Algebra Exit Exam Flashcards

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?

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

What is a radical?

A number with a square root symbol. Signup and view all the answers

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

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

What is a rational number?

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

What is a constant?

A number without a variable. Signup and view all the answers

What is a coefficient?

The number next to the variable. Signup and view all the answers

What is an x-intercept?

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

What is a y-intercept?

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

What are different types of transformations?

Translation, reflection, rotation, dilation. Signup and view all the answers

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

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

With an inequality, what does a closed circle mean?

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

What does 'consecutive integers' mean?

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

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

Exponential. Signup and view all the answers

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

If the growth factor is less than one. 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...

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

What type of pattern is in an exponential table?

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

What does it mean to 'define your variables'?

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

With an inequality, what does an open circle mean?

Do not include the number. 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!