Exam Review

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Exam Review

• 1st Semester
• Algebra I

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Topics Covered

• Chapter 2 Equations and Functions
• Chapter 3 Graphing Linear Equations
• Chapter 4 Solving Equations and Inequalities
• Chapter 7 Systems of Linear Equations and
  Inequalities

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(No Transcript)
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Chapter 1 Using Algebra to Work with Data

• Working with Variables and Data
• Order of Operations
• Mean, Median, Mode and Graphs
• Operations with Integers
• Exploring Negative Numbers
• Exploring Variable Expressions
• Applying Variable Expressions
• Working with Data

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Chapter 2 Equations and Functions

• Solving Equations
• Solving Multi-step Equations
• Applying Functions
• Coordinate Graphs
• Representing Functions
• Using Graphs to Solve Problems

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Chapter 3 Graphing Linear Equations

• Applying Rates
• Find Slope
• Equations of Lines
• Writing an Equation of a Line
• Modeling Linear Data

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Chapter 4 Solving Equations and Inequalities

• Solving Problems using Tables and Graphs
• Solving Multi-step Equations
• Equations with Fractions or Decimals
• Writing Inequalities from Graphs
• Solving Inequalities

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Chapter 5 Connecting Algebra and Geometry

• Ratio and Proportion
• Scale Measurements
• Similarity
• Perimeter and Area
• Probability
• Geometric Probability

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Chapter 6 Working with Radicals

• The Pythagorean Theorem

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Chapter 7 Systems Linear Eqns and Ineqs

• Using Linear Equations in Standard Form
• Solving Systems of Equations
• Graphing
• Substitution
• Elimination (Multiplication)
• Linear Inequalities
• Systems of Linear Inequalities

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Chapter Seven

• Solving Systems of Linear Equations and Linear
  Inequalities

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Standard form

• Graph. State the slope, x- and y-intercepts.
• 2x 5y 20

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Standard form

• Graph. State the slope, x- and y-intercepts.
• 3x 2y 5

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Standard form

• Write the following in standard form.
• y 2x 5

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Standard form

• Write the following in standard form.

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Solving Systems of EquationsBy Graphing

• Solve the given system by graphing.
• x y -3x y 13

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Solving Systems of EquationsBy Graphing

• Solve the given system by graphing.
• 2x 5y 103x y 15

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Solving Systems of EquationsBy Substitution

• Solve the given system by substitution.
• -x 4y 103x y 9

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Solving Systems of EquationsBy Substitution

• Solve the given system by substitution.
• x 3y 43x 2y 6

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Solving Systems of EquationsBy Elimination

• Solve the given system by elimination.
• 2x 3y 43x 2y 8

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Solving Systems of EquationsBy Elimination

• Solve the given system by elimination.
• 5x 2y -93x 4y 5

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Linear Inequalities

• Graph 2x - 3y 6

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Linear Inequalities

• Identify the linear inequality shown.

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Systems of Linear Inequalities

• Graph2x 3y 6x 2y 5

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Systems of Linear Inequalities

• Identify the system of linear inequalities shown.

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Chapter Six

• Working with Radicals

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Pythagorean Theorem

• Find the missing leg length.

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Pythagorean Theorem

• Is a triangle with side lengths 4, 5, 6 a right
  triangle? Justify your answer.

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Chapter Five

• Connecting Algebra and Geometry

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Ratio and Proportion
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Ratio and Proportion

• 800 children a day ride on the roller coaster,
  but another 200 are turned away because they're
  not tall enough. What proportion of the total
  number of children are turned away?

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Ratio and Proportion

• At Washington High School, two out of every three
  students usually buys a yearbook. How many
  yearbooks should the school plan for if there are
  1460 students at the school?

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Ratio and Proportion

• Methane is a compound consisting of a 1 4
  ratio of carbon and hydrogen atoms. If a sample
  of methane contains 1565 atoms, how many carbon
  and hydrogen atoms are present?

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Scale Factor

• Nathan plans to include a map in his report on
  Africa. The map he has is 6 in. wide and 8 in.
  long. He wants to use a photocopier to enlarge
  the map so that it fills the width of the page.
• What scale factor should he use to make the map
  7.5 in. wide?
• How long will the enlarged map be?

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Similarity

• A tree 48 feet high casts a shadow 36 feet long.
  If a flag pole casts a shadow 12 feet long, the
  height of the flag pole is

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Perimeter and Area

• The perimeters of ?ABC is 2 ft. The perimeter of
  ?DEF is 15 in. These two figures are similar.
• Find the ratio of the corresponding side
  lengths.
• Find the ratio of the areas.

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Probability

• A six sided die was rolled 60 times. 1 came up
  10 times, 2 came up 9 times, 3 came up 15 times,
  4 came up 8 times, 5 came up 7 times. What is
  the theoretical and the experimental probability
  of getting an even roll?

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Geometric Probability

• Find the area of the shaded region.

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Geometric Probability

• Find the area of the shaded region.

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Chapter Four

• Solving Equations and Inequalities

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Solving Problems using Tables and Graphs

• At Homecoming, 2000 tickets were sold at the
  football game. Adult tickets sold for 7.50 and
  student tickets solve for 5.00. The total
  revenue was 11,625.00. How many student tickets
  were sold? How many adult tickets were sold?

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Solving Multi-step Equations

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Solving Multi-step Equations

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Equations with Fractions or Decimals
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Equations with Fractions or Decimals

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Writing Inequalities from Graphs

• y gt 0

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Writing Inequalities from Graphs

• x 3

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Solving Inequalities

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Solving Inequalities

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Chapter Three

• Graphing Linear Equations

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Applying Rates

• How many miles per hour is 44 ft/s?

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Applying Rates

• How many feet per second is 100 mph?

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Find Slope

• Find the slope of a line that passes through
  (-6, -1) and (-1, 4).

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Find Slope

• Find the slope of a line that passes through (1,
  -3) and (-2, 8).

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Equations of Lines

• Find an equation of the graphed line.

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Equations of Lines

• Find an equation of the graphed line.

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Writing an Equation of a Line

• Find the equation of a line that passes through
  (-6, 2) and has a slope of -2/3.

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Writing an Equation of a Line

• Find the equation of a line that passes through
  (-4, 1) and (-6, 2) .

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Chapter Two

• Equations and Functions

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Solving Equations
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Solving Equations

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Solving Multi-step Equations
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Solving Multi-step Equations
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Applying Functions

• The cost of making T-shirts is 5 per shirt plus
  150 for printing supplies. What is the cost of
  making 100 T-shirts?

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Applying Functions

• You have moved to a new city and plan to join the
  Racquet Club. The membership fee is 250 and you
  must pay 7 every time you use a court. If your
  bill from the Racquet Club was 630, how many
  times did you play racquetball?

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Coordinate Graphs

• In the figure, is a rectangle with center at the
  origin. If the coordinates of A are (3, 4), the
  coordinates of C are

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Representing Functions

• If the x-coordinate of a function is three times
  that of the y-coordinate, the function would be
  represented by

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Using Graphs to Solve Problems

• It took Myron 90 minutes, at an average rate of
  50 miles per hour, to drive home from a business
  trip. Which of these graphs best represents
  Myrons drive home?

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Chapter One

• Using Algebra to Work with Data

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Working with Variables and Data

• Write an algebraic expression to represent the
  following expression the difference in six
  times a number and nine

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Working with Variables and Data

• Write an algebraic expression to represent the
  following expression the sum of twice a
  number and three

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Order of Operations
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Order of Operations
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Mean, Median, Mode, Graphs

• Find the mean, median, and mode26, 26, 27, 27,
  42, 42, 44, 44, 44, 60

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Mean, Median, Mode, Graphs

• What is the meanpoints scored by the starting
  players?

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Operations with Integers
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Exploring Negative Numbers

• Simplify the following expression if a -2 and
  b -3.

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Operations with Variable Expressions
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Operations with Variable Expressions
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Applying Variable Expressions

• The cost of making T-shirts is 3.50 per shirt
  plus 150 for printing supplies. What is the
  cost of making 250 T-shirts?

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Working with Data