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Intro to E xpressions a nd V ariables

Intro to E xpressions a nd V ariables. Expression. Expressions are made up of one or all of these: numbers (2 or 3 or 4) variables (x, y , or n) operations (+, − , x,/). Special Note on E xpressions . You cannot solve an expression You can write an equivalent expression, though!

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Intro to E xpressions a nd V ariables

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  1. Intro to Expressions and Variables

  2. Expression Expressions are made up of one or all of these: • numbers (2 or 3 or 4) • variables (x, y, or n) • operations (+,−,x,/)

  3. Special Noteon Expressions... You cannot solve an expression You can write an equivalent expression, though! 2p+p is equivalent to 3p 4m+3m is equivalent to 7m

  4. Expression Examples 1 let A be the number of apples I have let B be the number of bananas. A+B expresses the _______________________________. B-A expresses ___________________________________.

  5. Expression Examples 2 Let C be the number of cheetos you eat each day. 3C would express_____________________ 7C would express_____________________

  6. Expression examples 3 Let p the number of pennies Let n be the number of nickles What could these expressions mean? 5n+p 6n+2p n+p Would an expression with any other operation besides adding make sense here?

  7. Coefficient Coefficients are the number part of the terms with variables. In 3x + 2y + 7xy + 5 the coefficient of the first term is 3 the coefficient of the second term is ___ the coefficient of the third term is _____

  8. Term A small part of an expression or equation (often separated by addition or subtraction) Example... in 3x+2 the terms are 3x and 2 What are the terms in: 4 + 2x + 7y 5x + 3 - 7 15 + 30 + 17 + 2y +3y

  9. Combining like terms... Combining Like Terms is a process used to simplify an expression or an equation using addition and subtraction of the coefficients of terms. Consider the expression below 5 + 7 By adding 5 and 7, you can easily find that the expression is equivalent to 12

  10. "like terms" How can we identify when a pair of terms are "like" . The following are like terms because each term consists of a single variable, x, and a numeric coefficient. 2x, 45x, x, 0x, -26x, -x Each of the following are like terms because they are all constants. 15, -2, 27, 9043, 0.6 Each of the following are like terms because they are all y2 with a coefficient. 3y2, y2, -y2, 26y2

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