We use the properties of equality to rewrite equations and solve equations for a variable. These properties allow us to maintain a balance between the two sides of the equation. Why is it important to keep the two sides of an equation balanced when solving? What other properties do we use to rewrite expressions and equations?

If 2(a^2+b^2)=(a+b)^2 then, > a+b=0, > ab=0, > a=b, > 2a=b

Data from 2005 for various age groups show that for each $100 increase in the median weekly income for whites, the median weekly income of blacks increases by $105. also, for workers of ages 25 to 54 the median weekly income for whites was $676 and for blacks was $527. (a) let w represent the median weekly income for whites and b the median weekly income for blacks, and write the equation of the line that gives b as a linear function of w. b = (b) when the median weekly income for whites is $760, what does the equation in (a) predict for the median weekly income for blacks?

Tom drove 206 miles in 3.9 hours. estimate his average speed.