Linear Equation Word Problems
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a linear equation?
Back
A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
What does the slope of a linear equation represent?
Back
The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a unit change in x.
3.
FLASHCARD QUESTION
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.
4.
FLASHCARD QUESTION
Front
How do you interpret the y-intercept in a real-world context?
Back
The y-intercept often represents a fixed cost or initial amount before any variable costs are added.
5.
FLASHCARD QUESTION
Front
What is the general form of a linear inequality?
Back
A linear inequality is similar to a linear equation but uses inequality signs (>, <, ≥, ≤) instead of an equal sign.
6.
FLASHCARD QUESTION
Front
How do you graph a linear equation?
Back
To graph a linear equation, identify the y-intercept, plot it on the graph, and use the slope to find another point. Draw a straight line through the points.
7.
FLASHCARD QUESTION
Front
What does it mean if a linear equation has a positive slope?
Back
A positive slope indicates that as x increases, y also increases, showing a direct relationship between the two variables.
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