Systems of Equations Review

When graphed on the same coordinate plane, which equation results in a system of equations with exactly one solution?

• y = -2x+3

• y = -x+2

• y = -2x+3

• y = -2x + 4

Tags

CCSS.8.EE.C.8B

What is the solution to the system of equations?

y = 3x - 8

6x - 2y = -16

• (0,-5)

• (0,5)

• Infinitely many solutions

• No solution

Tags

CCSS.8.EE.C.8B

Tickets to a movie cost $10 for adults, and $6 for children. A family purchased 5 tickets for $38.

If x represents the number of adult tickets and y represents the number of children tickets, which system can be used to determine the number of adult and children tickets that were sold?

• x + 5 = y

  6x + 10y = 36

• x + y = 5

  10x + 6y = 38

• 5 + y = x

  10x + 38y = 6

• x + y = 5

  6x + 36y = 10

Tags

CCSS.8.EE.C.8C

Which statement describes the solution(s) to the system of equations:

-2x - 1y = 4 and -6x - 3y = 12?

• A. The system has a solution of (1,2).

• B. The system has a solution of (2,-4).

• C. The system has infinitely many solutions.

• D. The system has no solution.

Tags

CCSS.8.EE.C.8B

A school sold tickets for a school play. Tickets for teachers were sold for $5 each, and tickets for students were $3 each. A total of 213 tickets were sold and the total ticket sales was $739. Select the equations that form a system of equations that can be used to solve for T, the number of teacher tickets sold, and S, the number of student tickets sold.

• 5T + 3S = 739

• 3T + 5S = 739

• T + S = 739

• T + S = 213

• 3T + 5S = 213

Tags

CCSS.HSA.CED.A.3

A system of equations is shown: x = -2 and 7x + 2y = -10.

In the system of equations, what is the value of y?

• A. 1

• B. -1

• C. 0

• D. 2

Tags

CCSS.HSA.REI.C.9

What is the solution of the system of equations shown below?

x + 3y = 13

x - 3y = -17

• A. (0,5)

• B. (-2,5)

• C. (-14,9)

• D. (1,6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Consider the system of equations:

y = -2x - 5

x + 5y = -16

What is the solution to the system?

• A. (-2, 1)

• B. (4, -1)

• C. (-1, -3)

• D. (5, 1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Select two statements about the system of equations that are true.

• The system of equations has one solution.

• The two linear functions have the same rates of change.

• The system of equations has no solutions.

• The two linear functions have different rates of change.

• The system of equations has infinite solutions.

Tags

CCSS.8.EE.C.8B

Two lines are graphed on the same coordinate plane. The lines intersect at the point (0,0). Which of these systems of linear equations could represent the two lines?

Hint: Plugging in is a lot faster on this one than solving up to four systems.

• 3x + 3y = 9

  y = -6x - 9

• 5x + 1y = -13

  5x - 4y = 13

• -x - 4y = -4

  x + 2y = 4

• y = -3x

  2x - 5y = 0

Tags

CCSS.8.EE.C.8B