Questions

1) For the function y = x-squared + 2, calculate the y-values for the x-values provided in the chart. Graph the ordered pairs on graph paper. State the seven ordered pairs and also state if the function is linear or nonlinear. (Note: Graph paper is provided in the content area links.)

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2) Which graph matches the equation given in the previous problem? State the letter of the correct parabola.

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3) Solve the equation to find the roots of the equation. Make a table of x-values and y-values to help graph and solve the equation. Here are some suggested x-values to use {–6, –4, –2, 0, 2, 4, 6} to graph the equation. Substitute each x-value in the equation for “x” and find the corresponding y-value. Graph the points, sketch the graph, and then find the coordinates where the graph passes through the x-axis. State the solution for the two real roots of the equation.

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4) Which graph matches the equation given in the previous problem? State the letter of the correct parabola. .

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5) What are the two real roots of the quadratic equation?

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6) Which graph matches the equation given in the previous problem? State the letter of the correct parabola.

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7) Graph the given equation, and then compare it to the equation and correct graph in the previous two problems. (a) What is the difference in the two equations? (b) How has the graph in this problem changed in comparison to the graph in the previous problem?

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8) Which graph matches the equation given in the previous problem? State the letter of the correct parabola.

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9) Graph the given equation, and then compare it to the equation and correct graph in the previous two problems. (a) What is the difference in the two equations? (b) How has the graph in this problem changed in comparison to the graph in the previous problem?

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10) Which graph matches the equation given in the previous problem? State the letter of the correct parabola.

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11) Graph the given equation, and then find the real roots of the equation. Use a graphing calculator to solve the problems if one is available to you. If not, make a table of values, and then graph in a coordinate plane using the graph paper provided in the content links. Use x-values that range between –7 and 6.

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12) Which graph matches the equation given in the previous problem? State the letter of the correct parabola.

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13) If necessary, graph the ordered pairs given in the given table and determine if the data is linear or non-linear?

a.) linear

b.) non-linear

14) Which graph matches the equation given in the previous problem? State the letter of the correct graph.

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15) Is the given graph linear or non-linear?

a.) linear

b.) non-linear

16) Is the equation linear or non-linear?

a.) linear

b.) non-linear

17) Is the equation linear or nonlinear?

a.) linear

b.) non-linear

18) Carolyn is saving her pennies. Every day she doubles the number of pennies she is saving. On Day 1 she has one penny ($0.01), on Day 2 she has two pennies ($0.02), on Day 3 she has four pennies ($0.04), on Day 4, she has 8 pennies ($0.08), and so on, as shown in the chart and on the graph. Looking at the overall growth of Carolyn's savings, does it show linear growth?

a.) Yes

b.) No

19) Caroline, in the previous problem, is saving during the month of February. If she continues to save daily by doubling the number of pennies she is saving each day, predict how much money Carolyn will save by the end of the month (February 28th).

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20) Now, continue on with the chart to calculate the amount of money Carolyn saves each day. What is the amount of money that Carolyn will have accumulated in her savings account on February 28th?

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21) What is the slope of straight line CD that contains points C(1, 1) and D(10, 10)?

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22) What are the coordinates of the midpoint between points C and D in the previous problem?

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23) What is the sum of the measures of the exterior angles of a regular octagon?

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24) What is the measure of one exterior angle of a regular octagon?

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25) What is the volume of a square prism that is 4 centimeters by 4 centimeters by 8 centimeters?

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26) What is the volume of a cylinder with a radius of 4 centimeters and a height of 12 centimeters? Express the answer in hundredths.

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27) What is the volume of a triangular prism with a base triangle that measures 4 centimeters along the base edge and has a height of 3 centimeters, and the height of the triangular prism is 12 centimeters?

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28) Name the parallel lines.

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29) Name the transversal.

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30) Name four congruent angles that are acute angles.

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31) Name four congruent angles that are obtuse angles.

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32) List two pairs of vertical angles.

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33) List two pairs of alternate interior angles.

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34) Solve for “n”.

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35) Solve for “y”.

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36) Express 5,343,000,000 in scientific notation.

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37) Express 0.0000124 in scientific notation.

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38) What are the coordinates of the fourth vertex of a rectangle with the three given vertices?

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39) What are the coordinates of the fourth vertex of a square with the three given vertices?

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40) A jacket priced at $90 is on sale for 35% off. What is the sale price?

a.) $75.90

b.) $58.50

c.) $31.50

d.) $121.50

41) What is 1% of 2 billion? (Hint: 2 billion = 2,000,000,000)

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42) What is 1/2% of 2 billion?

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43) What is the highest possible number of defective light bulbs based on the estimate? (Recall: The executives estimated that 1% of the output was defective with a margin of error of 1/2%.)

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44) What is the lowest possible number of defective light bulbs based on the estimate? (Recall: The executives estimated that 1% of the output was defective with a margin of error of 1/2%.)

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45) What is the range in the number of light bulbs that could be defective based on the estimates calculated in the previous two problems?

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46) Which inequality best describes the answer in the previous problem where “x” represents the estimated number of light bulbs that could be defective?

a.) 10,000 < x < 20,000

b.) x > 30,000,000

c.) x < 10,000

d.) 10,000,000 < x < 30,000,000

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