Welcome To Big Board Facts

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Welcome To Big Board Facts. Today's Topics. NEXT. Slope. NEXT. Equations of a line. NEXT. Parallel/ Perpendicular. NEXT. Functions/ Domain & Range. NEXT. Inequalities & Absolute Value. NEXT. Big Board Facts. Slope. 5. 10. 15. 20. 25. Equations of a line. 5. 10. 15. - PowerPoint PPT Presentation

Transcript of Welcome To Big Board Facts

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15

20

25

5 10Slope

Equations of a line

Parallel/ Perpendicular

Functions/Domain &

Range

Inequalities & Absolute

Value

5

5

5

5

10

10

10

10

15

15

15

15

20

20

20

25

25

25

25

20

Team OneTeam One

Team TwoTeam Two

Team ThreeTeam Three

Team FourTeam Four

Team FiveTeam Five

Team SixTeam Six

SLOPE 5 Points

Calculate the slope of a line passing through the points

below F(9,11) E(12,7)

Show Answer

SLOPE

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SLOPE 10 Points

Calculate the slope from the graph below

Show Answer

SLOPE

Back to Board

2

1

run

risem

Run = 2

Rise =1

SLOPE 15 Points

Raj charts the volume of water in a leaky water tank. The volume, in gallons, over time, in minutes, is shown on the graph.

What is the rate, in gallons per minutes, at which the volume of water in the tank is decreasing?

Show Answer

SLOPE

-0.3 gallons per minuteBack to Board

SLOPE 20 Points

The slope of a line is -2 and the line contains the points (7,4)

and (x, 12). What is the value of x?

Show Answer

SLOPE

3

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SLOPE 25 Points

Show Answer

The graph shows the distance between an airplane in flight and a control tower over time.

Which statement best describes the aircraft’s movement?A.The airplane is moving toward the tower at a rate of 2.5 miles per minute.B.The airplane is moving toward the tower at a rate of 25 miles per minute.C.The airplane is moving away from the tower at a rate of 2.5 miles per minute.D.The airplane is moving away from the tower at a rate of 25 miles per minute.

SLOPE

A

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EQUATIONS OF A LINE

5 Points

Show Answer

Find the equation of the line with the given slope that passes through the given point m=2 and (-1,5)

EQUATIONS OF A LINE

y=2x+7

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EQUATIONS OF A LINE

10 Points

Show Answer

Write the equation of the line graphed below. Express your answer in standard form.

EQUATIONS OF A LINE

3x+y=8Back to Board

Run = 1

Rise = -3

EQUATIONS OF A LINE

15 Points

Show Answer

Find the equation of the line that passes through the following two

points: (1,12) and (-3,5)

Express your answer in slope intercept form.

EQUATIONS OF A LINE

Back to Board

4

41

4

7 xy

EQUATIONS OF A LINE

20 Points

Show Answer

Write the equation of the line pictured in the graph below. Express your answer in slope intercept form

EQUATIONS OF A LINE

y=-3x+4Back to Board

Run = 1

Rise = -3

EQUATIONS OF A LINE

y=6x-43

Back to Board

PARALLEL/PERPENDICULAR

5 Points

Show Answer

Line l is perpendicular to line m below. What is the slope of line l?

PARALLEL/PERPENDICULAR

Back to Board

11

PARALLEL/PERPENDICULAR

Show Answer

Which of the following graphs shows a line parallel to ?4

5

2 xy

PARALLEL/PERPENDICULAR

D

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PARALLEL/PERPENDICULAR

Show Answer

On the coordinate grid below, line l is parallel toWhat is the slope of line l?

AB

PARALLEL/PERPENDICULAR

Back to Board

7

2

PARALLEL/PERPENDICULAR

Show Answer

Yael graphs line on a coordinate grid through points A(-10,4) and B(5,3). If is perpendicular to , what is the slope of ?

AB

AB BCBC

PARALLEL/PERPENDICULAR

15

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PARALLEL/PERPENDICULAR

25 Points

Show Answer

City engineers use a map of the city showing street locations on a coordinate grid. The section below shows the map coordinates of two points on Main Street and one point on Elm Street.

If Main Street runs perpendicular to Elm Street, which of the following equations best describes the path of Elm Street?

A. y=-3x+18 B. y=3x C. D. 103

1 xy 8

2

1 xy

PARALLEL/PERPENDICULAR

A

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FUNCTIONS/DOMAIN & RANGE 5 Points

Show Answer

Which set of ordered pairs does NOT represent a function?

A.{(4,8), (1,8), (5,11), (0,0)}B.{(2,1), (1,2), (2,0), (5,5)}C.{(0,0), (1,1), (2,4), (3,9)}D. {(1,7), (4,7), (7,7), (10,7)}

FUNCTIONS/DOMAIN & RANGE

B

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FUNCTIONS/DOMAIN & RANGE

10 Points

Show Answer

Damon recorded the daily high temperature (in degrees Celsius) in his back yard for 12 consecutive days and graphed the results.Which of the following valuesis NOT in the range of temperatures in the graph?

A. 13 B. 15 C. 22 D. 26

FUNCTIONS/DOMAIN & RANGE

D

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FUNCTIONS/DOMAIN & RANGE

15 Points

Show Answer

Set A={(1,4), (4,7), (3,7), (5,9), (9,2)}

Which of the following statements is NOT true?

A.The domain of A is {1, 4, 3, 5, 7, 9}B. A is a functionC. The range of A is {4, 7, 9, 2}D. A is a relation

FUNCTIONS/DOMAIN & RANGE

A

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FUNCTIONS/DOMAIN & RANGE

20 Points

Show Answer

If {-3, -1, 1, 2, 3} is the domain, what is the range of

A.{-3, -1, 1, 2}B.{0, 2, 6, 12}C.{1, 4, 9}D.{-3, -2, -1, 1}

xxxf 2

FUNCTIONS/DOMAIN & RANGE

B

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FUNCTIONS/DOMAIN & RANGE 25 Points

Show Answer

A farmer uses a large cylindrical water tank for irrigation. When the farmer waters his fields, the depth in the tank decreases at a steady rate of 0.3 inch per minute. After 20 minutes of watering, the depth of the water in the tank is 9 inches. Which graph shows the relationship between d, the depth of the water in inches, and t, the time in minutes?A. B. C.

FUNCTIONS/DOMAIN & RANGE

B At x=20 y value is at 9

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INEQUALITIES & ABSOLUTE VALUE

5 Points

Show Answer

Karen graphed the inequality shown on the coordinate plane. Which of the following inequalities best represents the graph?

A.

B.

C.

D.

23

1 xy

23

1 xy

23

1 xy

23

1 xy

INEQUALITIES & ABSOLUTE VALUE

C

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INEQUALITIES & ABSOLUTE VALUE

10 Points

Show Answer

Which of the following shows the solution to the inequality shown below?

A.

B.

C.

D.

16)5(21 nn

72 n

3414 n

161 n

111 n

INEQUALITIES & ABSOLUTE VALUE

D

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INEQUALITIES & ABSOLUTE VALUE 15 Points

Show Answer

The graph shows a system of linear inequalities. Which of the following (x,y) coordinate pairs is NOT a solution to the system of inequalities?

A. (0,0)

B. (0,6) C. (-5,0)

D. (0,-2)

4889

25

yx

xy

INEQUALITIES & ABSOLUTE VALUE

Solutions are in the shaded region or on a SOLID line

X A in shaded region

√ B on dotted line

X C in shaded region

X D on solid lineBack to Board

INEQUALITIES & ABSOLUTE VALUE

20 Points

Show Answer

Which graph shows the solution to the inequality shown below?

A.

B.

C.

D.

193)2(49 m

INEQUALITIES & ABSOLUTE VALUE

Answer for 20 Points

B

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INEQUALITIES & ABSOLUTE VALUE

Show Answer

Solve the absolute value inequality

1482 x

INEQUALITIES & ABSOLUTE VALUE

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311 x

Show Question

“Big Points” Question

Which of the following linear systems has infinitely many

solutions? A. 15x + 5y = 20 B. 15x - 5y  = 20 6x – 2y = 8 6x – 2y = -8

 C. 15x – 5y = -20 D. 15x – 5y = 20 6x – 2y = 8 6x – 2y = 8

 Show Answer

302928272625242322212019181716151413121110987654321

Big Points

Answer for Big Points

D

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