Semester 2 Practice Final Hour _____ Date______
ALGEBRA 1 Name______
Semester 2 Practice Final Hour _____ Date______
______1. Rewrite the equation as many different ways as you can.
______2. Classify by degree and number of terms.
______3. What algebraic expression is represented by the following area model?
______4. Simplify
______5. Solve the inequality .
______6. The length of a rectangle is 5 feet longer than its width. Its area is 176 square feet. What are the dimensions of the rectangle?
______7. Renee has planted 8 vegetable plants in her garden. If she can plant 3 plants per minute, write an equation that describes the number of plants she will have planted after more minutes.
______8. You are given the equation . Solve for .
______9. Simplify .
______10. Find the slope of the line with the equation .
______11. If Javier invests $5,000 in an account earning 5.5% interest compounded annually, how much money will he have in the account after 9 years?
______12. What is the degree of the polynomial ?
______13. A cube has a side length of 4. What is its volume?
______14. Simplify .
______15. Simplify .
______16. Graph the inequality .
______17. Simplify .
______18. Over the course of 3 hours, the temperature dropped from 80° to 55°. What is the rate of temperature change in degrees per hour?
______19. Rachel has $25 dollars to spend at the county fair. It will cost her $6 to enter the fairgrounds and $0.25 for each ride. Write an inequality that represents the number of possible rides that Rachel can ride,
______20. The following equation represents the height in feet of a projectile after seconds. What is the initial height?
______21.Graph the line .
______22. If you were to graph the following equation, at which point would the vertex be located?
______23. Mindy is painting fence posts on her farmland. She has already painted 20 posts and is able to paint 4 posts per hour. An equation representing the number of fence posts that she paints is an example of which of these?
- exponential decay C. constant increase
- constant decreaseD. exponential growth
______24. Which property is illustrated by the following example?
=
- Product to a PowerC. Power to a Power Property
- Product of Like BasesD. Product of Exponents Property
______25. Determine the number of solutions to the system of equations below.
______26. A new car purchased for $25,000 loses its value at a rate of 15% per year. Write an equation that represents the value of the car after years.
______27. What is the slope of a line that passes through the points and ?
______28. Graph the system of inequalities: .
______29. Solve the equation .
______30. The sum of two numbers is 23 and their product is 120. What are the two numbers?
______31. Graph the inequality on a number line.
______32. Expand .
______33. A cube has a volume of 512. What is its side length?
______34. Use the Quadratic Formula to solve the equation
______35. Rewrite the following using exponents: .
______36. If , find .
______37. The equation describes a function that models the total amount of money y in a savings account after x years. If $2,000 is invested at an annual yield of 3.5%. What is the domain of this function?
______38. Explain what a function is.
______39. Solve for x: .
______40. Simplify .
______41. Simplify
______42. Use the Quadratic Formula to solve the equation
______43. Use the discriminant to find the number of real solutions.
______44. If you graph , the y-intercept would be ______?
______45. The parabola opens which direction?
______46. What is the greatest common factor of ?
______48. Simplify the expression .
______49. Simplify the expression.
______50. Twenty animals were introduced into a large forest. In 4 years, the population had multiplied by a factor of 18. If P is the number of animals t years after introduction, write a formula that relates P and t.
______51. Find the coordinates of the vertex of the parabola with the equation
______52. What is the slope of the line graphed at the right?
______53. Find the exact length of the missing side.
______54. What is the solution to the system
______55. What is the domain and range of the graph at the right?