Systems of Linear Equations

Lines that intersect once have __________.

• no solutions

• infinitely many solutions

• one solution

Tags

CCSS.8.EE.C.8A

Lines that are parallel have __________.

• no solutions

• infinitely many solutions

• one solution

Tags

CCSS.8.EE.C.8A

Two equations that create the same line have _________.

• no solutions

• infinitely many solutions

• one solution

Tags

CCSS.8.EE.C.8A

An ordered pair is in the form:

• x, y

• y, x

• (x, y)

• (y, x)

Tags

CCSS.5.G.A.1

CCSS.5.G.A.2

Solve the system by graphing. Write the solution as an ordered pair.

 $y=-3x+3$  
 $y=\frac{1}{2}x-4$  

Write your answer in the form (x, y) or it will not score correct.

(a)  

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Choose the correct words from the drop-down menu to make a true statement about the system of equations.

 $y=\frac{1}{3}x+2$  

 $x-3y=6$  

• infinitely many solutions

• no solution

• one solution

Tags

CCSS.8.EE.C.8B

Which answer shows 8.7428 rounded to the nearest tenth?

• 8

• 8.7

• 8.74

• 8.743

Tags

CCSS.5.NBT.A.4

Write your answer in the form (x, y) or it will not be scored correct. Round to the nearest tenth if necessary.

(a)  

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Thato walks uphill at a rate of 2.5 mi/h from the base of a 6-mi trail. At the same time, Edwin walks downhill at a rate of 3.5 mi/h from the top of the trail. 

Which equation models Thato's walk uphill away from the base of the trail?

•  $y\ =\ 2.5x\ +\ 3.5\ x\ +\ 6$  

•  $y\ =\ 2.5x$  
  

•  $y\ =\ 3.5x\ +\ 6$  
  

•  $y\ =\ 6\ -\ 3.5x$  
  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

Thato walks uphill at a rate of 2.5 mi/h from the base of a 6-mi trail. At the same time, Edwin walks downhill at a rate of 3.5 mi/h from the top of the trail. 

Which equation models Edwin's walk downhill towards the base of the trail?

•  $y\ =\ 2.5x\ +\ 3.5\ x\ +\ 6$  

•  $y\ =\ 2.5x$  
  

•  $y\ =\ 3.5x\ +\ 6$  
  

•  $y\ =\ 6\ -\ 3.5x$  
  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1