Algebra I Second Semester Final Exam - Multiple Choice Section
Follow the directions for each question. Make sure to show all of your work. Take your time and double check your answers. Identify the choice that best completes the statement or answers the question
Write an equation of the line with the given slope and y-intercept
1. slope: 0.8, y-intercept: 10 *
2 points
Write a linear equation in slope-intercept form to model the situation.
2. An icicle is 12 inches long and melts at a rate of 1/4 inch per hour *
2 points
3. Write an equation for the total cost C of renting a bicycle and riding for m miles. *
2 points
4. Graph the equation needed to represent the cost at Beach Bike Rentals. *
2 points
5. What is the cost of renting a bike and riding 18 miles? *
2 points
6. The water level of a river is 34 feet and it is receding at a rate of 0.5 foot per day. Write an equation that represents the water level, w, after d days. Identify the slope and y-intercept *
2 points
7. Find the slope of the line. *
2 points
Write each equation in standard form.
8. y – 2 = –2(x – 9) *
2 points
Write the equation in slope-intercept form.
9. y + 3 = 2 (x − 1) *
2 points
Write the slope-intercept form of an equation of the line that passes through the given point and is parallel to the graph of the equation.
10. (–3, 5), y = −5x + 3 *
2 points
Write the slope-intercept form of an equation that passes through the given point and is perpendicular to the graph of the equation.
11. (5, 2), y = x – 5 *
2 points
Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation.
12. *
2 points
13. *
2 points
Solve the inequality. Graph the solution on a number line.
14. *
2 points
15. k − 7 < 4 *
2 points
Solve the inequality.
16. *
2 points
17. 10m ≤ 50 *
2 points
18. 2h + 6 > −8 *
2 points
19. 4a + 3 − 7a > 15 *
2 points
20. −2(6z + 9) < −6(2z − 4) *
2 points
Solve the compound inequality and graph the solution set.
21. u + 2 ≥ 1 and u − 4 < 3 *
2 points
22. g − 9 > −1 or g + 2 > 6 *
2 points
23. Solve |d − 1| > 6. *
2 points
24. At a track meet, the height of John’s high jump was within 6 inches of the track record of 76 inches. What is the range of heights for John’s jump? *
2 points
25. The weather reporter said that the previous day’s temperatures varied 8° from the normal temperature of 45°F. What was the possible range of temperatures on the previous day? *
2 points
Solve the system of inequalities by graphing.
26. y ≤ x + 2 and y > 2x − 2 *
2 points
27. y ≤ −2x + 1 and y > −x − 2 *
2 points
Use the graph below to determine the number of solutions the system has.
28. x = 4 ; y = x + 3 *
2 points
29. 2x = 2y − 6 ; y = x + 3 *
2 points
30. 2x = 2y − 6 ; y = x − 2 *
2 points
Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.
31. *
2 points
32. y = x + 10 ; 2x − 3y = 0 *
2 points
33. 2 = x − 2y ; −x + 8 = −y *
2 points
34. The sum of two numbers is 90. Their difference is 12. What are the numbers? *
2 points
35. Joji earns 3 times as much as Masao. If Joji and Masao earn \$4500.00 together, how much money does Masao earn? *
2 points
36. Dakota’s math test grade was 7 points less than his science test grade. The sum of the grades was 183%. What did Dakota get on his math test? *
2 points
Use elimination to solve the system of equations.
37. −2x − 6y = 10 ; 4x + 6y = −2 *
2 points
38. −2x + 5y = −8 ; 2x + 7y = 8 *
2 points
39. −2x + 5y = −10 ; −2x + 4y = 10 *
2 points
40. −7x − 3y = 10 ; 9x − 3y = −6 *
2 points
41. −6x − 2y = 10 ; −10x + 6y = −2 *
2 points
42. 4x − 2y = 4 ; −9x + 3y = 6 *
2 points
43. The cost of 3 large candles and 5 small candles is \$6.40. The cost of 4 large candles and 6 small candles is\$7.50. Which pair of equations can be used to determine, t, the cost of a large candle, and s, the cost of a small candle? *
2 points
Determine the best method to solve the system of equations. Then solve the system.
44. 7x − 2y = 8 ; 5x + 2y = 4 *
2 points
45. x = 2y − 1 ; 3x − 3y = 9 *
2 points
46. Sam’s test score is 12.5 more than Nicole’s score. The sum of twice Sam’s score and three times Nicole’s score is 195. What are Sam and Nicole’s test scores? *
2 points
Simplify. Assume that no denominator is equal to zero.
47. *
2 points
48. *
2 points
49. *
2 points
50. *
2 points
51. *
2 points
Express the number in scientific notation.
52. 0.00241 *
2 points
53. 352 × 10^−6 *
0 points
Express the number in the statement in standard notation.
54. In 2001, the United States Postal Service employed 7.76 × 10^5 people. *
2 points
55. Evaluate. Express the result in scientific notation. *
2 points