What is meant when we say "like terms" or that we are "combining like terms, and how does this relate to writing expressions in standard form.

Step-by-step explanation:

We call like terms only when we have some variables parts. For example 3x and 4x are like terms whereas 3x and 4w are not like terms.

The best thing about line terms are they can be combined together that is added, subtracted, multiplied or divided. For instance

3x+4x=7x or 4x-3x=x.

Lets us learn more by taking example containing more than one variable

3x+2y+4x+7−y

=3x+4x+2y−y+7

=(3+4)x+(2−1)y+7

=7x+y+7

​  

So, 3x+2y+4x+7−y in standard form becomes 7x+y+7

33

step-by-step explanation: g=6

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is