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Algebra 1 (Grade 8) > Chapter 4 > Flashcards

Chapter 4 Flashcards

1
Q

How do you properly graph linear equations?

A

1) Make a table of values
2) Plot ordered pairs
3) Draw a line through the points
4) Make sure line is accurate (corner to corner, arrows on the ends)
5) Write equation on graph

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2
Q

The graph of x=a is a horizontal line passing through _______.

A

the y axis
(0,b)

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3
Q

The graph of x=a is a vertical line passing through ______.

A

The x axis
(a,0)

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4
Q

Make a table for the equation y = 1/2x - 1

A

x y
0 -1
2 0
4 1

Plug the numbers in the x column into the equation

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5
Q

Find the slope of the line through the points (3,7) and (5,19)

A

m= 19-7/5-3 = m= 12/2

m=6

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6
Q

Is a zero line horizontal or vertical?

A

Horizontal

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7
Q

Is a undefined line horizontal or vertical?

A

Vertical

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8
Q

Is the top of a positive line in quadrant I or II?

A

Quadrant I

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9
Q

Is the top of a negative line in quadrant I or II?

A

Quadrant II

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10
Q

x y
1 2
3 10
5 18
7 26

Find the slope.

A

m = 4

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11
Q

(r,3) (5,9)

m = 2

Find the value of r

A

r = 2

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12
Q

Non Vertical parallel lines have the ______ _______.

A

Same slope.

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13
Q

The graph of _______ is a line with a slope of m that passes through the ______.

A

y=mx+b

origin

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14
Q

On a graph, direct variation must be a ________ ____ and go through the _____.

A

Straight line
Origin

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15
Q

In y = mx + b, b equals?

A

The initial value
y intercept

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16
Q

In y = mx + b, m equals?

A

The rate of change, or slope

17
Q

Suppose y directly varies with x.
If y is 20 when x = 4, find y when x = 3

A

y = 15

18
Q

Suppose y varies with x.
If y is 2 when x=8, find x when y equals 9.

A

x = 36

19
Q

y = -7x + 9
Find the slope and y intercept.

A

Slope: -7/1
Y intercept: 9

20
Q

y = x - 12
Find the slope and y intercept.

A

Slope: 1/1
Y intercept: -12

21
Q

y + 8 = -3x
Find the slope and y intercept.

A

Slope: -3/1
Y intercept: -8

22
Q

2y + 10 = 4x
Find the slope and y intercept.

A

Slope: 2/1
Y intercept: -5

23
Q

The height (y) of a moveable bridge after rising for x seconds is represented by the equation y = 3x+ 16. Interpret the y intercept and slope.

How many seconds does it take for the bridge to reach a height of 76 feet?

A

x = 20

The bridge has a height of 16 feet and rises 3 feet per second.

It would take 20 seconds for the bridge to reach a height of 76 feet.

24
Q

The cost (y) in dollars for making x friendship bracelets is represented by the equation y = 0.5x + 2. Interpret the y intercept and slope.

A

The bracelets cost 2 dollars plus 50 cents per bracelet

25
Q

The number of perfume bottles in storage after x months is represented by the equation y = -20 + 460. Interpret the y intercept and slope.

In how many months will there be no perfume bottles left in storage.

A

There were 460 bottles, and 20 bottles get taken out per month.

It will take 23 months for there to be no more bottles in storage.

26
Q

5x + y = -5

Find the X and Y intercepts.

A

x intercept = -1

y intercept = -5

27
Q

2x + 9y = 18

Find the X and Y intercepts.

A

x intercept = 9

y intercept = 2

28
Q

1.5x + 0.6y = 6

Find the X and Y intercepts.

A

x intercept = 4

y intercept = 10

29
Q

1.2x + 0.8y = 12

Find the X and Y intercepts.

A

x intercept = 10

y intercept = 15

30
Q

Students tickets cost 9 dollars and general tickets cost 15 dollars. On one day they collected 4500 dollars. If X represents student tickets and y represents general tickets, find the x and y intercepts.

Interpret the x and y intercepts.

A

9x + 15y = 4500

x intercept = 500

y intercept = 300

You could buy 500 student tickets and 0 general tickets.

You could buy 300 general tickets and 0 student tickets.

31
Q

Is 5x + y = -5 in slope intercept form?

A

No, standard form

Algebra 1 (Grade 8) (2 decks)

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