Mathematics Vision Project Secondary Math 2 Module 3 Answer Key

1 Integrated Math 2 Module 3 Quadratic Functions Ready, Set, Go! Homework Adapted from The Mathematics Vision Project: Scott Hendrickson, Joleigh Honey, Barbara Kuehl, Travis Lemon, Janet Sutorius © 2013 Mathematics Vision Project | MVP In partnership with the Utah State Office of Education Licensed under the Creative Commons Attribution‐NonCommercial‐ShareAlike 3.0 Unported license.

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2 SDUHSD Math 2 College Prep Name: Solving Quadratic and Other Equations 3.1 Ready, Set, Go! Ready Topic: Comparing additive and multiplicative patterns. The sequences below exemplify either an additive (arithmetic) or a multiplicative (geometric) pattern. Identify the type of sequence, fill in the missing values on the table and write an equation. 1. Term 1 st 2 nd 3 rd 4 th 5 th 6 th 7 th 8 th Value 9 81 Type of Sequence: Equation: 2. Term 1 st 2 nd 3 rd 4 th 5 th 6 th 7 th 8 th Value 160 80 40 20 Type of Sequence: Equation: 3. Term 1 st 2 nd 3 rd 4 th 5 th 6 th 7 th 8 th Value 5 12 Type of Sequence: Equation:

3 SDUHSD Math 2 College Prep Use the graph of the function to find the desired values of the function. Also create an explicit equation for the function. 4. Find the value of 5. Find where 6. Find the value of 7. Find where 8. What do you notice about the way that inputs and outputs for this function relate? (Create an in-out table if you need to.)

4 SDUHSD Math 2 College Prep Set Topic: Evaluate the expressions with rational exponents. Fill in the missing values of the table based on the growth that is described. 9. The growth in the table is triple at each whole year. Years 0 1 2 Bacteria 2 10. The growth in the table is triple at each whole year. Years 0 1 Bacteria 2 11. The values in the table grow by a factor of four at each whole year. Years 0 1 Bacteria 2 Go Topic: Simplifying exponents Simplify the following expressions using exponent rules and relationships. Write your answers with positive exponents only. 3 4 6 2 6 2 8 12. 13. 14. 15. 16. 17.

5 SDUHSD Math 2 College Prep Topic: Writing functions in vertex and factored forms Write each quadratic function in vertex and factored forms. 18. 19. Vertex Form: Vertex Form: Factored Form: Factored Form: 20. 21. Vertex Form: Vertex Form: Factored Form: Factored Form:

6 SDUHSD Math 2 College Prep Name: Solving Quadratic and Other Equations 3.2 Ready, Set, Go! Ready Topic: Simplifying radicals A very common radical expression is a square root. One way to think of a square root is the number that will multiply by itself to create a desired value. For example: √ is the number that will multiply by itself to equal 2. And in like manner √ is the number that will multiply by itself to equal 16; in this case the value is 4 because . When the square root of a square number is taken you get a nice whole number value. Otherwise an irrational number is produced.