Algebra Exit Exam Flashcards
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Questions and Answers

What is the formula for the axis of symmetry of a parabola?

x = -b/2a

What are other names for X-intercepts of a parabola?

  • Solutions
  • Roots
  • Zeroes
  • All of the above (correct)

    • What is the difference between an expression and an equation?

    An equation has an =.

    What is the quadratic formula?

    <p>x = (-b ± √(b² - 4ac)) / 2a</p> Signup and view all the answers

    What is a radical?

    <p>A number with a square root symbol.</p> Signup and view all the answers

    How do you know if a parabola will have a maximum or minimum vertex?

    <p>If A is positive, it opens up (minimum); if A is negative, it opens down (maximum).</p> Signup and view all the answers

    What is a rational number?

    <p>Any number that can be expressed as a ratio.</p> Signup and view all the answers

    What is a constant?

    <p>A number without a variable.</p> Signup and view all the answers

    What is a coefficient?

    <p>The number next to the variable.</p> Signup and view all the answers

    What is an x-intercept?

    <p>Where the graph touches the x-axis when y equals 0.</p> Signup and view all the answers

    What is a y-intercept?

    <p>Where the graph touches the y-axis when x equals 0.</p> Signup and view all the answers

    What are different types of transformations?

    <p>Translation, reflection, rotation, dilation.</p> Signup and view all the answers

    What is the exponent rule if you have: (8^3)(8^10)?

    <p>Keep the base, add the exponents: 8^(3+10) = 8^13.</p> Signup and view all the answers

    With an inequality, what does a closed circle mean?

    <p>Include the number; it is equal to (e.g., x ≥ 8).</p> Signup and view all the answers

    What does 'consecutive integers' mean?

    <p>Whole numbers in a row (e.g., 9, 10).</p> Signup and view all the answers

    If something is increasing or decreasing by a percent, what kind of relationship is it?

    <p>Exponential.</p> Signup and view all the answers

    If you have exponential decay (decreasing), how do you know from an equation?

    <p>If the growth factor is less than one.</p> Signup and view all the answers

    What is any number or variable raised to the power of zero?

    <ol> <li></li> </ol> Signup and view all the answers

    How do you find the vertex of a parabola?

    <ol> <li>Find the axis of symmetry. 2) Substitute the axis of symmetry for x, then find y.</li> </ol> Signup and view all the answers

    Solving an inequality is just like solving an equation, except you need to remember...

    <p>If you multiply or divide both sides by a negative number, you must flip the sign.</p> Signup and view all the answers

    What type of pattern is in an exponential table?

    <p>x changes at a constant rate, y has a multiplication pattern.</p> Signup and view all the answers

    What does it mean to 'define your variables'?

    <p>Write the variables you are using and tell what they represent.</p> Signup and view all the answers

    With an inequality, what does an open circle mean?

    <p>Do not include the number.</p> Signup and view all the answers

    Study Notes

    Axis of Symmetry

    • Formula: x = -b/2a

    X-Intercepts

    • Also known as solutions, roots, or zeroes of a parabola

    Expressions vs. Equations

    • An equation contains an equality sign (=)

    Quadratic Formula

    • x = (-b ± √(b² - 4ac)) / 2a

    Radical Definition

    • Represented by a square root symbol, indicating a number's root

    Parabola Vertex

    • Minimum vertex occurs if coefficient A is positive; maximum if A is negative

    Rational Numbers

    • Numbers expressible as a ratio, e.g., 2, 1/3, 0.316

    Constants

    • Numbers that do not contain variables

    Coefficients

    • Numbers that precede variables in an expression

    X-Intercept

    • Point where the graph intersects the x-axis, occurring when y = 0

    Y-Intercept

    • Point where the graph intersects the y-axis, occurring when x = 0

    Types of Transformations

    • Include translation (shift), reflection (flip), rotation (turn), and dilation (expand/shrink)

    Exponent Rule

    • For multiplication: (8³)(8¹⁰) results in a base of 8 with exponents added (3 + 10 = 13), yielding 8¹³

    Inequality Representation

    • Closed circles indicate inclusion of the number (≥ or ≤)

    Consecutive Integers

    • A sequence of whole numbers in order, e.g., 9, 10

    Percent Change

    • Indicates an exponential relationship when values increase or decrease by a percentage

    Exponential Decay

    • Shown by a growth factor of less than one in an equation

    Power of Zero

    • Any number or variable raised to the power of zero equals 1

    Finding the Vertex of a Parabola

    • Identify the axis of symmetry and substitute it into the equation to find the corresponding y-value

    Solving Inequalities

    • Similar to solving equations, but remember to flip the inequality sign when multiplying/dividing by a negative

    Exponential Table Patterns

    • x values change at a constant rate; y values exhibit a multiplicative pattern

    Define Variables

    • Clearly state each variable used and its representation, e.g., t represents time

    Open Circle in Inequalities

    • Indicates that the number is not included in the solution set (< or >)

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    Description

    Prepare for your Algebra exit exam with these flashcards. They cover essential concepts like the axis of symmetry, X-intercepts, and the quadratic formula. Perfect for quick reviews and last-minute studying!

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