Questions from Survey of Mathematics


Q: Develop a system of linear equations that has 16, 52 as

Develop a system of linear equations that has 16, 52 as its solution. Explain how you developed your system of equations.

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Q: Graph the equation by plotting points, as in Example 3.

Graph the equation by plotting points, as in Example 3. y = x – 2

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Q: 2x2 - 4x + 5 = 0 Solve the equation,

2x2 - 4x + 5 = 0 Solve the equation, using the quadratic formula. If the equation has no real solution, so state.

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Q: Determine the slope of the line through the given points. If

Determine the slope of the line through the given points. If the slope is undefined, so state. (-2, 6) and (-4, 9)

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Q: Construct a system of two linear equations that has no solution.

Construct a system of two linear equations that has no solution. Explain how you know the system has no solution.

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Q: Graph the equation by plotting points, as in Example 3.

Graph the equation by plotting points, as in Example 3. y = -2x + 3

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Q: Determine whether the graph represents a function. If it does represent

Determine whether the graph represents a function. If it does represent a function, give its domain and range.

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Q: Determine the slope of the line through the given points. If

Determine the slope of the line through the given points. If the slope is undefined, so state. (-3, -5) and (-1, -2)

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Q: When solving a system of linear equations by the substitution method,

When solving a system of linear equations by the substitution method, a student obtained the equation 0 = 0 and gave the solution as 10, 02. What is the student’s error?

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Q: Graph the equation by plotting points, as in Example 3.

Graph the equation by plotting points, as in Example 3. y - 4x = 8

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