Exploring Adding and Subtracting Rational Expressions

What is the definition of a system of equations?

• Two or more equations with the same variables

• Two or more equations with different variables

• One equation with one variable

• One equation with multiple variables

Graphically, what represents the solution to a system of equations?

• The point where the lines are parallel

• The point where the lines intersect

• The point where the lines are vertical

• The point where the lines are horizontal

What type of solution does a system have if the lines are parallel?

• One solution

• No solution

• Two solutions

• Infinite solutions

If two lines in a system are coincident, what type of solution does the system have?

• Two solutions

• Infinite solutions

• No solution

• One solution

What is the first step in solving a system of equations by graphing?

• Check for parallel lines

• Graph both lines

• Rewrite the equations in slope-intercept form

• Identify the solution

In the equation y = mx + b, what does 'm' represent?

• The solution

• The x-intercept

• The y-intercept

• The slope

For the system y = x - 8 and y = -2x + 1, what is the solution?

• (3, -5)

• (2, -3)

• (1, -2)

• (0, -1)

What is the solution for the system y = 1/2x + 9 and y = -x + 6?

• (-2, -2)

• (2, -8)

• (2, 2)

• (-2, 8)

If the system of equations is y = 3x + 8 and y = x - 2, what is the solution?

• (-5, -7)

• (5, 7)

• (-3, -4)

• (3, 4)

What should you do if the lines in a system of equations do not intersect?

• Identify the solution as no solution

• Identify the solution as two solutions

• Identify the solution as infinite

• Identify the solution as one solution