8th Grade Testlet #4 - Linear Equations - Form A

Which system of linear equations has no solution?

• y = 2x - 4

  y = -2x +3

• y = 0.5x +5

  y = 3x +5

• y = -3/4x - 2

  y = -6/8x - 2

• y = 5x -1

  y = 5x - 4

Tags

CCSS.8.EE.C.8B

A system of linear equations is shown.

y = –2x + 3

y = 3 – 2x

Which statement about the solution to the system of linear equations is true?

• The system has one solution because the two equations have different slopes.

• The system has no solutions because the two equations have the same slope and the same y-intercept.

• The system has no solutions because the two equations have the same slope and different y-intercepts.

• The system has infinitely many solutions because the two equations have the same slope and the same y-intercept.

Tags

CCSS.8.EE.C.8B

Mrs. Smith wrote the system of linear equations shown.

y = 3x + 4

y = 3x + 7

Which of Mrs. Smith’s students correctly explained the number of solutions for the system of linear equations?

• Abby said the system has no solutions because the equations have different slopes.

• Bowen said the system has exactly one solution because both equations contain 3x.

• Cole said the system has no solutions because the equations have the same slope and different y-intercepts

• Deborah said the system has infinitely many solutions because the equations have the same slope and the same y-intercept.

Tags

CCSS.8.EE.C.8B

A system of linear equations is graphed on a coordinate plane. The lines have the same slope but different y-intercepts. How many solutions are there for the system of linear equations?

• no solutions

• one solution

• two solutions

• infinitely many solutions

Tags

CCSS.8.EE.C.8A

The graph of a system of linear equations is shown.
Which change to line g results in a system of equations with NO solution?

• changing the y-intercept of line g to the same y-intercept as line h without changing the slope

• changing the slope of line g to be the same as the slope of line h without changing the y-intercept

• changing the slope of line g to the opposite of the slope of line h without changing the y-intercept

• changing both the slope and y-intercept of line g to be the same as the slope and y-intercept of line h

Tags

CCSS.8.EE.C.8B

A system of linear equations is shown.

y = 4x – 3

y = –4x – 3

Which statement best explains the number of solutions to the system of linear equations?

• The system has no solutions because the slopes of the lines are different.

• The system has one solution because the slopes of the lines are different.

• The system has one solution because the y-intercepts of the lines are the same.

• The system has infinitely many solutions because the y-intercepts of the lines are the same.

Tags

CCSS.8.EE.C.8B

Select the two systems of linear equations that have infinitely many solutions.

• y = 2x + 4

  –2x + y = 4

• y = 2/5 x + 4

  2x + 5y = 20

• y = 1/3 x + 10

  y = -1/3x + 10

• y = 3/4 x + 10

  y = 0.75x + 12

• y = 3/4x – 5

  –3x + 4y = –20

Tags

CCSS.8.EE.C.8B

A system of linear equations is shown.

y = 4x – 3

y = –5 + 4x

Use the words below the blank lines to explain the number of solutions for the system of linear equations.

The system of linear equations has ​ ​ (a)   because the slopes of the two lines are ​ (b)   and the y-intercepts are ​ ​ (c)  

• no solutions
• equal
• not equal
• exactly 1 solution
• infinitely many solutions

Tags

CCSS.8.EE.C.8B