IM Alg1.2.12 Practice: Writing and Graphing 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 [math]s[/math] represents the number of scarves sold and [math]h[/math] represents the number of hats sold, which system of equations represents the constraints in this situation?
Here are two equations:
[size=150]Equation 1: [math]6x+4y=34[/math][br]Equation 2: [math]5x-2y=15[/math][/size][br][br]Decide whether the [math](3,4)[/math]  pair is a solution to one equation, both equations, or neither of the equations.[br]
Decide whether the [math](4,2.5)[/math] pair is a solution to one equation, both equations, or neither of the equations.[br][br]
Decide whether the [math](5,5)[/math] pair is a solution to one equation, both equations, or neither of the equations.[br]
Decide whether the [math](3,2)[/math] pair is a solution to one equation, both equations, or neither of the equations.
Is it possible to have more than one [math](x,y)[/math] pair that is a solution to both equations? Explain or show your reasoning. 
[size=150]Explain or show that the point [math](5,-4)[/math] is a solution to this system of equations:[/size][br][math]\begin{cases} 3x-2y=23 \\ 2x+y=6 \\ \end{cases}[/math]
Diego is thinking of two positive numbers. He says, “If we triple the first number and double the second number, the sum is 34.”
Write an equation that represents this clue. Then, find two possible pairs of numbers Diego could be thinking of.[br]
Diego then says, “If we take half of the first number and double the second, the sum is 14.”[br]Write an equation that could represent this description.
What are Diego’s two numbers? Explain or show how you know. A coordinate plane is given below, in case helpful.
The table shows the volume of water in a tank after it has been filled to a certain height.
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[/img][br]Which equation could represent the volume of water in cubic inches, [math]V[/math], when the height is [math]h[/math] inches?[br]
[size=150]Andre does not understand why a solution to the equation [math]3-x=4[/math] must also be a solution to the equation [math]12=9-3x[/math].[/size][br]Write a convincing explanation as to why this is true.
Volunteer drivers are needed to bring 80 students to the championship baseball game.
[size=150]Drivers either have cars, which can seat 4 students, or vans, which can seat 6 students. The equation [math]4c+6v=80[/math] describes the relationship between the number of cars [math]c[/math] and number of vans [math]v[/math] that can transport exactly 80 students.[/size][br][img]data:image/png;base64,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[/img][br]Explain how you know that this graph represents this equation.
Three siblings are participating in a family-friendly running event.
[list][*]The oldest sibling begins at the start line of the race and runs 7 miles per hour the entire time.[/*][*]The middle sibling begins at the start line and walks at 3.5 miles per hour throughout the race.[/*][*]The youngest sibling joins the race 4 miles from the start line and runs 5 miles per hour the rest of the way.[/*][/list]
Match each graph to the sibling whose running is represented by the graph.
[size=150]What is the [math]x[/math]-intercept of the graph of [math]y=3-5x[/math]?[/size]
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Information: IM Alg1.2.12 Practice: Writing and Graphing Systems of Linear Equations