Linear Equations and Graphs

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•
Mathematics
•
7th Grade
•
Hard
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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.
2.
FLASHCARD QUESTION
Front
What does the slope of a line represent?
Back
The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (upward or downward).
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 represented by the value of b in the equation y = mx + b.
4.
FLASHCARD QUESTION
Front
How do you solve the equation 3(x+2) = 15?
Back
To solve, first distribute: 3x + 6 = 15. Then, subtract 6 from both sides: 3x = 9. Finally, divide by 3: x = 3.
5.
FLASHCARD QUESTION
Front
What is the solution to the equation -4x - 14 = 6?
Back
To solve, first add 14 to both sides: -4x = 20. Then, divide by -4: x = -5.
6.
FLASHCARD QUESTION
Front
What are the four quadrants in a coordinate plane?
Back
The four quadrants are: I (x > 0, y > 0), II (x < 0, y > 0), III (x < 0, y < 0), IV (x > 0, y < 0).
7.
FLASHCARD QUESTION
Front
How do you identify the quadrant of the point (10, -5)?
Back
Since x = 10 (positive) and y = -5 (negative), the point (10, -5) is located in Quadrant IV.
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