The Od-1ashIoned WaY Old-time soda jerks had some strange names for the treat they served. Listed are ten of those names, To translate each old-time p

Transcription

1 Liberty and Roosevelt Middle Schools Grade 7 Summer Mathematics Activity Book Answer Key Summer 2015

2 The Od-1ashIoned WaY Old-time soda jerks had some strange names for the treat they served. Listed are ten of those names, To translate each old-time phrase into modern-day prose, change each fraction to a decimal, then match that decimal by drawing to the modern phrase. Old-Time Phrase Modern Phrase Suds in the Air S 0.6 Glass of Root Beer One on the City 3 Two Orders of Strawberry Ice Cream Chocolate Malted with Chocolate Ice Cream M.D. on Wheels Banana Split Pair of Patches Large Scoop of Chocolate Ice Cream Sinkers and Suds Coffee and Donuts House Boat Bucket of Mud _-0.13 Chocolate Malted with an Egg in it Twist it, Choke it 2 is.75 Glass of Water Stretch One and Hold Large Coke without Ice

3 Do ou Know your hapes?? Match each geometry term with its picture. Cone Trapezoid Square Pyramid Cylinder Triangular Prism Rectangular Prism Cube Parallelogram Rhombus Review the information about the perimeter and area in the box below, Then solve each problem. 10. A tabletop is shaped like a right triangle with abase of 35 inches and a depth of 40 inches. What is the area of the tabletop? L / Finding Perimeter and Area Perimeter of Rectangle 2 * Length + 2 * Width Area of Rectangle Length Width i, * 11. Cesar has a new desk that is 18 inches long and 12 inches wide. What is the area of Cesar's Desk? 2 ; \ q- (*\ C. S 12. How many feet of fencing will Mr. Stanley need to fence a school yard 90 feet long and 60 feet wide? C) h C

4 Which 4rg(e am I?? Use the chart below to help you identify the angles illustrated. Acute An angle measuring between 0 and 90 degrees..iflpl Obtuse An angle measuring between 90 and 180 degrees. Right An angle measuring exactly 90 Straight An angle of 180 degrees , 5, 6. L fl

5 ?atterns,?atterr)s,?atterr)s Examine each pattern to find the next term , 112,56,28, /H 2. 11,24,37,50, 5, 9, 17, 33, 65, , 47, 45, 42, 38, 33, 1, 1,2,3,5, 8, 13, 21,

6 Operations on Decimals Simplify the following. 1) 237, ) ) , )1.80 * ) 0.02 K ) co 7) 64.6^19 8) 26.88^4 9) ^ 0.4

7 FractJor Mania Solve the fraction and mixed number problems below Always work careftily and pat attention to the signs. Reduce answers to the lowest terms. Show your work. 2 ( x L

8 nders-tandirg?ercents Fill in the missing percent, fraction, or decimal in the chart below. The first row is completed for you. Percent Fraction Decimal 2% / o/ lq / % % 14 \ /o 3% % % ) / Th 0.43

9 Problem o(ving with percents Solve each percent problem. 1. The sales tax on the purchase of a refrigerator that costs $695 is 7 percent. What is the amount of the sales tax? ckq3 \ O>( 2. A stove that costs $695 will be on sale next week for 38 percent off its regular price. What is the amount of savings? \ o In math class, 60 percent of the students are males. There are 30 students in the class. How many students are rnalces? 3D ox. 4. East Side Middle School has 1, 500 students. Thirty-two percent of them are in sixth grade. How many sixth-grade students are there? BoO 5. Lauren is saving for gymnastics camp. Camp costs $225 to attend. She has 40 percent of the money saved. I-low much money has she saved? A U ITh- \ L) J1:)C'-lXA :C

10 Adding 'ub-ractirg ntegers Rules for Adding Integers: The sum of any two positive integers is a positive integer. The sum of any two negative integers is a negative integer. The sum of two integers with opposite signs is found by subtracting the digit of lesser value from the integer of greater value and keeping the sign of the greater number. Rules for Subtracting Integers: A positive integer subtracted from a larger positive integer remains a positive integer. When subtracting a positive integer from another positive integer of lesser value, the difference is always a negative integer. o When subtracting a negative integer from either a positive or a negative integer, first change the two negative signs to a positive sing and then simplify. o A positive integer subtracted from a negative integer will result in a negative integer. Using the rules above, simplify each expression (-5) 2. 1O+(-10)+6 3, (-1)+2 S. 7+(-3) (-4)+3 H (-12) 8. 6-(-3) , 4-(-6) /

11 Multiplying Dividing Integers Study the equations below. Write the rule that applies to the equation on the line. The first one is done for you. 1. 3*(4) 2. 3*4= *1=3 4. 3*(4)= ^-3= ^3=-S 7. 15^-3= ^3=5 Negative X Negative Positive - c/ \J1. Solve the equations below. Refer to the rules above, if necessary *12= 7. -l6s= * (5) = 9. 20(-4)= * 0 = -35= (-2)= * (-10) = 14. 3(0)= ^(-14)= 16-45^(-5)= ^9= C; 19. 0^(-2)=

12 pplications of rtegers Solve each problem. Show your work and draw a box around your answer. A scuba diver is 72 feet below sea level. As the diver rises, he stops every 15 feet. What integer tells his depth after the first pause? -. * /5 - -5/ e- b(o ecl 2. The temperature in Atlanta on the coldest night of the year was 9 degrees Fahrenheit at 10:00 PM and had dropped to -2 degrees Fahrenheit by 7:00 AM. How many degrees did the temperature drop? H c ç) pc dc 3. John's scores for a weekend where he played 4 rounds of golf were +3, -2, +3, and -2. If par is represented as a score of 0, how far above or below 0 is his 4 round score? During last week's football game, Freddy ran with the ball six times. On three of the runs, he gained 5 yards each. However, he lost 4 yards on each of the other three runs. Overall, did Freddy gain or lose yards? How many? H \ -Lt - L4 H

13 Can YOU Find MY SUrfaCe?? A rectangular prism has six faces. To find the surface area of a rectangular prism, you must calculate the sum of all the faces, or surfaces, of the solid. The surface area of a rectangular prism can be found using this formula: Surface Area (2 ' L * W) + (2 * L * H) + (2 * W * H). Example: 9 in SA= (2*9*3) + (2*9*12) + (2*3 * 12) SA= SA 342 square inches Calculate the surface area of each of the following examples. 1. A cube whose edges are 4 inches. c. c' t\ * - C-, \ 2. A rectangular prism that is 3 in. by 5 in, by 2 in. SAn s SAn 3c *- \3 - S (S 5c(Q 3. A rectangular prism 50mm by 70mm by 100 mm. 5D 1 S k E' - (y\ CHALLENGE: If a rectangular prism is 5 in. wide and 10 in. high, and has a surface area of 280 square in., what is the prism's h1it? L \C) < r

14 raph icifi Ara1ysis part 1 Analyze each graph below and answer the questions associated with each graph. Mrs. Martin's homeroom and Mr. Lopez's homeroom had a canned food drive. The line graph shows how many cans were collected after each day. 1. On Monday, whose homeroom collected the most cans? 2. On Tuesday, how many cans did Mr. Lopez's homeroom collect? 3. On which day was the difference between the number of cans collected by each homeroom the greatest? 4. Which homeroom collected the most cans on that day? 5, Flow many cans were collected by both homerooms on Tuesday? /roy what day did Mrs. Martin's homeroom bring in the most cans? 7. One what day did Mr. Lopez's homeroom bring in the most cans? 8. On what day did Mrs. Martin's homeroom bring in the least number of cans? \c\co 9. On Wednesday, how many cans were collected by both homerooms? Aco \C3 10. How many cans were collected by both homerooms during the week? rç

15 Graphical AcflalYsis?ar-t 2 Analyze the graph below and answer the following questions. The Floral Shop received 40 orders in one day. The distribution is show in the circle graph to the right. Ord* t TIi Fkrcil Slop I. Which were the most popular flowers? n S 2. How many orders were for roses? 3. How many orders were for mums? 5 4. How many orders were for carnations? 5. How many orders were for daisies? 5 An order of roses costs $30, and order of daisies costs $18, and an order of mums costs $ How much money was raised from selling roses? 7. How much money was raised from selling daisies? 8. How much money was made from selling mums? 9. If the total amount of money made from selling flowers was $765, how much does an order of carnations cost? X J ci) r T\ \ Qr (yc C

16 Onscramble Equation o(ving Solve each equation and use the alphabet key to determine the letters needed to unscramble the hidden message. A=l B=2 C=3 D=4 E=5 F=6 j G=7 H=8 19 J=-1 K=-2 L=-3 M=-4 N=-5 O=-6 =-7 Q=-8 R=-9 S=0 T=-10 U10 V=11 [W=-ii X=12 j Y=12 Z=13 2) x = ) 0=-9+x 4) -20 = x ± (-10) 5) -12=-20+x 6) -13=-14+x 8) -21=-15+x 9) -35=x+(-40) Use your answers & the alphabet key to unscramble the hidden message. I \J AT

17 HeIpu( Resources The following website can be used to assist your child in completing the summer booklet. Khan Academy iw.kianacadg Purple Math lemath.com IXL National Council for Teachers of Mathematics (NCTM) Parent Resources htti :// Discovery Education htt ://www. Math, corn //