Solving multi-step problems using non-linear equations in two or more variables

Solve the system of linear and quadratic equations:

y = 5

y = 2x² - 16x + 29

• (6, 5) and (2, 5)

• (2, 6)

• (6, 2)

• (5, 6) and (5, 2)

Tags

CCSS.HSA.REI.C.7

A system that contains one linear function and one quadratic function can have 0, 1, or 2 solutions.

• True

• False

• Cannot be determined

Tags

CCSS.HSA.REI.C.7

What is the solution to the following system?

^{y = 3x}

^{12x - 4y = 20}

• (0, 0)

• no solutions

• (0, 20)

• infinite solutions

Tags

CCSS.HSA.REI.C.7

4.

• (1, -1)

• (-1, 1)

• (0, 1)

• (1, 0)

Tags

CCSS.HSA.REI.C.7

What is/are the x-coordinate(s) for this system?:

 $y=x^2+6x+4$  

 $x+y=-2$  

•  $x=6,-1$  

•  $x=4$  

• No Solutions

Tags

CCSS.HSA.REI.C.7

Solve the system of linear and quadratic equations using substitution:
y = 5
y = 2x² - 16x + 29

• (6, 5) and (2, 5)
• (2, 6)
• (6, 2)
• (5, 6) and (5, 2)

Tags

CCSS.HSA.REI.C.7

• No Solutions

Tags

CCSS.HSA.REI.C.7

• A
• B
• C
• D

Tags

CCSS.HSA.REI.C.7

• zero

• one

• two

• three

Tags

CCSS.HSA.REI.C.7

Find ALL solutions to the system of non-linear equations:



 $y=-2x-5$  
 $y=x^2+2x+5$  

• No Solutions

•  $\left(1,-7\right)$  

•  $\left(2,-9\right)$  

•  $\left(1,-7\right)\&\left(2,-9\right)$  

Tags

CCSS.HSA.REI.C.7