Algebra 1 End-of-Course Assessment Study Guide

Purpose and Intent: The sample test materials are designed to orient teachers and students to the types of questions on the Algebra 1 EOC Assessment. These materials help students using regular print paper-based accommodations become familiar with item types and response formats.
Response Formats: On computer-based forms, students use fill-in response boxes. On the paper-based form, students use a grid to record answers.
Standards Basis: The assessment and sample questions are based on the 2007 Next Generation Sunshine State Standards.
Performance Indicator Disclaimer: Sample questions are not intended to demonstrate the length of the actual test, and student performance on these samples should not be used as an indicator of performance on the actual test.
Resources and Links: * Test Item Specifications: http://fcat.fldoe.org/eoc/itemspecs.asp * Sample answers and questions: http://fcat.fldoe.org/eoc/ * Computer-based practice tests (ePATs): www.FLAssessments.com/ePAT
Materials for Use: Use of the Reference Sheet (pages 4 and 5) and formulas/conversions is permitted during the exam.

Preparation: Read the problem carefully to determine if a calculator is necessary.
Clearing the Device: Always press the On/Clear key before starting a new problem.
Error Indicators: If an "E" appears in the display, clear the error before proceeding.
Memory Indicators: If an "M" appears, clear the memory and the calculator before beginning.
Verification: If the displayed number does not match any answer choice, check your work.
Order of Operations: Note that four-function calculators will NOT automatically perform the algebraic order of operations.
Keystroke Speed: Moving too quickly can result in incorrect answers; use deliberate keystrokes and verify the reasonableness of the result.
Negative Signs: The negative sign may appear to the left or right of the number.
Rounding: Wait until the final step to round decimal equivalents or approximations. Check if the item specifies a decimal place, fraction, or $\pi$ approximation.
Estimation Caution: Front-end estimation and truncation are generally not accurate processes for estimation.

General Steps: Solve the problem, write the answer in the boxes at the top of the grid, and then fill in the corresponding bubbles.
Writing in Boxes: * Start the answer with the first digit in the left box OR the last digit in the right box. * Only one digit or symbol per box. * Do NOT leave blank boxes in the middle of an answer. * Include decimal points, fraction bars, and negative signs as required.
Bubbling Rules: * Fill in exactly one bubble per answer box used; do not bubble under unused boxes. * Marks must be solid and fill the circle completely. * Accurate bubbling is required for credit.
Formatting Mixed Numbers: Mixed numbers must NOT be placed in the answer boxes. They must be converted to improper fractions or decimals. * Example: $13 \frac{1}{4}$ must be entered as $\frac{53}{4}$ or $13.25$ . * Entering "131/4" would be scored as $\frac{131}{4}$ and marked incorrect.

Polygons: * Sum of the measures of the interior angles of a polygon: $(n-2)180$ * Measure of an interior angle of a regular polygon: $\frac{(n-2)180}{n}$ * Where $n$ represents the number of sides.
Rectangular Prism: * Volume: $V = lwh$ or $V = Bh$ * Surface Area: $S.A. = 2lw + 2lh + 2wh$ or $S.A. = Ph + 2B$
Cylinder: * Volume: $V = \pi r^2 h$ or $V = Bh$ * Surface Area: $S.A. = 2\pi rh + 2\pi r^2$ or $S.A. = 2\pi rh + 2B$
Pyramid: * Volume: $V = \frac{1}{3}Bh$
Cone: * Volume: $V = \frac{1}{3}\pi r^2 h$ or $V = \frac{1}{3}Bh$ * Surface Area: $S.A. = \pi r l + \pi r^2$ or $S.A. = \pi r l + B$ , where $l$ is slant height.
Variable Key: * $a = \text{apothem}$ * $A = \text{area}$ * $B = \text{area of base}$ * $C = \text{circumference}$ * $d = \text{diameter}$ * $h = \text{height}$ * $P = \text{perimeter}$ * $r = \text{radius}$ * $S.A. = \text{surface area}$ * $V = \text{volume}$ * $w = \text{width}$

Slope Formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$
Distance Formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$
Midpoint Formula: $(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$
Linear Equations: * Slope-intercept form: $y = mx + b$ * Point-slope form: $y - y_1 = m(x - x_1)$
Quadratic Formula: $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$
Trigonometric Ratios: * $\sin(A^{\circ}) = \frac{\text{opposite}}{\text{hypotenuse}}$ * $\cos(A^{\circ}) = \frac{\text{adjacent}}{\text{hypotenuse}}$ * $\tan(A^{\circ}) = \frac{\text{opposite}}{\text{adjacent}}$

Question 1 (Rate, Time, Distance): David and Terri drove a boat downstream with a current. The rate in still water is $r\,mph$ and the current speed is $c\,mph$ . They traveled $4\,miles$ in $1.5\,hours$ . Which equation represents this? * A. $1.5 = (r + c)4$ * B. $1.5 = (r - c)4$ * C. $4 = (r + c)1.5$ * D. $4 = (r - c)1.5$
Question 2 (Set Theory): Given sets $A = \{-3, -2, -1, 0, 1, 2, 3\}$ , $B = \{0, 1, 2, 3, 4, 5\}$ , and $C = \{1, 3, 5, 7, 9\}$ . Which set is equivalent to $(A \cup B) \cap C$ ? * A. $\{1, 3\}$ * B. $\{1, 3, 5\}$ * C. $\{0, 1, 2, 3, 5, 7, 9\}$ * D. $\{-3, -2, -1, 0, 1, 2, 3, 4, 5, 7, 9\}$
Question 3 (Linear Functions): Water pressure in PSI increases with depth ( $d$ ). * Data: $(10, 4.3), (20, 8.6), (30, 12.9), (40, 17.2), (50, 21.5)$ . * The equation representing pressure $p$ as a function of depth $d$ is $p = 0.43d$ .
Question 4 (Simplifying Expressions): Simplify the expression $\frac{x y^8 + x^9 y^{12}}{x^3 y^4}$ where $x \neq 0$ and $y \neq 0$ . * (Note: OCR suggests specific terms like $8x^9 y^{12} + 81x^8 y^{12}$ or similar, but the objective is standard algebraic simplification of exponents).
Question 5 (Slope): Find the slope of the line defined by $8x + 2y = 5$ .
Question 6 (Line of Best Fit): Jodi is measuring plant growth. A line of best fit passes through points $(1, 1)$ and $(5, 7)$ . The slope of this line determines the mean growth rate.