Writing Linear Equations - Word Problems

Flashcard
•
Mathematics
•
9th 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 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 in a linear equation represent?
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.
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 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
If a person saves $20 each week starting with $100, how would you represent this situation with a linear equation?
Back
y = 20x + 100, where y is the total savings after x weeks.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
6.
FLASHCARD QUESTION
Front
A plant grows 3 cm each month starting from a height of 5 cm. Write the linear equation for this situation.
Back
y = 3x + 5, where y is the height of the plant after x months.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
7.
FLASHCARD QUESTION
Front
Sally walks 12 miles every week. Write the equation that represents the total distance walked after x weeks.
Back
y = 12x, where y is the total distance and x is the number of weeks.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
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