Clik here to view.
Systems of Three Equations – No Solution
Directions: Use the whole numbers 1 through 9 only one time, create a system of equations that has no solutions. Hint Hint What would three lines on a plane that do not intersect look like? Answer...
View ArticleClik here to view.
Systems of Three Equations – Multiple Solutions
Directions: Using the whole numbers 1 through 9 only one time each, create a system of equations that has as many solutions as possible. Hint Hint How would three lines that have one solution look on a...
View ArticleClik here to view.
Systems of Equations – One Solution
Directions: Using the integers from -9 to 9 only one time each, create a system of three-equations such that the solution is (1,1). Hint Hint How can we determine whether a line goes through the point...
View ArticleCreate a System of Equations, Given 1 Equation and the Solution
Directions: Write at least two linear equations so that the solution of the system of equations of that line and 4x + y = 8 is (3, -4) Hint Hint What does it mean to be a solution of a system of...
View ArticleClik here to view.
Finding the Length of a Right Triangle’s Altitude
Directions: The black triangle is a right triangle with legs 8 and 6. The vertices are at the points (0,0), (0,8), and (6,0). The red line segment is perpendicular to hypotenuse. Find the length of the...
View ArticleClik here to view.
Create a System of Two Equations
Directions: Use non-zero whole numbers 1 to 30, at most once time each, to create a system of two linear equations where (3, 2) is the solution to the system. HintHint What does it mean to be the...
View ArticleClik here to view.
Systems of Equations 3
Directions: Using the integers −9 to 9 at most one time each, place an integer in each box to create a system of equations and its solution. Hint How can you check whether your lines intersect at your...
View ArticleClik here to view.
Systems of Equations 4
Directions: Using the integers −9 to 9 at most one time each, place an integer in each box to create a system of equations whose solution is as close to the origin as possible. Hint How can you check...
View ArticleClik here to view.
Infinitely Many Solutions System of Equations
Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to create a a system of equations with infinitely many solutions. Hint What does it mean for a system of equations...
View Article