Match the vocabulary word to its definition
Variable-
Distributive-
Factor-
Constant-
Like terms-
Coefficient-
•a letter that stands for an unknown number
•terms whose variables and exponents are the same
•the property of operations that says multiplying the sum of two or more addends by a number is the same as multiplying the number by each of the addends individually and adding the products; example: 3(4×+7)=12x+28
• a number that divides another number with a remainder of zero
• a fixed term (number with no variable) in an expression
• a number used to multiply a variable in an algebraic expression
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Variable- a letter that stands for an unknown number
Distributive- the property of operations that says multiplying the sum of two or more addends by a number is the same as multiplying the number by each of the addends individually and adding the products; example: 3(4×+7)=12x+28
Factor- a number that divides another number with a remainder of zero
Constant- a fixed term (number with no variable) in an expression
Like terms- terms whose variables and exponents are the same
Coefficient- a number used to multiply a variable in an algebraic expression
Variable- a letter that stands for an unknown number
Distributive- the property of operations that says multiplying the sum of two or more addends by a number is the same as multiplying the number by each of the addends individually and adding the products; example: 3(4x+7)=12x+28
Factor- a number that divides another number with a remainder of zero
Constant- a fixed term (number with no variable) in an expression
Like terms- terms whose variables and exponents are the same
Coefficient- a number used to multiply a variable in an algebraic expression
To match the vocabulary words to their definitions, here's a breakdown for each term:
Variable:
- Definition: a letter that stands for an unknown number
- Example: In an equation like 2x + 5 = 10, "x" is the variable.
Distributive:
- Definition: the property of operations that says multiplying the sum of two or more addends by a number is the same as multiplying the number by each of the addends individually and adding the products.
- Example: In the expression 3(4x + 7), the distributive property is applied by multiplying 3 to both terms inside the parentheses, resulting in 12x + 21.
Factor:
- Definition: a number that divides another number with a remainder of zero
- Example: Factors of 12 are 1, 2, 3, 4, 6, and 12.
Constant:
- Definition: a fixed term (number with no variable) in an expression
- Example: In the expression 5x + 3, the constant term is 3 since it does not contain any variables.
Like terms:
- Definition: terms whose variables and exponents are the same
- Example: In the expression 4x + 2x - 5y + 3x - 7y, the like terms are 4x, 2x, and 3x because they all have the same variable and exponent.
Coefficient:
- Definition: a number used to multiply a variable in an algebraic expression
- Example: In the expression 4x + 2y, the coefficients are 4 and 2 since they precede the variables x and y respectively.
Matching the vocabulary words to their definitions:
1. Variable: A letter that stands for an unknown number
2. Distributive: The property of operations that says multiplying the sum of two or more addends by a number is the same as multiplying the number by each of the addends individually and adding the products.
3. Factor: A number that divides another number with a remainder of zero.
4. Constant: A fixed term (number with no variable) in an expression.
5. Like terms: Terms whose variables and exponents are the same.
6. Coefficient: A number used to multiply a variable in an algebraic expression.