Download Algebra 1 Midterm Exam Study Guide

Name:_____________________________
Date:____________
Algebra 1 Midterm Exam Study Guide
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What textbook chapters will be covered on the exam?
Chapter 1 (Expressions, Equations and Functions), Sections 1.1– 1.7
Chapter 2 (Properties of Real Numbers), Sections 2.1– 2.6
Chapter 3 (Solving Linear Equations), Sections 3.1– 3.7
Chapter 4 (Graphing Linear Equations and Functions), Sections 4.1– 4.4
Chapter 6 (Solving and Graphing Linear Inequalities), Sections 6.1– 6.6
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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
Chapter 4: coordinate plane, quadrants, origin, x-axis, y-axis, coordinate points/
ordered pairs, linear function, input, output, domain, range, x-intercept, y-intercept
Chapter 6: simple inequality, solution set, compound inequality, conjunction,
disjunction, infinite solutions, no solution
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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)
= 1 . (−1)
= −1
**Note: (−1)
 Simplifying expressions using order of operations, distributive property and
combining like terms (Know how to “distribute a negative!”)
**Example: 5 − 2( + 3)= 5 − 2 − 6 = −2 − 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)
 Solving linear equations of all types (Know how to use cross products and how to
clear decimals and denominators!)
 Identity equations ( = all real numbers)
 Equations with No Solution
Continued on Back→
 3-Step Problem-Solving (Define variable(s), Write equation, Solve equation)
 Word Problems
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Money Problems
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Consecutive Integer Problems
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Perimeter/Area Problems
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Comparative number problems
**Example: Four times a number is equal to the sum of the number and six
 Solving multi-step linear inequalities
o
Flip the symbol when multiplying or dividing by a negative
 Graphing solution sets on number lines
Notes:
o
> or <→ open circle (value not included in solution set)
o
≥ or ≤ → solid circle (value is included in solution set)
 Solving and graphing compound inequalities (conjunctions/disjunctions)
 Solving absolute value equations
 Solving and graphing absolute value inequalities
*Remember: less thand (<, ≤)vs. greator than (>, ≥)
 No solution vs. infinite solutions
 Modeling real-life situations with linear inequalities
 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
 Graphing linear equations using:
1.) an input-output table
2.) and intercepts ( , 0)&(0, )
* Remember: plug in 0 for to solve for ; plug in 0 for to solve for
 Using the slope formula to find the slope of a line given two coordinate points
**Note:
=
=
=
 Finding a coordinate given the slope of a line (See Example on p.240 in textbook)
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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