3 when x=3 3(3)+2(3)=9+6=15 4(22)-3=4(4)-3=16-3= 13 2(3)2+2(3)-3=2(9)+2(3)-3 =18+6-3=21