[A] [B] [C] [D] [E] [F] [G] [H] [I] [J] [K] [L] [M] [N] [O] [P] [Q] [R] [S] [T] [U] [V] [W] [X] [Y] [Z]

A

ABSCISSA 1) 32) x = -4

ABSOLUTE VALUE 1) 3 and -32) none 3) - 24) ³n³ = 15

ACUTE 1) 45ø, .5ø, ã/4 rad, .3456 rad

ADD 1) 442) 13.5

ADDEND 1) 78= [13] + [1] + [19] +[x] 2) 45 ADDITION1) subtraction

ADDITION METHOD 1) 3

ADJACENT 1) 14ø, 34ø

AMOUNT 1) $460 if not compounded annually, $463.05 if compounded annually

AND 1) 7.15

ANGLE 1) 32) 7

ANNUAL 1) 15%

APPROXIMATE 1) about $48,000

ARC 1) BAD is 80ø, BED is 40ø, arc BE is 140ø 2) arc FBT or arc FT

AREA 1) A =bh/22) Trace your hand on cenitmeter graph paper and count the number of squares it covered.

ARRAY 1) 17 2) 28

AVERAGE 1) 159 lbs.

B

BASE 1) 16 cm

BILLION 1) 412,300,521,952

BINOMIAL 1) xý - yý = (x - y)(x + y)

BRACE 1) {5 + 4} x 3

BRACKET 1) 93 2) parentheses

C

CALCULATE 1) 16 m3

CALCULATOR 1) answers vary 2) answers vary

CARDINAL 1) an infinite number. It is the smallest infinite number.

CENTI- 1) .45 m 2) 90 000 cm

CENTIMETER 1) Centigrade is a temperature in which a degree is 1/100 of the difference between freezing [0ø] and boiling [100ø]. Centimeter is a length which is 1/100 the distance from 0 meters to 1 meter [100 cm].

CENTRAL ANGLE 1) 47ø

CHARACTERISTIC 1) 4

CIRCLE GRAPH 2) 62.5% 1)

CIRCUMFERENCE 1) about 62.83 units 2) about 100 feet

CLOSED CURVE If the curve can be traced without lifting the pencil from the paper, it is closed.

COEFFICIENT 1) -3

COINCIDENT 1) b, c, d

COMBINE 1) 9x - 6y + 72) 19û3

COMMON DENOMINATOR 1) fourths 2) 24ths 3) 6xýy 4) (x + 2)ý(x - 3)

COMMISSION 1) 5% 2) $500

COMPOSITE 1) 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21 2) 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40

COMPOUNDED 1) 4 times

CONCENTRIC 1) 12ã square inches or about 37.7 square inches

CONGRUENT 1) regular polygon -- a polygon in which all angles are congruent and all sides are congruent

CONSECUTIVE 1) 5, 7, 11

CONVERT 1) 1 ft. 2) 144 in.

COSECANT 1) 1.3054 2) 5/3 3) csc 225ø= -csc 45ø= -û2

COSINE 1) 1/2 2) 1

CROSS MULTIPLY 1) 25/8

CUBIC 1) 1 cu. yd. = 27 cu. ft. 2) 1 cm3 = 1000 mm3

CUP 1) 16

D

DAM 1) 40 hm= 400 dam=4000 m

DECA- 1) 1 decacards

DECAGON 1) 7 2) 35 3) 144ø

DECI- 1) 40 decibel

DECIMAL 1) 5.5 2) to the right of 25, ie. 25.

DEDUCTION 1) $115.90 2) $269.23

DEGREE 1) 70ø 2) 0ø

DENOMINATOR 1) 4, 3, 9, 15 2) 3/2 & 1/2

DEPENDENT 1) b and c

DETERMINE 1) 2

DIAGONAL triangle 300 quadrilateral 412 pentagon 525 hexagon 639 heptagon 7414 octagon 8520 Do you see any patterns here? Describe the patterns in words or symbols. Ans. The number of diagonals from 1 vertex is three less than the number of sides: d = s - 3. The total number of diagonals is 1 + 2 + 3 + 4 + ... + (s - 3) + (s - 3). List the number of new diagonals from each vertex to verify this. This sum is the total number of diagonals. This sum is (sý -3s)/2 because this equals s - 3 more than the sum of the first s - 3 counting numbers.

DIAMETER 2) 1) 8 cm

DIGIT 1) 2, 13, 24, 35, 46, 57, 68, 79 2) 1 3) 0

DIMENSION 1) 4" 2) 8 cm

DIMINISH 1) 5

DISCRIMINANT 1) -8 2) 2 real roots, because the discriminant is +29

DISTANCE 1) 200 miles 2) 2û26 or about 10.198

DIVISIBILITY TEST 1) Is the sum of the digits of a number divisible by 3? If so, the number is divisible by 3.

DIVISIBLE 1) no, yes, no 2) 210, or 420, or 630, or ...

DODECAGON 1) 11 cm

DOUBLE 1) 6x

E

ELIMINATE 1) (1,1)

ELLIPSIS 1) 10 2) 10 3) 25

ENDPOINT 1) A, ray AB; A, B line segment 2) D, F, line segment 3) none, line

EQUAL 1) 2xy 2) none 3) 14/20 4) none 5) n = y + 2 6) n = n

EQUATION 1a) x > y b) x = 3 + y or x - 3 = y 2) statement 1b

EQUILATERAL 1) square or rhombus2) 8.5 ft.

EQUIVALENT 1) 1 2) 12

ESTIMATE 1) 60 2) about 22 sq. units

EVALUATE 1) 1 2) 12

EXCEEDS 1) y = x + 15 or y - 15 = x 2) 4x > y or y < 4x 3) xy > x + y or x+y EXPANDED NOTATION 1) 4263 2) 50,270 3) 5(103) + 2(10ý) + 3(10) + 8 4) x3 + 6xý + 12x + 8

EXPONENT 1) 5, 1; x, 3 2) -1, 1; 4, 1; x, 1; y, 2 3) -1, 1; (5 + x), 2 4) x3/yý5) -2/(x3y) 6) x2/5 7) y3/4 8) x3

EXPONENTIAL FUNCTION 1) 1 or (0,1), none, 4, 1/2 2) 2 or (0,2), none, 5, 1 1/2

EXPRESS 1) x3 - 27 3) x + 1/x = 6x

EXPRESSION 1) the product of 4 and a number or 4 times a number 2) the difference of two squares3) x - 4

F

FACTOR 1) 9 and 6 2) 3 and 18 3) 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

FACTOR PAIR 1) 1 and 24 or 2 and 12 or 3 and 8 or 4 and 6 2) 1 and 57, 3 and 19

FACTOR TREE 1) Each of these is an answer.

FEET 1) 3 yd. 2) mile 3) 29 sq. ft.

FIFTY 1) 2 x 5 x 5

FIGURE 1) C 2) 6 sq. units

FOIL 1) xý + 4x + 4 2) xý - 9 3) 3xý - 10x - 8

FOOT 1) 144 sq. in.

FORMULA 1) C= ãd or C= 2ãr 2) V =4ãr3/3

FRACTION 1) 9/7

FREQUENCY 1) 1, 0, 4

FUNCTION 1) a and c

G

GALLON 1) 16 cups

GCF 1) 15 2) 1* 3) 1*4) 2 *Note: Since the GCF of the numbers is 1, the numbers are called RELATIVELY PRIME.

GRAM 1) 1000 g 2) 4000 mg

GRAPH

H

HALF, HALVES 1) 8 2) 2 3) 1/4 or a quarter

HEIGHT 1) 8 cm

HEPTAGON 1) 12 in.

HORIZONTAL 1) y = -1

HUNDRED 1) 8 2) 438 hundreds. The number may be written as 438(100) + 25.

HUNDREDTH 1) 200 2) 2

HYPOTENUSE 1) 25 in. 2) 3 cm

I

IDENTITY 1)

ILLUSTRATE 1) Answers will vary but are of the form a(b + c)= ab + ac. See "Most Operations Are Not Distributive."

IMPROPER FRACTION 1) 19/4

INCH 1) 1/12 ft. 2) 1 in.

INCLUSION MARKS 1) 15 2) 9

INCLUSIVE 1) 7, 9, 11, 13 2) 17, 19, 23

INCONSISTENT 1) b and c

INCREASE 1) 7 2) 2(x + 5) or 2x +10

INSCRIBED 1) 40ø 2) 60ø

INTEGER 1) -5, -4, -3, -2, -1, 0, 1 2) x 3) x + 1 4) x + 2 5) x + x + 1 = 7

INTERCEPT 1) (0, 4) 2) (0, 5) 3) none exists 4) (-3,0) and (2,0)

INTEREST 1) $10.25: first $5 then $5.25

INTERSECT 1) (-1/2, 3) 2) {3, 4}

IRRATIONAL NUMBER 1) û11, 2û3, ã, 6.2122122212222...

IS 1) 9 > 2 2) 9 = 4x

ISOSCELE 1) area: 52 cmý 1) perimeter: 36 cm

J, K, L

KILO- 1) 5 000 g 2) 100 g 3) 300 000 mg

LCM 1) 90 2) 60 3) 225 4) 168

LEG 1) 28 cm2) 4 units

LENGTH 1) 17 1/4 ft.2) 17 ft.

LESS 1) no

LIKE TERMS 1) axýyz, bxýyz, where a and b are different constant or variable numbers. 2) 2x - 3y

LINE

LITER 1) .001 L 2) 1000 mL 3) There is no greatest, all are equal.

LOGARITHM 1) 3 2) 5 3) 1

M

MAJOR ARC 1) 310ø 2) 100ø, 100ø

MARKUP 1) 50%, $18 2) $6, $36 3) $40, 20%

MANTISSA 1) The mantissas are all the same. 2) 0

MAXIMUM 1) 2 2) 20 m

MEAN 1) 6

MEASURE 1) about 1 5/8 in. or 4 cm

MEDIAN 1) 32) 43) 5.5

MEMBER 1) a, b, c, d, ..., x, y, z

METER 1) more2) less3) same

MILE 1) 52802) 5280 3) 5280/60 or 88 4) 88(4) or 352

MILLI- 1) 1 000 2) 0.045 3) 45000

MILLIMETER 1) .001 2) 1 000 000 3) 4

MILLION 2) 6,471,600,003 1) two hundred twelve million, seven hundred three

MILLIONTH 1) 4.000003 2) 0.000403 3) 400.000003

MINIMUM 1) 0

MINUS 1) a + b - ab

MINUTE 1) 60 2) 60 3) 315 4) 5.25

MIXED NUMBER 1) 1 1/3 2) 5 7/10 3) 2 4/7

MODE 1) 7, 6, 7 2) 5, 7.5, 6

MONOMIAL 1) 6x

MORE 1) x = 17 + 5

MULTIPLE 1) 30, 60, 90, ... 2) 108, 120, 132, 144

MULTIPLICATION 1) 2904 2) 0.676 3) 1 4) x3 + 7xý + 14x + 8

MULTIPLICATIVE INVERSE 1) 4 2) 4 3) 1.25

MULTIPLE 1) 30, 60, 90, ... 2) 108, 120, 132, 144

N

NATURAL NUMBER 1) 194, 195, 196, 197, 198, 199, 200, 201, 202, 203

NEGATIVE NUMBER 1) -4, -ã, -0.381, -û16, -(-(-3))

NINE 1) 81 2) 729

NINETEEN 1) 60

NONAGON 1) 72 units

NONVERTICAL a, b, and c

NUMBER LINE

O

OBTUSE 1) A's supplement measures 60ø.

OCATGON 1) 45ø 2) 135ø 3) 45ø 4) 315ø 5) 22.5ø

ODD NUMBER 1) no

OPERATION 1) subtraction

OPPOSITE 1) -1

ORDER 1) 1/6, 1/4, 2/5, 5/12 2) n, t, e (the first letters of the natural numbers arranged in order starting with the smallest

ORDERED PAIR 1) 12 2) 1 3) 3 4) 3

ORDINAL NUMBER 1) 17 2) 125 3) 81 4) hundred-thousandths

ORDINATE 1) +17

P

PAIR 1) ABC AND CBD, or similar answers in which A, C, and D are different points and B is the ver tex. 2) adjacent, supplementary, vertical, complementary

PARALLEL 1) parallelogram -- squares, rhombuses, and rectangles are in this set 2) y = 3x + b, b +2 or -1

PARALLELOGRAM 1) T, F, F

PARENTHESIS 1) 9 2) -4.5

PART 1) 150

PENTAGON 1) 72ø

PER 1) 60% 2) 12%

PERIMETER 1) 39 ft. 2) 52 ft. 3) 78 ft. 4) 104 ft. 5) 130 ft. 6) 65 ft. 7) 91 ft.

PERPENDICULAR 1)

PI1) V = 4ãr3/3

PLACE billions, hundred millions, ten thousands, tens, ones, thousandths, millionths, ten-millionths

PLURAL 1) fifties

POINT-SLOPE 1) y - 5 = 7( x - 8)

POLYHEDRON 1) decahedron

POLYGON 1) decagon

POSITIVE 1) F 2) T

POWER 1) 104 is 10,000

PRIME 1) 41, 43, 47, 53 2) 3

PRINCIPAL ROOT 1) 5 2) 6 3) -2 4) 2

PRISM 1) 225 cubic units

PRODUCT 1) x(12 - x) 2) even 3) 5x = 14 + 7

PROPORTION 1) $10.75

PROTRACTOR 1) Use the scale which indicate 0ø degrees at the angle's initial side.

PYRAMID 1) 64 cm3

PYTHAGOREAN THEOREM 1) 10 cm

Q

QUADRANT 1) IV 2) III 3) I

QUADRATIC 1) x = 8, -2

QUADRATIC FORMULA 1) 8, -22) -2i, 2i 3) 1 ñ û2 4) -2, 2 5) The DISCRIMINANT is the û(bý - 4ac) part of the formula. If it is zero, there is only one root (called a double root). If it is negative, the two roots are complex. If it is positive, the two roots are real.

QUADRILATERAL 1) square, rectangle 2) rectangle, parallelogram, square, rhombus 3) trapezoid4) square, rhombus

QUADRILLION 1) 4,306,000,017,055,000

QUANTITY 1) 4(x-2) 2) (x-3)(x + 4) 3) (x-3)x + 4

QUARTERLY 1) $20 2) $21.55

QUOTIENT 1) 5.25

R

RADIUS 1) 2.5 cm 2) 2 cm

RAISE 1) 625 2) x3 - 6xý + 12x - 8 3) 4th

RATE1) (4 cans)/(6 hours) or 2/3 cans/hour 2) 25%

RATIONAL all but û3/7

RAY 1) 6 2) ray AB, ray BA, ray BC, ray CB

REAL all except û(9 - 16)

RECIPROCAL 1) 2 2) -1/4 3) 2/11 4) 1/x

RECTANGLE 1) 20 m, 24 mý 2) 8x + 8 meters, 3xý + 4x square meters

REGULAR 1) 60

RIGHT 1) right angle

ROUND 1) 500

S

SCALENE 1) 12 cm2) 6 cmý

SECANT 1) 2 2) 1/2 3) 2 4) -2 5) use the reciprocal of the cosine

SECOND 1) 86,400

SEGMENT 1) diagonal 2) diameter 3) radius

SEMIANNUALLY 1) $4840

SET 1) {7} 2) { } 3) {2}

SEVEN 1) 7, 14, 21, 28, 35, 42, 56, 63, 70, 77, 84 2) 1, 7 3) prime

SEVENTY 1) 3(100) + 7(10) + 6; 376

SIMPLIFY 1) 6x + 7 2) -3û3

SIMULTANEOUS 1) (3,-2) 2) (4, -8/5)

SINE 1) 1/2 2) 0 3) .5 4) -.5

SIXTEEN 1) 252

SIXTY 1) 1 and 60, 2 and 30, 3 and 10, 4 and 15, 5 and 12, 6 and 10

SLOPE 1) 1

SLOPE-INTERCEPT 1) y = 4x - 10

SMALLER 1) y - 9 2) 9 = y - 12 3) 9 4) 9 < y

SPECIAL ANGLE 1) 45ø, 60ø

STANDARD NOTATION 1) 546

SUBTRACTION 1) 1« 2) -1.4

SUM 1) 7 2) 25.02

SUPPLEMENTARY 1) 90ø

T

TANGENT 1) 4

TENTH 1) 4.7 2) 6

TERM 1) -5x 2) 2x 3) 9xý, 4/3, -5, (x+2)(x-6)

THIRTEEN 1) 3 and 4

THREE 1) 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36

THOUSAND 1) 10

TOTAL 1) 705.23

TRAPEZOID 1) 22 sq. ft.

TRILLION 1) four hundred twenty-three trillion, eight hundred ninety-one billion, nineteen million, four hundred ten thousand, three

TRINOMIAL1) x + 5 2) 5th

TWELVE 1) 144

TWICE 1) 96

TWO 1) tenths

U, V

UNIT 1) foot, meter, inch, yard

VALUE 1) 25

VARIABLE 1) y has no maximum value

VARIATION 1) C = ãd 2) A = k/x 3) A = kx/zý 4) 1.2

VERTEX, VERTICES 1) A, B, C2) B

VERTICAL 1) x = 7

VERTICAL ANGLE 1) ABD and CDE; DBE and ABC 2) 23ø, 67ø, 67ø

VISUALIZE 1) 2

VOLUME 1) cubic centimeter, liter, cup, gallon 2) 56 cubic units 3) 12 cm3 4) 60.75 cubic units

W, X

WHOLE NUMBER 1) 19, û25, 16, 0/3, 5/5, -2 + 6 2) 18

WIDTH 1) 8 units

X-AXIS 1) (2, 0) The solution is the abscissa of the point where the oblique, titled, line crosses the x-axis.

X-INTERCEPT 1) (5, 0) 2) x = +2, -3 3) (2, 0) and (-3, 0) 4) The roots in problem 2 are the abscissa of problem 3. Roots of an equation in x are the abscissas of the x-intercepts.

Y, Z

YARD 1) 12 ft.2) 1760 yd.

Y-AXIS 1) the origin, (0,0)

Y-INTERCEPT 1) (0, 5) 2) y = -4x - 3

ZERO 1) 5

© 1998 MATHEMATICAL CONCEPTS, inc. 85 First St., Keyport, NJ 07735-1503 asquared@excaliber.net     (732) 739-3951 http://www.excaliber.net/math/spoken/answers.htm     Revised: 6/17/98