Question

Simplify and give term,coefficient,and constant for each one

3m - 1 + 4m -3x

7(3+2x)-4x+5

3x+4(x-3)

Answer 1

Answer with explanation:

Term--

Terms of the algebraic expression are the parts of the expression which are separated by mathematical operators.

Coefficient--

Coefficients are the multiples which are attached just before the variable in the variable term.

Constant--

The term which does not contain variable.

a)

`3m-1+4m-3x`

on combining the like terms we have:

`3m+4m-1-3x\\\\=7m-1-3x`

• There are three terms:

`7m,1\ and\ 3x`

• Also, the coefficients are:

`7\ and -3`

• and the constant term is:

`-1`

b)

`7(3+2x)-4x+5`

on simplifying.

`=7* 3+7* (2x)-4x+5\\\\=21+14x-4x+5\\\\=14x-4x+21+5\\\\=10x+26`

• There are two terms:

`10x\ and\ 26`

• Also, the coefficient is:

`10`

• and the constant term is:

`26`

c)

`3x+4(x-3)`

on simplifying the given expression:

`=3x+4* x+4* (-3)\\\\=3x+4x-12\\\\=7x-12`

• There are two terms:

`7x\ and\ 12`

• Also, the coefficient is:

`7`

• and the constant term is:

`-12`

Answer 2

7m-3x-1

10x+26

7x-12

Explanation:

3m - 1 + 4m -3x

sum terms by the same variable:

3m+4m=7m

we have:

7m-3x-1

7(3+2x)-4x+5

apply the distributive property:

7*3+7*2x-4x+5

we have:

10x+26

3x+4(x-3)

apply the distributive property:

3x+4*x-12

we have:

7x-12