Solving Systems of Equations with Quadratics

A system of a linear and a quadratic equation is shown below.

x + y + 12 = x²

x = y – 3

When solving the system algebraically, what is the solution?

• (-3, 0)

• (5, 8)

• (-3, 0) and (5, 8)

• (3, 6) and (-5, -2)

Tags

CCSS.HSA.REI.C.7

Which of the following is a possible solution to the system of equations

3x - y = 7

y = x² + 6x -17?

• (-5, 2)

• (2, -1)

• (5, 8)

• (0, -17)

Tags

CCSS.HSA.REI.C.7

• (4, 6)

• (2, -12)

• (-6, -5)

• no solution

Tags

CCSS.HSA.REI.C.7

When the solving a system of equations that includes one linear equation and one quadratic equation, how many solutions can be found?

• None

• One

• Two

• All of the above

Tags

CCSS.HSA.REI.C.7

A rocket is launched from the ground and follows a parabolic path represented by the equation y = −x² + 10x. At the same time a flare is launched downward from a height of 10 feet and follows a straight path represented by the equation y = −x + 10. Which of the following is a possible point where the rocket and the flare will cross paths?

• (0, 10)

• (1, 9)

• (5, 25)

• (10, 1)

For part of his math homework Cesar must write a quadratic function that would fit the points given in the table. Which of the following functions should he use as his solution?

Using the graph, which quadratic function in standard form models the data?

Write a quadratic function that fits the points (0, 7), (2, 3), and (3, 4).

Find the quadratic function that includes the points (-2,22),(1,-5) & (3,-3)

Write a quadratic function that fits the points (0, 5), (2, 3), and (4, 9).