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



12, 11


3, -10


3, 10


11, 12

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



10x2 + y2


10x + 3y


10x + y


10x - y

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



2x + 3y


2x – 3y


2x – 6y


4x – 6y


Answer :

texaschic101
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:

               [tex]11x^2-12x-10[/tex]

The following expression has three terms:

[tex]11x^2,-12x\ and\ -10[/tex]

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

Hence, here we have the constant term as: [tex]-10[/tex]

Ques 2)

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

[tex]7x+3x+2y-y[/tex]

when on simplifying this expression we have:

[tex]=(7+3)x+(2-1)y\\\\=10x+y[/tex]

Ques 3)

The expression is given by:

[tex]\dfrac{1}{2}(4x-6y)[/tex]

On using the distributive property i.e.

[tex]a(b+c)=a\cdot b+a\cdot c[/tex]

we have:

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

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