Name:_____________________________ Date:____________ Accelerated Algebra 1 Midterm Exam Study Guide What textbook chapters will be covered on the exam? Chapter 1, Sections 1.1 – 1.7 Chapter 2, Sections 2.1 – 2.6 Chapter 3, Sections 3.1 – 3.7 Chapter 4, Sections 4.1 – 4.5 Chapter 6, Sections 6.1 – 6.6 What vocabulary should I know for this exam? Chapter 1: variable, variable/algebraic expression, evaluate, algebraic equation, inequality, solution, function, input, output, domain, range, independent variable, dependent variable Chapter 2: terms (of an expression), like terms, integers, absolute value, coefficient, constant, distributive property Chapter 3: equivalent, linear equation (in one variable), solution step, identity, formula, proportion, cross products Chapter 4: coordinate plane, quadrants, origin, x-axis, y-axis, coordinate points/ ordered pairs, linear function/equation (slope-intercept form, standard form, point-slope form), slope, rate of change, x-intercept, y-intercept Chapter 6: simple inequality, solution set, compound inequality, conjunction, disjunction, absolute deviation, infinite solutions, no solution, What concepts should I know for this exam? Evaluating numerical and variable expressions (PEMDAS) Know your Special Powers (Perfect Squares, Base 10 Powers, Base −1 Powers) **Note: (−1)𝐸𝑉𝐸𝑁 = 1 𝑣𝑠. (−1)𝑂𝐷𝐷 = −1 Simplifying expressions using Order of Operations, Distributive Property and Combining Like Terms (Know how to “distribute a negative!”) **Example: 5 − 2(𝑥 + 3) = 5 − 2𝑥 − 6 = −2𝑥 − 1 Simplifying expressions with absolute value Checking whether a given value is a solution to an equation or inequality 3-Step Problem-Solving (Define variable(s), Write equation, Solve equation) Simple Interest Formula (𝐼 = 𝑃 ∙ 𝑟 ∙ 𝑡) Know Perimeter and basic Area Formulas (square, rectangle, triangle) Solving linear equations of all types (Know how to use cross products and to clear decimals and denominators!) Continued on Back→ Word Problems o Money Problems o Age Problems o Consecutive Integer Problems o Perimeter/Area Problems o Comparative number problems Solving multi-step linear inequalities and graphing solution sets Notes: o > or < → open circle (value not included in solution set) o ≥ or ≤ → solid circle (value is included in solution set) o Flip the symbol when multiplying or dividing by a negative Solving and graphing compound inequalities (conjunctions/disjunctions) Solving and graphing absolute value equations and inequalities *Remember: less thand (<, ≤) vs. greator than (>, ≥) No solution vs. Infinite Solutions Modeling real-life situations with linear inequalities or absolute deviation equations Rewriting equations in function form (i.e. isolate y on one side) Know the definition of a function (each input has only one corresponding output) Writing a function rule given a table of values Making an Input-Output Table given a function 𝑦1 −𝑦2 The slope formula 𝑚 = (Know how to solve for m or for a missing 𝑥1 −𝑥2 coordinate.) Graphing linear equations using: 1.) an input-output table 2.) 𝑥 and 𝑦 intercepts (𝑥, 0)& (0, 𝑦) * Remember: plug in 0 for 𝑦 to solve for 𝑥; plug in 0 for 𝑥 to solve for 𝑦 3.) slope and 𝑦 intercept (Note: you may have to convert the equation to slopeintercept form first!) Know the 2 basic forms of a linear equation: slope-intercept (𝑦 = 𝑚𝑥 + 𝑏) and standard (A𝑥 + B𝑦 = C) Parallel and Perpendicular lines (same slope vs. opposite reciprocal slopes) How do I study for this exam? Go over example problems and vocabulary from notes Go over and redo problems on old tests and quizzes Redo problems on old worksheets Do the odd problems in the textbook (Answers in the back!) Do the even problems in the textbook (See me for solutions) Chapter review problems Review Sheets ***Please do not wait until the last minute to come see me with questions. Start your preparations as early as possible!!