Linear Word Problems

Front

What is a linear equation?

Back

A linear equation is an equation that models a relationship between two variables in which the highest power of the variable is one, typically in the form y = mx + b.

Front

What does the variable 'x' typically represent in a linear word problem?

Back

In linear word problems, 'x' usually represents the independent variable, often indicating a quantity that can change, such as the number of items or time.

Front

What does the variable 'y' typically represent in a linear word problem?

Back

In linear word problems, 'y' usually represents the dependent variable, which is the outcome or total that depends on the value of 'x'.

Front

How do you identify the slope in a linear equation?

Back

The slope in a linear equation of the form y = mx + b is represented by 'm', indicating the rate of change of 'y' with respect to 'x'.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept in a linear equation is the value of 'y' when 'x' is zero, represented by 'b' in the equation y = mx + b.

Front

How can you determine the total cost from a linear equation in a word problem?

Back

To determine the total cost from a linear equation, substitute the value of 'x' (the number of items or rides) into the equation and solve for 'y'.

Front

What is the significance of the constant term in a linear equation?

Back

The constant term in a linear equation represents a fixed amount that does not change with 'x', such as a base fee or initial amount.

Front

How do you write a linear equation from a word problem?

Back

To write a linear equation from a word problem, identify the variables, determine the relationship between them, and express it in the form y = mx + b.

Front

What is the formula for calculating the total cost of a meal including delivery?

Back

The total cost of a meal including delivery can be calculated using the formula y = cost_per_person * x + delivery_fee.

Front

How do you interpret the slope in a real-world context?

Back

The slope in a real-world context indicates how much the dependent variable (y) changes for each unit increase in the independent variable (x).