Algebra STAAR Test Review Flashcards

Questions and Answers

What is the definition of Domain?

Set of all OUTPUT or Y-INTERCEPTS values

Rate of change

Set of all INPUT or X-INTERCEPTS values (correct)

Parent function for linear functions

What is the definition of Range?

Parent function for linear functions

Rate of change

Set of all INPUT or X-INTERCEPTS values

Set of all OUTPUT or Y-INTERCEPTS values (correct)

The equation Y=X² represents the parent function for linear functions.

False

Changing the SLOPE of a line affects the ______.

steepness Signup and view all the answers

Changing the Y-INTERCEPT of a line causes a ______ shift.

vertical Signup and view all the answers

If a line decreases from left to right, then the slope is?

negative Signup and view all the answers

If a line increases from left to right, then the slope is?

positive Signup and view all the answers

What is another term for 'rate of change'?

slope Signup and view all the answers

If something was labeled meters per second, what does it represent?

slope Signup and view all the answers

Lines with the same slope are called parallel.

True Signup and view all the answers

Scatterplots that have data going 'downhill' direction have positive correlation.

False Signup and view all the answers

Scatterplots that have data all over the place have no correlation.

True Signup and view all the answers

Zeros, roots, and solutions all mean what?

X-intercepts Signup and view all the answers

When solving quadratic equations, we set the equations to _____ before solving.

0 Signup and view all the answers

What is the highest/lowest point on a parabola called?

vertex Signup and view all the answers

What shape is the graph of a linear function?

line Signup and view all the answers

What shape is the graph of a quadratic function?

U-shaped (parabola) Signup and view all the answers

When the boundary line is dashed and graphed, are points on the boundary line considered a solution?

False Signup and view all the answers

When a system of equations is graphed, the solution is where the lines do what?

intersect Signup and view all the answers

Study Notes

Algebra Concepts

Domain: The set of all possible input values (X-values) for a function.
Range: The set of all possible output values (Y-values) for a function.

Functions

Y=X²: The parent function for quadratic functions, demonstrating parabolic behavior.
Steepness: A line's slope determines its steepness; changing the slope affects how steep the line appears.
Vertical Shift: Modifying the Y-intercept of a line results in a vertical shift up or down.

Slope Characteristics

Negative Slope: A line that decreases from left to right indicates a negative slope.
Positive Slope: A line that increases from left to right indicates a positive slope.
Slope Definition: Frequently described as the "rate of change," representing the rise over run in a graph.

Correlation Types

Positive Correlation: Scatterplots that trend upwards, indicating that as one variable increases, so does the other.
Negative Correlation: Scatterplots that trend downwards, indicating that as one variable increases, the other decreases.
No Correlation: Scatterplots with no discernible pattern show data points scattered randomly.

Equation Solutions

X-Intercepts: Also referred to as zeros, roots, or solutions, these are the points where a function crosses the X-axis.
Quadratic Equations: To solve quadratic equations, set the equation equal to zero (0) before proceeding.
Vertex: The highest or lowest point on a parabola, crucial for understanding the function's maximum or minimum behavior.

Graphing Characteristics

Line: The graphical representation of a linear function results in a straight line.
U-Shaped (Parabola): Quadratic functions are represented graphically as a U-shaped curve.
Boundary Line: In inequality graphs, if the boundary line is dashed, then points on the boundary are not included in the solution set.

Systems of Equations

Intersection: The solution to a system of equations is found at the point where the lines intersect on a graph.

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Description

Prepare for the Algebra STAAR test with these comprehensive flashcards. Each card presents important concepts such as domain, range, and the characteristics of lines, helping you reinforce your understanding of key algebraic principles. Perfect for quick review and memorization before the test.