Sure! Here are detailed explanations for each mathematical expression:
a) The expression [tex]\( p + 5 \)[/tex] means that we have a variable [tex]\( p \)[/tex] and we are increasing its value by 5. In a sentence, we can say:
"The expression [tex]\( p+5 \)[/tex] means the variable [tex]\( p \)[/tex] increased by 5."
b) The expression [tex]\( 3t \)[/tex] indicates that the variable [tex]\( t \)[/tex] is being multiplied by 3. In a sentence, this can be written as:
"The expression [tex]\( 3t \)[/tex] means the variable [tex]\( t \)[/tex] multiplied by 3."
c) The expression [tex]\( 7 - m \)[/tex] implies that we are taking 7 and decreasing it by the value of the variable [tex]\( m \)[/tex]. In a sentence, this is:
"The expression [tex]\( 7 - m \)[/tex] means 7 decreased by the variable [tex]\( m \)[/tex]."
d) The expression [tex]\( 3f + 1 \)[/tex] consists of two operations: the variable [tex]\( f \)[/tex] is first multiplied by 3, and then 1 is added to the result. In a sentence, this can be described as:
"The expression [tex]\( 3f + 1 \)[/tex] means the variable [tex]\( f \)[/tex] multiplied by 3 and then increased by 1."
These sentences provide clear, understandable interpretations of each mathematical expression given.
