Indicate whether each statement is true or false by checking the appropriate box in the table below.
a. 2x is a factor of the expression (2x + y ). True or False
b. (2x + y ) is a factor of the expression 3(2x + y ). True or False
c. (2x + y ) is a sum of two terms. True or False
d. 3(2x + y ) is a product of two terms. True or False
a. False
b. true
c. true
d. true
thank you.
But how to you know the answer is false or ture, could you explain it.
a. factor would be if 2x+y * something else but it is not
b. this is a factor beause it is 2x+y * something else
c. sum of two terms because two terms are added
d. yes it is a product because two terms are multiplied
To determine whether each statement is true or false, let's break down the expressions and analyze them.
a. 2x is a factor of the expression (2x + y).
To determine if 2x is a factor, we need to check if it completely divides the expression without any remainder. In this case, (2x + y) can be rewritten as 2x * 1 + y. Since 2x is multiplied by another term (1), it does not divide the expression completely. Therefore, the statement is False.
b. (2x + y) is a factor of the expression 3(2x + y).
Similar to the previous case, we need to check if (2x + y) divides the given expression completely. In this case, when we divide 3(2x + y) by (2x + y), it completely cancels out, leaving us with 3. Thus, (2x + y) is a factor of the expression. Therefore, the statement is True.
c. (2x + y) is a sum of two terms.
To determine the number of terms, we need to count the separate components in the expression. In this case, we have (2x) and (y), which are two separate terms. Therefore, the statement is True.
d. 3(2x + y) is a product of two terms.
To determine the number of terms, we look at the separate components in the expression. Here, we have three multiplied by the expression (2x + y). This means that 3 is multiplying the entire expression, and it's not a separate term on its own. Hence, there is only one term in total. Therefore, the statement is False.
Summary:
a. False
b. True
c. True
d. False