Linear Equations Word Problems
Flashcard
•
Mathematics
•
8th - 12th Grade
•
Hard
+4
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 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.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
2.
FLASHCARD QUESTION
Front
What does the slope in 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 steep the line is.
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
What is the y-intercept in a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis. It is the value of y when x is 0.
4.
FLASHCARD QUESTION
Front
How do you write an equation from a word problem involving a flat fee and a variable cost?
Back
Identify the fixed cost and the variable cost, then write the equation as C = fixed cost + (variable cost per unit * number of units).
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
5.
FLASHCARD QUESTION
Front
If a service costs $50 plus $8 per mile, what is the equation for total cost (C) for m miles?
Back
C = 8m + 50
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
6.
FLASHCARD QUESTION
Front
How do you represent a situation where a cost increases with time in a linear equation?
Back
Identify the initial cost and the cost per time unit, then write the equation as C = initial cost + (cost per time unit * time).
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
7.
FLASHCARD QUESTION
Front
What is the equation for renting a paddle boat that costs $15 plus $2 per hour?
Back
C = 2h + 15
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
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