Systems (Graphing and Substitution)

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•
Mathematics
•
8th - 10th Grade
•
Hard
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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 on a graph.
2.
FLASHCARD QUESTION
Front
What does it mean to graph an equation?
Back
Graphing an equation means plotting all the points that satisfy the equation on a coordinate plane.
3.
FLASHCARD QUESTION
Front
What is substitution in solving systems of equations?
Back
Substitution is a method where you solve one equation for one variable and then substitute that expression into the other equation.
4.
FLASHCARD QUESTION
Front
How do you determine the point of intersection of two lines?
Back
The point of intersection is found by solving the system of equations, which gives the values of the variables that satisfy both equations.
5.
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.
6.
FLASHCARD QUESTION
Front
How do you find the slope of a line given two points?
Back
The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).
7.
FLASHCARD QUESTION
Front
What does it mean for two lines to be parallel?
Back
Two lines are parallel if they have the same slope and will never intersect.
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