Learning Objectives Unit 11
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| 1 |
Adding and Subtracting Polynomials
- Add and subtract polynomials
- Use polynomials to model real-life situations
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| 2 |
Multiplying Polynomials
- Multiply two polynomials
- Use polynomial multiplication in real-life situations
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| 3 |
Special Products of Polynomials
- Use special product patterns for the product of a sum and a difference, and for the square of a binomial
- Use special products as real-life models
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| 4 |
Solving Polynomial Equations in Factored Form
- Solve a polynomial equation in factored form
- Relate factors and x-intercepts
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| 5 |
Factoring x^2 + bx + c
- Factor a quadratic expression of the form x^2 + bx + c
- Solve a quadratic expression by factoring
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| 6 |
Factoring ax^2 + bx + c
- Factor a quadratic expression of ax^2 + bx + c
- Solve quadratic equations by factoring
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| 7 |
Factoring Special Products
- Use special product patterns to factory quadratic polynomials
- Solve quadratic equations by factoring
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| 8 |
Factoring Using the Distributive Property
- Use the distributive property to factor a polynomial
- Solve polynomial equations by factoring
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Skills Quizzes : Properties of Real Numbers
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| Quiz Name |
Skill Assessed |
Practice File |
Passing Grade |
Notes |
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| Graphing |
Solve systems of equations by graphing; check the solution |
See homework assignments for practice problems
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3 out of 4 |
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| Substitution |
Solve systems of equations using the substitution method; check the solution. |
See homework assignments for practice problems |
3 out of 4 |
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| 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 |
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| Writing Systems of Equations |
Write a system of equations to model a problem; then solve the system and check the solution. |
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5 out of 6 |
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| 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?
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Practice problem sets (PDF)
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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
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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?
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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?
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George's age is 5 times Kendell's age.
The sum of their ages is 48. Find the age of each.
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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?
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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?
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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.
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George scored 13 more points than twice as many as Roy did. Their combined score was 40 points. How many points did each score?
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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?
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