true or false? algebraic expression can only be evaluated if there is a specified numerical value for each variable in the expression.

Answer 1

False. Algebraic expressions can be evaluated using variables without specified numerical values. For example, the expression 3x + 4 can be evaluated when x takes on different values, such as x = 2, x = 5, etc.

Answer 2

like terms are...

terms whose variables are the same
terms whose exponents are the same
terms whose variables and exponents are the same
not able to be added or subtracted

Answer 3

Like terms are terms whose variables and exponents are the same. They can be added or subtracted from one another.

Answer 4

5. Select the correct definitions. Select all that apply.
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coefficient – a number used to multiply a variable in an algebraic expression
constant – a term that can be changed in an equation
factor – a number that divides another number with a remainder of zero
greatest common factor – largest number that is a factor of two or more numbers, often abbreviated GCF
prime number – a number with only one factor: 1

Answer 5

The correct definitions are:

- Coefficient – a number used to multiply a variable in an algebraic expression.
- Greatest common factor – the largest number that is a factor of two or more numbers, often abbreviated GCF.
- Prime number – a number with only one factor, which is 1.