Mathematics - PearsonAccess.com

More documents

Recommendations

Info

<strong>Mathematics</strong> Answer KeySubstitute m 3 and b 3 into y mx b.2The equation of the line containing AD isy 3 x 3.2Since BC is parallel to AD, the line containingBC also has a slope of 3 2 .To find the area of the regular hexagon, divide itinto 6 congruent regions.44Point B (2, 4) is also on this line.Substitute m 3 , x 2, and y 4 into the2slope-intercept form of the equation of a line andsolve for b.y mx b4 3 2 (2) bEach triangle in the hexagon above is anequilateral triangle with a side length of 4inches. Draw the height on one of the trianglesas shown below.60°4 3 b7 bSubstitute m 3 and b 7 into y mx b.2The equation of the line containing BC isy 3 x 7.242330°4Question 74 (page 189)B Correct. A prism with bases that are equilateraltriangles could have three rectangular faces.The triangles formed by the altitude are30°-60°-90° triangles. The length of thehypotenuse is 4 inches. The altitude, the longerleg, is equal to 23 inches.Use the formula A 1 bh to find the area of the2triangle.A 1 2 (4)(23)A 43A 6.93 in. 2Objective 8Question 75 (page 223)Multiply by 6 to obtain the area of the hexagon.A 6 • 6.93A 41.58 in. 2ACorrect.Use the formula A 1 bh to find the area of one2triangle.A 1 2 (4)(9)A 18 in. 2Multiply the area of one triangle by 6 to find thearea of the six triangles.A 6 • 18A 108 in. 2The total area of the figure is the sum of theareas of the hexagon and the triangles.A 108 41.58A 150 in. 2Elroy needs at least 150 square inches ofcardboard to make the figure.293
<strong>Mathematics</strong> Answer KeyQuestion 76 (page 223)A Correct.To find the area of the sector, use the proportion a reaofsectormeasure of central angle areaofcircle360°The measure of the central angle is 170°.The ropes are radii of the circle. The length ofthe radius is 9 yards. Find the area of the circle.A π(9) 2 81π 254.47 yd 2Substitute these values into the proportion. Letx represent the area of the sector.x 1 70254 .47 360360x 43,259.9x 120.166 yd 2The area of the sector is approximately120 square yards.Question 77 (page 224)B Correct.The length of the radius is 5.4 centimeters. Usethe proportionlength of arccircumference of circledegree measure of arc360°to find the arc length.Calculate the circumference of the circle.C 2π(5.4) 33.929 cmThe degree measure of the arc is 65°.Let x represent the length of the arc. Substitutethese values into the proportion and solve for x.x 65 33. 929 3 60360x 2205.385x 6.126 cmThe length of the arc is approximately 6.1 cm.Question 78 (page 224)D Correct. To determine the height of the truckwith the sign, find the height of the triangle thatforms the base of the prism. The lengths of twosides of the triangle are equal. The triangle isisosceles.20 in.Altitude25 in.20 in.The height is equal to the length of the altitudeof the triangle. The altitude divides the triangleinto two right triangles with a hypotenuse of20 inches.The altitude bisects the base. The length of oneleg is 25 2 12.5 inches.The altitude is the missing leg of the righttriangle. Let a represent the length of thealtitude. Use the Pythagorean Theorem to find a.a 2 12.5 2 20 2a 2 156.25 400a 2 243.75a 243.7 5a 15.612a 16 inchesa 1 foot 4 inchesAdd the approximate height of the sign to theheight of the truck.6 feet 10 inches 1 foot 4 inches 7 feet 14 inches 8 feet 2 inchesTheir total height is about 8 feet 2 inches. Thetruck with the sign on it will not fit in the garage.Question 79 (page 225)B Correct. Calculate the volume of the prism andthe volume of the cylinder. Subtract the volumeof the cylinder from the volume of the prism tofind the volume of the machine part.Use the formula V Bh for the volume of a prism.The rectangular base of the prism has a length of55 mm and a width of 30 mm. Its area is55 • 30 1,650.V Bh 1,650 • 23 37,950 mm 3Use the formula V Bh for the volume of acylinder.The radius of the base of the cylinder is20 2 10 mm. The area of the base isπ(10) 2 100π 314.294
Page 1 and 2:
Revised 2007MathematicsA Student an
Page 3 and 4:
Cover photo credits: Left © Royalt
Page 5 and 6:
ContentsMathematicsIntroduction . .
Page 7 and 8:
What Are the Helpful Features of Th
Page 9 and 10:
Texas Assessmentof Knowledge and Sk
Page 11 and 12:
Objective 1The student will describ
Page 13 and 14:
Objective 1Do the ordered pairs gra
Page 15 and 16:
Objective 1How Can You Represent a
Page 17 and 18:
Objective 1Any equation in the form
Page 19 and 20:
Objective 1A variety of methods of
Page 21 and 22:
Objective 1Does the graph below rep
Page 23 and 24:
Objective 1●Check at least two po
Page 25 and 26:
Objective 1Find two points that sat
Page 27 and 28:
Objective 1A physics class is doing
Page 29 and 30:
Objective 1Which of the following s
Page 31 and 32:
Objective 1Question 1The basketball
Page 33 and 34:
Objective 1Question 7Which graph be
Page 35 and 36:
Objective 1Question 9The table belo
Page 37 and 38:
Objective 2The student will demonst
Page 39 and 40:
Objective 2The simplest quadratic f
Page 41 and 42:
Objective 2Try ItWhat are the domai
Page 43 and 44:
Objective 2An open circle on agraph
Page 45 and 46:
Objective 2Try ItA rectangular cour
Page 47 and 48:
Objective 2Try ItThe graph below de
Page 50 and 51:
Objective 2A trucking company keeps
Page 52 and 53:
Objective 2How Do You Use Symbols t
Page 54 and 55:
Objective 2Verify that each of the
Page 56 and 57:
Objective 2Students in a math class
Page 58 and 59:
Objective 2Simplify the expression
Page 60 and 61:
Objective 2How Do You Solve Algebra
Page 62 and 63:
Objective 2The length of a rectangl
Page 64 and 65:
Objective 2Question 12Which functio
Page 66 and 67:
Objective 2Question 16The table sho
Page 68 and 69:
Page 70 and 71:
Objective 3What Is Slope?The slope
Page 72 and 73:
Objective 3The set of ordered pairs
Page 74 and 75:
Objective 3What are the slope and y
Page 76 and 77:
Objective 3What Are the Effects on
Page 78 and 79:
Change in y-Intercept, bObjective 3
Page 80 and 81:
Objective 3Try ItIf the slope of th
Page 82 and 83:
Objective 3Try ItWrite the equation
Page 84 and 85:
Page 86 and 87:
Page 88 and 89:
Objective 3Here are two ways to fin
Page 90 and 91:
Objective 3How Do You Interpret the
Page 92 and 93:
Objective 3The domestic production
Page 94 and 95:
Objective 3How Do You Predict the E
Page 96 and 97:
Objective 3In a science lab Kim fou
Page 98 and 99:
Objective 3Question 25The graph bel
Page 100 and 101:
Objective 4The student will formula
Page 102 and 103:
Objective 4● Solve the inequality
Page 104 and 105:
Objective 4Try ItSix friends decide
Page 106 and 107:
Objective 4Try ItA rectangle has a
Page 108 and 109:
Objective 4Solve this system of equ
Page 110 and 111:
Objective 4The elimination method i
Page 112 and 113:
Objective 4Try ItDescribe the solut
Page 114 and 115:
Objective 4Question 34The Seashell
Page 116 and 117:
Objective 4Question 40Which is the
Page 118 and 119:
Objective 5The graph of the quadrat
Page 120 and 121:
Objective 5What Happens to the Grap
Page 122 and 123:
Objective 5If the coefficient of x
Page 124 and 125:
Objective 5What Happens to the Grap
Page 126 and 127:
Objective 5For what amount should t
Page 128 and 129:
Objective 5What are the solutions t
Page 130 and 131:
Objective 5How Can You Solve a Quad
Page 132 and 133:
Objective 5How Can You Solve a Quad
Page 134 and 135:
Objective 5Try ItFind the approxima
Page 136 and 137:
Objective 5●●When raising a ter
Page 138 and 139:
Objective 5Try ItA rectangular pris
Page 140 and 141:
Objective 5Question 46A bakery dete
Page 142 and 143:
Page 144 and 145:
Objective 6In the diagram below, FR
Page 146 and 147:
Objective 6Point O is the center of
Page 148 and 149:
Objective 6Continue to follow this
Page 150 and 151:
Objective 6Make a table to show the
Page 152 and 153:
Objective 6Sometimes we can combine
Page 154 and 155:
Objective 6Find the length of side
Page 156 and 157:
Objective 6Consuelo is on a boat 3
Page 158 and 159:
Objective 6How Do You Use Transform
Page 160 and 161:
Objective 6The graph of ABC is show
Page 162 and 163:
Objective 6If point P (6, 1) is ref
Page 164 and 165:
Objective 6Try ItThe graph below sh
Page 166 and 167:
Objective 6Question 57Look at the s
Page 168 and 169:
Objective 6Question 63Which set of
Page 170 and 171:
Objective 7What 3-dimensional figur
Page 172 and 173:
Objective 7Perspective views of a f
Page 174 and 175:
Objective 7A coordinate grid is use
Page 176 and 177:
Objective 7T5yRS432UV1-5 -4 -3 -2 -
Page 178 and 179:
Objective 7A median of a triangle i
Page 180 and 181:
Objective 7Parallelogram PTRS is sh
Page 182 and 183:
Objective 7How Do You Find the Leng
Page 184 and 185:
The x-coordinates of the endpoints
Page 186 and 187:
Objective 7You should also be famil
Page 188 and 189:
Objective 7Question 67Three views o
Page 190 and 191:
Objective 7Question 71Which equatio
Page 192 and 193:
Objective 8●Find the area of the
Page 194 and 195:
Objective 8Try ItHenry is building
Page 196 and 197:
Objective 8How Do You Find the Leng
Page 198 and 199:
Objective 8Substitute the known val
Page 200 and 201:
Objective 8A πr 2A π(3) 2A 9π
Page 202 and 203:
Objective 8Yolanda’s television s
Page 204 and 205:
Objective 8Try ItWhat is the perime
Page 206 and 207:
Objective 8What is the minimum area
Page 208 and 209:
Objective 8What is the lateral surf
Page 210 and 211:
Objective 8How many cubic centimete
Page 212 and 213:
Objective 8Flask’s volume Volume
Page 214 and 215:
Objective 8DilationsA dilation is a
Page 216 and 217:
Objective 8y13121110A9876DD54321-13
Page 218 and 219:
Objective 8The lengths of the sides
Page 220 and 221:
Objective 8The actual width of the
Page 222 and 223:
Objective 8How Is the Surface Area
Page 224 and 225:
Objective 8Question 76D 127 yd 2Que
Page 226 and 227:
Objective 8Question 80Question 79D
Page 228 and 229:
Objective 8Question 85A spherical b
Page 230 and 231:
Objective 9●Write a proportion, a
Page 232 and 233:
edObjective 9What Is Probability?Pr
Page 234 and 235:
Objective 9A jar contains 9 black m
Page 236 and 237:
Objective 9For the second draw, we
Page 238 and 239:
Objective 9A spinner is divided int
Page 240 and 241:
Objective 9Try ItA gardening store
Page 242 and 243:
Objective 9The table shows the atte
Page 244 and 245: Objective 9Mean:Find the mean of Ry
Page 246 and 247: Objective 9When people go to a doct
Page 248 and 249: Objective 9Next year new elective c
Page 250 and 251: Objective 9The lower quartile can b
Page 252 and 253: Objective 9The greatest percent inc
Page 254 and 255: Objective 9Question 91Amelia survey
Page 256 and 257: Objective 9Question 94The circle gr
Page 258 and 259: Objective 9Question 97A high school
Page 260 and 261: Objective 10●Write two equations
Page 262 and 263: Objective 10Let h represent the num
Page 264 and 265: Objective 10●The distance around
Page 266 and 267: Objective 10How Do You Communicate
Page 268 and 269: Objective 10If the translated funct
Page 270 and 271: Objective 10How Do You Use Logical
Page 272 and 273: Objective 10Try ItWrite the equatio
Page 274 and 275: Objective 10The solution to a probl
Page 276 and 277: Objective 10Question 102Which equat
Page 278 and 279: Objective 10Question 105Three trian
Page 280 and 281: Objective 10Question 107A triangle
Page 282 and 283: Mathematics Answer KeyDCorrect. Use
Page 284 and 285: Mathematics Answer KeyThe cost of t
Page 286 and 287: Mathematics Answer KeySubstitute c
Page 288 and 289: Mathematics Answer KeyQuestion 39 (
Page 290 and 291: Mathematics Answer KeySet each fact
Page 292 and 293: Mathematics Answer KeyQuestion 63 (
Page 296 and 297: Mathematics Answer KeyThe height of
Page 298 and 299: Mathematics Answer Key5quarter is .
Page 300 and 301: Mathematics Answer KeyInvestmentof
Page 302 and 303: Texas Assessmentof Knowledge and Sk
show all

Mathematics - PearsonAccess.com

Create successful ePaper yourself

Delete template?

Save as template?