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 meaning of the coefficients in the equation 15x + 20y = 400?

Back

The coefficients represent the cost of each item: $15 for short sleeve shirts (x) and $20 for long sleeve shirts (y).

Front

What does the solution to a system of equations represent in a word problem?

Back

The solution represents the values of the variables that satisfy all equations in the system, often indicating quantities needed to meet a goal.

Front

What is the domain in the context of a word problem?

Back

The domain refers to the set of possible input values (e.g., hours worked) that make sense in the context of the problem.

Front

What is the range in the context of a word problem?

Back

The range refers to the set of possible output values (e.g., total earnings) that result from the input values.

Front

How can you interpret the x-intercept in a fundraising scenario?

Back

The x-intercept indicates the number of one type of item (e.g., short sleeve shirts) that must be sold if no other type is sold to meet the fundraising goal.