Team 6B - End of Year Celebration



7-9.?Adam earns $36 for every four hours of work.? If he continues to be paid at the same?rate:?Help (Html5)?Help (Java)How long will it take him to earn $144?? Show and explain your reasoning.?How long will it take him to earn $222?? Show and explain your reasoning.?How could you describe his rate for a 40-hour work week?? For a 7-hour day?? Show and explain your reasoning.?7-10.?A college has a 2:3 ratio of men to women in its student body. ?Help (Html5)?Help (Java)right0 What is the ratio of women to men?? What is the ratio of women to total students??What percent of the college is men??What fraction of the college is women??7-11.?For each of the following multiplication problems, first estimate the product.? Then check your estimation by multiplying.??Help (Html5)?Help (Java)7-12.?Kip and Jordan are brothers.? Their dad measures them once a year by drawing a line on a doorframe in their house.??Help (Html5)?Help (Java)Kip grew from 42?inches to 48?inches.? How much did he grow last year?Jordan was 40?inches and grew 5?inches.? How tall is he now?Which boy grew more last year?7-13.?Draw a rectangle with an area of 22 square units.? Find the perimeter of the rectangle.? Label the length and width of the rectangle.??Help (Html5)?Help (Java)7-19.?Beth and Amy are racing to see who can ride a tricycle the fastest.??Help (Html5)?Help (Java)Time (sec)5101520Distance (ft)11223344Graph the data about Beth’s travel that is recorded in the table above.What is Beth’s rate of travel?If Amy travels at a rate of 75 feet per 30 seconds, would the line representing her distance and time be steeper or less steep than the graph of Beth’s rate?? Explain your reasoning.?7-20.?The area of the rectangle below is??square inches. Find the perimeter. Show your work.??Help (Html5)?Help (Java)7-21.?Complete the Representations of a Portions web for each of the following portions. ?Show your work so that a team member could understand your process.??Help (Html5)?Help (Java)a. ?b.0.7?c. 16%?2.45?7-22.?Simplify the expressions below.??Help (Html5)?Help (Java)4 · 4 + 4(5 ? 2) + 77 ? 9 ÷ 9 + 4(4 ? 3) ? 7?12 + 3(7 ? 4) + 53(15 ? 2 · 6) ? 57-23.?Calculate each of the following products.??Help (Html5)?Help (Java)·12% of 32.8(27.4)(0.02)2·7-30.?Which company offers the lowest unit rate per minute?? Show how you decided.??Help (Html5)?Help (Java)CompanyPrice# of minutesAB & C$19.95100Berizon$24.95150Cinguling$9.9560DWest$14.7510046012102317757-31.?The graph at right shows the cost per pound of?strawberries at four different stores.??Help (Html5)?Help (Java)At which store are strawberries about $2?per pound?What is the rate of cost of strawberries at?store B?Which store has the most expensive strawberries?? How can you tell?7-32.?Find the perimeter and area of each triangle below.??Help (Html5)?Help (Java)7-33.?Arrange these numbers from greatest to least.??Help (Html5)?Help (Java)7-34.?Compute each sum or difference.??Help (Html5)?Help (Java)A. 7-44.?Draw rectangles to represent each integer, then divide them into the fractional parts indicated in the problem.? Part (a) is done as an example.??Help (Html5)?Help (Java)How many one-thirds are in 3?? That is, what is 3 ÷??How many one-fourths are in 5?? That is, what is 5 ÷??How many one-sixths are in 3?? That is, what is 3 ÷??How many one-fifths are in 6?? That is, what is 6 ÷??7-45.?Describe how each of the following multipliers would change the dimensions of a photograph.??Help (Html5)?Help (Java)7-46.?On graph paper, draw your own small design.? Use only horizontal and vertical line segments for the sides that lie on the paper’s grid lines.? Then draw an enlargement and reduction as described in parts (a) and (b) below.??Help (Html5)?Help (Java)A. Enlarge your design so that the ratio of lengths of sides is?.Reduce your design so that the ratio of the lengths of sides is 1:2.7-47.?Find the area and perimeter of each figure below.??Help (Html5)?Help (Java)7-48.?For each of the generic rectangles below:Write the two numbers that are being multiplied.? (They are the length and width of the rectangle.)Predict the size of the product before calculating and be ready to explain your thinking.Copy the rectangle on your paper and use it to multiply the given pare the exact answer with your prediction.? How close did you get???Help (Html5)?Help (Java)7-52.?Simplify each of the following expressions.??Help (Html5)?Help (Java)7-53.?Calculate each of the following products.??Help (Html5)?Help (Java)a. b.What do the products in parts (a) through (d) have in common?7-54.?Find the area of the shape below in at least two ways.??Help (Html5)?Help (Java)7-55.?Maia was serving five pizzas at the weekly meeting of the student council.? She wanted to divide the pizzas into slices that were each??of a whole pizza.?Help (Html5)?Help (Java)a. How many slices will she have?Represent this problem using a mathematical sentence.? Can you find more than one way to do this?7-56.?Calculate each of the following products without using a calculator.??Help (Html5)?Help (Java)(3.1)(0.02)?7-64. Without using a calculator, find the following quotients.??Help (Html5)?Help (Java)8.06 ÷ 2.487-65.Find the multiplicate inverse of each of the following numbers.? Refer to the Math Notes box in this lesson for help.??Help (Html5)?Help (Java)a.b.c.1.50.257-66. A Giant One lets you change a decimal division problem into a whole-number division problem.? Copy the example below and complete the other problems in the same way.??Help (Html5)?Help (Java)?Decimal Division ProblemMultiply by Giant OneWhole Number Division ProblemAnswerExample10???????8.2 ÷ 0.4???0.02 ÷ 0.005????10.05 ÷ 0.25????7-67. This problem is a checkpoint for mutliplying fractions and decimals. It will be referred to as Checkpoint 7A.Multiply each pair of fractions or each pair of decimals. Simplify if possible.??Help (Html5)?Help (Java)2.71 · 4.50.35 · 0.0007Check your answers by referring to the?Checkpoint 7A materials.???If you needed help solving these problems correctly, then you need more practice.? Review the Checkpoint 7A materials and try the practice problems.? Also consider getting help outside of class time.? From this point on, you will be expected to solve problems like this one quickly and easily.?7-68. The graph at right displays gas mileage for a new car.??Help (Html5)?Help (Java)Use the graph to predict the number of miles the car could travel with three gallons of?gas.?Use the graph to predict the number of miles the car could travel with five gallons of?gas.?7-74.?Simplify each of the following expressions by using one of the strategies in the Math Notes box for this lesson.??Help (Html5)?Help (Java)7-75.?Jamie has 9 gallons of paint that she needs to pour into containers that hold 0.75?gallon.? How many containers will she need???Help (Html5)?Help (Java)55473604070357-76.?John and Dave are building a rectangular pen next to the?barn?for their goat, Ginny.? They plan to use one 60-foot wall of the barn as part of the pen, so they only need to build the remaining three sides. ?They want the width of the pen to be half of the length.? How much fencing will they need to complete Ginny’s pen?? Can you find more than one answer???Help (Html5)?Help (Java)7-77.?Name the coordinates of each point in the form (x,?y).??Help (Html5)?Help (Java)?51009551466857-78. Assume that each of the shaded tiles in the large rectangle at right has an area of 1 square foot.? Use?this?information to answer the following questions.??Help (Html5)?Help (Java)a.What is the total area of all of the shaded tiles?b. What is the total area of the rectangle that is not?shaded??\7-86.?Recall that inverse operations “undo” each other.? Write the inverse operation for each situation below.??Help (Html5)?Help (Java)Add?Subtract 1Divide by 8Multiply by 127-87.?Draw the table below on your paper and look carefully at the algebra tiles to fill in each of the steps.? Use your own numbers in the trials, again considering fractions, decimals, and zero.??Help (Html5)?Help (Java)StepsTrial 1Trial 2Trial 3Algebra Tile Picture1.? Pick a number???2.? Add ____????????3.? Multiply by ____??????????????????4.? Subtract ____?????????????????5.? Divide by ____???????6.? Subtract the original number?????????????????????7-88.?On graph paper, draw a rectangle with a width of 5 units and a length of 7 units.??Help (Html5)?Help (Java)a.Draw a new rectangle that is an enlarged copy of your original rectangle and has a length of 13 units.?b.Show how you can calculate the width of your new rectangle.?7-89.?Kate has five sandwiches to share with three of her friends.? If each person gets the same amount of sandwich, how much will each person get???Help (Html5)?Help (Java)7-90.?Find the area and perimeter of each figure below.??Help (Html5)?Help (Java)a.b.7-96.?On your paper, copy the chart below.? Then complete two trials by reading the algebraic expressions.? Write in the steps.??Help (Html5)?Help (Java)StepsTrial 1Trial 2Variable Expression ?1.???x2.???6x3.??6x?+ 244.???6x?+ 185.???x?+ 36.??37-97.?Translate each of these situations into a variable expression such as those found in a magic number chart.??Help (Html5)?Help (Java)Pick a number and multiply it by 7.Pick?a number and divide it by 8.4918075300355Pick?a number and reduce it by 10.Pick?a number, add 2, then multiply by 5.7-98.?Complete the web at right to represent 0.33 as a percent, as a fraction, and in words.??Help (Html5)?Help (Java)7-99.?Simplify each of the following expressions.??Help (Html5)?Help (Java)a.b.c.45 ? 2(6 + 4 · 3)7-100.?Simplify each of the following expressions.??Help (Html5)?Help (Java)a.b.c.7-107.?Identify the terms, coefficients, constant terms, and factors in each expression below.??Help (Html5)?Help (Java)3x2?+ (?4x) + 13(2x?? 1) + 27-108.?Answer each of the questions below.??Help (Html5)?Help (Java)a.How many fourths are in 4?? Use your answer to rewrite 4?in the form?.b.How many thirds are in 3?? Use your answer to rewrite 3?in the form?.7-109.?This problem is a checkpoint for area and perimeter of polygons.? It will be referred to as Checkpoint 7B.?For each figure below, find the area and the perimeter.??Help (Html5)?Help (Java)a.b.Check your answers by referring to the?Checkpoint 7B materials.If you needed help solving these problems correctly, then you need more practice.? Review the Checkpoint 7B materials and try the practice problems.? Also consider getting help outside of class time.? From this point on, you will be expected to solve problems like this one quickly and easily.?7-110.?Jeanine earns $5.00 an hour babysitting her neighbor’s three children.??Help (Html5)?Help (Java)a.How much will Jeanine earn if she starts at 7:30 p.m. and ends at?12:30 a.m.???b.How much will she earn if she starts at 10:30 a.m. and ends at 2:00 p.m.??c.One day, Jeanine earned $37.50.? How many hours did she work??7-111.?Write the following description as an?expressions in two ways, one with parentheses and one without.? For example, 4(x?+ 3)?can also be written 4x?+ 12.?Help (Html5)?Help (Java)a.Pick a numberb.Multiply by 7.c.Subtract 15.d.Multiply by 27-121.?Write an equation for the problem below, and solve it.? Be sure to define your variable.??Help (Html5)?Help (Java)The regular price of your favorite jeans has been reduced by $18.? They are now on sale for $26.? What was the regular price??7-122.?Rewrite each expression below using the Distributive Property.??Help (Html5)?Help (Java)5(2x?+ 1)34(x??1)9(x?+ 3)7-123.?ELEVATOR CHALLENGEJuan got on an elevator at the middle floor of a building, went up 4 floors, down 3?floors, up 1 floor, and down 9 floors, where he left the elevator on the ground floor.??Help (Html5)?Help (Java)How many floors are in the building??Explain how you found the number of floors.?7-124.?Each of the following pairs of diagrams shows a first and second step that could be used to represent a multiplication problem.? For each pair, write a multiplication problem and its solution.??Help (Html5)?Help (Java)7-125.?Ms. Jancsi bought a new package of border decoration to put around the bulletin board in her classroom.? The package contains 300 inches of border.? The dimensions of the rectangular bulletin board are 8 feet by 3 feet.? If she puts the border around all four sides of the bulletin board, how much leftover bulletin material will she have?? Include a labeled sketch in your answer.??Help (Html5)?Help (Java)7-126.?Write an inequality for the problem below, and solve it.? Show your solutions on a number line. ?Be sure to define your variable.??Help (Html5)?Help (Java)Western Air Lines will allow you to fly with suitcases that weigh no more than 50 pounds.? If your suitcase weighs 8 pounds and the schoolbooks you need to bring on your trip weigh 11 pounds, how many pounds of clothes and other items can you pack???7-127.?Write an equation for the problem below, and solve it.? Be sure to define your variable.??Help (Html5)?Help (Java)You want to buy a new computer that costs $2250.? You check your savings-account balance and realize that to buy the computer, you will need $125 more than what you have in your savings account.? How much money do you have in your savings account?7-128.?Use a Giant One to change each of the following fractions to a number with a denominator of 100.? Then write each portion as a percent.??Help (Html5)?Help (Java)A b.7-129.?Maria was putting together party favors for her niece’s birthday party.? She put three small chocolate candies and four hard candies into each bag.??Help (Html5)?Help (Java)A. If Maria had 10 bags, how many candies did she use in all??b.To represent the total number of candies in 10 bags, you would write the expression??10(3 + 4).? What expression would you write to represent the total number of candies used if Maria had to make 12 bags for party favors??7-130.?Use a generic rectangle to multiply (467)(392).??Help (Html5)?Help (Java) ................
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