Question

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 1

1. 3,-10

2. 10x + y

3. 2x - 3y

Answer 2

1)

3 , -10

2)

10x + y

3)

2x-3y

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:

`(1)/(2)(4x-6y)`

On using the distributive property i.e.

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

we have:

`(1)/(2)(4x-6y)=(1)/(2)* 4x+(1)/(2)* (-6y)\\\\i.e.\\\\(1)/(2)(4x-6y)=2x-3y`