Solving Nonlinear Equations through Graphing Techniques

Which of the following is NOT a method for solving systems of equations?

• Elimination

• Graphing

• Substitution

• Multiplication

What shape does a degree 2 equation graph into?

• Line

• Hyperbola

• Parabola

• Circle

Tags

CCSS.HSA.REI.C.7

How many solutions are possible when a line intersects a parabola?

• 1

• 0

• 2

• All of the above

What is the vertex of the parabola y = x^2 - 2?

• (2, 0)

• (-2, 0)

• (0, -2)

• (0, 2)

Tags

CCSS.8.EE.B.5

What is the slope of the line y = 2x + 1?

• 1

• -2

• 2

• -1

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What is the y-intercept of the line y = 2x + 1?

• -2

• -1

• 1

• 2

Tags

CCSS.HSA.REI.C.7

How many intersection points are there between the parabola and the line in the given system?

• 0

• 1

• 2

• 3

Which coordinate is a solution to the system of equations?

• (3, 7)

• (-1, 1)

• (2, 4)

• (0, -2)

Tags

CCSS.HSA.REI.C.7

To verify a solution to the system of equations, you should substitute the coordinates into:

• A new equation derived from the system

• The line equation only

• The parabola equation only

• Both the parabola and line equations

What is the result of substituting the coordinate (3, 7) into the parabola equation?

• 7 - 3 = 4

• 3^2 + 7 = 16

• 9 - 7 = 2

• 3 - 7 = -4