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Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

Nope, I got it.

That's that last lesson.

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Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started NowStart now and get better math marks!

Get Started Now- Lesson: 1a1:48
- Lesson: 2a2:12
- Lesson: 2b1:51
- Lesson: 2c1:05
- Lesson: 3a2:16
- Lesson: 4a1:26
- Lesson: 4b1:15

This lesson will teach us the basic concepts of relationship between two quantities in the coordinate system. For instances, is y a dependent variable or independent variable? What is domain and range? What is an ordered pair? What is quadrant? And how do we plot points on a graph?

Related concepts: Reading linear relation graphs, Solving linear equations by graphing, Introduction to quadratic functions,

Coordinate System : A presentation of a real number by points on the real number line using an order pair.

Order pairs: A point ( x , y ) on the coordinate plane. Eg. (-3,5), (0,5)…

Origin: The intersection of x-axis and y-axis $\to ( 0 , 0 )$

Relations: Sets of ordered pairs ( x , y )

Domain: All the x-values on the coordinate system

Range: All the y-values on the coordinate system

Independent Variable: The "x" values, which are also known as the inputs when solving for a solution.

Dependent Variable: The "y" values, which are also known as the outputs when solving for a solution.

Order pairs: A point ( x , y ) on the coordinate plane. Eg. (-3,5), (0,5)…

Origin: The intersection of x-axis and y-axis $\to ( 0 , 0 )$

Relations: Sets of ordered pairs ( x , y )

Domain: All the x-values on the coordinate system

Range: All the y-values on the coordinate system

Independent Variable: The "x" values, which are also known as the inputs when solving for a solution.

Dependent Variable: The "y" values, which are also known as the outputs when solving for a solution.

- 1.Understanding the difference between X & Ya)

- 2.Express the relation using mapping notation and ordered pairs.a)x = { -5 , -3 , -1 , 1 , 3 }

y = { 2 , 4 , 6 , 10 , 12 }b)x = { -4 , -2 , 0 , 2 , 4 }

y = { 3 , 3 , 3 , 3 , 3 }c)(1,3) , (2,2) , (3,1) - 3.Indicate the quadrant of the following points.a)(5, -3) (-3, 4) (-4, -3) (2, -6)
- 4.Plot or find the points on the grida)Find the coordinates A, B, C & D points

b)Plot the following points on the grid:

(4,5), (-2, 4), (-4,-3) & (5,-6)

8.

Linear Functions

8.1

Relationship between two variables

8.2

Understand relations between x- and y-intercepts

8.3

Domain and range of a function

8.4

Identifying functions

8.5

Function notation

8.6

Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

8.7

Midpoint formula: $M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)$

8.8

Slope equation: $m = \frac{y_2-y_1}{x_2- x_1}$

8.9

Slope intercept form: y = mx + b

8.10

General form: Ax + By + C = 0

8.11

Point-slope form: $y - y_1 = m (x - x_1)$

8.12

Rate of change

8.13

Graphing linear functions using table of values

8.14

Graphing linear functions using x- and y-intercepts

8.15

Graphing from slope-intercept form y=mx+b

8.16

Graphing linear functions using a single point and slope

8.17

Word problems of graphing linear functions

8.18

Parallel and perpendicular lines in linear functions

8.19

Applications of linear relations

We have over 1130 practice questions in Basic Algebra for you to master.

Get Started Now8.1

Relationship between two variables

8.2

Understand relations between x- and y-intercepts

8.3

Domain and range of a function

8.4

Identifying functions

8.5

Function notation

8.6

Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

8.7

Midpoint formula: $M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)$

8.8

Slope equation: $m = \frac{y_2-y_1}{x_2- x_1}$

8.9

Slope intercept form: y = mx + b

8.10

General form: Ax + By + C = 0

8.11

Point-slope form: $y - y_1 = m (x - x_1)$

8.12

Rate of change

8.17

Word problems of graphing linear functions

8.18

Parallel and perpendicular lines in linear functions

8.19

Applications of linear relations