Section 1: Relations and Functions (7.12) Second Semester SOL Review 1) What are the three ways to show a relation? First way: Second way: Third way: 2) Identify the Domain and the Range of the relation: {(5, -4), (-2, 3), (4, -1), (2, 6)} 3) Identify the Domain and the Range of the relation y x 4) Given the graph below, represent the relation in the two other ways. y second way: third way: x Determine whether each relation is a function for questions 5 through 9. Show all work and justify your answer. 5) Is the relation a function? Yes or No. (circle your choice) Why or why not?: y x
6) Yes or No (circle your choice) 7) Yes or No (circle your choice) 8) 9) {(-3,0),(6,-4),(5,0),(-2,-8)} x y -1 2 0 7 5-2 -1 4 3-8 Fill in the blanks with all, some, or no. 10) functions are relations. 11) relations are functions. Section 2: Linear Equations (7.12) 12) Graph the linear equation y x 5. 13) Find three solutions to the linear equation 2 y x 2. Then graph the linear equation. 3
14) Which ordered pair is a solution to the linear equation 3x 4y 6? a.) (2,0) b.) ( 2,3) c.) (2,3) d.) none of the above 15) Which graph represents the linear equation y 2x 3? a.) b.) c.) d.) 16) Which table of values represents the linear equation y 1 x 1? 2 a.) x y b.) x y c.) -2 3-2 -2 0 1 0-1 2-1 2 0 x y -2 0 0 1 2 2
Section 3: Transformations (7.8) 17) Translate the rectangle (4, -3) 18) Reflect the triangle over the y-axis. 19) Rotate the rectangle 90 degrees counterclockwise. 20) Rotate the triangle 90 degrees clockwise.
21) Rotate the rectangle 180 degrees. 22) Dilate the figure using a scale factor of 1 4. Section 4: Quadrilaterals (7.7) 23) Which shapes would describe the following shape? Circle all that apply a) Quadrilateral b) Parallelogram c) Trapezoid d) Rectangle e) Rhombus f) Square 24) Is a rectangle always a square? Justify your answer. 25) Is a square always a rhombus? Justify your answer. 26) lyssa drew a quadrilateral that has sides measuring 4 cm, 9 cm, 4 cm, and 9 cm. The angles are all right angles. What quadrilateral did lyssa draw? Include a drawing and justify your answer.
Section 5: Volume and Surface rea (7.5) 27) The girl scouts are filling boxes with different types of cookies for their annual sale. Their goal is to fill and sell 500 boxes. If each box is 5 cm wide, 11.2 cm long, and 18.5 cm tall, how much cardboard would be needed to make a box? 28) Steve made soup cans out of aluminum. The can he made has a height of 6.3 inches tall and a diameter of 3.7 inches. How much left over soup can be put into the can? 29) If you change one dimension in a rectangular prism, how does it affect the volume? 30) If you change one dimension in a rectangular prism, how does it affect the surface area? Section 6: Proportions (7.4) 31) The sonar system of a submarine receives an echo back from a ship 2,560 yards away after 2.3 seconds. It picks up an echo from a second ship after 7.1 seconds. Which proportions could be used to find the distance from the submarine to the second ship? (Circle all that apply) 2.3 7.1 2.3 x a.) b.) 2560 x 2560 7.1 c.) 7.1 2.3 d.) 2560 x 2560 x 2.3 7.1 32) You score 19 out of 27 on your last quiz. Find the percentage using proportional reasoning. 33) The model building is 1/25 the size of the actual house. The length of the model is 12.4 inches and the width of the model is 17.6 inches. What is the width of the actual building measured in feet? 34) The scale on a map is 1 inch: 30 miles. If the distance that a family travels is 450 miles, 2 how many inches on the map is this? Section 7: Consumer Math (7.4) 35) How much would you pay for a $23.99 shirt that is discounted 25% off? 36) How much tax would you pay on a $59 Xbox360 game with 5.5% sales tax? 37) How much would you save on a $65 cell phone that is marked down 15%? 38) What would be your total bill if your dinner was $36.15, you wanted to leave a 10% tip, and the tax rate is 5%?
Section 8: Similar Figures (7.6) 39) The two triangles are similar. State the corresponding sides and corresponding angles. 40) Determine whether the two triangles are similar. Justify your answer. 41) Suppose Seneca Ridge casts a shadow of 18 feet. t the same time, the light post casts a shadow of 12 feet. If Seneca Ridge is 10 feet tall, how tall is the light post? Section 9: Probability (7.9 & 7.10) 42) Using a dime, lyson predicts that she will flip tails on 25 out of 50 tries. Is this an example of theoretical or experimental probability? 43) Peter picked one bill at a time from a bag and replaced it. He repeated this process 100 times and recorded the results in the table below: Peter s Experiment Type of Bill Frequency One dollar bill 28 Five dollar bill 14 Ten dollar bill 56 Twenty dollar bill 2 Based on the table, which bill has an experimental probability of 7 25 of being chosen next?
44) You roll one die and spin a spinner. re the two events in this situation independent or dependent? 45) You draw a red card from a deck, do not replace it, then draw a blue card. re the two events in this situation independent or dependent? 46) You want to land on a 5 and an even when rolling a die. re these events mutually exclusive? 47) Use the table below. If one marble is randomly selected from the bag, what is the probability that it will be a blue or a red marble? Marble in a Bag Color Number Blue 7 Green 10 Yellow 14 Red 19 48) Using the table above, what is the probability of selecting a blue marble and then, without replacing the first marble, selecting a red marble? 49) You have a spinner divided into five equal sections: red, green, yellow, blue, and orange. You also have a 12-sided die. What is the probability of spinning a green on a spinner and rolling prime number? 50) sandwich shop uses the table below as its menu. Types of Bread Types of Meat Types of Cheese White Wheat Rye Italian Turkey Ham Teriyaki Chicken Meatballs Pastrami Bologna Swiss Provolone merican Cheddar How many different sandwich combinations are possible if you use one type of bread, one type of meat, and one type of cheese? 51) bicycle license plate requires three letters and one digit from 1-9. How many license plate combinations are possible? 52) Mike has sneakers or flip flops, 5 sweaters, and 3 pairs of jeans. How many possible outfits does he have?