options: Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R.

Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.
problem_activity: Problem 1
The perimeter of a rectangle is 54 cm. If the length is 2 cm more than a number and the width is 5 cm less than twice the same number, what are the dimensions of the rectangle?
Problem 2
A plot of land for sale has a width of
$$x$$
feet and a length that is 8 feet less than its width. A farmer will only purchase the land if it measures 240 square feet. What value for
$$x$$
will cause the farmer to purchase the land?


correct_option_index: 1