Exploring Systems of Equations

Which of the following methods is NOT mentioned as a way to solve systems of equations?

• Factoring

• Elimination

• Substitution

• Graphing

What form must an equation be in to graph it?

• y = ax^2 + bx + c

• x = my + b

• ax^2 + bx + c = 0

• y = mx + b

If you have the equation x + y = 3, what is the y-intercept when solved for y?

• 3

• -3

• 1

• -1

In the equation y = -3/2x + 7, what is the slope?

• -7

• 3/2

• -3/2

• 7

When using substitution, what do you do after substituting the known value into the other equation?

• Eliminate the variable

• Graph the equation

• Solve for the remaining variable

• Check for infinite solutions

In the substitution method, if y = 7x + 6, what do you substitute into the second equation?

• y

• 16

• x

• 7x + 6

What does it mean if, after elimination, you get a statement like 0 = -6?

• There is one solution

• There are infinite solutions

• There is no solution

• The solution is 0

In elimination, what do you do if the coefficients of the variable you want to eliminate are not the same?

• Subtract the equations

• Multiply one or both equations to make the coefficients the same

• Divide the equations

• Add the equations

If you have the equations 3x + 6y = 27 and x + 2y = 11, what should you multiply the second equation by to eliminate x?

• 2

• 6

• 3

• 1

What should you do if you have any questions after watching the video?

• Let the instructor know

• Search online

• Ask a friend

• Try to solve it yourself