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Algebra 1 Semester Exam

43 Questions
Algebra 1 Semester Exam

Use this test for extra credit and to prepare for the upcoming semester exam. Note: ^ indicates an exponet. For example x^2 reads x to the second power.

Questions and Answers
  • 1. 
    The tThe table below shows a set of values for x and y.  Which equation best represents this set of data?
    x -2 -1 1 3 4
    y 8 5 -1 -7 -10
    • A. 

      Y = 2x – 5

    • B. 

      Y = 2x – 3

    • C. 

      Y = -3x+2

    • D. 

      Y = -2x + 3

  • 2. 
    WhicWhich equation describes the data in the table?  
    x y
    -3 3
    0 1
    3 -1
    6 -3
    • A. 

      Y = 3/2x +1

    • B. 

      Y = 3/2x – 1

    • C. 

      Y = 2/3x + 3

    • D. 

      Y = -2/3x + 1

  • 3. 
    WWWhat  is the slope-intercept form of a line whose slope is -2 and has a y-intercept of 3?
    • A. 

      Y = 5x – 2

    • B. 

      Y = 2 – 5x

    • C. 

      Y = -2x + 3

    • D. 

      Y = -2/5x

  • 4. 
    In           In the  In the equation 2x + 3y = 6, what is the slope and y-intercept?
    • A. 

      M = -2/3 ; b = 2

    • B. 

      M = -3/2 ; b = 2

    • C. 

      M = 2/3 ; b = 2

    • D. 

      M = 2/3 ; b = 3

  • 5. 
                    W        W hat is the slope-intercept form of a line containing the points (4,4) and (2,-1)?
    • A. 

      Y = 5/2x + 6

    • B. 

      Y = 5/2x - 6

    • C. 

      Y = -2x + 6

    • D. 

      Y = 2x – 6

  • 6. 
    Kevin has 250 marbles, some red and the rest blue.  He has 24 more blue marbles than red marbles.  How many blue marbles does he have?
    • A. 

      113

    • B. 

      157

    • C. 

      137

    • D. 

      123

  • 7. 
    • A. 

      4/3

    • B. 

      3/4

    • C. 

      -4/3

    • D. 

      -3/4

  • 8. 
             Write the equation 4x + 3y = 12 in slope-intercept form.
    • A. 

      Y = 3/4x + 4

    • B. 

      Y = 4/3x - 4

    • C. 

      Y = 4/3x + 4

    • D. 

      Y = -4/3x + 4

  • 9. 
    What is the solution of 6x + 2 = 2(2x + 2)?
    • A. 

      X = -1

    • B. 

      X = 2

    • C. 

      X = -2

    • D. 

      X = 1

  • 10. 
    What is the solution of 2(5x) = 2x + 3x + 40?
    • A. 

      X = 20

    • B. 

      X = 4

    • C. 

      X = 8

    • D. 

      X = 16.6

  • 11. 
    What is the equation of a line with the point (3, 0) and goes through the y axis at (0, -2)?
    • A. 

      Y = 3/2x + 2

    • B. 

      Y = 2/3x - 2

    • C. 

      Y = -2/3x -2

    • D. 

      Y = -2/3x + 2

  • 12. 
              John is going to visit the Grand Canyon over the summer.  The train fare and hotel costs are listed in the table below:
    Expense A B
    Roundtrip Train Fare $110 $200
    Campsite Costs $25 $15
      How many days will John have to stay at the Grand Canyon to have the total be the same for both packages?
    • A. 

      15 days

    • B. 

      5 days

    • C. 

      9 days

    • D. 

      12 days

  • 13. 
    Henry was biking and saw a sign that said “240 miles to Gainesville”.  On his map, ½ of an inch equals 20 miles.  How long in inches is the distance from where Henry is to Gainesville?
    • A. 

      12

    • B. 

      120

    • C. 

      6

    • D. 

      60

  • 14. 
    While on an all day run, Jessica ran 8 miles in 2 hours.  After stopping for lunch at noon, she continued running at 2:00 PM and ran until 6:00.  If she ran the same rate of speed, how far did Jessica run after she was finished with lunch?
    • A. 

      18

    • B. 

      16

    • C. 

      32

    • D. 

      20

  • 15. 
    Tom can create 9 rolls of sushi every 40 minutes.  How many rolls can he make in six hours?
    • A. 

      81

    • B. 

      86

    • C. 

      44

    • D. 

      36

  • 16. 
    Two rectangles are similar.  Rectangle “A” has a width of 12 feet and a length of 15 feet.  If triangle “B” has a length of 60 feet, what is its width?
    • A. 

      57

    • B. 

      63

    • C. 

      84

    • D. 

      48

  • 17. 
    While hiking on a trail, George measured his shadow at 12 feet long; George is 5 feet tall.  At the same time, George measured a tree’s shadow to be 60 feet long.  How tall is the tree?
    • A. 

      45

    • B. 

      54

    • C. 

      25

    • D. 

      30

  • 18. 
    Pierre needs 6 inches of fishing line to cast every 4 feet into a lake.  If his cast went 40 feet, how much fishing line did he use?
    • A. 

      10

    • B. 

      4

    • C. 

      100

    • D. 

      5

  • 19. 
             Lt. Dahlia Johnson is a jet pilot in the United States Navy. After her jet is launched from the flight deck of an aircraft carrier, the jet’s altitude above sea level increases at a constant rate of 65 feet per second.  If the flight deck of the carrier is 90 feet above sea level, which equation could be used to find t, the number of seconds it will take Lt. Johnson to reach her cruising altitude of 20,000 feet above sea level? 
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 20. 
             The population of a town is 13,000 and is increasing by about 250 people per year. This information can be represented by the following equation, where y represents the number of years and p represents the population.   p =13,000 + 250y  According to the equation above, in how many years will the population of the town be 15,500?
    • A. 

      6

    • B. 

      10

    • C. 

      1250

    • D. 

      20

  • 21. 
              On a coordinate grid, the location of a lighthouse is at (8, 7) and the location of a buoy is at (-6, -3). At noon, a ship was at the middle of the segment connecting the lighthouse and the buoy. Which of the choices below best describes the ship location at noon?
    • A. 

      Y-axis

    • B. 

      Quadrant 2

    • C. 

      Quadrant 1

    • D. 

      Quadrant 3

  • 22. 
    David and Terri drove a small motorboat down a river with the current. The rate the boat traveled in still water was r miles per hour and the current’s average speed was c miles per hour. It took them 4.5 hours to travel 12 miles downstream. Which of the following equations can be used to represent this information?
    • A. 

      4.5 = (r + c)12

    • B. 

      4.5 = (r - c)12

    • C. 

      12 = (r + c)4.5

    • D. 

      12 = (r - c)4.5

  • 23. 
    An aircraft carrier made a trip to Guam and back. The trip there took three hours and the trip back took four hours. It averaged 3 km/h on the return trip. Find the average speed of the trip there.
    • A. 

      2 km/h

    • B. 

      4 km/h

    • C. 

      6 km/h

    • D. 

      8 km/h

  • 24. 
    If f(x) = x2 + 4x + 12 , then what is f(4) – f(2)?
    • A. 

      20

    • B. 

      2

    • C. 

      28

    • D. 

      -28

  • 25. 
               An artist sells earrings from a booth at a fair. Rent for the booth is $140. The artist makes $8 from each pair of earrings sold. The profit in dollars, P, can be found using the following equation, where n is the number of pairs of earrings sold. P = 8n - 140 How many pairs of earrings must the artist sell to earn a profit of $580?
    • A. 

      55

    • B. 

      90

    • C. 

      60

    • D. 

      70

  • 26. 
    Each ship that passes through the Panama Canal requires about 52 million gallons of water to move the ship through the canal from the Atlantic Ocean to the Pacific Ocean. If 24 ships passed through the canal, moving from the Atlantic Ocean to the Pacific Ocean, which is closest to the number of gallons of water that was required?
    • A. 

      1.2 x 10^8 gallons

    • B. 

      1.2 x 10^9 gallons

    • C. 

      8.8 x 10^8 gallons

    • D. 

      8.8 x 10^9 gallons

  • 27. 
               If f(x) = x2 - 2x + 2, then what is f(4) – f(2)?
    • A. 

      0

    • B. 

      12

    • C. 

      8

    • D. 

      4

  • 28. 
    Which is the correct way to express the atomic weight of an atom equaling .00000362 in scientific notation?
    • A. 

      3.62 x 10^4

    • B. 

      3.62 x 10^6

    • C. 

      3.62 x 10^-4

    • D. 

      3.62 x 10^-6

  • 29. 
              Evaluate 31,000,000. Which shows the answer in scientific notation?
    • A. 

      3.1 x 10^6

    • B. 

      3.1 x 1^-6

    • C. 

      3.1 x 10^7

    • D. 

      3.1 x 10^-7

  • 30. 
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 31. 
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 32. 
    • A. 

      -64

    • B. 

      -2

    • C. 

      2

    • D. 

      64

  • 33. 
              Sinbad is working in the lab, using a formula for chemical reactions. The number of seconds to complete a reaction is given by the equation below, where t is the number of seconds and C is the temperature in degrees Celsius when the reaction occurred. t = 575 – 10CC2 If his reaction was completed in 375 seconds, which of the following is one of the temperatures in degrees Celsius at the start of the chemical reaction?
    • A. 

      10

    • B. 

      8

    • C. 

      12

    • D. 

      9

  • 34. 
    Which of the following expressions is equivalent to 3x + 6(2 + x)?
    • A. 

      4x + 8

    • B. 

      9x + 12

    • C. 

      4x + 12

    • D. 

      9x + 6

  • 35. 
              Which of the following expressions is equivalent to 2x + 3c + 2(3c + 3x)?
    • A. 

      8x + 9c

    • B. 

      8x + 10c

    • C. 

      7x + 8c

    • D. 

      7x + 7c + 2

  • 36. 
           What is the value of x if y = 2 in the following expression, x = y (y3)?
    • A. 

      12

    • B. 

      9

    • C. 

      8

    • D. 

      16

  • 37. 
    Let 3n represent the lesser of three consecutive odd integers. Which equation would you use to find the three integers if their sum is 33?
    • A. 

      3n + 3n + 3n = 33

    • B. 

      (n + 2) + (n + 4) = 33

    • C. 

      3n + (3n +2) + (3n + 4) = 33

    • D. 

      3n + (n +2) + (n + 4) = 33

  • 38. 
               Kat knows the area of the rectangular family room floor in her house measures 362 square meters. The length of the floor is 6 meters longer than the width. Use w for the width of the floor. Which equation would calculate the length and width of Kat’s floor in her family room?
    • A. 

      2w + 2(w + 6) = 362

    • B. 

      W(w – 6) = 362

    • C. 

      W(w + 6) = 362

    • D. 

      6w – 6 = 362

  • 39. 
              The owner of a convenience store recorded the number customers in the store from 1:00 PM to 5:00 pm who were served Slurpees and the number of pints of Slurpee syrup that were used.
    Number of Boxes of Syrup, p Number of Customers, c
    3 18
    4 24
    5 30
    6 36
    7 42
    Which equation best describes the relationship between the number of customers who bought Slurpees and the number of boxes of syrup for those Slurpees?
    • A. 

      C = p + 6

    • B. 

      C = p

    • C. 

      C = 6p + 6

    • D. 

      C = 6p

  • 40. 
    If Brian makes $y per day and spends $x per day, how many dollars will he save in 10 days?
    • A. 

      10(y - x)

    • B. 

      10y - x

    • C. 

      10(x - y)

    • D. 

      10x - 10y

  • 41. 
    The tax on the price of an iPhone is $22.00. If the retail price is $221.00, which equation could you use to find the total price of the iPhone?
    • A. 

      22 = x + 221

    • B. 

      22 = x - 221

    • C. 

      221 = x + 22

    • D. 

      221 = 22x

  • 42. 
    Yesterday a total of 28 students were present in fourth period class. There were 2 fewer boys than twice the number of girls. Which system of equations can be used to find g. the number of girlss who were present in the fourth period class yesterday, and b, the number of boys who were present?
    • A. 

      G + b = 28 and b = 2g + 2

    • B. 

      G + b = 28 and b = 2g - 2

    • C. 

      G + b = 28 and g = 2b + 2

    • D. 

      G + b = 28 and g = 2b - 2

  • 43. 
              Which one of the following expressions is equivalent to the expression below? 2(4x – 4) + 4(2x – 2)
    • A. 

      16x - 16

    • B. 

      X

    • C. 

      16x

    • D. 

      16x + 16