Algebra 2 – Unit 1 Assessment – N-CN.1, N-CN.7, N-CN.8, A-SSE.4, A-APR.1, A-APR.2, A-APR.3, A-APR.4, A-APR.6, A-APR.7

1. 

2. Which of the options shown gives the solution to:

(x – 2)(x – 1) = -4

3. Which of the following shows the correct full factoring of:

3×2 + 48 ?

Deshawn is in his fifth year of employment as a patrol officer for the Metro Police. His salary for his first year of employment was $47,000. Each year after the first, his salary increased by 4% of his salary the previous year.

4. What is the sum of DeShawn’s salaries for his first five years of service?

5. Under what circumstances are polynomials able to be added or subtracted?

f(x) = 3×7 –  x4 + 2×3 – 5×2 – 4

6. Is x=2 a zero of this polynomial?

7. What are possible factors of the polynomial: Select all that apply

Alice was having a conversation with her friend Trina, who had a discovery to share:

“Pick any two integers. Look at the sum of their squares, the difference of their squares, and twice the product of the two integers you chose. Those three numbers are the sides of a right triangle.”

Trina had tried this several times and found that it worked for every pair of integers she tried. However, she admitted that she wasn’t sure whether this “trick” always works, or if there might be cases in which the trick doesn’t work.

8. Select the values of m and n that this discovery DOES NOT work:

9. 

What does:

(x/5×2) + (6/2×2) equal

10. Use ^ for exponents and have no spaces.