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STAAR (State of Texas Assessments of Academic Readiness) Algebra I (STAAR EOC) Syllabus
The Algebra I (STAAR EOC) syllabus for STAAR (State of Texas Assessments of Academic Readiness) in full: 5 chapters, 20 topics and 52 sub-topics, every one listed below, plus 50 Algebra I (STAAR EOC) flashcards with answers.
Algebra I (STAAR EOC) syllabus: all 5 chapters
Expand any chapter to see its topics and sub-topics.
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Foundations of Functions and Linear Relationships
4 topics- Functions, Domain, and Range
- Identifying functions from tables, graphs, and mappings
- Determining domain and range in context
- Function notation and evaluating f(x)
- Continuous vs. discrete domains
- Rate of Change and Slope
- Slope as a rate of change from tables and graphs
- Calculating slope between two points
- Interpreting slope and intercepts in real-world situations
- Multiple Representations of Linear Functions
- Converting among verbal, tabular, graphical, and algebraic forms
- Slope-intercept, point-slope, and standard form
- Writing equations from two points or a point and slope
- Parent Functions and Transformations
- The linear parent function y = x
- Effects of changing m and b on the graph
- Functions, Domain, and Range
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Linear Equations, Inequalities, and Systems
4 topics- Solving Linear Equations and Inequalities
- Multi-step equations with variables on both sides
- Equations with no solution or infinitely many solutions
- Graphing and interpreting linear inequalities in one variable
- Graphing Linear Inequalities in Two Variables
- Boundary lines and shading regions
- Testing points to verify solutions
- Systems of Linear Equations
- Solving by graphing, substitution, and elimination
- Number of solutions and consistency
- Modeling real-world problems with systems
- Systems of Linear Inequalities
- Identifying feasible solution regions
- Applications and constraint problems
- Solving Linear Equations and Inequalities
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Quadratic Functions and Equations
4 topics- Quadratic Parent Function and Transformations
- The function y = x^2 and its graph
- Vertical and horizontal shifts, stretches, and reflections
- Vertex, axis of symmetry, and extrema
- Key Attributes of Parabolas
- x- and y-intercepts (roots and zeros)
- Maximum and minimum values in context
- Domain and range of quadratics
- Solving Quadratic Equations
- Factoring and the zero product property
- The quadratic formula
- Solving by taking square roots
- Modeling with Quadratics
- Projectile motion and area problems
- Interpreting solutions in real-world contexts
- Quadratic Parent Function and Transformations
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Exponential Functions and Polynomial Operations
4 topics- Exponential Growth and Decay
- The function y = ab^x and its attributes
- Growth vs. decay and the role of the base
- Asymptotes, domain, and range
- Compound interest and population modeling
- Laws of Exponents
- Product, quotient, and power rules
- Negative and zero exponents
- Polynomial Operations
- Adding and subtracting polynomials
- Multiplying binomials and polynomials
- Factoring Polynomials
- Greatest common factor
- Factoring trinomials and special products
- Exponential Growth and Decay
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Number and Algebraic Methods, Data, and Modeling
4 topics- Simplifying Expressions and Radicals
- Operations with square roots
- Rational exponents and equivalent forms
- Linear Regression and Data Analysis
- Scatterplots and correlation
- Line of best fit and interpretation
- Correlation coefficient and predictions
- Arithmetic Sequences
- Recursive and explicit formulas
- Relating sequences to linear functions
- Direct and Inverse Variation
- Constant of proportionality
- Modeling proportional relationships
- Simplifying Expressions and Radicals
STAAR (State of Texas Assessments of Academic Readiness) Algebra I (STAAR EOC) flashcards — 50 questions with answers
What is a function?
A relation in which every input (x-value) is paired with exactly one output (y-value).
What does the vertical line test determine?
Whether a graph represents a function: if any vertical line crosses the graph more than once, it is NOT a function.
Define the domain of a function.
The set of all possible input values (x-values) of the function.
Define the range of a function.
The set of all possible output values (y-values) of the function.
What is the difference between a continuous and a discrete domain?
A continuous domain includes all values in an interval (connected graph); a discrete domain consists of separate, distinct points.
What does function notation f(x) mean?
It names the function f and shows the output when x is the input; f(x) is read 'f of x' and equals y.
What is the formula for the slope (rate of change) between two points (x1, y1) and (x2, y2)?
m = (y2 - y1) / (x2 - x1), the change in y divided by the change in x.
What does slope represent in a real-world linear context?
The constant rate of change — how much the dependent variable changes per one-unit change in the independent variable.
What is the slope of a horizontal line and of a vertical line?
A horizontal line has slope 0; a vertical line has an undefined slope.
How do the slopes of parallel and perpendicular lines relate?
Parallel lines have equal slopes; perpendicular lines have slopes that are negative reciprocals (product = -1).
What is the slope-intercept form of a linear equation?
y = mx + b, where m is the slope and b is the y-intercept.
What is the point-slope form of a linear equation?
y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
What is the standard form of a linear equation?
Ax + By = C, where A, B, and C are integers and A is typically non-negative.
What are the four ways to represent a linear function?
A table, a graph, an equation, and a verbal description (words).
How do you find the x-intercept and y-intercept of a line from its equation?
For the x-intercept set y = 0 and solve for x; for the y-intercept set x = 0 and solve for y.
What is the parent function of a linear function?
f(x) = x, a straight line through the origin with slope 1.
In y = a·f(x - h) + k, what transformation does k produce?
A vertical translation: up k units if k > 0, down |k| units if k < 0.
In y = a·f(x - h) + k, what transformation does h produce?
A horizontal translation: right h units when subtracting h (x - h), left when adding h (x + h).
In the transformation y = a·f(x), what does a do when |a| > 1 versus 0 < |a| < 1?
|a| > 1 is a vertical stretch; 0 < |a| < 1 is a vertical compression. A negative a also reflects over the x-axis.
How do you solve a multi-step linear equation?
Distribute, combine like terms, use inverse operations to isolate the variable, and keep the equation balanced by doing the same to both sides.
Show the other 30 Algebra I (STAAR EOC) flashcards
What happens to an inequality symbol when you multiply or divide both sides by a negative number?
The inequality symbol reverses (flips) direction.
How do you graph the solution of a linear inequality in two variables?
Graph the boundary line (dashed for < or >, solid for ≤ or ≥), then shade the half-plane containing all solutions.
For y > mx + b versus y < mx + b, which region do you shade?
y > shades above the boundary line; y < shades below the boundary line.
What does the solution to a system of two linear equations represent graphically?
The point(s) of intersection of the two lines — the ordered pair(s) that satisfy both equations.
What are the three methods for solving a system of linear equations?
Graphing, substitution, and elimination (linear combination).
How many solutions does a system have if the lines are parallel, identical, or intersecting?
Parallel: no solution; identical (same line): infinitely many solutions; intersecting: exactly one solution.
How do you find the solution region of a system of linear inequalities?
Graph each inequality and shade; the solution is the overlapping (intersection) region of all shaded areas.
What is the quadratic parent function and the shape of its graph?
f(x) = x², whose graph is a U-shaped curve called a parabola with vertex at the origin (0,0).
In y = a(x - h)² + k, what do h, k, and a tell you about the parabola?
(h, k) is the vertex, x = h is the axis of symmetry, and a controls width and direction (opens up if a > 0, down if a < 0).
What is the vertex of a parabola and what is the axis of symmetry?
The vertex is the maximum or minimum point of the parabola; the axis of symmetry is the vertical line through the vertex that splits it into mirror halves.
For y = ax² + bx + c, what formula gives the x-coordinate of the vertex/axis of symmetry?
x = -b / (2a).
What are the zeros (roots) of a quadratic function?
The x-values where the parabola crosses the x-axis (where y = 0); also called x-intercepts or solutions.
What is the quadratic formula?
x = [-b ± √(b² - 4ac)] / (2a), used to solve ax² + bx + c = 0.
What does the discriminant b² - 4ac tell you about a quadratic's roots?
Positive = two real roots; zero = one real (double) root; negative = no real roots (two complex).
What are the main methods for solving quadratic equations?
Factoring, taking square roots, completing the square, and using the quadratic formula (or graphing).
In modeling projectile motion, what do the vertex and the positive zero of the height function represent?
The vertex gives the maximum height and time it occurs; the positive zero gives the time the object hits the ground (height = 0).
What is the general form of an exponential function?
y = a·b^x, where a is the initial value (y-intercept) and b is the constant base (growth/decay factor), b > 0, b ≠ 1.
How do you tell exponential growth from exponential decay from the base b?
Growth when b > 1; decay when 0 < b < 1.
What is the exponential growth/decay model in terms of rate r?
y = a(1 + r)^t for growth and y = a(1 - r)^t for decay, where a is the initial amount and r is the rate (as a decimal).
State the product of powers and quotient of powers laws of exponents.
Product: x^m · x^n = x^(m+n). Quotient: x^m / x^n = x^(m-n).
State the power of a power law and the zero exponent rule.
Power of a power: (x^m)^n = x^(mn). Zero exponent: x^0 = 1 (for x ≠ 0).
What does a negative exponent mean, e.g., x^(-n)?
x^(-n) = 1 / x^n; a negative exponent indicates the reciprocal of the positive-exponent expression.
How do you add or subtract polynomials?
Combine like terms — terms with the same variable raised to the same power.
How do you multiply two binomials?
Use distribution (FOIL): multiply First, Outer, Inner, Last terms, then combine like terms.
How do you factor out the greatest common factor (GCF) of a polynomial?
Find the largest factor common to all terms (coefficients and variables) and divide each term by it, writing it outside parentheses.
How do you factor a difference of two squares, a² - b²?
a² - b² = (a + b)(a - b).
How do you factor a trinomial of the form x² + bx + c?
Find two numbers that multiply to c and add to b; write as (x + p)(x + q) using those numbers.
How do you simplify a radical such as √48?
Factor out the largest perfect square: √48 = √(16·3) = 4√3.
In linear regression, what does the correlation coefficient r indicate?
The strength and direction of a linear relationship: r near +1 = strong positive, near -1 = strong negative, near 0 = weak/no linear correlation.
What is the explicit formula for an arithmetic sequence, and what is direct variation?
Arithmetic: a_n = a_1 + (n - 1)d, where d is the common difference. Direct variation: y = kx (passes through origin); inverse variation: y = k/x, where k is the constant of variation.
STAAR (State of Texas Assessments of Academic Readiness) Algebra I (STAAR EOC) FAQ
What is in the STAAR (State of Texas Assessments of Academic Readiness) Algebra I (STAAR EOC) syllabus?
STAAR (State of Texas Assessments of Academic Readiness) Algebra I (STAAR EOC) is split into 5 chapters: Foundations of Functions and Linear Relationships, Linear Equations, Inequalities, and Systems, Quadratic Functions and Equations, Exponential Functions and Polynomial Operations and Number and Algebraic Methods, Data, and Modeling. Together they contain 20 topics and 52 sub-topics.
How many chapters are in STAAR (State of Texas Assessments of Academic Readiness) Algebra I (STAAR EOC)?
5 chapters, containing 20 topics and 52 sub-topics. The largest chapter is Foundations of Functions and Linear Relationships, with 4 topics.
Are there flashcards for STAAR (State of Texas Assessments of Academic Readiness) Algebra I (STAAR EOC)?
Yes — a 50-card Algebra I (STAAR EOC) deck, printed in full in the flashcards section of this page and available in the Examius app with spaced repetition. The free plan covers one exam of your choice, including its flashcards; Examius Pro, a one-time purchase, unlocks every other exam and deck.