Standard Form Word Problems

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What does the x-intercept represent in a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, indicating the value of x when y = 0.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x = 0.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the significance of the coefficients in the equation 15x + 20y = 400?

Back

The coefficients represent the cost of each item (short sleeve shirts and long sleeve shirts) in the context of the problem.

Front

What does the solution to the equation 15x + 20y = 400 represent?

Back

The solution represents the combinations of short sleeve (x) and long sleeve (y) shirts Juan can sell to reach his fundraising goal.

Front

How do you interpret the x-intercept in the context of Juan's shirt sales?

Back

The x-intercept represents the number of short sleeve shirts Juan must sell if he does not sell any long sleeve shirts.

Front

What is the x-intercept of the equation 4x - 10y = 20?

Back

The x-intercept is 5, found by setting y = 0 and solving for x.

Front

What is the y-intercept of the equation 4x - 10y = 20?

Back

The y-intercept is -2, found by setting x = 0 and solving for y.