Chapters 1-4 Flashcards

1
Q

Rational numbers

A

Numbers that can be written as fractions or decimals that end or repeat. Ex. 1/2, .45, etc.

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2
Q

Integers

A

Whole numbers and their opposites. -1, 1, -2, 2, 0 etc.

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3
Q

Whole numbers

A

0,1,2,3. Etc. no negatives, fractions, or decimals

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4
Q

Natural numbers

A

1,2,3,4 etc. also called counting numbers

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5
Q

Irrational numbers

A

Numbers that never repeat or end

Ex. pi or square root 2

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6
Q

Real numbers

A

Any number we have studied so far!

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7
Q

To add fractions you need…

A

A common denominator

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8
Q

To multiply fractions you

A

Multiply across

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9
Q

To divide fractions you..

A

Keep the first fraction
Change to multiplication
Flip the second fraction

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10
Q

On the motion dectector, moving forward goes ___________ and moving backward or away goes_______________

A

Down, up

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11
Q

If one speed is faster than another than the slope of the faster line will appear ________________

A

Steeper

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12
Q

For graphing motion, the X-axis measures_____________and the y-axis measures _________________

A

Time, distance

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13
Q

If two lines are parallel, then their slopes________________________

A

Are the same

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14
Q

If two lines are perpendicular, then their slopes are

A

Opposite reciprocals Ex. 2/3 would be -3/2

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15
Q

What do you do:

Find an equation for a line through (2,4) and (-2,5) in slope intercept form

A

Start by finding the slope using y2-y1/x2-X1. Then set up a proportion using the slope and one point

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16
Q

What do you do:

Find the equation for a line with slope 4 through (1, 5)in slope intercept form

A

Set up a proportion using the slope and the point. 4/1 = y-5/X-1

17
Q

What do you do:

Write in point slope form if you know the slope is 4 and it goes through (2,5)

A

Plug in 4 for m and (2,5) for X1 and y1

Y-5=4(X-2)

18
Q

How do you graph y =2/3x - 4?

A

Start at -4 on the y-axis and go up 2, over 3

19
Q

Name all the perfect squares from 1-100

A

1,4,9,16,25,36,49,64,81,100

20
Q

How do you test for direct variation?

A

Divide y/X for each ordered pair and check if all the ratios are the same

21
Q

What is a function?

A

A relation where for every X there is exactly one y.

22
Q

How do you test to see if a graph is a function?

A

Vertical line test

23
Q

What do you do first?

Find the equation of a line perpendicular to y = 3x + 2 through (4,3).

A

Change the slope from 3/1 to -1/3