Writing Systems of Equations Through Word Problems
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+6
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect.
Tags
CCSS.HSA.REI.C.6
CCSS.8.EE.C.8B
2.
FLASHCARD QUESTION
Front
How do you represent a word problem as a system of equations?
Back
Identify the variables, translate the relationships and conditions into equations, and set them equal to each other.
Tags
CCSS.HSA.CED.A.3
3.
FLASHCARD QUESTION
Front
What does it mean for two lines to intersect on a graph?
Back
It means that the two equations have a common solution, which is the point where both equations are true.
Tags
CCSS.8.EE.C.8B
4.
FLASHCARD QUESTION
Front
What is the significance of the point (3, 19) in the context of the problem?
Back
It represents the number of items sold by both Lisa and Tammy when they have earned the same amount.
Tags
CCSS.8.EE.C.8C
5.
FLASHCARD QUESTION
Front
How can you determine the solution to a system of equations graphically?
Back
By plotting both equations on the same graph and identifying the point where they intersect.
Tags
CCSS.8.EE.C.8B
6.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.F.A.3
CCSS.8.EE.B.6
7.
FLASHCARD QUESTION
Front
What does the slope of a line represent in a real-world context?
Back
The slope represents the rate of change, such as how many items are sold per hour.
Tags
CCSS.8.EE.B.5
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