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Algebra I: Midterm Study Guide Chapters 1-5.4 (Subject to change) CHAPTER 1 Vocab: Variable, Expression, Evaluate, Power, Order of Operations, (Unit) Rate, Verbal Model, Equation, Inequality, Solution, Precision, Significant Figures, Function, Domain, Range, Independent Variable, Dependent Variable Evaluate expressions o Powers (remember how to square/cube fractions) o Order of operations Write equations/inequalities from verbal phrases Find unit rates Use formulas for temperature, simple interest, distance, and profit Significant Figures o Determine number of sig figs o Determine number of sig figs in a product/quotient and sum/difference Functions o Write a function rule o Identify domain, range, indep vs dep variables o Graph o Explain why or why not a relation is/isn’t a function CHAPTER 2 Vocab: Square Root, Radical, Rational Number, Irrational Number, Real Number, inverse operations, equivalent equations, reciprocal, like terms, distributive property, ratio, proportion, simplest form, cross-product, scale drawing/model, scale, literal equation, formula Identify type of number: real, rational, irrational, integer, whole Solve equations o Use properties of equality o Use the distributive property o # of solutions: one, infinitely many, or none 2+𝑥 5𝑥 Solve proportions (Using distributive property; ex: Use a scale to find measurements of actual or model objects o Keep your units consistent! Rewrite equations and formulas (manipulation) 3 = 8 ) CHAPTER 3 Vocab: coordinate plane, quadrants, ordered pair, standard form, linear function, graph of a linear function, constant function, x- and y-intercepts, slope, rate of change, slope, intercept form, point-slope form, parallel lines, direct variation, constant of variation, function notation, family of functions, parent function, vertical stretch/shrink, Shift up/down, Identify/label o Quadrants o Points o Domain/Range Graph Functions o Line vs. no line vs. part of a line (a ray) o Restricted domains and ranges o Tricks with different forms (points, slope, intercepts?) Find the intercepts o X-intercept is when y=0 o Y-intercept is when x=0 Model Direct Variation o 𝑦 = 𝑎𝑥 , a is the constant of variation o Goes through the origin Compare graphs using stretch/shrink and shifts up or down CHAPTER 4 Vocab: Perpendicular lines, correlation, line of fit, linear regression, Write/rewrite equations in different forms o Don’t be careless! Find a missing coordinate (questions 6 and 7 from chapter 4 test) CHAPTER 5 Solve and graph inequalities FOR PRACTICE: Review and redo questions from tests Practice skills and story problems from section homework pages—check answers in back of book Ask questions on anything you are unsure about When doing practice problems—time yourself to make sure you are working in a timely manner