Solving Systems of Equations: Graphing, Substitution, and Elimination

Which methods are introduced in the video for solving systems of equations?

• Graphing, Substitution, and Elimination

• Graphing, Factoring, and Elimination

• Substitution, Factoring, and Elimination

• Graphing, Substitution, and Factoring

What is the preferred form for graphing equations in the graphing method?

• Point-slope form

• Intercept form

• Slope-intercept form

• Standard form

What is the y-intercept of the equation y = 3/2x - 2?

• -2

• 3/2

• 2

• -3/2

In the graphing method, what does the slope represent?

• The rise over run

• The intersection point

• The y-intercept

• The x-intercept

When is it beneficial to use the substitution method?

• When the equations are in standard form

• When both variables have coefficients greater than 1

• When a variable has a coefficient of 1 or -1

• When a variable has a coefficient of 2

What is the first step in solving a system using the substitution method?

• Multiply both equations

• Add the equations

• Isolate one variable

• Graph the equations

What is the solution to the system of equations solved using substitution in the video?

• (3, -2)

• (1, 2)

• (-1, -3)

• (2, 1)

What is the goal of the elimination method?

• To graph the equations

• To find the x-intercept

• To isolate one variable

• To eliminate one variable by adding or subtracting the equations

What is the common multiple of 4 and 3 used in the elimination method example?

• 15

• 9

• 12

• 6

What is the final solution to the system of equations solved using the elimination method in the video?

• (3, -2)

• (-1, -3)

• (1, 2)

• (2, 1)