Writing Equations from Word Problems

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as an equation, a graph, or a table.

Front

How do you write a function from a word problem?

Back

Identify the variables, determine the relationship between them, and express this relationship as an equation.

Front

What does the variable 'x' typically represent in a function?

Back

In a function, 'x' usually represents the independent variable or input.

Front

What does the variable 'y' typically represent in a function?

Back

In a function, 'y' usually represents the dependent variable or output.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the slope from a word problem?

Back

The slope represents the rate of change between the dependent and independent variables, often derived from the context of the problem.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that can be solved together.

Front

How do you solve a system of equations graphically?

Back

Graph each equation on the same coordinate plane and identify the point(s) where the lines intersect.

Front

What is the meaning of the y-intercept in a function?

Back

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

Front

What is a word problem?

Back

A word problem is a mathematical problem presented in a narrative form, requiring interpretation and translation into mathematical expressions.