The math exercises on line equations and linear systems cover various aspects of the middle and high school curriculum in the United States. One exercise requires solving a system of two equations with two unknowns, an essential skill in 8th grade and Algebra I. Solving equations and inequalities of the first degree helps students develop an understanding of linear relationships and systems of equations. Another exercise proposes solving a practical problem by using a system of two equations to determine the price of boxes and albums in a real-life context. This exercise is particularly relevant for students preparing for standardized tests, as it combines math skills with practical application.
Another exercise asks students to determine the y-intercept of a vector from a line equation, a skill developed in Algebra I. Understanding vectors and their representation is crucial for analytic geometry. Another exercise focuses on determining the equation of a linear function passing through a given point, a key skill in 8th grade. It helps students understand the concepts of linear and affine functions and their graphical representation.
Finally, an exercise involves finding the slope-intercept form of a line passing through two points, a skill taught in 8th grade and further explored in Algebra I. The ability to determine the equation of a line from specific points is fundamental for understanding linear and affine functions, as well as for solving geometric and algebraic problems. These exercises help students strengthen their mastery of line equations and linear systems, while developing essential analytical and practical skills for their academic journey.
5 exercisesExercise example N°1423 :
Solve the following system:
`-x-2*y = 3`
`3*x = -2`
solving equations and inequations of the first degree equations of lines and linear systems equations 9th Grade 10th Grade solve_equations
The objective of this corrected math exercise is to solve a system of two equations with two unknowns.
Exercise example N°1441 :
mathematics exams and competitions equations of lines and linear systems equations 9th Grade solve_equations
The purpose of this exercise is to use a system of two equations with two unknowns to solve a problem.
Exercise example N°1524 :
Find the ordinate of the direction vector of the line whose equation is `y=-7/10*x+6` which has abscissa 1
vectors equations equations of lines and linear systems 10th Grade fraction
The objective of this exercise is to determine the ordinate of a direction vector from a line equation.
Exercise example N°2411 :
Determine the equation of the linear function whose graphical representation passes through the point D of coordinates (`3/5`,`2`).
linear functions and affine functions equations of lines and linear systems equations 9th Grade equation_straight_line
The purpose of this exercise is to find the equation of a line representing a linear function that passes through a given point.
Exercise example N°2413 :
Determine the reduced equation of the line passing through the points A(3;5 )and B(2;4).
linear functions and affine functions equations of lines and linear systems equations 9th Grade 10th Grade equation_straight_line
The purpose of this exercise is to find the equation of a line from two points.