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Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

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Start 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 NowStart now and get better math marks!

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Bring on more grid papers! In this chapter, we're going to study functions. Functions are notations that tell us what the value of y is for every value of x. By carrying out the vertical line test, we are able to find out the relationships of ordered pairs.

Basic concepts: Solving linear equations by graphing, Relationship between two variables, Understand relations between x- and y-intercepts, Domain and range of a function,

- 1.Are the following sets of ordered pairs functions?a)(4,3), (2,6), (-3,4), (-2,5)b)(4,5), (4,-3), (2,6), (3,2)c)(3,6), (2,6), (5,3), (1,2)
- 2.Which of the following is a function?

- 3.Using the table of values to answer the questions below:a)
X value -5 -3 -1 1 3 Y value 3 1 -1 -2 -3 b)X value -5 -3 -1 1 3 Y value 2 2 -1 -2 -3 c)X value -5 -5 -1 1 3 Y value 2 3 2 3 -3

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