Exploring Adding and Subtracting Rational Expressions

What are systems of equations?

• Two or more polynomial equations

• Two or more exponential equations

• Two or more linear equations

• Two or more quadratic equations

What does it mean when two lines on a graph have one solution?

• The lines are parallel

• The lines never intersect

• The lines intersect at one point

• The lines are the same

How do you start graphing a line in slope-intercept form?

• By plotting the x-intercept

• By plotting the y-intercept

• By plotting the slope

• By plotting the origin

What is the solution to the system of equations y = -5/3x - 6 and y = 1/6x + 5?

• (-6, 4)

• (6, -4)

• (-4, 6)

• (4, -6)

What does it mean if two lines on a graph are parallel?

• They have infinite solutions

• They intersect at multiple points

• They have no solution

• They have one solution

What is the first step in solving systems of equations by substitution?

• Graph the equations

• Isolate a variable in one equation

• Combine the equations

• Check the solution

In the substitution method, what do you do after isolating a variable?

• Check the solution

• Substitute the isolated variable into the other equation

• Combine the equations

• Graph the equations

What is the solution to the system of equations x - 9 = -7x - 1 and y = x - 9?

• (1, -8)

• (-1, 8)

• (8, -1)

• (-8, 1)

What does it mean if the substitution method results in a false statement like -5 = 5?

• There is no solution

• There is one solution

• The solution is incorrect

• There are infinite solutions

What is the solution to the system of equations 4x + 3y = -5 and x + 5 = 3y?

• (-1, 2)

• (2, -1)

• (1, -2)

• (-2, 1)