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Questions and Answers
What is the correct interpretation of the solutions from the equation $3x^2 + 5x + 2 = 0$?
What is the correct interpretation of the solutions from the equation $3x^2 + 5x + 2 = 0$?
Which of the following conditions satisfies $k < -2$?
Which of the following conditions satisfies $k < -2$?
What is the value of $8 + |−8|$?
What is the value of $8 + |−8|$?
What can be said about the intercepts of the line represented by $3x + 9y = 18$?
What can be said about the intercepts of the line represented by $3x + 9y = 18$?
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Which expression is equivalent to $5+n$?
Which expression is equivalent to $5+n$?
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What is the result of the operation $4 - 2$?
What is the result of the operation $4 - 2$?
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Which of the following expressions represents a polynomial?
Which of the following expressions represents a polynomial?
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What would be the next term in the sequence 5, 10, 20, 40, 80,...?
What would be the next term in the sequence 5, 10, 20, 40, 80,...?
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What is the solution to the equation $2√x + 3 = 5$?
What is the solution to the equation $2√x + 3 = 5$?
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What is the value of $x$ if the equation $√x^2 = x$ is true?
What is the value of $x$ if the equation $√x^2 = x$ is true?
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Which of the following is a factorization of the quadratic expression $x^2 - 5x + 6$?
Which of the following is a factorization of the quadratic expression $x^2 - 5x + 6$?
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What is the common factor in $6y^3z - 12y^6z - 20y^9z^2$?
What is the common factor in $6y^3z - 12y^6z - 20y^9z^2$?
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If $x > 2$, which of the following statements is true?
If $x > 2$, which of the following statements is true?
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Study Notes
Algebra 1 Final Exam Review
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Simplifying Expressions:
- Example: 15/57 simplifies to 5/19
- Example: 4 - 2 simplifies to 2
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Operations with Decimals:
- Example: -31.25 + (-7.621) = -38.871
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Percent Increase/ Markups:
- Example: A store marks up jeans 200%. If the selling price is $36, the original price is $12.
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Solving Equations:
- Example: To solve x > 2 or x < 3: note that this is represented by any real number and thus the solution is all Real Numbers (R)
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Solving Compound Inequalities:
- Example: Solving 2n < 12 and -2n > -60 gives -30 < n< 6
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Simplifying Algebraic Expressions:
- Example: (2x+5)(3x+2) simplifies to 6x² + 19x+10
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Factoring Polynomials:
- Example: x² - 5x - 14 factors to (x - 7)(x + 2)
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Solving Quadratic Equations:
- Example: To solve 2x+ 3=5, x= 1
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Simplifying Radicals:
- Example: √50 √18 = 30
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Graphing Linear Equations:
- Example: A line with equation y = -4x +1 or graphs are given to match equations
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Finding Slope and y-intercept:
- Example: For 3x + 9y = 18, slope = -1/3, and y-intercept is (0,2)
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Identifying Direct Variation:
- Example: a direct linear variation graph must cross through (0,0)
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Scientific Notation:
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Example: 0.000081217 = 8.1217 x 10⁻⁵
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Identifying solutions of a quadratic equations
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Example: identify the nature of the solutions to a quadratic equation, such as rational or irrational roots.
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Evaluating expressions
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Description
Prepare for your Algebra 1 final exam with this comprehensive review quiz. This quiz covers key topics such as simplifying expressions, operations with decimals, percent increase, solving equations, and graphing. Test your knowledge on these essential concepts and ensure you're ready for the exam.
