How many solutions does the system of equations below have? y = -x + 6, y = -x + 8
Foundations Exam Review - PARTNER

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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
No Solution: The two lines are parallel and will never intersect.
2.
FLASHCARD QUESTION
Front
Identify the y-intercept of the equation: 6x + 2y = -14
Back
The y-intercept is -7. To find it, set x = 0 and solve for y.
3.
FLASHCARD QUESTION
Front
Does the following equation represent a vertical line, a horizontal line, or neither? y = −3
Back
Horizontal line: This equation indicates that y is always -3, regardless of x.
4.
FLASHCARD QUESTION
Front
For the function f(x) = -3(x-1), find f(0).
Back
f(0) = 3. Substitute 0 into the function to find the output.
5.
FLASHCARD QUESTION
Front
Rearrange the formula x = abc - d to solve for b.
Back
b = \frac{x + d}{ac}. Rearranging involves isolating b on one side of the equation.
6.
FLASHCARD QUESTION
Front
What is the slope of the line represented by the equation y = -x + 6?
Back
The slope is -1. In the slope-intercept form y = mx + b, m is the slope.
7.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has one solution?
Back
One solution means the lines intersect at exactly one point, indicating a unique solution.
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