Algebra 1B Semester Test Review
CHAPTER 7
1. What is the simplified form of 2𝑥 2 𝑦 −3 𝑧 5?
2. What is the simplified form of (−2𝑎5 𝑏3)(4𝑎2 𝑏−2)?
3. What is the simplified form of (−
5𝑎 −3
2
)
4. What is the simplified form of (2.25 × 102)(3.6 × 105 ) written in scientific notation
5. What is the simplified form of 𝑚(𝑚−5 )−4
6. What is the simplified form of
8.2×1014
2.2×103
written in scientific form
7. 15. Find the balance in the account after the given period of time. $4000 principle earning 6% compounded annually,
after 5 years.
8. 16. Is the following sequence a geometric sequence? 162, 54, 18, 6, …
3
9. Simplify the expression 2 √𝑥 5
10. Know what a linear and an exponential function looks like
11. Know what exponential growth and what exponential decay formulas look like
CHAPTER 8
12. What is the degree of the monomial 3𝑥 4 𝑦 3
13. What is the simplified form of 12𝑏3𝑐 2 + 9𝑏3 𝑐 2
14. What is the simplified form of (3𝑥 2 − 4𝑥 + 6𝑥) + (5𝑥 3 + 2𝑥 2 − 3𝑥)
15. Simplify the following 4𝑥 2 (3𝑥 − 7)
16. What is the GCF of 8𝑐 4 + 12𝑐 3 + 10𝑐 2
17. What is the simplified form of (𝑥 − 4)(3𝑥 + 2)
18. What is the simplified form of (2𝑥 2 + 2𝑥 − 4)(5𝑥 + 2)
19. What is the factored form of 𝑥 2 + 6𝑥 + 8
20. What is the factored form of 4𝑥 2 + 12𝑥 + 5
21. What is the factored form of 𝑥 2 − 144
CHAPTER 9
22. What is the vertex of the parabola?
23. Know how to graph a parabola
24. What is the axis of symmetry of the function 𝑦 = −2𝑥 2 + 4𝑥 − 6
25. What is the vertex of the function 𝑦 = −2𝑥 2 + 4𝑥 − 6
26. What is the solution of 𝑎2 − 64 = 0
27. What is the solution of 𝑏2 + 144 = 0
28. Use the zero-product property to solve the equation 𝑥(𝑥 − 9) = 0
29. What is the value of n such that the expression 𝑥 2 + 11𝑥 + 𝑛 is a perfect square trinomial?
30. Use the discriminant to find how many solutions are there for 5𝑥 2 + 7𝑥 − 4 = 0