442 Index
evaluate, 382–83, PB 433–34
model using algebra tiles, 384–85, PB 435–36
monomials
defined, 382–83, PB 433–34
degree of, 382
multiply/divide
apply Laws of Exponents, 390–91, PB 441–42
model with algebra tiles, 390–91, PB 441–42
multiply/divide algebraically, 390–91, PB 441–42
multiply by monomials
apply Distributive Property, 392–93, PB 443–44
model with algebra tiles, 392–93, PB 443–44
use appropriate Law of Exponents, 392–93, PB 443–44
write in standard form, 394–95, PB 445–46
simplify, 384–85, PB 435–36
subtract
compute horizontally/vertically, 389
model with algebra tiles, 388–89, PB 439–40
subtract algebraically, 388–89, PB 439–40
write in standard form, 388–89, PB 439–40
properties
associative (grouping)
Associative Property of Addition, 14–15, 130–31, 386,
PB 13–14, 145
Associative Property of Multiplication, 14–15, 130–31, 387,
PB 13–14, 145
closure
Closure Property for Integers, 17, PB 15–16
Closure Property for Whole Numbers, 16–17, PB 15–16
commutative (order)
Commutative Property of Addition, 14–15, 130–31, 386,
PB 13–14, 145
Commutative Property of Multiplication, 14–15, 130–31,
PB 13–14, 145
Density Property, 116, PB 132
distributive
Distributive Property of Multiplication over Addition, 15,
131, 386, PB 13–14, 145
Distributive Property of Multiplication over Subtraction,
15, 131, 386, PB 13–14, 145
equality
Addition Property of Equality, 38, 45, PB 41–42
Division Property of Equality, 40, 45, 46–47, PB 43–44
Multiplication Property of Equality, 42–43, PB 45–46
Subtraction Property of Equality, 36–37, 45, 46–47, PB 39–40
use to solve two-step equations, 44–45, PB 47–48
identity
Identity Property of Addition, 14, 130–31, PB 13–14, 145
Identity Property of Multiplication, 14, 130–31, PB 13–14, 145
inequality
Addition Property of Inequality, 58, 60, PB 65–66
Division Property of Inequality, 59, 64, 400, PB 65–66,
71–72
model using algebra tiles and number lines, 58–59, PB 65–66
Multiplication Property of Inequality, 59, 62–63,
PB 65–66, 69–70
Subtraction Property of Inequality, 58, 60, PB 65–66
inverse
Inverse Property of Addition, 14, 130, 138–39, PB 145–46
Inverse Property of Multiplication, 130, 138–39, PB 145–46
Multiplicative Property of –1, 130, 388, PB 145–46
reciprocal (inverse property), 126–30, 132–33, 136–39, 147,
PB 141
simplify algebraic expressions using, 32–33, PB 35–36
Zero Property of Multiplication, 14, 130, PB 13–14, 145–46
relations, 358–59, PB 405–6
scientific notation
compare/order, 90–91, PB 101–2
operations with, 92–93, PB 103–4
write in, 90–91, PB 101–2
sequences (arithmetic/geometric), 352–53, PB 399–400variables
more than one, 180–85, 192–96, 280–88, 301, 306–11, 315,
334–35, 338–41, 360–61, 366, 390, 393, PB 203–8, 215–20,
315–23, 345–50, 377–78, 381–84
substitute for, 32–33, 35–43, 45–47, 53, 55, 60–65, 69, 81,
94–99, 121, 125, 135–39, 154–57, 180–86, 188–92, 194,
196–98, 247, 270, 274, 277–78, 280–81, 285–87, 289, 303, 307,
315, 316–17, 319, 335, 383, 393, 397–401, PB 35–46, 47–50,
63–64, 221–22, 309, 317, 321–22, 324
use, 30–35, 37, 38–41, 46, 52, 53–55, 56, 162, 253, 351, 381–83,
390–92, 394, 397
Algebra tiles, 58–59, 384–85, 386, 388–89, 390–91, 392, 394
Algebraic sequences, 354–55, PB 401–2
Angles
classify
acute, 242–43, PB 273–74
obtuse, 242–43, PB 273–74
reflex, 242–43, PB 273–74
right, 242–43, PB 273–74
straight, 242–43, PB 273–74
congruent, 248–49, PB 279–80
draw, 250–51, PB 281–82
measures, 242–43, PB 273–74
pairs
adjacent/linear/vertical, 244–45, PB 275–76
alternate interior/alternate exterior/corresponding, 246–47,
PB 277–78
classified by sums (complementary/supplementary), 244–45,
PB 275–76
congruent, 248–49, PB 279–80
created by transversal/parallel lines (interior/exterior), 246–47,
PB 277–78
find missing measure, 246–47, PB 277–78
points (interior/exterior), 242, PB 273–74
unit of measure/degrees, 242–43, PB 273–74
Arc, 262–63, PB 293–294
Area (see alsoMeasurement)
of circle, 286–87, 301, PB 321–22
of complex figures, 288–89, PB 323–24
effect of changing dimensions, 283, PB 317–18
find missing dimensions, 282–85, PB 317–20
of irregular polygons, 298–99, PB 333–34
of parallelogram, 282–83, 288, 392, PB 317–18
of rectangle, 47, 288, 301, 390, 393, PB 49–50
related to perimeter, 294–95, PB 329–30
rename area units, 282–83, PB 317–20
of triangles/trapezoid, 284–85, PB 319–20
Arithmetic sequences, 352–53, PB 399–400
Assessment
Chapter Test, PB 29–30, 57–58, 79–80, 119–20, 163–64, 193–94,
231–32, 267–68, 303–4, 337–38, 369–70, 395–96, 429–30, 459–60
Check Your Progress, online @ http://www.progressinmathematics.com
Cumulative Review, PB 31–32, 59–60, 81–82, 121–22, 165–66,
195–96, 233–34, 269–70, 305–6, 339–40, 371–72, 397–98, 431–32,
461–62
Spiral Review, PB 22, 38, 48, 62, 92, 100, 144, 150, 178, 198, 210,
220, 227, 246, 256, 286, 290, 300, 314, 342, 356, 374, 386, 404, 414,
420, 442, 450
Tell About It, PB 30, 58, 80, 120, 164, 194, 232, 268, 304, 338, 370,
396, 430, 460
Test Prep (lessons), 27–28, 52, 69–70, 105–6, 145–46, 171–72, 205–6,
238, 270, 300, 328, 349–50, 380, 406
Test Preparation, PB 4, 16, 34, 46, 106, 152, 159, 168, 212, 254, 278,
296, 318, 324, 348, 360, 388, 402, 438
Associative Property (grouping), 14–15, 130–31, 386, PB 13–14, 145
Axes, 22–23, 266, 362, 365, 369, 370, 371, 378–79, PB 21–22