Solutions Linear Equation Two Variables

For what value of k, do the equations 3x – y + 8 = 0 and 6x – ky = –16 represent coincident lines?

• 1/2

• −1/2

• 2

• −2

Tags

CCSS.8.EE.C.8B

Write an equation in Standard Form.
A store sells t-shirts for $12 each and sweatshirts for $15 each. You plan to spend $120 on t-shirts and sweatshirts.

• 2x + 5y = 120

• 12x + 15y = 120

• 12 + 15y = 2x

• 12x + 15 = 120

If (2, 0) is a solution of the linear equation 2x + 3y = k, then the value of k is.

• 4

• 6

• 5

• 2

The reason that a degree one polynomial equation ax + by + c = 0 is called a linear equation is that

• It has infinitely many solution

• The geometrical representation is a straight line

• It has two variables

• Both a and b

Which equation is written in STANDARD form?

• y = 1/2x + 2

• y - 3 = -5(x + 2)

• -7x + 2y = 9

• 3x + 2 = y

The equation x = 7, in two variables, can be written as

• x + 1. y = 7

• X + 0. y = 7

• 0. x + 1. y = 7

• 0.x + 0. Y = 7

Tags

CCSS.HSA.REI.C.8

If we multiply or divide both side of a linear equations 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

Which of the following options is the standard form of the linear equation 7x – 21 + 2y = 0?

• 21 + 2y + 7x = 0

• 2y + 7x – 21 = 0

• 7x – 21 + 2y = 0

• 7x + 2y – 21 = 0

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

How can you tell if a point is a solution to a system?

• It makes the first equation true.

• The (x,y) coordinates satisfy both equations

• It makes logical sense

• It makes neither equation negative