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7th grade Math HonorsYou have 2 assignments. You may do them in any order and some parts of onemay help you with the other.You will need access to a calculator.Delta Math assignment will be a review of topics that we have covered in class.Some of the topics are more current than others.The 7H packet you were given in class for "Emergency Use Only" You candownload it here if necessary.We will go over this material when we return to school. You may contactMr. O'Brien via REMIND or email if you have any questions or concerns.Period 4 text @sobrien4a to 81010 to signup for RemindPeriod 6 text @sobrien6a to 81010 to signup for RemindPeriod 9 text @sobrien9a to 81010 to signup for Remind

[1] Shari has 2.35 in nickels and dimes. If she has a total of thirty two coins, how manyof each coin does she have?[2] The length of a rectangle is twice the width. If the length is increased by three and thewidth is decreased by two, the new rectangle has a perimeter of 86. Identify the variables.Then write an equation that can be used to find the length and the width of the new rectangle.Solve the equation![3] Find two consecutive integers such that the sum of the first and 3 times the second is 55.

[4] Find two consecutive even integers such that the sum of three times thesmaller and 4 times the larger is 92.[5] The width of rectangle is 5 less than 3 times the length. The of theperimeter of the rectangle is 102 centimeters. Find the dimensions of therectangle.[6] Two numbers are in the ratio 3:8. The difference of the numbers is 45.Find the two numbers.

[7] In Δ TRE the ratio of the measures of the three angles is 3:5:7. Find themeasure of the three angles.[8] Manny has 3.45 in quarters and dimes. The number of dimes he has is 3more than twice the number of quarters. Find the number he has of each coin.[9] Suppose you have a coin collection of dimes and nickels containing70 coins. If you have 6.05, how many of each type of coin do youhave?.

[10] The attendance at a ball game was 275 people. Adult tickets cost 8each and child tickets cost 3 each. If the 1,285 was collected in ticket sales,how many of each type of ticket were sold?[11] Ron bought 23 cent stamps, 25 cent stamps, and 40 cent stamps for 15.61. The number of 25 cent stamps was 9 more than the number of23 cent stamps. The number of 40 cent stamps was 5 less than twice thenumber of 23 cent stamps. How many of each kind did he buy?[12] The length of the second side of a triangle is 4 inches less than twice the firstside. The third side of the triangle is 13 inches more than the length of the firstside. The perimeter of the triangle is 101 inches. Find the length of each side ofthe triangle.

[13] Find three consecutive integers such that three times the second is 9more than the sum of the first and the third.[14] Kristin has 3.95 in nickel, dimes, and quarters in her coin bank. Thenumber of nickels is 4 more than twice the number of quarters. Thenumber of dimes is 6 more than the number of quarters. Find the numbershe has of each kind of coin.[15] The owner of a movie theater was counting the money from 1 day'sticket sales. He knew that a total of 180 tickets were sold. Adult tickets cost 6.25 each and children's tickets cost 3.75 each. If the total receipts for theday were 832.50, how many of each kind were sold?[16] Mario buys 12 t shirts for 78. White t shirts cost 5 each andblack t shirts cost 7 each. How many of each type did he buy?.

Inequality Word Problems.

Inequality Word Problems.

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3. The seventh grade class is putting on a variety show to raise money.It cost 700 to rent the banquet hall that they are going to use. If theycharge 15 for each ticket, how many tickets will the need to sell inorder to raise at least 1,000?(Hint: First set up an inequality)Example:The cost of renting a car is 25 per day plus a one time feeof 75.50 for insurance. How many days can the car berented if the total cost is to be no more than 525?a) Write an inequality to model the situation.Let x b) Solve the inequality.c) Graph the solution.13 1415161718

[1] Mr. Young plans to fence in his pool. It needs to have a rectangular shape and a perimeterof at least 190 feet. To have it look nice around the pool the length must be 11 feet morethan twice the width. Write an inequality to find the dimensions of the rectangle to thenearest foot with the smallest perimeter with at least 190 feet of fence.[2] Tiana is having a graduation party. She has at most 450 to spend. She has already boughtdrinks for 67.29. She will buy sandwiches that cost 4.25 each. Write and solve aninequality to show how many sandwiches she can buy. Show your work and interpretyour solution.[3] A tank filled with 800 gallons of water is losing 6 gallons of water per minute. Howlong will it take before the tank to has less than 200 gallons of water?[4] To cater a brunch, Applebees charges a 130 setup fee plus 12.50 per person.The cost of the end of the season baseball party is at most 1500. What is themaximum amount of people that can attend the baseball party?.

Types of anglesAcute angle an angle that measures less than 90 Right angle an angle that measures exactly 90 Obtuse angle an angle that is greater than 90 and less than 180 .Straight angle an angle that measures exactly 180 Complementary angles two angles that add up to 90 35 55 The angles can be connected to form a right angle or just two angles whosesum is 90 Supplementary angles two angles that add up to 180 65 115 The angles can be connected to form a straight angle or just twoangles whose sum is 180 Vertical angles are two angles that are opposite each other and are congruent.A Bbecause they are vertical angles1ABA is vertical toB because it is across from it.21 because they are vertical angles21 is vertical to2 because it is across from it.Adjacent angles: Are any two angles that are next to each other.

How to name angles:Angles can be named in a number of different ways, but will usuallybe described with three letters where the middle letter is the vertex ofthe angle.AThe way to read this angle would beABC orCBABCVertex of the angle1In this example you can name the angle usingthe number inside the angle and you wouldread this1 and22GDEHFIn this diagram when two lines intersect each otherit is important to use the right letters whendescribing an angle. The GEH is the onehighlighted here.

Pairs of Angles[1] What type of angles are shown below? Explain how you know what type ofangles are shown below.[2] What type of angles are shown below? Explain how you know what type ofangles are shown below.[3] What type of angles are shown below? Explain how you know what type ofangles are shown below.[4] What type of angles are shown below? Explain how you know what type ofangles are shown below.

[5] Name the angles in the diagram below.AMBN[6] Name the angles in the diagram below.WXYZ[7] Name the angles in the diagram below.PQRS[8] Name all the angles in the diagram below.HLJGK

Working with Pairs of Angles[1] What type of angles are shown here? Explain how you can find thevalue of angle x.54 x[2] What type of angles are shown here. Explain how you can find thevalue of angle y.y112 [3] What angle is congruent tocongruent to FEM.FFEM? Explain how you know that it isJERM[4] What type of angles are shown here? Explain how to find the value ofangle x and the value of angle y.y x 148

[5] EMA is vertical toTYL. If the measure ofis the measure ofTYL?EMA is 74 , what[6]ABC is complementary towhat is the measure ofCBS?CBS. If the measure ofABC is 24 ,[7]DEF is supplementary towhat is the measure ofFEK?FEK. If the measure ofDEF is 123 ,[8]BIN is vertical tothe measure ofSIP?.SIP. If the measure ofBIN is 114 , what is

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[1] What type of angles are shown here? Explain how you can find the valueof angle x. Then find the value of x.43 x[2] What type of angles are shown here? Explain how you can find the valueof y. Then find the value of y.109 y[3] What angle is congruent tocongruent toSAD.SSAD? Explain how you know that isJARD[4] What type of angles are shown here? Explain how to find the valueof angle x and the value of angle y.x y 52

Angle Problems and Solving Equations 2In a complete sentence, describe the angle relationship in the diagram. Write an equation for theangle relationship shown in the figure and solve for x.CD and EF are intersecting lines. In a complete sentence, describe the angle relationship in thediagram. Write an equation for the angle relationship in the figure and solve for y.In a complete sentence, describe the angle relationship in the diagram. Write an equation for theangle relationship shown in the figure and solve for b.

The following figure shows three lines intersecting at a point. In a complete sentence, describethe angle relationship shown in the diagram. Write an equation for the angle relationship shownin the figure and solve for z.Write an equation for the angle relationship shown in the figure and solve for x. In a completesentence, describe the angle relationship in the diagram. Find the measurements ofEPB andCPA.Example 1The following figure shows three lines intersecting at a point. In a complete sentence, describethe angle relationship in the diagram. Write an equation for the angle relationship shown in thefigure and solve for x.

Exercise 1The following figure shows four lines intersecting at a point. In a complete sentence, describe theangle relationship in the diagram. Write an equation for the angle relationship shown in the figureand solve for x and y.Example 2In a complete sentence, describe the angle relationship in the diagram. You may label the diagramto help describe the angle relationships. Write an equation for the angle relationship shown in thefigure and solve for x.Exercise 2In a complete sentence, describe the angle relationship in the diagram. Write an equation for theangle relationship shown in the figure and solve for x and y.

Example 3In a complete sentence, describe the angle relationship in the diagram. Write an equation for theangle relationship in the figure and solve for x. Find the measures ofJAH andGAF.Exercise 3In a complete sentence, describe the angle relationship in the diagram. Write an equation for theangle relationship in the figure and solve for x. Find the measure ofLKM represented by 5x.

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Problem SetIdentify the angle relationship. Write an equation for the angle relationship(s) shown in the figure, andsolve for the unknown angle(s).

Homework:What is the value of x in the diagram?[1](4x 27) (3x) [2]What is the value of x in the diagram?(3x 79) y (9x 5) What is the measure of the two vertical angles?What is the measure of angle y?[3](3x 12) CWhat is the value of x in the diagram to the left?A(10x 79) BDWhat is the m.ABC?

[4]In the diagram below, ABD isvertical to CBE. What is the valueof x in the diagram, and what is themeasure of CBE?A(8x 27) BDC(3x 38) E[5]Identify the type of angleshere. What is the value of x inthe diagram to the left?A(11x 15) (7x 29) What is the m[6]Identify the type of angles then solve for x inthe diagram to the left.(5x 38) B(8x 25) Find the measure of angle B.A?

[7] In a complete sentence, describe the angle relationship in the diagram. Write an equation forthe angle relationship shown in the figure and solve for x.23 x [8]CD and EF are intersecting lines. In a complete sentence, describe the angle relationship in thediagram. Write an equation for the angle relationship in the figure and solve for y.153 57 [9] The following figure shows three lines intersecting at a point. In a complete sentence,describe the angle relationship in the diagram. Write an equation for the anglerelationship shown in the figure and solve for x.64 78 .78

Complementary, Supplementary, and Vertical Angle Examples1)What is the value of x in the diagram tothe left?3x 27 2)What is the value of x in the diagram to theleft?(6x) (2x 14) 3)(2x 5) A(5x 8) BIf angle A and angle B arecomplementary, find the value ofangle A.