Question

b. z
c. -7
d. 4

identify the constant term in the expression 6 + 2a.
a. a
b. 2a
c. 6
d. 2

in the equation 5x - 3y = 15, what is the coefficient of y?
a. -3
b. 5x
c. 15
d. y

Explanation:

First Sub - Question: Identify the constant term in the expression \(6 + 2a\)

Step 1: Recall the definition of a constant term

A constant term is a term that has a fixed value and does not contain a variable.

Step 2: Analyze each term in the expression \(6+2a\)

• The term \(a\) is a variable, not a constant.
• The term \(2a\) contains the variable \(a\), so it is not a constant.
• The term \(6\) has a fixed value and no variable, so it is the constant term.
• The term \(2\) is a coefficient (of \(a\) in \(2a\)), not a constant term of the expression \(6 + 2a\).

Step 1: Recall the definition of a coefficient

A coefficient is a number that is multiplied by a variable in a term.

Step 2: Analyze the term with \(y\) in the equation \(5x-3y=15\)

The term with \(y\) is \(- 3y\). Here, the number multiplied by \(y\) is \(-3\), so the coefficient of \(y\) is \(-3\).

Answer:

c. 6

Second Sub - Question: In the equation \(5x-3y = 15\), what is the coefficient of \(y\)?