| 1) Graph the given function on graph paper, and then determine which graph is correct.
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| 2) Solve by completing the square.
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| 3) Solve the equation by using the quadratic formula.
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| 4) For the quadratic function below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y = –2(x + 2)2 + 4
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| 5) Use the zeros to find the vertex of y = x2 – 8x + 20, and then write the vertex form of the equation.
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| 6) Solve (x – 4)2 – 25 = 0
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| 7) Simplify the rational expression and give any restrictions on the variable.
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| 8) What is the domain of the function?
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| 9) Evaluate.
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| 10) Multiply.
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| 11) Divide.
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| 12) Subtract.
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| 13) Add.
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| 14) Solve for “x.”
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| 15) Simplify and express the answer in simplest radical form.
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| 16) Simplify and express the answer in simplest radical form.
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| 17) Simplify and express the answer in simplest radical form.
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| 18) Solve.
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| 19) Use the Pythagorean Theorem to solve for “x” in the right triangle shown below. Round the answer to the nearest tenth.
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| 20) Samantha wants to purchase a new dress. She can buy it online for 15% off but she will have to pay shipping which is 9.95. She can purchase the same dress at a local store for full price but not have to pay shipping. What price makes the jacket less expensive to buy online?
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| 21) Tickets to the big game are $25 in advance and $35 at the door. Write an inequality that shows the goal is to earn at least $1000 in ticket sales.
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| 22) Graph the inequality from #21. You can do this by hand and scan it or you can use an online calculator and take a screenshot and attach the screenshot. If you want to use a free online graphing calculator, go to : https://www.desmos.com/calculator. |
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| 23) What is a complex number?
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| 24) Find the number and type of solutions for: 3x2 – 10x + 3 = 0
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| 25) Find the solutions for x2 + 3x + 3.
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| 26) Use the vertical line test to determine if the graph below is a function.
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| 27) Evaluate the function for g(–2).
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| 28) Samantha bakes cakes. She charges a flat fee of $50 when the order is placed. She then charges $2.50 per serving. Write a function rule that describes how much Samantha charges for a cake. Then, find the domain and range for this function.
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| 29) What is a transformation of a function?
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| 30) Given the parent function f (x) = x2, explain the translation of f (x) = (x – 3)2 + 5.
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| 31) Given the parent function f (x) = |x|, describe the translation of the function g(x) = 2|x| + 9 from the parent function.
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| 32) Given the ordered pairs in the table below, write the ordered pairs of the inverse function.
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| 33) Find the inverse of y = 3x – 1.
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| 34) Find the inverse of y = 5x
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| 35) Look at the graph below. Tell how the parent function f (x) = x2 has been transformed.
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| 36) Find the intersection points of the functions f (x) = 2x + 1 and g(x) = –4x + 13.
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Look at the graph below and answer the next 3 questions (37-39).
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| 37) State the x-intercept(s) and y-intercept(s) for the graph.
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| 38) State the interval where the function is negative.
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| 39) Describe the end behavior for this function.
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Use the graph below to answer questions 40-42.
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| 43) What type of relationship is illustrated in the scatter plot shown below?
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| 44) Determine whether a scatter plot of data regarding shoe size and grades might show a positive, negative, or no relationship, and explain your conclusion.
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| 45) Scott’s grandparents started a savings account for him when he was born. They invested $100 in an account that pays 8% interest compounded annually.
(a) Which expression will represent the amount of money in the account on his “xth” birthday? State the letter of the correct answer.
(b) How much money will be in the account on his 16th birthday? Round to nearest cent.
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| 46) What type of graph is illustrated below?
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| 47) Use the box-and-whisker plot shown below to determine the following:
(a) What is the median of the data?
(b) What is the value of the upper quartile?
(c) What is the least value in the set of data?
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| 48) Find the 17th and 26th terms in the following sequence.
50, 41, 32, 23, 14…
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| 49) Write the explicit formula for the sequence illustrated in the table.
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| 52) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form. |
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