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EOC Practice #5

EOC Practice #5. SPI 3102.1.5. EOC Practice #5. Recognize and express the effect of changing constants and/or coefficients in problem solving. Ben works at a shoe store. The equation

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EOC Practice #5

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  1. EOC Practice #5 SPI 3102.1.5

  2. EOC Practice #5 • Recognize and express the effect of changing constants and/or coefficients in problem solving.

  3. Ben works at a shoe store. The equation • y = 15x + 60 represents his daily earnings, y, based on selling x pairs of shoes. What is represented by the slope in this equation? • A. The total pairs of shoes that Ben sells each day • B. The total amount of money Ben earns each day • C. The amount of money Ben earns for each pair of shoes he sells • D. The amount of money Ben earns if he does not sell any shoes

  4. Which transformation occurs to the graph • of y = 2x + 5 when the equation of the line changes to y = –2x + 5? • A. The line shifts to the left 2 units. • B. The line shifts down 2 units. • C. The line is reflected across the x-axis. • D. The line is reflected across the y-axis.

  5. Ally earns $2,500 per month plus a • commission of 7% of the total dollar amount of each sale she makes. Her total monthly earnings, P, are represented by the equation • P = 2,500 + 0.07t, where t represents the total • dollar amount of her sales for the month. • Which equation will represent her total monthly • earnings in dollars if her commission increases • an additional 2%? • A. P = 2,700 + 0.09t C. P = 2,700 + 0.07t • B. P = 2,500 + 0.09t D. P = 2,500 + 0.05t

  6. Which transformation occurs to the graph of • y = –5x + 2 when the equation of the line changes to y = –5x – 3? • A. The line shifts to the left 5 units. • B. The line shifts down 5 units. • C. The line is reflected across the x-axis. • D. The line is reflected across the x-axis.

  7. What transformation occurs to the graph of • y = 3x + 1 when the equation of the line changes to y = 6x + 1? • A. The line becomes steeper. • B. The line becomes less steep. • C. The line shifts 3 units up. • D. The line shifts 3 units right.

  8. Jim and Sam are both spending the night with a • cousin. The total number of miles Jim drives, J, • including a 2.5 mile detour for lunch, is given by • the equation J = 65t + 2.5. The total number of • miles Sam drives, S, including a 1 mile detour to • pick up another cousin, is given by the equation • S = 70t + 1. If t represents the time in hours after • each boy leaves home, which statement best • compares Jim’s speed to Sam’s speed? • A. Jim’s speed is 5 miles faster than Sam’s. • B. Jim’s speed is 1.5 miles faster than Sam’s. • C. Jim’s speed is 5 miles slower than Sam’s. • D. Jim’s speed is 1.5 miles slower than Sam’s.

  9. The Answers

  10. Ben works at a shoe store. The equation • y = 15x + 60 represents his daily earnings, y, based on selling x pairs of shoes. What is represented by the slope in this equation? • A. The total pairs of shoes that Ben sells each day • B. The total amount of money Ben earns each day • C. The amount of money Ben earns for each pair of shoes he sells • D. The amount of money Ben earns if he does not sell any shoes

  11. Which transformation occurs to the graph • of y = 2x + 5 when the equation of the line changes to y = –2x + 5? • A. The line shifts to the left 2 units. • B. The line shifts down 2 units. • C. The line is reflected across the x-axis. • D. The line is reflected across the y-axis.

  12. Ally earns $2,500 per month plus a • commission of 7% of the total dollar amount of each sale she makes. Her total monthly earnings, P, are represented by the equation • P = 2,500 + 0.07t, where t represents the total • dollar amount of her sales for the month. • Which equation will represent her total monthly • earnings in dollars if her commission increases • an additional 2%? • A. P = 2,700 + 0.09t C. P = 2,700 + 0.07t • B. P = 2,500 + 0.09t D. P = 2,500 + 0.05t

  13. Which transformation occurs to the graph of • y = –5x + 2 when the equation of the line changes to y = –5x – 3? • A. The line shifts to the left 5 units. • B. The line shifts down 5 units. • C. The line is reflected across the x-axis. • D. The line is reflected across the x-axis.

  14. What transformation occurs to the graph of • y = 3x + 1 when the equation of the line changes to y = 6x + 1? • A. The line becomes steeper. • B. The line becomes less steep. • C. The line shifts 3 units up. • D. The line shifts 3 units right.

  15. Jim and Sam are both spending the night with a • cousin. The total number of miles Jim drives, J, • including a 2.5 mile detour for lunch, is given by • the equation J = 65t + 2.5. The total number of • miles Sam drives, S, including a 1 mile detour to • pick up another cousin, is given by the equation • S = 70t + 1. If t represents the time in hours after • each boy leaves home, which statement best • compares Jim’s speed to Sam’s speed? • A. Jim’s speed is 5 miles faster than Sam’s. • B. Jim’s speed is 1.5 miles faster than Sam’s. • C. Jim’s speed is 5 miles slower than Sam’s. • D. Jim’s speed is 1.5 miles slower than Sam’s.

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