Flashcard - Writing Linear Equations, Word Problems, Inequalities
Flashcard
•
Mathematics
•
9th Grade
•
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 represents 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 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 (positive or negative).
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
How do you determine if a point is part of the solution set of a linear equation?
Back
To determine if a point is part of the solution set, substitute the x and y values of the point into the equation. If the equation holds true, the point is part of the solution set.
4.
FLASHCARD QUESTION
Front
What is the y-intercept of 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.
5.
FLASHCARD QUESTION
Front
How can you write the equation of a line given two points?
Back
To write the equation of a line given two points, first calculate the slope (m) using the formula m = (y2 - y1) / (x2 - x1). Then use the point-slope form y - y1 = m(x - x1) to find the equation.
6.
FLASHCARD QUESTION
Front
What is the difference between a linear equation and a linear inequality?
Back
A linear equation represents a straight line, while a linear inequality represents a region of the graph that is above or below the line, indicating a range of possible solutions.
Tags
CCSS.HSA.REI.D.12
7.
FLASHCARD QUESTION
Front
How do you graph a linear inequality?
Back
To graph a linear inequality, first graph the corresponding linear equation as a dashed or solid line (depending on whether the inequality is strict or inclusive). Then shade the region that satisfies the inequality.
Tags
CCSS.HSA.REI.D.12
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