DECK 2: ALGEBRA 1 TOPICS Flashcards Preview

2020 BC BLOCK ALGEBRA 2 > DECK 2: ALGEBRA 1 TOPICS > Flashcards

Flashcards in DECK 2: ALGEBRA 1 TOPICS Deck (39)
Loading flashcards...
1

What is a solution to an equation?

A solution is the set of values that makes an equation TRUE.

2

What does it mean to "satisfy" an equation?

Make the equation true.

3

When you graph a line, what are you actually graphing?

THE SOLUTION! Those are all of the points that make the equation true. All of the points that "work". If you put any other pionts, (x,y) into the equation, they wont work, You will get a false statement.

4

When you graph a line, what is it?

It is a bunch of points!!! all have coordinates (x,y)

5

How can you find the x intercepts from an equation of a line?

Plug zero in for Y, and solve for X. The coordinates will be ( X, 0)

6

How can you find the y intercepts from an equation of a line?

Plug zero in for X and solve for Y. The coordinates wll be (0, Y)

7

What is the slope formula you use when trying to find the slope if you are given two points?

m = ( y - y ) / ( x - x )

8

The three forms of equations of a line we use are :

point-slope form, slope-intercept form, general form

9

Why is it called "point-slope" form?

There is a point and a slope explicitly shown in the form

10

what is point-slope form a rearrangement of?

A rearrangement of the slope formula: y-y =m (x-x)

11

What is the "point slope" form?

y-y = m (x-x)

12

What is the slope-intercept form?

y = mx + b

13

Why is it called "slope-intercept" form?

There is a slope and a slope explicitly shown in the formula

14

What is the "standard" form?

ax + by = c no fractions or decimals and "a" is positive

15

y=mx+b what form?

slope intercept

16

y-y= m (x-x) what form?

point slope

17

ax + by = c what form?

standard

18

y = 1/2 x - 8 what form?

slope intercept

19

y - 7 = 3 ( x + 9) what form?

point slope

20

4x - 7y = 28 what form?

standard

21

y = 1/2 x - 8 what is the slope?

1/2

22

y - 7 = 3 ( x + 9) what is the slope?

3

23

y = 1/2 x - 8 what point is given?

(0, -8) , the y intercept

24

y - 7 = 3 ( x + 9) what point is given?

(-9, 7) it is in point slope form

25

4x - 7y = 28 what is x intercept?

plug 0 in for y, 28/4=8, so (8,0)

26

4x - 7y = 28 what is x intercept?

plug 0 in for x, 28/-7=-4, so (0,-4)

27

parallel lines have ______

the same slope

28

perpendicular lines have _____

opposite AND reciprocal slopes (switch sign and flip the fraction)

29

How can you find the slope if it is in standard form?

Solve for y and change it into slope intercept form.

30

How can you always get rid of fractions in any equation?

Multiply every term by the LCD (plop the LCD in the numerators, then simplify and all of the fractions VANISH!!!!)