Nonlinear Systems of Equations

Determine the number of solutions to the given linear-quadratic system.

• 0 solutions
• 1 solution
• 2 solutions
• 3 solutions

Tags

CCSS.HSA.REI.C.7

Find the solution to the system.

• (2,3) and (3,-15)

• (-3,-15) and (4,-8)

• (-3,15) and (8,4)

• (-8,4) and (-4,10)

Tags

CCSS.HSA.REI.C.7

Determine if the point (2,0) is a solution to the following system:

y=2x - 4

y=x² - 4

• Yes, because it works in one equation.

• Yes, because it works in the both equations.

• No, because it works in neither equation.

• No, because it works in only one equation.

Tags

CCSS.HSA.REI.C.7

Given the system of equations:

y = x² + 3x - 5

-x + y = 5

When x = -4, what is the value of y?

• -1

• 1

• 7

• the value of y is not the same for both equations

Tags

CCSS.HSA.REI.C.7

Find the exact solution(s) of the system of equations:

x² + y² = 16

x = y + 4.

• (4, 0) and (0, –4)

• (0, 4) and (–4, 0)

• (4, 0) and (–4, 0)

• (4, 0) and (0, 4)

Tags

CCSS.HSA.REI.C.7

Solve by elimination (graph to check your answers).

• {(4,-3),(4,3),(-4,-3),(-4,3)}

• {(3,-4),(3,4),(-3,-4),(-3,4)}

• {(-1,2),(-1,-2),(1,2),(1,-2)}

• {(-2,-1),(-2,1),(2,-1),(2,1)}

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system.

• (-10, -4)
• (-10, -4) and (-6, 5)
• (-10, -4) and (-6, 5) and (0, 5)
• (-10, -4) and (-6, 5) and (0, 5) and (4, -4)

Tags

CCSS.HSA.REI.C.7

• No real Solutions

Tags

CCSS.HSA.REI.C.7