Jeopardy: Equations, Inequalities, and Systems

Jeopardy: Equations, Inequalities, and Systems

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Solve It!

What is the solution to the equation 2x + 4 = 10?

What is the solution to the equation 5x - 10 = 0?

What is the solution to the system of equations: 2x + y = 14 and x - y = -2?

What are the coordinates of the intersection point of the equations y = 2x + 1 and y = 3x?

What is the solution to the equation 4x - 5 = x + 10?

Write the Equation

What is the equation of the line with a slope of 2 that passes through the origin?

Write the equation of the line with a slope of -3 that intercepts the y-axis at 9.

Convert the point-slope form to slope-intercept form for the point (1,4) and slope 2.

Write the equation in standard form for a line that passes through (0, 10) and (10, 0).

Write the equation of the line with a slope of 1/2 that passes through (0, 4).

Graph It!

What does the graph of the equation y = 3 look like?

Describe the graph of the equation y = x - 2.

What are the x-intercept and y-intercept of the equation 2x + 2y = 4?

What does the graph of the inequality

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Compare and Contrast

Do the lines y = 2x +1 and y = 2x + 5 intersect?

What is the difference between a consistent and inconsistent system?

How do equations differ from inequalities?

What is the primary difference between linear and nonlinear equations?

Compare the concepts of equations and inequalities.

Challenge

Solve the equation 3x + 15 = 0.

Solve the inequality 2x + 8 < 0.

For the system of equations y = x + 1 and y = x - 3, find solutions.

What is the solution to the system: 3x + 4y = 8 and x - 2y = 10?

How do you solve the cubic equation x^3 - 6x^2 + 11x - 6 = 0?