1. The expression 11x2 - 12x - 10 has ___ terms and a constant of ___.



12, 11



3, -10



3, 10



11, 12

  1. Combine like terms in the following expression: 7x + 3x + 2y - y.



10x2 + y2



10x + 3y



10x + y



10x - y

  1. Use the distributive property to write the expression 1/2 (4x-6y) without parentheses.



2x + 3y



2x – 3y



2x – 6y



4x – 6y


Verified Answer :

  1. 3,-10

    2. 10x + y

    3. 2x - 3y


Answer:

1)

        3 , -10

2)

          10x + y

3)

            2x-3y

Step-by-step explanation:

Ques 1)

We are given an algebraic expression as:

               \(11x^2-12x-10\)

The following expression has three terms:

\(11x^2,-12x\ and\ -10\)

and the constant term is the term in which the variable is of exponent 0.

Hence, here we have the constant term as: \(-10\)

Ques 2)

We are given a expression in terms of x and y by:

\(7x+3x+2y-y\)

when on simplifying this expression we have:

\(=(7+3)x+(2-1)y\\\\=10x+y\)

Ques 3)

The expression is given by:

\(\dfrac{1}{2}(4x-6y)\)

On using the distributive property i.e.

\(a(b+c)=a\cdot b+a\cdot c\)

we have:

\(\dfrac{1}{2}(4x-6y)=\dfrac{1}{2}\times 4x+\dfrac{1}{2}\times (-6y)\\\\i.e.\\\\\dfrac{1}{2}(4x-6y)=2x-3y\)