Algebra 1 Midterm Exam Study Guide
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What textbook chapters will be covered on the exam?
Chapter 1, Sections 1.1 – 1.4 & 1.6
Chapter 2, Sections 2.1 – 2.6
Chapter 3, Sections 3.1 – 3.8
Chapter 4, Section 4.1
Chapter 6, Sections 6.1 – 6.5
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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, percent, percent of change, amount of change
Chapter 4: coordinate plane, quadrants, origin, x-axis, y-axis, origin, coordinate
points
Chapter 6: simple inequality, solution set, compound inequality, conjunction,
disjunction, absolute deviation, infinite solutions, no solution,
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What concepts should I know for this exam?
Chapters 1 & 2: Evaluating Expressions
 Evaluating numerical and variable expressions (PEMDAS)
 Know your rules of integer operations (i.e. adding, subtracting, multiplying,
dividing with negatives)
 Finding unit rates
 Finding an average
 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
 Know Perimeter and basic Area Formulas (square, rectangle, triangle)
Chapter 3: Solving Linear Equations + Word Problems
 Solving linear equations of all types
 Know how to use cross products
 Know how to clear decimals and denominators using LCM
Continued on Back→
 Word Problems
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Proportions
Final−Original
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Percent of change – Formula: % Change =
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Finding amount of change (Ex: new price after sale, tax, tip, mark-up)
Original
Chapter 6: Solving Linear Equations + Word Problems
 Solving multi-step linear inequalities and graphing solution sets
Notes:
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> or < → open circle (value not included in solution set)
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≥ or ≤ → solid circle (value is included in solution set)
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Flip the symbol when multiplying or dividing both sides by a negative
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Solving and graphing compound inequalities (AND, OR)
Writing an inequality given the graph of its solution set
Solving absolute value equations
Recognizing when an inequality has “no solution” or “infinite solutions”
Checking solutions to an inequality or absolute value equation
Modeling real-life situations with linear inequalities
Functions and the Coordinate Plane:
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Know the definition of a function (each input has only one corresponding output)
Writing a function rule given a table of values
Know how to find/describe the domain and range of a function
Rewriting equations in function form (i.e. isolating y on one side of the equation)
Making an Input-Output Table given a linear equation
Plotting and labeling coordinate points
Describing the location of a coordinate point (quadrant I-IV, origin, x-axis, y-axis)
How do I study for this exam?
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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