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All Textbook Solutions for High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9

For JKLandRST, find the value of each expression. cosRFor JKLandRST, find the value of each expression. sinRFor JKLandRST, find the value of each expression. tanRFor JKLandRST, find the value of each expression. sinLFor JKLandRST, find the value of each expression. cosTFind the value of each expression. Round to the nearest ten-thousandth. sin15Find the value of each expression. Round to the nearest ten-thousandth. tan45Find the value of each expression. Round to the nearest ten-thousandth. cos60Find the value of each expression. Round to the nearest ten-thousandth. tan72Find the value of each expression. Round to the nearest ten-thousandth. sin30Find the value of each expression. Round to the nearest ten-thousandth. cos80Find the value of each expression. Round to the nearest ten-thousandth. sin65Find the value of each expression. Round to the nearest ten-thousandth. cos12Find the value of each expression. Round to the nearest ten-thousandth. tan87Find the value of each expression. Round to the nearest ten-thousandth. tan24Find the value of each expression. Round to the nearest ten-thousandth. sin35Find the value of each expression. Round to the nearest ten-thousandth. cos38For each triangle, find the missing side length to the nearest tenth. The hypotenuse is 4 m long. How long is the side adjacent to a 40 angle?For each triangle, find the missing side length to the nearest tenth. A 25 angle has an opposite leg 6 cm long. How long is the adjacent leg?For each triangle, find the missing side length to the nearest tenth. A 32 angle has an adjacent leg 10 inches long. How long is the hypotenuse?For each triangle, find the missing side length to the nearest tenth. The hypotenuse is 20 mm long. How long is the side adjacent to a 15 angle?For each triangle, find the missing side length to the nearest tenth. A 60 angle has an adjacent leg 5 cm long. How long is the hypotenuse?For each triangle, find the missing side length to the nearest tenth. The hypotenuse is 13 inches long. How long is the side opposite a 50 angle?For each triangle, find the missing side length to the nearest tenth. A 5 angle has an opposite leg 2 ft long. How long is the adjacent leg?For each triangle, find the missing side length to the nearest tenth. The hypotenuse is 25 mm long. How long is the side adjacent a 70 angle?For each right triangle described, find all three angles to the nearest tenth. The hypotenuse is 8 ft long. Hie adjacent side is 5 ft long.For each right triangle described, find all three angles to the nearest tenth. The opposite side is 12 cm long. The adjacent side is 15 cm long.For each right triangle described, find all three angles to the nearest tenth. The hypotenuse is 6 inches long. The opposite side is 3 inches longFor each right triangle described, find all three angles to the nearest tenth. The adjacent side is 1 m long. The opposite side is 4 m long.For each right triangle described, find all three angles to the nearest tenth. The hypotenuse is 5 inches long. The opposite side is 2 inches Jong.For each right triangle described, find all three angles to the nearest tenth. The adjacent side is 16 mm long. The hypotenuse is 22 mm long.For each right triangle described, find all three angles to the nearest tenth. The hypotenuse is 4 m long. The opposite side is 2.5 m long.For each right triangle described, find all three angles to the nearest tenth. The opposite side is 7 inches long. The adjacent side is 11 inches long.Gayle stood at the edge of a 120-ft deep canyon. She is approximately 5 ft tall and when she looked across the canyon to the far corner, her line of sight made a 22 angle as shown in the figure. How wide was the canyon?A parallelogram has a height of 5 cm and side measures of 8 cm and 12 cm. What are the measures of the angles?Error Analysis A student was finding the measure of an angle. The opposite side measured 6 cm and the hypotenuse measured 13 cm. His work is shown in the box to the right. Describe and correct the students error.Solve each exercise and enter your answer on the grid provided. For ABC, what is the value of cos C?Solve each exercise and enter your answer on the grid provided. A right triangles hypotenuse is 20 cm long. What is the length of the side opposite a 60 angle? Give your answer to the nearest tenth of a centimeter.Solve each exercise and enter your answer on the grid provided. A right triangles legs are 3 and 4 meters long. What is the measure of the angle adjacent to the 4-meter leg to the nearest tenth of a degree?Solve each exercise and enter your answer on the grid provided. For AXYZ, what is the measure of the smallest angle to the nearest tenth of a degree?Solve each exercise and enter your answer on the grid provided. Suppose that you are watching the tree warden trim branches from a large tree in your yard. He has climbed up 15 meters and his assistant is holding a rope that will be used to guide the branch when it falls. To the nearest meter, how long is the rope?Simplify each expression. State any excluded values. 6p3618Simplify each expression. State any excluded values. q+1q+4q+3Simplify each expression. State any excluded values. 8b564b4Simplify each expression. State any excluded values. x+1x21Simplify each expression. State any excluded values. 56c1424c6Simplify each expression. State any excluded values. 3b6b24Simplify each expression. State any excluded values. x21443x236xSimplify each expression. State any excluded values. n2n12n24nSimplify each expression. State any excluded values. 3x2+19x14x249Simplify each expression. State any excluded values. 7d3+14d6d22dSimplify each expression. State any excluded values. 25y212115y33Simplify each expression. State any excluded values. 99q22q19q1The length of a rectangle is 3h+2 and the width is 9h+6. What is the ratio of its length to its width? Simplify your answer.The length of a rectangle is x2. Its area is 2x4. What is a simplified expression for the width?The area of a rectangle is x29. Its width is x3. What is a simplified expression for the length?Writing Why must the denominator of a rational expression not be equal to 0?The area of a rectangle is 16a2. The length is 2a. What is a simplified expression for the width?Are the given factors opposites? Explain 3d7;73d y+4;y+4 27+8x;278xThe ratio of the area of a small circle to a larger circle is 2x26x2. Simplify the expression.A pilot packed two rectangular suitcases for her trip to Hawaii. Both hold the same volume of clothes. Her green suitcase has a length of 2y+4, a width of y+1, and a height of 4y. Her blue suitcase has a length of 8y26y and a width of 2y. What is a simplified expression for the height of the blue suitcase? Show your work.The numerical area of a circle with radius c is equal to the numerical volume of a sphere with radius S. What is the radius of the sphere in terms of c? Show your work. (Area circle = r2. Volume sphere =43r3).Simplify each expression. State any excluded values. x292x26xSimplify each expression. State any excluded values. n2p2n2pSimplify each expression. State any excluded values. 2x2+17x9x281Simplify each expression. State any excluded values. 4d46d34d2d22dSimplify each expression. State any excluded values. 11y2+35y36y216Simplify each expression. State any excluded values. 6a5b+4ab3+3a4c+2b2c2ab+cYour brothers car is traveling 40mih faster than your car. During the time it takes you to go 150 mi, your brother goes 450 mi. Make a table with the information and find the speeds.For Exercises 1-4, choose the correct letter. What is the simplified form of x481x+3? Ax33x2+9x27Cx3+3x2+9x+27Bx2+9x29Dx3+3x29x27For Exercises 1-4, choose the correct letter. What is the simplified form of x2yz2xy2z2xyz2 Fxyz2xyzxG1xyz2Hx3y2z2Ix4y4zFor Exercises 1-4, choose the correct letter. What is the excluded value of the rational expression 2x+64x8? A. -3 B. -2 C. 0 D. 2For Exercises 1-4, choose the correct letter. What is the simplified form of x225x23x10? Fx3x5Gx5x+5x+5x3Hx+5x+2Ix5x+2When an object is free falling, the equation is d=16t2 where d is the distance in feet and f is the time in seconds. What happens to the distance d as t increases from 0 to 20? Draw the graph. Plot points for values of t between 0 and 20. ( d=16t2 is a quadratic equation. You can substitute y=16x2 to graph the equation.)Multiply. 2z4+5z3zMultiply. x9x+7xx6Multiply. 5w255w10ww225Multiply. 16u322u3u356u24Multiply. j2+11j4226j5239jj3Multiply. 15r18r2+9r273r3r2Multiply. 45q23q6q214q2+10q35q2+11q10Multiply. 4y+172y332y222y39Multiply. 12v2+18v84v4v249vMultiply. 10x27x+26x213x633x+7Which of the following is the reciprocal of x22x8? Ax+2x4B1x+2x4C1x8Find the reciprocal of each expression. x24x+18Find the reciprocal of each expression. 3q22q213Divide. 5y+73y+195y+7y6Divide. 25t23656i5i68iDivide. 12j362j+43j94j216Divide. 12x2+x1345x220x25x19x+5Divide. 72k2+29k219k292k776k1Simplify each complex fraction. 1+1x9Simplify each complex fraction. ab+1xb+3Simplify each complex fraction. 1a+ba1bA rectangular prism has a base area of 3x2+21x24 and a height of x33x33. What is the volume of the prism?Your friend runs for x2225 seconds at a rate of 12x30 meters per second. How far does your friend run?Writing How do you simplify a complex fraction?For Exercises 1-3, choose the correct letter. What is the quotient x2162x29x+42x2+14x+244x+4? A1x+3B2x+2x+3C2x+22x2+5x3D2x+12x25x3For Exercises 1-3, choose the correct letter. What is the simplified form for the product x+1x225x+5x2+8x+7? Fx+1x+5x+7H1x5x+7G1x+5x+7I1x5x7For Exercises 1-3, choose the correct letter. What are the coordinates of the x-intercepts of the graph of y=2x2+6x20? A5,0,2,0B5,0,2,0C4,0,10,0D4,0,10,0A football is kicked with an upward velocity of 25fts from a starting height of 0.5 ft. Use the formula h=16t2+vt+c, where h is the balls height at time t, y is the initial upward velocity, and c is the stalling height. What is the height when the time is 1 second? How does the height change as the time increases? What happens at 5 seconds?Divide. c2c1cDivide. j44j38j2j2Divide. 3p327p23p2Divide. 2m25m+22mDivide. 3b59b4+3b26b2Divide. 7x428x34x3Divide. 6t53t4+18t39t23tDivide. 104d8+64d786d6+96d52d4Divide. 27q4+51q39q23q2Divide. 1040r12500r11620r10+1600r9+r820r7Divide. 3u6105u5+147u43u3Divide. 11y26132y25+121y2411y24Divide. p2+3p+2p+1Divide. x2+7x+12x+4Divide. p25p36p+4Divide. 2q24q240q12Divide. 6x2+x13x1Divide. 20a2+2a42a+1Divide. 4t264t+4Divide. z29z3Divide. 3x2x3+x3x+1Divide. c416c2The area of a rectangle is x2x2 and the length of the rectangle is x+1. Find the width of the rectangle. Find the area of the rectangle if the width is 4 m.Divide. 28n217n34n3Divide. 2t28t+6t3Divide. 3c25c26c+2Divide. 3c25c23c+1Divide. 2j23j9j3Divide. 4j26j18j3Divide. 3x2+x3x+3x1Divide. 3x2x3+x3x+1Divide. 9d47293+dDivide. 3x2+6x3+x402+xFind the height of a trapezoid if the area of the trapezoid is 2x2+11x+5, the length of one base is x, and the length of the other base is x + 10, The formula for the area A of a trapezoid with height h and bases b1 and b2 is A=b1+b22hThe area of the rectangle is x49x37x28x+2, The length is given What is the width?Writing If the area of a rectangle is a polynomial and the length of one of the sides is a polynomial, can the measurement of the width of the rectangle be a polynomial quotient with a remainder? Explain.For Exercises 1-4, choose the correct letter. What is the remainder of x36x29x+3x3? A51B51x3C17xD17x3For Exercises 1-4, choose the correct letter. If the area of a rectangle is x29, can the length be x1? Yes; it divides perfectly. No; the length would be larger, Yes; but the width will have a remainder. No; the measurements of the rectangle must multiply and divide evenly.For Exercises 1-4, choose the correct letter. If a line passes through the points (2, 0) and (-2, -3), what is the y-intercept of the line? A32B32C34D34For Exercises 1-4, choose the correct letter. What coordinates satisfy the equation of the line y=78x+2? F8,11G4,112HbothFandGI4,112What are the factors of the expression x2+12x64? What number would you change to make it a perfect square? Explain.Add or subtract. 1a+1aAdd or subtract. 112y+272yAdd or subtract. mm+4+4m+4Add or subtract. t1tt+1tAdd or subtract. n1n+1n1Add or subtract. 1mm42m+1m+4Add or subtract. 2y3y8Add or subtract. 4x334xAdd or subtract. 2a+1a+a+22Find the LCM of each pair of expression. 6x;3Find the LCM of each pair of expression. 40x2y2;8y2Find the LCM of each pair of expression. 3a3;3Find the LCM of each pair of expression. z24;z+2Find the LCM of each pair of expression. 4d264;4Find the LCM of each pair of expression. 10a2b4c4;5ab3c2Does it matter whether you use the LCD first or the GCF first when adding or subtracting a rational expression with different denominators and simplifying? Use an example to justify your claim.Is there ever a time when it is all right to add or subtract the denominators when adding or subtracting a rational expression? Explain.Simplify. Add or subtract. x32x+5+1xSimplify. Add or subtract. 3x2x2xAdd or subtract, add/or simplify. 3a+4xAdd or subtract, add/or simplify. 2x1+10Add or subtract, add/or simplify. x2+3Add or subtract, add/or simplify. 1+abAdd or subtract, add/or simplify. mx+4mx1Add or subtract, add/or simplify. ab+xyAdd or subtract, add/or simplify. 21.54x5.53xAdd or subtract, add/or simplify. 1+2x125xAdd or subtract, add/or simplify. 1x1+x+1x2Your friend bought n+8 outfits and her sister bought n+2n+3 outfits. Write an expression for the number of outfits they bought.What is the perimeter of a rectangular garden that is 5+x2 ft long and 2x13 ft wide?Your brother ran to school at a rate of 6 mi/h. He walked back home at a rate of 4 mi/h. How far is it to school if the round trip takes l hour?Adding two rational expressions leads to a solution of 5x6. One expression is x3. What is the other one? Show your work.Writing Explain how to use opposites to find the sum 812x+x2x1.Open-Ended Write a problem that uses addition of rational expressions.For Exercises 1-5, choose the correct letter. What is the difference 5x24xx24x? A. 1 B. x1x C. 0 D. 32What is the sum 12b+b2? Fb+12b+2G2bH14Ib2+12bWhat is the sum 1g+2+3g+1? A3g+3Bg+3g+1g+2C4g+7g+1g+2D2g+3g+1g+2What is the difference r+2r+43r+1? F1r+3Gr21r+1r+4Hr210r+1r+4Ir2+14r+1r+4What is the sum a1abc3+3babc3? Aab3abc3Bab+2abc3Ca4+babc3D3c3Elena went on a Simile walk. She completed the first half of the walk 1 mi/h faster than usual and the second half of the walk 2 mi/h slower than the first half. If it took her 7.2 h to complete the walk what is her usual rate? What is the formula necessary to solve this problem?Solve each equation. Check your solution. 12j+2=42jSolve each equation. Check your solution. 8c+26=4c+2Solve each equation. Check your solution. 32p21=4p1+2Solve each equation. Check your solution. 2x2+34=2x2Solve each equation. Check your solution. 5d+2+d5=d+55Solve each equation. Check your solution. 3a3a3=32Solve each equation. Check your solution. 4n1=2n+21Solve each equation. Check your solution. xx3+2x+3=1Solve each equation. Check your solution. p+7p+22=2pp+4Solve each equation. Check your solution. 2p+3=728pSolve each equation. Check your solution. aa+6=2a+6Solve each equation. Check your solution. 64d=2dd2It takes you about an hour to make one batch of cookie dough and your brother about 42 minutes to make one batch. How much time does it take, you to make a batch of cookie dough together?Your dad can clean the house in 2 hours and 10 minutes. Your mom can clean it in an hour and 45 minutes. How many hours does it take them to clean the house if they work together?Solve each equation. Check your solutions. If there is no solution, write no solution. x1x+2+4x2x22x12=2Solve each equation. Check your solutions. If there is no solution, write no solution. t13t2t22t33t+2=42t2Solve each equation. Check your solutions. If there is no solution, write no solution. 22pp26p+8+3pp4=pp2Solve each equation. Check your solutions. If there is no solution, write no solution. d4d+4=4+dd2d+8d2+2d8It takes yon 12 hours to paint a house, your brother 14 hours, and your sister 10 hours. If all three of you work together, how long will it take you to paint the house?Maria, LaShawn, and Mike are all students. It takes Maria 8 hours to write half of her paper for history class. It takes LaShawn 2x hours to write one third of her paper, and Mike takes x,2 hours to write half of his paper. If the teacher tells them they can work on the paper as a group, how long will it take them to complete it?Error Analysis Edward solved the rational equation 3xx2xx963x=3x13 and got an answer of x=19. What was his mistake?Writing Write a rational equation that has n=10 for the answer. Include at least 3 terms in your equation, one of which should be a quadratic equation or a perfect square.A pool has 2 pipes, one to fill it and one to empty it. Ms. Simon wants to fill the pool, but she mistakenly turns on both pipes at the same time. The pipe that fills the pool can fill it in 6 hours and the one that drains it can do that job in 10 hours. How Jong will it take to fill the pool now that both pipes are filling and emptying it at the same time?What is the LCD of the equation tt22t341t=5t3t+4t+1?Solve each equations. Check your solutions. cc+4+3c3=16c2+c12Solve each equations. Check your solutions. 12y+1y+4y4y2=1For Exercises 1-4, choose the correct letter. What is the excluded value of the equation y=2x1+1? A. -1 B. 0 C. l D. 2For Exercises 1-4, choose the correct letter. A bus trip along the coast takes one route going, for a total of 1024 miles, and another route returning, for a total of 896 miles. If the bus travels at a constant speed of 65 mi/h, how far did the bus travel per second on the return trip? F. 0.07 mi/s G. 13.8 mi/s H. 896 mi/s I. 0.0181 mi/sFor Exercises 1-4, choose the correct letter. What is the LCD for the equation 6x2x2y2x3xy2=xx2y2? A6x2y2Bx2y2C12x2y2D6xyFor Exercises 1-4, choose the correct letter. What is the excluded value of the rational expression? include all possible solutions. 1x2+2x24 F. 0.24 G. 6, 4 H. 4, 6 I. 4, -6Every morning Diane runs 6 miles in about an hour. What is her rate in feet per second? What equations would you use to solve? Explain and show your work.Suppose/varies inversely with x. Write an equation for the inverse variation. y=20whenx=5Suppose/varies inversely with x. Write an equation for the inverse variation. y=16whenx=2Suppose/varies inversely with x. Write an equation for the inverse variation. y=35whenx=15Suppose/varies inversely with x. Write an equation for the inverse variation. y=1.2whenx=4Suppose/varies inversely with x. Write an equation for the inverse variation. y=25whenx=45Suppose/varies inversely with x. Write an equation for the inverse variation. y=0.5whenx=2.4If y varies inversely with x, and y=12whenx=11, find the constant of variation k.If y varies inversely with x, solve for y if the constant of variation k=8andx=23.Graph each inverse variation. y=12xGraph each inverse variation. xy=6Graph each inverse variation. xy=30Graph each inverse variation. y=10xTwo fifth graders play on the seesaw. One fifth grader weighs 75 Ib and the other weighs 90Ib. In order to balance the seesaw so both can ride, how far from the center pole does the 90 Ib fifth grader have to be if the 75 Ib fifth grader is 6 ft from the center? Weight and distabce vary inversely.In Exercise 13, what if the 75 lb fifth grader and a friend of equal weight sit 4 ft from the center of the seesaw to balance the 90 lb fifth grader? How far from the center should the 90 lb fifth grader be?Speed equals distancetime If a car is traveling at a constant speed of 60 60kmh, how many minutes does it take to go 20 km and then 40 km? Is this a direct variation or an inverse variation? How do you know?In a given equation, C varies inversely with D. If C is 50 when D=11.5, find C when D is 20.Graph the equations xy=4andxy=4. How are the graphs of xy=4andxy=4 alike? How are they different?Graph xy=14 How is it like the graph of xy=4? How is it different?Do the data in each table represent a direct variation or an inverse variation? Write an equation to model the data in each table.Do the data in each table represent a direct variation or an inverse variation? Write an equation to model the data in each table.Do the data in each table represent a direct variation or an inverse variation? Write an equation to model the data in each table.Tell whether each situation represents a direct variation or an inverse variation. You buy strawberries for $2.99/ptTell whether each situation represents a direct variation or an inverse variation. You earn $7.25/hour.Tell whether each situation represents a direct variation or an inverse variation. A 10-in. cake is shared equally by your study group.Tell whether each table represents a direct variation or an inverse variation Write an equation to model the data, then complete each table.Tell whether each table represents a direct variation or an inverse variation Write an equation to model the data, then complete each table.Tell whether each table represents a direct variation or an inverse variation Write an equation to model the data, then complete each table.Solve each exercise and enter your answer on the grid provided. Suppose y varies inversely with x, and y=16whenx=4. What is the constant of variation k?Solve each exercise and enter your answer on the grid provided. If 9 students sharpen 18 pencils in 2 minutes, how many students will it take to sharpen 18 pencils in 1 minute? ;Solve each exercise and enter your answer on the grid provided. If y varies inversely with x, and y=16whenx=64, what is the constant of variation?Solve each exercise and enter your answer on the grid provided. The pair of points (3, 8) and (x, 6) are on the graph of an inverse variation. What is the missing value?Solve each exercise and enter your answer on the grid provided. The weight needed to balance a lever varies inversely with the distance from the fulcrum to the weight. A 120-Ib weight is placed on a lever, 5 ft from the fulcrum. What amount of weight, in pounds, should be placed 8 ft from the fulcrum to balance the lever?Identify the excluded value of each rational function. y=2xIdentify the excluded value of each rational function. fx=3x+1Identify the excluded value of each rational function. y=102x+2Identify the excluded value of each rational function. fx=4x+6Identify the excluded value of each rational function. y=9xIdentify the excluded value of each rational function. y=x4x+8Identify the asymptotes of the graph of each function. Then graph the function. y=2.5xIdentify the asymptotes of the graph of each function. Then graph the function. fx=43+xFind the domain for x in the equation xy=1.Graph the equation xy=1. What happens to the values of y as x approaches 0 from the left and from the right?Identify the horizontal asymptote for the graph of the equation y=2.5x+17+3. How many units has the graph of y=2.5x been vertically translated?Identify the horizontal and vertical asymptotes of y=1x+1 without graphing or making a table. Explain how you figured out what they were.Describe how the graph of each function is a translation of the graph of y=1x. y=1x+4+3Describe how the graph of each function is a translation of the graph of y=1x. y=1x4+3Describe how the graph of each function is a translation of the graph of y=1x. y=1x+43Describe the graph of each function. y=5xDescribe the graph of each function. fx=2xDescribe the graph of each function. fx=x3Describe the graph of each function. y=x+5Describe the graph of each function. gx=4x+12Describe the graph of each function. y=x+6Describe the graph of each function. y=x216Describe the graph of each function. gx=2x+73Graphing Calculator Maria invites 14 friends over to eat a cake she baked that contains 3000 calories. Every friend also has a glass of milk worth 100 calories each, but two friends do not eat the cake. Write an equation for how many calories each person who has cake consumes. Solve the equation. Then use your graphing calculator to graph it. Find the number of calories each person would consume if only 8 people showed up.Open-Ended Write an example of a rational function with a vertical asymptote at x=1 and a horizontal asymptote at y=5.Graph and describe the similarities and differences between each of these functions. a.fx=1xb.fx=1x1C.fx=1x+1+5A philanthropist gives $50,000 to students who have helped the community. The money is divided equally among these students. There is no limit to the number of students x. All students with good community projects will get a share of the money. In addition, these students will get $2000 up front from a separate fund. What equation shows the amount of money each student receives? Ay=50,000x+2000By=50,000xCy=50,000x2000Dy=50,000x2000For Exercises 1-4, choose the correct letter, You have $1200 in a bank account The simple annual interest rate is 4%. How much interest is added to the account after 9 months? F. $48 G. S96 H. $30 ; . I. $36For Exercises 1-4, choose the correct letter, A trip from Ohio to New York is 529 mi. What equation shows the time, t, it takes to go by car if r is the average speed during the trip? At=529tBt=529rCr=529tDt=r529For Exercises 1-4, choose the correct letter, What is an equation for the graph that passes through points 2,214and2,134? Fy=14x+4Gy=12x+2Hy=14x+2Iy=12x+4Tracey wants to buy a house. She needs a salary of $3600 a month to qualify for the mortgage. Tracey works at a bank for $20/h for 160 hours each month. After work, she has a second job at the mall and makes $16/h. How many hours would she have to work at the mall in order to make enough money to qualify for the mortgage? Show your work. .Find each sum or difference. 2323+1532Find each sum or difference. 0452+2261Find each sum or difference. 35022133Find each sum or difference. 924305311065Find each sum or difference. 191033.51.321342Find each sum or difference. 2.143.5306.7+3.4832.24.10.7Find each sum or difference. 0.132.301.2133.52.6+3.2024.7883.426.1Find each sum or difference. 0.132.301.2133.52.63.2024.7883.426.1Find each sum or difference. 21.34.401.22422.63.400.55.281.22.321Find each sum or difference. 51.53.181.2165.42.6+3.4024.93.51.90.52.42.6Find each product. 32160Find each product. 51322Find each product. 60.51.223.20.40Find each product. 48204Find each product. 02753Find each product. 30.46.652.70.30Find each product. 14936Find each product. 37531Find each product. 41.23.423.10.73Seasonal rainfall, in inches, for four cities is shown below. Which city had the greatest increase in summer rainfall between 2006 arid 2010? Find the answer using matrices.Race times, in seconds, for four members of the track team are shown below. For each distance run, which runner showed the greatest improvement, in seconds, from the preliminary race to the final race? Find the answers using matrices.Simplify each expression. (Hint: Multiply before adding or subtracting.) 1212+60311Simplify each expression. (Hint: Multiply before adding or subtracting.) 322640145
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