Systems of Linear Equations Using Substitution

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards.  One rushed 4 times as many yards as the other.  Let x and y represent the number of yards each individual player rushed. Which system of equations could be used? 

• x + y = 1550
  y  = 4x

• x + y = 1550
  y = x + 4

• y - x = 1550
  y = 4x

• y = 1550 + x
  y = x + 4

Tags

CCSS.8.EE.C.8C

• Yes

• No

What is the value of the x-coordinate to the solution to this system of linear equations? 2x + 3y = 15 and -x + 3y = 3

• 3

• -3

• 6

• 4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the value of the y-coordinate in this system of linear equations?

6x + 10y = -32 and 6x + 9y = -27

• y = 5

• y = 0

• y = -5

• y = 1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

When both lines in a system are identical, the system has __________________.

• infinite solutions

• one solution

• no solution

• parallel solutions

Tags

CCSS.8.EE.C.8A

Solve the system given:
3x - y = 7
2x + y = 3

• (-1,2)

• (5,4)

• (4,5)

• (2,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The solution of a system of linear equations is...

• the y-intercept (b)

• the intersection of the two equations on a graph

• the second equations' answers

• the slope (m)

Tags

CCSS.8.EE.C.8B

What type of system is being illustrated by the graph?

• Consistent but Independent

• Consistent and Dependent

• Inconsistent

• Independent

Tags

CCSS.8.EE.C.8A

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

• Parallel lines

• the same line 

• Intersecting lines

Tags

CCSS.8.EE.C.8A

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