Unit 10 Quadratic Equations
  
Learning Objectives Unit 10
Quadratic Equations and Functions
1
    Solving Quadratic Equations by Finding Square Roots
  • Evaluate and approximate square roots
  • Solve a quadratic equation by finding square roots
2
    Simplifying Radicals
  • Use properties of radicals to simplify radicals
  • Use quadratic equations to model real-life problems
3
    Graphing Quadratic Functions
  • Sketch the graph of a quadratic function
  • Use quadratic models in real-life settings
4
    Solving Quadratic Equations by Graphing
  • Solve a quadratic equation graphically
  • Use quadratic models in real-life settings
5
    Solving Quadratic Equations by the Quadratic Formula
  • Use the quadratic function to solve a quadratic equation
  • Use quadratic models in real-life settings
6
    Applications of the Discriminant
  • Use the discriminant to find the number of solutions of a quadratic equation
  • Apply the discriminatnt to solve real-life problems
7
    Graphing Quadratic Inequalities
  • Sketch the graph of a quadratic inequality
  • Use quadratic inequalities as real-life models
8
    Comparing Linear, Exponential, and Quadratic Models
  • Choose a model that best fits a collection of data
  • Use models in real-life settings

Skills Quizzes : Properties of Real Numbers

Quiz Name Skill Assessed Practice File Passing Grade Notes
Graphing Solve systems of equations by graphing; check the solution See homework assignments for practice problems 3 out of 4
Substitution Solve systems of equations using the substitution method; check the solution. See homework assignments for practice problems 3 out of 4  
Linear Combinations Solve systems of equations using linear combinations; this includes adding, subtracting, multiplication, division; check the solution. See homework assignments for practice problems 3 out of 4  
Writing Systems of Equations Write a system of equations to model a problem; then solve the system and check the solution. 5 out of 6
Writing Systems of Equations Write a system of equations to model a problem; then solve the system and check the solution.
Sample: The difference of George's age and Madison's age is 9 years. The sum of 6 times George's age and 5 times Madison's age is 153. How old is each? 		Practice problem sets (PDF) 3 out of 3 Practice problem set solutions (PDF)
Sample Word Problems For each of these word problems, students should be able to:
  • Write a system of equations that models the propblem
  • Choose an appropriate method for solving the system - graphing, substitution, linear combinations
  • Solve the system (for all variables)
  • Check the solution (in all equations) algebraically

Samantha has $3.40 in dimes and quarters. The number of dimes is 8 less than the number of quarters. How many coins of each type does she have? A piggy bank has $4.30 in dimes and quarters. If the number of dimes is 7 more than 2 times the number of quarters, how many coins of each type are in the piggy bank?
George's age is 5 times Kendell's age. The sum of their ages is 48. Find the age of each. The difference of Jimmy's age and Linda's age is 10 years. The sum of 5 times Jimmy's age and 4 times Linda's age is 104. How old is each?
There were 235 people at a movie to raise funds for the drama club. Admision was $8.00 for each adult and $4.00 for each student. The total receipts for all tickets was $1504.00. How many adults and how many students attended? The length of a rectangle is 11 m less than 5 times the width. The perimeter is 434 m. Find the length and width of the rectangle.
George scored 13 more points than twice as many as Roy did. Their combined score was 40 points. How many points did each score? The difference of Jen's age and Mark's age is 6 years. The sum of 4 times Jen's age and 3 times Mark's age is 108. How old is each?