Question

Match each vocabulary term with its definition.

term
A. A set of arithmetic operations
constant
B. Terms that have the same variables with the same exponents
expression
C. Part of an expression separated by a plus or minus
variable
D. A letter that takes the place of a number
like terms
E. A number by itself
coefficient
F. A number in front of a variable that we multiply by
Simplify:

Answer 1

A set of arithmetic operations, terms with the same variables and exponents, parts of an expression separated by a plus or minus, letters that represent numbers, numbers multiplied by variables, and numbers by themselves are key vocabulary terms in mathematics.

Step-by-step explanation:

A. A set of arithmetic operations: This refers to a collection of mathematical operations such as addition, subtraction, multiplication, and division.

B. Like terms: These are terms in an expression that have the same variables raised to the same exponents. For example, 2x and 3x are like terms.

C. Terms: These are parts of an expression that are separated by a plus (+) or minus (-) sign. For example, in the expression 5x + 3, the terms are 5x and 3.

D. Variable: A variable is a letter or symbol that represents an unknown value or quantity. It takes the place of a number in mathematical expressions or equations.

E. Coefficient: A coefficient is a number that is multiplied by a variable. In the expression 4x, the coefficient is 4.

F. Constant: A constant is a number by itself, and it does not change. For example, in the expression 2x + 3, the constant is 3.

Answer 2

A. A set of arithmetic operations - expression

B. Terms that have the same variables with the same exponents - like terms

C. Part of an expression separated by a plus or minus - term

D. A letter that takes the place of a number - variable

E. A number by itself - **constant**

F. A number in front of a variable that we multiply by - coefficient

Step-by-step explanation:

Understanding these terms is vital for simplifying algebraic expressions. An expression is a combination of variables, constants, and operators representing a mathematical phrase.

Terms are the individual components separated by plus or minus signs within an expression.

Variables are placeholders for numbers, often represented by letters, and constants are numbers by themselves.

Coefficients are the numbers multiplied by variables, and like terms are those with the same variables and exponents. Identifying and combining like terms is crucial for simplification and solving equations, making these concepts foundational in algebraic manipulation.