Systems: Word Problems

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.

Front

How do you represent a situation with a system of equations?

Back

Identify the variables, write equations based on the relationships described in the problem, and ensure they reflect the situation accurately.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0; it represents the starting point of the line on the y-axis.

Front

How do you find the point of intersection of two lines?

Back

Set the equations equal to each other and solve for the variable. Substitute back to find the other variable.

Front

What is the significance of the setup fee in a cost equation?

Back

The setup fee is a fixed cost that must be paid regardless of the number of items produced or purchased.

Front

How do you determine when two companies charge the same amount?

Back

Set the cost equations of both companies equal to each other and solve for the variable representing the quantity.

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical problem that is presented in the form of a narrative or real-life scenario.

Front

How can you translate a word problem into an equation?

Back

Identify key information, define variables, and express relationships using mathematical symbols.

Front

What does it mean for two tanks to have the same amount of water?

Back

It means that the volume of water in both tanks is equal at a certain point in time, often after a certain number of weeks.