Write Linear Equations

Flashcard
•
Mathematics
•
8th Grade
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear equation?
Back
A linear equation is an equation that models 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.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
2.
FLASHCARD QUESTION
Front
What does the slope (m) represent in a linear equation?
Back
The slope (m) 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 one-unit increase in x.
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
What does the y-intercept (b) represent in a linear equation?
Back
The y-intercept (b) is the value of y when x is 0. It represents the starting point of the linear relationship on the y-axis.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
4.
FLASHCARD QUESTION
Front
How do you write a linear equation from a word problem?
Back
Identify the variables, determine the fixed costs and variable costs, and then express the relationship in the form y = mx + b.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
5.
FLASHCARD QUESTION
Front
What is the equation for a situation where a fixed cost is added to a variable cost?
Back
The equation is y = mx + b, where m is the variable cost per unit and b is the fixed cost.
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
In the equation y = 20x + 100, what do the numbers 20 and 100 represent?
Back
In this equation, 20 represents the amount saved per week (variable cost), and 100 represents the initial amount in the savings account (fixed cost).
Tags
CCSS.HSF.LE.B.5
7.
FLASHCARD QUESTION
Front
How can you determine the total cost from a linear equation?
Back
Substitute the value of x (number of units) into the equation to calculate the total cost (y).
Tags
CCSS.HSF.LE.B.5
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