Upward Bound Algebra I Final examination • Name:

Time (seconds) xDistance (m) y
010
215
420
625
830
1035
  1. Multiply: (x − 7)(x + 3x + 1)
  2. A ball was rolled along a 45 meter length of sidewalk. Chalk was used to mark the sidewalk every five meters. The time for the ball to pass each mark was recorded in the table. Plot this data on the graph provided.

Rolling a ball along the sidewalk background rectangle major grid lines axes x-axis and y-axis text layers Rolling a ball along the sidewalk Time (seconds) Distance (m) y-axis labels 0 5 10 15 20 25 30 35 40 45 50 x-axis labels 0.0 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0

  1. Draw a straight line through the points on the graph.
  2. ______________ Calculate the slope of the line.
  3. ______________ Write the y-intercept of the line.
  4. ______________ Use the slope and intercept to calculate the predicted distance the ball would roll in 12 seconds. [How far will the ball roll in 12 seconds?]
  5. ______________ Use the slope and intercept to calculate the predicted time for the ball to roll 60 meters.[How long a duration time for the ball to roll 60 meters?]
  6. ___________________ What is the name of the shape a tennis makes when tossed through the air?
  7. Fill in the table with y-values for the equation y = x² − 4x − 5.
  8. Use the table values to plot the equation y = x² − 4x − 5 on the graph.
x valuesy values
−2
−1
0
1
2
3
4
5

SVG blank graph (-5,-10) to (5,10) background rectangle major grid lines minor grid lines axes text layers Graph 2 x y y-axis labels −10 −8 −6 −4 −2 0 2 4 6 8 10 x-axis labels −5 −4 −3 −2 −1 0 1 2 3 4 5

  1. ________________ Find the average of 4, 8, 12, and 16
  2. ________________ What is your Fibobelly ratio?
  3. Solve for x by completing the square: x² + 20x + 51 = 0
  4. Solve for x by completing the square: x² + 11x + 14.25 = 0
  5. On the graph below, draw lines connecting the vocabulary words (vertex, y-intercept, roots, origin) on the graph with the correct location on the graph.

Arc of a marble Marble Marble text layers x y (−20, 0) (0, 0) (20, 0) (0, 40) marble r r k vertex y-intercept roots origin y = − ( k r2 ) x2 + k

  1. Write the equation for the ball path shown above, substituting in the appropriate numeric values for k and r: