ALEKS

area of a piecewise rectangular figure

1) divide the figure into two rectangles 2) add all sides of each figure separately (or l x w) 3) adding the two rectangles areas together will give us the area of the entire figure

solving a word problem with two unknowns using a linear equation

A local hamburger shop sold a combined total of 600 hamburgers and cheeseburgers on Friday. There were 50 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Friday? x + 50 + x = 600 2x + 50 = 600 2x = 550 x = 275

circumference and area of a circle

Area = PI × radius^2 (units is m2) Circumference = 2 × PI × radius (units is m)

finding a solution to a linear equation in two variables

Find an ordered pair , x y that is a solution to the equation. 6x + y = 5 -There are infinitely many ordered pairs , x y that are solutions to 6x + y = 5 -To find one, we can choose a value for one of the variables and solve for the other variable. -For example, in our problem, we'll let x = 0 -Then we'll solve for y. 6 (0) + y = 5 y = 5 -So, when x = 0, we have y = 5. In other words, the pair (x, y) = (0, 5) is a solution to the equation 6x + y = 5.