 # Grade 6. Expression: a set of numbers that are related to one another by the use of operator symbols that represent a mathematical situation Has no equal.

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Expression: a set of numbers that are related to one another by the use of operator symbols that represent a mathematical situation Has no equal sign Can only be simplified, unless given the value of the variable(s) 4x + 3 – 12 + 7y

Variables: is a letter or symbol that represents a number Coefficient: is the number before the variable that expresses how many of each variable there are. They explain how many of that variable the term contains Term: is either a single number of variable or the product of several numbers or variables, separated from another term by plus or minus sign in an overall expression Constant: is a value that does not change; stands only.

3a + 4y – 6 Terms: 3a, 4y, and 6 Variables: a & y Coefficients: 3 & 4 ( 3 a’s and 4 y’s ) (value may change depending on the values of the variables) Constant: 6 (value will always be six)

Distributive Property: the property that states if you multiply a sum by a number, you will get the same result if you multiply each addend by that number and then add the products (multiply the number outside the parentheses to each term inside) Commutative Property: the property that states that two or more numbers can be added (or multiplied) in any order without changing the sum (or product) Associative Property: the property that states for three or more numbers, their sum (or product) is always the same, regardless of grouping

Distributive Property Associative Property Commutative Property 2 + 3 = 3 + 2 6(5) = 5(6)

Additive Identity: any amount plus zero is itself Multiplicative Identity: any amount multiplied by one is itself

Let’s see if you can name the property that is being shown (distributive, commutative, associative): 3 + a = a + 3 5(10 – x) = 50 – 5x 5ab = ab5 3 x 4 x 9 = 4 x 3 x 9 A + b + c = b + c + a 4(x + 3) = 4x + 12 (3 x 2) x 8 = 3 x (2 x 8) 4y + 8 = 4(y+2)

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