WARM UP WHAT IS THE SUM OF THE FIRST 100 DIGITS? (1 + 2 + 3 +….+ 98 + 99 + 100)
-
Upload
reynold-barrett -
Category
Documents
-
view
218 -
download
0
Transcript of WARM UP WHAT IS THE SUM OF THE FIRST 100 DIGITS? (1 + 2 + 3 +….+ 98 + 99 + 100)
WARM UP
• WHAT IS THE SUM OF THE FIRST 100 DIGITS?(1 + 2 + 3 +….+ 98 + 99 + 100)
WARM UP
• EVALUATE THE EXPRESSION WHERE X = 2 Y = 3 Z = -1
4X(2Y + 3Z)
WARM UP
• COMBINE LIKE TERMS
-2n – (9 – 10n)
WARM UP
• SOLVE-5(1 – 5x) + 5(-8x – 2) = -4x – 8x
WARM UP
• SOLVE-24 < 6(5b – 2) – 8(8b – 7)
WARM UP
• GRAPH THE LINE3x + y = 5
WARM UP
• WRITE AN EQUATION FOR THE LINE THAT PASSES THROUGH POINT (-8, -3) AND HAS A SLOPE OF
2
1
WARM UP
• SOLVE THE SYSTEM• y = x – 7 • 2x + y = 8
WARM UP
• SOLVE BY ELIMINATION
18710
95
yx
yx
WARM UP
• HOW MANY INCHES ARE IN A FOOTBALL FIELD (120 YDS)?
WARM UP
• A FROG IS HOPPING AT A SPEED OF 3 MPH. CONVERT THE FROG’S SPEED TO INCHES PER MINUTE.
WARM UP
• CONVERT 8 MPH TO INCHES PER MINUTE.
WARM UP
• The first five terms of a linear sequence are shown below.8, 6, 4, 2, 0, . . .What is the 100th term in the sequence?A. –192B. –190C. –108D. –90
WARM UP
• COMPLETE WITH ALWAYS, SOMETIMES, OR NEVER.
• THREE POINTS ARE ____________ COPLANAR.
WARM UP
• 1. ARE B & G COLLINEAR?
• 2. ARE B, E, & A COPLANAR?
• 3. ARE E, B, G, & F COPLANAR
• 4. IS LINE GH AND POINT A COPLANAR?
• 5. WHERE DOES LINE DF & LINE BC INTERSECT?
WARM UP• A. WHERE DO PLANES AEF & GHE INTERSECT?
• B. NAME TWO PLANES THAT INTERSECT AT LINE DC.
• C. ARE LINE EF & POINT H COPLANAR?
• D. ARE POINTS G, H, C, & B COPLANAR?
WARM UP
• A. NAME A PAIR OF PARALLEL LINES.
• B. NAME A PAIR OF PARALLEL PLANES.
• C. NAME A PAIR OF SKEW LINES
WARM UP
• WHAT IS THE INTERSECTION OF PLANE AEF & PLANE ADC?
WARM UP
• FIND THE LENGTH OF AB & BC • IF…• AB = 4z – 9• BC = 3z – 12 • AC = 63
WARM UP
• IF RAY BD BISECTS ANGLE ABC• AND….
• FIND x AND THE MEASURE OF ANGLE DBC.
23
164
xABD
xABC
WARM UP
• DRAW A DIAGRAM & THEN SOLVE FOR x.• mAOB = 4x 1; • mBOC = 2x + 15; • mAOC = 8x + 8• RAY OB IS BETWEEN ANGLE AOC
WARM UP
• What is the x-intercept of the line represented by the equation below?
3x + 6y = 30• A. 2• B. 6• C. 10• D. 30
WARM UP
• WHAT DO YOU CALL A RAY THAT DIVIDES AN ANGLE INTO TWO CONGRUENT ANGLES?
WARM UP
• SOLVE FOR X & THEN FIND THE MEASURE OF ALL FOUR ANGLES.
WARM UP
• SOLVE FOR x IF…•
265
843
x
x
WARM UP
• In the diagram below, lines h and j are parallel. Line k and line m intersect lines h and j.
• Based on the angle measures in the diagram, what is Angle 1?
• A. 50°• B. 60°• C. 120°• D. 130°
WARM UP
• In the diagram below JL is parallel to KM, Based on the angle measures in the diagram, what is the value of y?
• A. 75• B. 90• C. 95• D. 120
WARM UP
• DRAW THREE POINTS THAT ARE COPLANAR BUT NOT COLLINEAR.
WARM UP
• IF B IS THE MIDPOINT OF AC THEN FIND THE LENGTH OF BC.
• GIVEN: AB = 2x + 3 BC = 3x – 10
WARM UP
• CH 1 TEST
• ANY QUESTIONS?
• PLEASE PASS IN YOUR NOTES.
WARM UP
• HOW MANY HANDSHAKES ARE POSSIBLE BETWEEN 4 PEOPLE?
WARM UP
• The first five terms of a number sequence are 2, 4, 6, 10, 16, . . .
• The rule for the sequence is: After the first two numbers, each number is the sum of the two previous numbers.
• What is the eighth term of the sequence? • A. 22 B. 34 C. 46 D. 68
WARM UP
• The first four numbers in a geometric sequence are shown below. 2, 8, 32, 128, . .
• What is the next number in the sequence?
• A. 160 • B. 224• C. 256• D. 512
WARM UP
• SOLVE ONE STEP AT A TIME AND GIVE A REASON FOR EACH STEP.
• STATEMENT REASON• 2x + 6 = 3x – 5
WARM UP
• WRITE A TWO – COLUMN PROOF.• GIVEN: l is parallel to m• PROVE: 18061
WARM UP
• GIVEN:
• PROVE:
130
65
ABC
ABD
ABCBISECTSBD
WARM UP
• GIVEN:
• PROVE:
a b
m
n
169
127
31
WARM UP
• IF I’M A FRUIT THEN I’M AN APPLE.• WRITE THE FOLLOWING AND GIVE THE TRUTH
VALUE.• A. CONVERSE
• B. BICONDITIONAL
WARM UP
• SUPPLEMENTARY ANGLES ADD UP TO 180o
• WRITE• A. CONDITIONAL
• B. CONVERSE
• C. BICONDITIONAL
WARM UP
IF IT SNOWS THEN THERE WILL BE NO SCHOOL• CONVERSE
• INVERSE
• CONTRAPOSITIVE
WARM UP
NAME EACH PROPERTY• A. IF A = B AND B = C, THEN A = C• B. F = F • C. IF W = T THEN T = W• D. IF D + 7 = 12 THEN D +7 + 8 = 12 + 8• E. IF C = H AND H + 5 = 2 THEN C + 5 = 2
WARM UP
• FIND THE NEXT TWO TERMS.
1, 8, 2, 10, 5, 14, 10,….
WARM UP
• WRITE A COUNTEREXAMPLE.• IF A NUMBER IS EVEN THEN IT IS ONLY
DIVISIBLE BY 2, 1, AND ITSELF
WARM UP
• WHAT CAN YOU CONCLUDE FROM THE INFORMATION?
• IF YOU GET TO HOMEROOM BEFORE 7:35 AM THEN YOU WILL BE MARKED PRESENT.
• ROMEO GOT TO HOMEROOM AT 7:33.
WARM UP
• USE THE LAW OF SYLLOGISM TO FINISH THE THIRD STATEMENT.
• 1. IF PETER LIVES ON SPOONER STREET THEN HE LIVES IN QUAHOG.
• 2. IF PETER LIVES IN QUAHOG THEN HE LIVES IN RHODE ISLAND.
• 3. IF PETER LIVES ON SPOONER STREET THEN…