Solving equations and inequalities for y
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+5
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the general form of a linear equation in two variables?
Back
The general form of a linear equation in two variables is Ax + By = C, where A, B, and C are constants.
2.
FLASHCARD QUESTION
Front
How do you solve for y in the equation 8x + 4y = 16?
Back
To solve for y, isolate y on one side: 4y = 16 - 8x, then y = -2x + 4.
Tags
CCSS.6.EE.C.9
3.
FLASHCARD QUESTION
Front
What does it mean to express y in terms of x?
Back
Expressing y in terms of x means rewriting the equation so that y is isolated on one side, showing how y depends on x.
Tags
CCSS.6.EE.C.9
4.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form of a linear equation is 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
How do you find the slope from the equation x + y = 4?
Back
Rearranging to slope-intercept form gives y = -x + 4, so the slope (m) is -1.
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
What is the y-intercept in the equation y = -1/2x + 5?
Back
The y-intercept is the value of y when x = 0, which is 5 in this case.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
7.
FLASHCARD QUESTION
Front
How do you graph the equation y = 5x - 16?
Back
Start at the y-intercept (0, -16) and use the slope (5) to find another point by going up 5 units and right 1 unit.
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