Meet 3 Event A

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1 Meet 3 Event A No calculators allowed. (Use number line) Graph the solution set of x on the number line. 2x + > 7 2. Simplify (a 7b + 0.5) a 3. Simplify. Write your answer using only positive exponents. (a 4 b 4 2b 3 ) 2 day Miranda did yard work from 0:35 a.m. until 3:5 p.m. What fraction of a day did Miranda spend doing yard work? 5. GBP A. $ 5B. International Ian is cleaning out his many travel bags. He found some money in each of three suitcases, however the money in each one is of a different currency. Ian found 0 Euros (EUR) in Suitcase X. Ian found 8 British Pounds (GBP) in Suitcase Y. Ian found 90 Indian Rupees (INR) in Suitcase Z. Use the currency exchange chart below to answer the questions. A. How much money is in Suitcase Z, in terms of British Pounds (GBP)? B. Ian exchanges the money from all three suitcases for US Dollars (USD). How many US Dollars should he expect to receive? USD (US Dollar) Currency Exchange Rates EUR (Euro) GBP (British Pound) INR (Indian Rupee) USD EUR GBP INR Name School

2 Meet 3 Event A Answers. (See number line). Note: Some students may show response a little differently. For full credit, students must: Show an OPEN circle at 3. Indicate that everything to the RIGHT of 3 is shaded or included in the solution set. 0.75a b *Order of terms does not matter 2 3.5a b a = a b 3. 4a 8 b 4 (a 4 b 4 2b 3 ) 2 = ( 2a 4 b 7 ) 2 = ( 2a 4 b 7 ) 2 = 4a 8 b day 0:35 3:5 = 4 hours 40 minutes = 4/3 hours = GBP A. $ 5B * point for A *3 points for B 0.0 GBP 90 INR = 9. GBP INR 0.89 GBP X: 0 EUR = 8. 9 GBP EUR Y: 8 GBP Z: 9. GBP = 26 GBP; 26 GBP.24 USD GBP = USD

3 Meet 3 Event B No calculators allowed. Evaluate. (3 2 ) x = Solve for both values of x. x = 2 3 x2 = 5 3. x = y = The diagram shows a rectangle that has been partitioned by two line segments. Find the values of x and y. In a library storage closet: Each bookcase has 6 shelves. Each shelf has 0 boxes. Each box has 25 books. There are a total of 30 shelves. What is the ratio of bookcases to books in the library storage closet? 5. The graph shows the solution set of x. Write an absolute value inequality to represent the graph. Name School

4 Meet 3 Event B Answers (3 2 ) = = (8 8) 000 = = x = -3 x = 3 *No partial credit. **Order does not matter. 5 3 x2 = 5; x 2 = 9; x = 3, 3 3. x = = 52 y = 80 (80 ( )) = 77 y = 77 *2 points per response x = :500 to shelves bookcase = 5 bookcases 6 shelves 0 boxes 25 books 30 shelves = 7500 books 5 = shelf box x 3 5. > x >.25

5 Meet 3 Team Event Questions are worth 4 points each. No calculators allowed. Simplify. (a 3 b 4 ) c a 2 2. x = Solve for x. 4 5 (3x + ) = 5 x 9 3. Brad purchases a.5-gallon tub of coleslaw from the deli. He packs the coleslaw into three - quart containers and two -pint containers. Then he packs the remaining coleslaw into -cup containers until it is all gone. How many -cup containers did Brad fill with coleslaw? Solve for x ( 2x + 5) > The time on an analog clock is 4:30. What is the measure of the angle formed by the hour hand and the minute hand at 4:30? 6. Divide. Write your answer in scientific notation. ( ) 50, Simplify. Write your answer using only positive exponents. 2 3 ( 4 a 3 ) 2 8. yd Benjamin s robot travels at a pace of 3. feet per second. How many yards does his robot travel in 0 minutes? 9. Angles P and Q are complementary. The measure of angle P can be expressed as (5x + ). The measure of angle Q can be expressed as (8x 2). How many times greater is the measure of angle Q than the measure of angle P? 0. (Use number line) Graph the solution set of x on the number line. x + 2x 3 Name School

6 Meet 3 Team Event Answers a 3c+2 b 4c. (a 3 b 4 ) c a 2 = a 3c b 4c a 2 = a 3c+2 b 4c 2. x = 4/ x 4 5 = 5 x 9; x = ; x = gallons = 6 quarts; 6 quarts 3 quarts = 3 quarts 3 quarts = 6 pints; 6 pints 2 pints = 4 pints 4 pints = 8 cups x < -.5 x < -½, x < -23/2 2 8x + 20 > 00; 8 8x > 00; 8x > 92; x < ( ) (5 0 4 ) = = a ( 4 a 3 ) 2 = 2 ( 3 6 a 6 ) = 24a yd ft sec 60 sec yd 86 yd = min 3 ft 3 min 62 yd 62 yd = ; 0 min = 620 yards min min.5 9. (5x + ) + (8x 2) = 90; 3x = 90; 3x = 9; x = 7 P: 5(7) + = 36 3/2, ½ Q: 8(7) 2 = 54 52/36 =.5 0. (See number line) 2x x + AND 2x 3 2x x + OR 2x -x AND 2x 3 AND 2x -3 x 2 OR x 0 Note: AND x 2 AND x - Some students may show response a little differently. For full credit, students must: Show CLOSED points at -, 0, and 2. Indicate that everything BETWEEN - and 0 is shaded or included in the solution set.

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