M1 - Is it a Solution? (pre-systems)
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
+6
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a solution to an equation?
Back
A solution to an equation is a value or set of values that makes the equation true when substituted into it.
2.
FLASHCARD QUESTION
Front
What does the ordered pair (x, y) represent in a coordinate system?
Back
The ordered pair (x, y) represents a point on the Cartesian plane, where 'x' is the horizontal coordinate and 'y' is the vertical coordinate.
Tags
CCSS.5.G.A.1
3.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to an equation?
Back
To determine if a point is a solution, substitute the x-value into the equation and check if the resulting y-value matches the y-value of the point.
4.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form is given by the equation y = mx + b, where 'm' is the slope and 'b' is the y-intercept.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
5.
FLASHCARD QUESTION
Front
What does it mean for a point to satisfy a system of equations?
Back
A point satisfies a system of equations if it makes all equations in the system true when substituted.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.
7.
FLASHCARD QUESTION
Front
How can you verify if (3, 2) is a solution to the equation y = -\frac{2}{3}x + 4?
Back
Substitute x = 3 into the equation: y = -\frac{2}{3}(3) + 4 = 2. Since the calculated y-value matches the point, (3, 2) is a solution.
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