Systems of Linear Equations

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (0, 1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

How many solutions does this system of equations have?

• One Solution
• No solution
• Infinitely Many Solutions
• Two Solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

There are 50 T-Rexes and Stegosauruses on your dinosaur farm. There are a total of 174 legs. Which system below can be used to figure out how many of each dinosaur your dino farm has?

• t + s = 174

  4t + 2s = 50

• t + s = 50

  4s + 2t = 174

• s + t = 50

  2s + 4s = 174

• s + t = 174

  2s + 4t = 50

Solve the system of equations by graphing. You may use graph paper or a white board.

y = -4x + 5

y = 3x - 16

• (-3, -25)

• (3,-7)

• (11, 17)

• (21, 47)

Solve the system of equations by substitution.

y = -²/₅x + 9

y = 2x − 3

• (7, 5)

• (5, 7)

• (-5, 7)

• (-7, 5)

If a system of linear equations has one solution, what does this mean about the two lines?

• The lines are parallel.

• The equaltions graph the same line.

• The lines intersect.

• None of the above.

This system has _____ solutions

• 0
• 1
• 2
• Infinitely many

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. She can also complete 2 haircuts and 4 hair dyes in 450 minutes. Which system of equations represents the situation?

• 3x + 2y = 315

  2x + 4y = 450

• 3x + 2y = 450

  2x + 4y = 315

• 2x + 2y = 315

  3x + 4y = 450

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (0, 1)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

How many solutions does this system of equations have?

• One Solution
• No solution
• Infinitely Many Solutions
• Two Solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11