Term Tuesday 3/11

What is a linear equation?

• A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

• A linear equation is an equation that curves and does not form a straight line.

• A linear equation is a polynomial equation of degree two.

• A linear equation is an equation that has no solutions.

What is the point (4, -12) in terms of graphing?

• To plot (4, -12), move right 4 units and down 12 units from the origin.

• To plot (4, -12), move left 4 units and up 12 units from the origin.

• To plot (4, -12), move right 12 units and down 4 units from the origin.

• To plot (4, -12), move left 12 units and down 4 units from the origin.

What does the slope of a line represent in a linear equation?

• The slope represents the rate of change of the dependent variable with respect to the independent variable.

• The slope indicates the maximum value of the dependent variable.

• The slope shows the distance between two points on the line.

• The slope represents the average of the independent variable.

What is the elimination method in solving systems of equations?

• It involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

• It requires graphing each equation to find the intersection point.

• It uses substitution to replace one variable with another.

• It involves multiplying equations to make the coefficients of one variable the same.

How do you graph a system of equations?

• You graph each equation on the same coordinate plane and look for points of intersection.

• You graph each equation separately on different coordinate planes.

• You solve the equations algebraically and plot the solutions on a graph.

• You only graph the first equation and ignore the second.

What is the substitution method in solving systems of equations?

• It involves solving one equation for one variable and substituting that expression into the other equation.

• It requires adding both equations together to eliminate one variable.

• It involves graphing both equations and finding their intersection point.

• It is a method that uses matrices to solve the equations.

What is the y-intercept in a linear equation?

• The point where the line crosses the x-axis, represented as (a, 0) in the equation y = mx + b.

• The point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

• The slope of the line in the equation y = mx + b.

• The value of y when x is equal to 1 in the equation y = mx + b.

What is the graphical representation of the solution to a system of equations?

• The point(s) where the graphs of the equations intersect.

• The area under the curve of the equations.

• The slope of the equations on a graph.

• The distance between the two lines.

What does it mean for a system of equations to have no solution?

• It means the equations represent parallel lines that never intersect.

• It means the equations have exactly one solution.

• It means the equations represent the same line.

• It means the equations have infinitely many solutions.

What is the difference between dependent and independent variables?

• The independent variable is what you measure, while the dependent variable is the one you control.

• The independent variable is the one you control (usually x), while the dependent variable is what you measure (usually y).

• The independent variable is always a constant, while the dependent variable varies.

• The independent variable is the one that changes based on the dependent variable.