Writing and Graphing Systems of Linear Equations

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6 questions

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Solving Systems of Linear Equations

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

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

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

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

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

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

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

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

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

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

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

Writing and Graphing Systems of Linear Equations

Writing and Graphing Systems of Linear 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.