WARM UP WHAT IS THE SUM OF THE FIRST 100 DIGITS? (1 + 2 + 3 +….+ 98 + 99 + 100)

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WARM UP • WHAT IS THE SUM OF THE FIRST 100 DIGITS? (1 + 2 + 3 +….+ 98 + 99 + 100)

Transcript of WARM UP WHAT IS THE SUM OF THE FIRST 100 DIGITS? (1 + 2 + 3 +….+ 98 + 99 + 100)

Page 1: WARM UP WHAT IS THE SUM OF THE FIRST 100 DIGITS? (1 + 2 + 3 +….+ 98 + 99 + 100)

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• WHAT IS THE SUM OF THE FIRST 100 DIGITS?(1 + 2 + 3 +….+ 98 + 99 + 100)

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• EVALUATE THE EXPRESSION WHERE X = 2 Y = 3 Z = -1

4X(2Y + 3Z)

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• COMBINE LIKE TERMS

-2n – (9 – 10n)

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• SOLVE-5(1 – 5x) + 5(-8x – 2) = -4x – 8x

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• SOLVE-24 < 6(5b – 2) – 8(8b – 7)

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• GRAPH THE LINE3x + y = 5

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• WRITE AN EQUATION FOR THE LINE THAT PASSES THROUGH POINT (-8, -3) AND HAS A SLOPE OF

2

1

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• SOLVE THE SYSTEM• y = x – 7 • 2x + y = 8

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• SOLVE BY ELIMINATION

18710

95

yx

yx

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• HOW MANY INCHES ARE IN A FOOTBALL FIELD (120 YDS)?

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• A FROG IS HOPPING AT A SPEED OF 3 MPH. CONVERT THE FROG’S SPEED TO INCHES PER MINUTE.

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• CONVERT 8 MPH TO INCHES PER MINUTE.

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• 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

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• COMPLETE WITH ALWAYS, SOMETIMES, OR NEVER.

• THREE POINTS ARE ____________ COPLANAR.

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• 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?

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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?

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• A. NAME A PAIR OF PARALLEL LINES.

• B. NAME A PAIR OF PARALLEL PLANES.

• C. NAME A PAIR OF SKEW LINES

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• WHAT IS THE INTERSECTION OF PLANE AEF & PLANE ADC?

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• FIND THE LENGTH OF AB & BC • IF…• AB = 4z – 9• BC = 3z – 12 • AC = 63

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• IF RAY BD BISECTS ANGLE ABC• AND….

• FIND x AND THE MEASURE OF ANGLE DBC.

23

164

xABD

xABC

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• DRAW A DIAGRAM & THEN SOLVE FOR x.• mAOB = 4x 1; • mBOC = 2x + 15; • mAOC = 8x + 8• RAY OB IS BETWEEN ANGLE AOC

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• What is the x-intercept of the line represented by the equation below?

3x + 6y = 30• A. 2• B. 6• C. 10• D. 30

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• WHAT DO YOU CALL A RAY THAT DIVIDES AN ANGLE INTO TWO CONGRUENT ANGLES?

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• SOLVE FOR X & THEN FIND THE MEASURE OF ALL FOUR ANGLES.

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• SOLVE FOR x IF…•

265

843

x

x

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• 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°

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• 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

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• DRAW THREE POINTS THAT ARE COPLANAR BUT NOT COLLINEAR.

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• IF B IS THE MIDPOINT OF AC THEN FIND THE LENGTH OF BC.

• GIVEN: AB = 2x + 3 BC = 3x – 10

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• CH 1 TEST

• ANY QUESTIONS?

• PLEASE PASS IN YOUR NOTES.

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• HOW MANY HANDSHAKES ARE POSSIBLE BETWEEN 4 PEOPLE?

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• 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

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• 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

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• SOLVE ONE STEP AT A TIME AND GIVE A REASON FOR EACH STEP.

• STATEMENT REASON• 2x + 6 = 3x – 5

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• WRITE A TWO – COLUMN PROOF.• GIVEN: l is parallel to m• PROVE: 18061

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• GIVEN:

• PROVE:

130

65

ABC

ABD

ABCBISECTSBD

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• GIVEN:

• PROVE:

a b

m

n

169

127

31

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• IF I’M A FRUIT THEN I’M AN APPLE.• WRITE THE FOLLOWING AND GIVE THE TRUTH

VALUE.• A. CONVERSE

• B. BICONDITIONAL

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• SUPPLEMENTARY ANGLES ADD UP TO 180o

• WRITE• A. CONDITIONAL

• B. CONVERSE

• C. BICONDITIONAL

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IF IT SNOWS THEN THERE WILL BE NO SCHOOL• CONVERSE

• INVERSE

• CONTRAPOSITIVE

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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

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• FIND THE NEXT TWO TERMS.

1, 8, 2, 10, 5, 14, 10,….

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• WRITE A COUNTEREXAMPLE.• IF A NUMBER IS EVEN THEN IT IS ONLY

DIVISIBLE BY 2, 1, AND ITSELF

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• 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.

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• 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…