Systems Solving Strategy

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes

• no

The graphs of two linear equations are shown. What is the best estimate of the solution to the system of linear equations?

• (0, 3)

• (3, 0)

• (0, -3)

• (-3, 3)

• (-3, 0)

Tags

CCSS.8.EE.C.8B

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables?

• t: # of tacos

  m: # of glasses of milk

• t: Cost of each taco

  m: Cost of each glass of milk

• t: total cost

  m: # of food items

• t: Cost of each glass of milk

  m: Cost of each taco

Tags

CCSS.8.EE.C.8C

If a system of equations has no solution, what does the graph look like? 

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

Tags

CCSS.8.EE.C.8A

Which strategy is the best choice for solving this system?

• Elimination

• Elimination with multiplication

• Substitution

• Graphing

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

When does a system of equations have no solutions?

• When the lines cross in only one point

• When lines are perpendicular

• When the lines are parallel

• There is ALWAYS a solution!

Tags

CCSS.8.EE.C.8B

Which variable will be eliminated first?

• x

• y

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations using substitution

y = -6

-3x - 6y = 24

• (6, 6)

• (6, -6)

• (4, -6)

• (-6, 4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, how many of each type of ticket were sold? What of the following systems represent this situation?

• S + A = 530

  3S + 4A = 1740

• S + A = 530

  4S + 3A = 1740

• S + A = 1740

  3S + 4A = 530

• S + A = 1740

  4S + 3A = 530

Tags

CCSS.HSA.CED.A.3

Which method would be best (quickest) for solving the system below:

• Making trials

• Elimination

• Graphing

• None of these

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6