Algebra 1 Final Review

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a polynomial?
Back
A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 6n^2 - 7n^4 + 8 is a polynomial.
2.
FLASHCARD QUESTION
Front
How do you add polynomials?
Back
To add polynomials, combine like terms by adding their coefficients. For example, (6n^2 - 7n^4 + 8) + (6 + 8n + 4n^4) = -3n^4 + 6n^2 + 8n + 14.
3.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.
4.
FLASHCARD QUESTION
Front
How do you model a savings account with a function?
Back
To model a savings account, use a linear function where the initial amount is the y-intercept and the monthly savings is the slope. For example, Bob's savings can be modeled as y = 40x + 150.
5.
FLASHCARD QUESTION
Front
What is the slope of a line?
Back
The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run). For example, the slope between points (10, 1) and (5, 2) is -1/5.
6.
FLASHCARD QUESTION
Front
How do you find the slope between two points?
Back
To find the slope between two points (x1, y1) and (x2, y2), use the formula: slope = (y2 - y1) / (x2 - x1).
7.
FLASHCARD QUESTION
Front
Back
This inequality represents a range of values for x that satisfy the condition. Solving it gives x <= -5.
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