Download Algebra I: Midterm Study Guide Chapters 1

Algebra I: Midterm Study Guide
Chapters 1-5.4 (Subject to change)
CHAPTER 1
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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
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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
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Solve proportions (Using distributive property; ex:
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Use a scale to find measurements of actual or model objects
o Keep your units consistent!
Rewrite equations and formulas (manipulation)
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3
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8
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CHAPTER 3
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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
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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
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Solve and graph inequalities
FOR PRACTICE:
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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