Writing and Graphing Systems of Linear Equations

Last updated over 5 years ago

6 questions

Note from the author:

Solving Systems of Linear Equations

Library

Writing and Graphing Systems of Linear Equations

Last updated over 5 years ago

6 questions

Note from the author:

Solving Systems of Linear Equations

Question 1

The knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.
If s represents the number of scarves sold and h represents the number of hats sold, which system of equations represents the constraints in this situation?

40 s + h = 700 and18 s + 14 h = 700

18 s + 14 h = 40 and s + h = 700

s + h = 40 and 18 s + 14 h = 700

40 ( s + h ) = 700 and 18 s = 14 h

Question 2

Here are two equations:

Decide whether (3,4) is a solution to one equation, both equations, or neither of the equations.

Equation 1

Equation 2

Both Equations

Neither Equation

Question 3

Here are two equations:

Decide whether (4,2.5) is a solution to one equation, both equations, or neither of the equations.

Equation 1

Equation 2

Both Equations

Neither Equation

Question 4

Here are two equations:

Decide whether (5,5) is a solution to one equation, both equations, or neither of the equations.

Equation 1

Equation 2

Both Equations

Neither Equation

Question 5

Here are two equations:

Decide whether (3,2) is a solution to one equation, both equations, or neither of the equations.

Equation 1

Equation 2

Both Equations

Neither Equation

Question 6

Explain how you know (5,-4) is a solution to the system of equations:

Question 1

The knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.
If s represents the number of scarves sold and h represents the number of hats sold, which system of equations represents the constraints in this situation?

40 s + h = 700 and18 s + 14 h = 700

18 s + 14 h = 40 and s + h = 700

s + h = 40 and 18 s + 14 h = 700

40 ( s + h ) = 700 and 18 s = 14 h

Question 2

Here are two equations:

Decide whether (3,4) is a solution to one equation, both equations, or neither of the equations.

Equation 1

Equation 2

Both Equations

Neither Equation

Question 3

Here are two equations:

Decide whether (4,2.5) is a solution to one equation, both equations, or neither of the equations.

Equation 1

Equation 2

Both Equations

Neither Equation

Question 4

Here are two equations:

Decide whether (5,5) is a solution to one equation, both equations, or neither of the equations.

Equation 1

Equation 2

Both Equations

Neither Equation

Question 5

Here are two equations:

Decide whether (3,2) is a solution to one equation, both equations, or neither of the equations.

Equation 1

Equation 2

Both Equations

Neither Equation

Question 6

Writing and Graphing Systems of Linear Equations

Writing and Graphing Systems of Linear Equations

Here are two equations:Decide whether (3,4) is a solution to one equation, both equations, or neither of the equations.

Here are two equations:Decide whether (4,2.5) is a solution to one equation, both equations, or neither of the equations.

Here are two equations:Decide whether (5,5) is a solution to one equation, both equations, or neither of the equations.

Here are two equations:Decide whether (3,2) is a solution to one equation, both equations, or neither of the equations.

Explain how you know (5,-4) is a solution to the system of equations:

Here are two equations:Decide whether (3,4) is a solution to one equation, both equations, or neither of the equations.

Here are two equations:Decide whether (4,2.5) is a solution to one equation, both equations, or neither of the equations.

Here are two equations:Decide whether (5,5) is a solution to one equation, both equations, or neither of the equations.

Here are two equations:Decide whether (3,2) is a solution to one equation, both equations, or neither of the equations.

Explain how you know (5,-4) is a solution to the system of equations:

Here are two equations:

Decide whether (3,4) is a solution to one equation, both equations, or neither of the equations.

Here are two equations:

Decide whether (4,2.5) is a solution to one equation, both equations, or neither of the equations.

Here are two equations:

Decide whether (5,5) is a solution to one equation, both equations, or neither of the equations.

Here are two equations:

Decide whether (3,2) is a solution to one equation, both equations, or neither of the equations.

Here are two equations:

Decide whether (3,4) is a solution to one equation, both equations, or neither of the equations.

Here are two equations:

Decide whether (4,2.5) is a solution to one equation, both equations, or neither of the equations.

Here are two equations:

Decide whether (5,5) is a solution to one equation, both equations, or neither of the equations.

Here are two equations:

Decide whether (3,2) is a solution to one equation, both equations, or neither of the equations.