Systems of Linear Equations

What are systems of linear equations?

• a set of two or more linear equations in the same variables
• a polynomial with three terms
• set of two or more linear inequalities in the same variables

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Type the solution as an ordered pair, (x, y).

Tags

CCSS.8.EE.C.8B

At the zoo I saw 11 animals. Some of the animals were pigs and others were chicken. There were 28 legs. Write a system of linear equations to represent this situation.

• c + p = 28

  4c + 2p = 11

• c + p = 11

  4c + 2p = 28

• c + p = 11

  2c + 4p = 28

• c + p = 28

  2c + 4p = 11

Tags

CCSS.8.EE.C.8C

At the zoo I saw 11 animals. Some of the animals were pigs and others were chicken. There were 28 legs. Write a system of linear equations to represent this situation. How many chickens and pigs were there?

• 6 chickens and 5 pigs

• 7 chickens and 4 pigs

• 8 chickens and 3 pigs

• 9 pigs and 2 chickens

Tags

CCSS.8.EE.C.8C

What are two ways to graph a linear equation?

• Make a table

• Use inverse operations

• Substitute

• Use the slope intercept form

Which of these represents slope-intercept form?

• y - y₁ = m(x-x₁)
• Ax + By = C
• y = mx + b

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

From the equation: y = -2x+6 what is the y-intercept of the line?

• y

• 6

• x

• -2

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

From the equation: y = -2x +6 what is the slope of the line?

• y

• 6

• x

• -2

Tags

CCSS.8.EE.B.5

What is the y-intercept?

• (5, 0)

• (-5, 0)

• (0, 5)

• (0, -5)

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