Linear Equations from Word Problems
Flashcard
•
Mathematics
•
7th Grade
•
Practice Problem
•
Hard
+4
Standards-aligned
Wayground Content
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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 much y changes for a one-unit increase in x.
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 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 write a linear equation from a word problem?
Back
Identify the variables, determine the relationship between them, and express that relationship in the form of a linear equation.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
5.
FLASHCARD QUESTION
Front
What is the equation for a fitness club membership that starts with 80 members and increases by 15 members each month?
Back
y = 15x + 80, where x is the number of months.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
6.
FLASHCARD QUESTION
Front
If a tank releases water at a rate of 25 gallons per minute and starts with 120 gallons, what is the equation for the amount of water left after x minutes?
Back
y = 120 - 25x.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
7.
FLASHCARD QUESTION
Front
What is the equation for the total cost of joining an online learning community with a $20 startup fee and a $5 monthly fee?
Back
y = 5x + 20, where x is the number of months.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
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