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
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Write an equation of the line with the given slope and yintercept
1. slope: 0.8, yintercept: 10
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2 points
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Write a linear equation in slopeintercept form to model the situation.
2. An icicle is 12 inches long and melts at a rate of 1/4 inch per hour
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2 points
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3. Write an equation for the total cost C of renting a bicycle and riding for m miles.
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2 points
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D
4. Graph the equation needed to represent the cost at Beach Bike Rentals.
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2 points
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5. What is the cost of renting a bike and riding 18 miles?
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2 points
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D
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 yintercept
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2 points
A. w = −0.5d − 34 ; The slope is −0.5 and the yintercept is −34.
B. w = 34d + 0.5 ; The slope is 34 and the yintercept is 0.5.
C. w = −0.5d + 34 ; The slope is −0.5 and the yintercept is 34.
D. w = 34d − 0.5 ; The slope is 34, and the yintercept is −0.5
7. Find the slope of the line.
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2 points
A. − 1/6
B. 0
C. 10
D. Undefined
Write each equation in standard form.
8. y – 2 = –2(x – 9)
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2 points
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B
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Write the equation in slopeintercept form.
9. y + 3 = 2 (x − 1)
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2 points
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Write the slopeintercept 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
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2 points
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Write the slopeintercept 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
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2 points
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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.
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13.
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2 points
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Solve the inequality. Graph the solution on a number line.
14.
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2 points
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D
15. k − 7 < 4
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2 points
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Solve the inequality.
16.
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2 points
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17. 10m ≤ 50
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2 points
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18. 2h + 6 > −8
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2 points
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19. 4a + 3 − 7a > 15
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2 points
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20. −2(6z + 9) < −6(2z − 4)
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2 points
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Solve the compound inequality and graph the solution set.
21. u + 2 ≥ 1 and u − 4 < 3
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2 points
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22. g − 9 > −1 or g + 2 > 6
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2 points
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23. Solve d − 1 > 6.
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2 points
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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?
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2 points
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D
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?
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2 points
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Solve the system of inequalities by graphing.
26. y ≤ x + 2 and y > 2x − 2
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2 points
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B
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27. y ≤ −2x + 1 and y > −x − 2
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2 points
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Use the graph below to determine the number of solutions the system has.
28. x = 4 ; y = x + 3
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2 points
a. no solution
b. one
c. two
d. infinitely many
29. 2x = 2y − 6 ; y = x + 3
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2 points
a. no solution
b. one
c. two
d. infinitely many
30. 2x = 2y − 6 ; y = x − 2
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2 points
a. no solution
b. one
c. two
d. infinitely many
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.
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2 points
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D
32. y = x + 10 ; 2x − 3y = 0
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2 points
a. (0, 10)
b. (–30, –20)
c. (–20, –30)
d. (30, 40)
33. 2 = x − 2y ; −x + 8 = −y
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2 points
a. infinitely many solutions
b. (14, 6)
c. (–2, –2)
d. (–10, –6
34. The sum of two numbers is 90. Their difference is 12. What are the numbers?
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2 points
a. no solution
b. 31 and 59
c. 35 and 47
d. 39 and 51
35. Joji earns 3 times as much as Masao. If Joji and Masao earn $4500.00 together, how much money does Masao earn?
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2 points
a. $1125.00
b. $3375.00
c. $1500.00
d. $1000.00
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?
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2 points
a. 83%
b. 88%
c. 93%
d. 95%
Use elimination to solve the system of equations.
37. −2x − 6y = 10 ; 4x + 6y = −2
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2 points
a. (4, –3)
b. (2, –1)
c. (–4, 3)
d. (–2, 1)
38. −2x + 5y = −8 ; 2x + 7y = 8
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2 points
a. (4, 0)
b. (24, –8)
c. (–24, 8)
d. (–4, 0)
39. −2x + 5y = −10 ; −2x + 4y = 10
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2 points
a. (–5, 0)
b. (–45, –20)
c. (45, 20)
d. (5, 0)
40. −7x − 3y = 10 ; 9x − 3y = −6
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2 points
a. (1, 1)
b. (–1, –1)
c. (–2, –8)
d. (2, 8)
41. −6x − 2y = 10 ; −10x + 6y = −2
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2 points
a. (–1, –2)
b. (–2, –1)
c. (4, 7)
d. (–4, –7)
42. 4x − 2y = 4 ; −9x + 3y = 6
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2 points
a. (0, –2)
b. (–10, –4) d. (–4, –10)
c. (0, 2)
d. (–4, –10)
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?
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2 points
a. 3t + 5s = 6.4 and 4t + 6s = 7.5
b. t + s = 6.4 and 4t + 6s = 7.5
c. 3t + 5s = 6.4 and t + s = 7.5
d. 5t + 3s = 6.4 and 6t + 4s = 7.5
Determine the best method to solve the system of equations. Then solve the system.
44. 7x − 2y = 8 ; 5x + 2y = 4
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2 points
a. elimination using subtraction; (2, − 3)
b. elimination using addition; ( −0.5/ , 1)
c. elimination using subtraction; (−3, 2)
d. elimination using addition; (1, 0.5)
45. x = 2y − 1 ; 3x − 3y = 9
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2 points
a. substitution; (7,4)
b. elimination using multiplication; (3,2)
c. substitution; (4,7)
d. elimination using multiplication; (−21,−10)
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?
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2 points
a. Sam’s score: 46.5; Nicole’s score: 59
b. Sam’s score: 21.5; Nicole’s score: 34
c. Sam’s score: 34; Nicole’s score: 46.5
d. Sam’s score: 46.5; Nicole’s score: 34
Simplify. Assume that no denominator is equal to zero.
47.
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2 points
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48.
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49.
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50.
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2 points
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51.
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2 points
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Express the number in scientific notation.
52. 0.00241
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2 points
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53. 352 × 10^−6
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0 points
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Express the number in the statement in standard notation.
54. In 2001, the United States Postal Service employed 7.76 × 10^5 people.
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2 points
a. 77,600
b. 776,000
c. 7,760,000
d. 77,600,000
55. Evaluate. Express the result in scientific notation.
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2 points
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