Solving Systems of Linear Equations

This video tutorial prepares students for a quiz on solving systems of linear equations. It covers three methods: graphing, substitution, and elimination. Each method is explained with examples, showing how to find the intersection points of lines, substitute variables, and eliminate terms to solve equations. The tutorial emphasizes understanding slopes, intercepts, and ordered pairs.

What is the main topic of the upcoming quiz?

• Solving quadratic equations

• Solving systems of linear equations

• Graphing linear inequalities

• Factoring polynomials

When solving by graphing, what does the intersection of two lines represent?

• The midpoint of the lines

• The y-intercept of the lines

• The solution to the system of equations

• The slope of the lines

If a line has a slope of -5/3, what does the negative sign indicate?

• The line goes up to the right

• The line is vertical

• The line goes down to the right

• The line is horizontal

In graphing, what is the first step when plotting a line with a y-intercept of -3?

• Plot a point at -3 on the y-axis

• Plot a point at -3 on the x-axis

• Draw a vertical line through -3

• Draw a horizontal line through -3

What is the slope of a line that moves up 1 unit and right 3 units?

• -3

• -1/3

• 3

• 1/3

When solving by substitution, what is the first step if you have y = 6x - 11?

• Solve for x in terms of y

• Add 11 to both sides

• Substitute 6x - 11 for y in the other equation

• Graph the equation

What is the result of distributing -3 through the expression 6x - 11?

• 18x + 33

• -18x - 33

• 18x - 33

• -18x + 33

In substitution, if x = 2, what is y in the equation y = 6x - 11?

• 12

• 11

• 2

• 1

What is the first step in solving a system by elimination?

• Graph the equations

• Substitute one equation into the other

• Solve for one variable

• Add or subtract the equations to eliminate a variable

If you have -4x and 4x in a system, what happens when you add the equations?

• The x terms become zero

• The x terms remain unchanged

• The x terms cancel out

• The x terms double