LINEAR EQUATIONS IN TWO VARIABLES

Graphically, the pair of equations 6x – 3y + 10 = 0 , 2x – y + 9 = 0 represents two lines which are

• intersecting at exactly one point
• intersecting at exactly two points.
• coincident. 
•  parallel.

Tags

CCSS.8.EE.C.8B

The pair of equations x + 2y + 5 = 0 and –3x – 6y + 1 = 0 have  

•  a unique solution
• exactly two solutions
• infinitely many solutions
• No solution

Tags

CCSS.8.EE.C.8B

The value of c for which the pair of equations cx – y = 2 and 6x – 2y = 3 will have infinitely many solutions is 

• 3 
• – 3 
• –12 
• no value

Tags

CCSS.8.EE.C.8B

If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is 

• –5/4
• 2/ 5 
• 15/4
• 3/2

Tags

CCSS.HSG.GPE.B.5

The pair of equations x = a and y = b graphically represents lines which are  

• parallel 
•  intersecting at (b, a)
•  coincident
•  intersecting at (a, b)

Tags

CCSS.8.EE.C.8B

For which value(s) of k will the pair of equations kx + 3y = k – 3 12x + ky = k have no solution?

• 6
• −6
• ± 6
• 4

Tags

CCSS.8.EE.C.8B

The graph of the line x = 6 is a line___

• parallel to x -axis at a distance of 6 untis from origin
• parallel to y-axis at a distance of 6 units from the origin
• making an intercept 6 on the x-axis
• making an intercept 6 on both the axis

Tags

CCSS.HSG.GPE.B.5

CCSS.HSA.REI.D.10

If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation____

• Changes
• Remains the same 
• Changes in case of multiplication only
• Changes in case of division only

Tags

CCSS.HSA.REI.A.1

How many linear equations in x and y can be satisfied by x = 1 and y = 2

• Only one
• Two
• Infinitely many
• Three

Tags

CCSS.8.EE.C.8B

There are 50 donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?

• d + c = 174

  4d + 2c = 50

• d + c = 50

  4d + 2c = 174

• d + c = 50

  2d + 4c = 174

• d + c = 174

  2d + 4c = 50

Tags

CCSS.8.EE.C.8C