Download Algebra 1 Final Review

Algebra 1 Finals Cram Session 5/23/22
Rules of Exponents:
1.
2.
3.
4. Simplify the following
5. Simplify
6. Simplify the following
Simplify the following radicals:
7.
8.
9.
b-e
Exponential Equations:
10. State whether the following equations are growth, decay, or neither?
11. State whether the following equations are growth, decay, or neither?
12. Graph the following exponential equation: y = ½(4)x .
What is the y-int: __________
Growth/Decay: ____________
Asymptote: _______________
Domain: __________________
Range: ___________________
13. Graph the following exponential equation: y = (1/3)x .
What is the y-int: __________
Growth/Decay: ____________
Asymptote: _______________
Domain: __________________
Range: ___________________
Application Problems for Exponential Equations:
14.
15. Two major cities each have a population of 25,000 people. The population of City A
increases by about 260 people per year. The population of City B increases by about 1% per
year. Write the equation that models each cities growth and figure which city would have a
greater population after 10 years.
16. If you purchase a vehicle today that is worth $48,500, how much would it be worth after 5
years if its value depreciates at a rate of 12%?
Quadratics:
17.
18. What is the area of the kitchen?
Factor the following:
19. x2 + 8x + 12
22. 2x2 + 3x – 5
20. x2 – 8x + 15
23. 8x2 – 22x + 5
21. x2 – 2x – 24
24. 5x2 -8x + 3
Factor with the quadratic function:
25. x2 – 8x – 20
26. x2 + 9x
27. 4x2 + 9x + 1
Factor special quadratic equations:
28. x2 – 16
29. 2x2 + 13x = 7
30. 2x2 – 8x + 6
Find the vertex and axis of symmetry of the following:
31. y = (x + 5)2 – 4
32. y = - (x – 1)2 – 1
34. y = x2 + 2x - 1
Vertex: __________________
Max/Min: _______________
Zero(s): _________________
Axis of Symmetry: ________
Domain: ________________
Range: _________________
35. y = -x2 - 6x - 5
Vertex: __________________
Max/Min: _______________
Zero(s): _________________
Axis of Symmetry: ________
Domain: ________________
Range: _________________
33. y = 6x2 +7x – 2