answer all three of the questions below.

1. write an equivalent expression to 2 + 3 + 5 + 6 by combining like terms.

2. find the sum of (8a – 2b - 4) and (3b − 5).

3.write the expression in standard form: 4(2a) + 7(−4b) + (3 ∙ c ∙ 5).

a)

b)

c)

Step-by-step explanation:

We are given the following in the question:

1. Equivalent expression

Since all the terms are like terms, we can write,

2. Sum of given expression

3. Standard form of the expression

which is the required standard form of the given expression.

first one because it can't have a fraction in it

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form