What is a linear equation?
Writing Equations for Linear Word Problems

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•
Mathematics
•
8th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A linear equation is an equation that represents 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
How do you identify the slope in a linear equation?
Back
The slope (m) in a linear equation y = mx + b represents the rate of change of y with respect to x. It indicates how much y changes for a one-unit increase in x.
3.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear equation?
Back
The y-intercept (b) in a linear equation 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 can you write an equation from a word problem involving savings?
Back
Identify the initial amount and the rate of change (savings per month). Use the formula y = mx + b, where m is the savings per month and b is the initial amount.
5.
FLASHCARD QUESTION
Front
What is the equation for a cell phone bill that includes a monthly fee and a per-minute charge?
Back
The equation is C = fixed fee + (per-minute charge * x), where x is the number of minutes used.
6.
FLASHCARD QUESTION
Front
How do you set up an equation for a problem involving multiple items with different costs?
Back
Identify the cost of each item and the total budget. Use variables to represent the quantity of each item and set up an equation that sums the total cost to equal the budget.
7.
FLASHCARD QUESTION
Front
What is the significance of the coefficients in a linear equation?
Back
Coefficients represent the rate of change or the amount contributed by each variable in the equation. They indicate how much the dependent variable changes with a one-unit change in the independent variable.
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