Download Midterm Study Guide: List of Topics

Algebra 1
Mrs. Doherty’s Algebra 1 Midterm 2012
PERIOD 3
Thursday, January 26
8:00 am to 10:00 am
Room 117
PERIOD 4
Tuesday, January 24
10:15 am to 12:15 pm
Room 117
BRING:
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At least 2 sharpened pencils with erasers
Calculator (Scientific or Graphing) – There are no calculators available for loan!!!
Tissues and cough drops if you have the sniffles
Water or other appropriate beverage
A book to read or other study materials should you finish early
Confidence!
LEAVE HOME OR TURNED OFF & OUT OF SIGHT:
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Laptops
Cell Phones
MP3 Players or other entertainment devices
FORMAT:
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Multiple choice
Open Response
Word Problems
Open-Ended Questions
HOW TO PREPARE:
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Complete ALL review materials as assigned. Check/correct work.
Study old tests and quizzes
Focus energies on weak concepts rather than strong ones
Participate in class review and attend extra help sessions
Form a study group with your friends
Get plenty of rest the night before & eat breakfast
PRACTICE LEADS TO PROGRESS!
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Algebra 1
Midterm Study Guide: List of Topics
Chapter 1: The Language of Algebra
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Translate verbal expressions into algebraic expressions and vice versa.
Exponents
Apply the order of operations to evaluate expressions
Evaluate open sentence equalities and inequalities
Evaluate expressions and be able to name the property used in each step.
Given an example, identify the property
Rewrite or simplify expressions using the distributive property
Simplify expressions using the commutative and associative properties (group like terms)
Types of graphs, analyzing graphs, misleading graphs
Chapter 2: Real Numbers
 Graph a set of numbers on the number line.
 Identify coordinates of points graphed on the number line
 Evaluating expressions with absolute value
 Apply the rules for adding and subtracting (using additive inverse) rational numbers to find the
sum or difference
 Find the product or quotient of rational numbers. Determining the correct sign of the product.
 Simplifying expressions using multiplication and division skills
 Estimating or finding square roots
 Classifying, graphing, comparing real numbers
Chapter 3: Solving Linear Equations
 Translate sentences into equations and solve
 Solve equations using addition, subtraction, multiplication and division or combinations of
operations.
 Remove parenthesis and simplify before solving an equation.
 Solve equations with fractions.
 Use equations to solve word problems: number word problems, geometry (know perimeter and
area), consecutive integers, distance-rate-time
 Convert units (e.g., feet per second to miles per hour) using dimensional analysis
 Determine whether two ratios form a proportion
 Solve a proportion using cross-multiplication
 Use ratios and proportions to solve a word problem
 Determine whether a percent of change is an increase or decrease
 Find the percent of change given the original and new numbers
 Find the total price of items by applying sales tax or a discount or both
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Algebra 1
 For an equation with more than one variable solve an equation for one variable in terms of the
others
 Use this technique to solve problems with formulas
 Solve mixture or uniform motion problems (be able to fill in a table, write the equation and
solve)
 Determine whether a sequence is arithmetic and find nth terms.
Chapter 4: Graphing Relations and Functions
Plot or identify points on the coordinate plane.
Express a relation as a set of ordered pairs, table, mapping, or graph
Determine the domain, range, and inverse of a relation
Find and graph the solution set of an equation given a replacement set or the domain or range
Identify whether an equation is linear, and, if so, write in standard form.
Graph linear equations using a table or by finding the x- and y-intercepts
Identify whether a relation expressed as a set of ordered pairs, table, mapping, or graph is a
function
 Use the vertical line test to determine whether a graph is a function.
 Evaluate equations written using function notation.
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Chapter 5: Analyzing Linear Equations
 Find the slope of a line that passes through two given points
 Apply slope to rate of change problems.
 Given that y varies directly with x, write a direct variation equation that relates x and y and
solve for a specified coordinate.
 Write an equation of a line in slope-intercept form given the slope and the y-intercept
 Graph an equation using the slope-intercept form
 Write an equation of a line that passes through a point given a slope
 Write an equation of a line that passes through two given points
 Write equations of lines in slope-intercept, point-slope, and standard form. Be able to rewrite
an equation from one form to another.
 Identify whether two lines are parallel, perpendicular, or neither by analyzing the slopes
 Write the equation of a line that is parallel or perpendicular to a given line through a given
point.
 Write and solve equations to model situations.
 Graph these equations and analyze slope and y-intercept.
 Use these equations to find other values (interpolate or extrapolate)
 Create a scatter plot graph, draw a line of best fit, write an equation for the line of fit, and use
the equation to predict other values.
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Algebra 1
Chapter 6: Inequalities (sections 6-1 to 6-4)
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Solve single- and multi-step inequalities using addition, subtraction, multiplication, or division.
Graph the solution and express the solution using set notation.
Solve compound inequalities
Graph the solution.
Write simple and compound inequalities from a graph.
Chapter 11: Radical Expressions (section 11-1 only)
 Simplify square roots by factoring out perfect square factors.
 Know perfect squares up to 225, and 400 (202) and 625 (252).
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