8th Grade - Linear Relations and Functions

rate of change

100

The rate of change is often represented by this letter.

m

200

Find the rate of change given:
y= -20/4x + 9 

-5

300

Find the rate of change using:
(7, 10) (12, 20)

2

400

Is the rate of change for the following line is increasing or decreasing?
-2y+10x=30

increasing

500

Find the rate of change for the following formula:
-21x + y + 7x = -5

14

initial vlaue

100

The initial value is usually represented by this letter.

b

200

This is the initial value of the equation:
y = -4x - 5

-5

300

Determine the initial value in the equation:
3x + 4y = 12

3

400

Given y = -3x + 7, this is the value of y when x is 0.

7

500

The initial value for a line connecting the following points:
(-1, 6) and (5, -30)

0

vocabulary

100

Rate of change is another term for this aspect in mathematics related to graphs.

slope

200

Initial value is another word for the...

y-intercept

300

This is the equation used to find the rate of change between two coordinates.

y₂ - y₁ / x₂ - x₁

400

The standard form of a linear equation.

y = mx + b

500

The place on the graph where x = 0 is the...

y-intercept

writing equations

100

The equation for a line with an initial value of 7 and a slope of -15/3

y = -5x + 7

200

The equation for a horizontal line that crosses through point (6,-28)

y = -28

300

The equation for "three less than six times a number (n) is 21".

6n - 3 = 21

400

A line with a y-intercept of (0, -6) which crosses through point (3, 6) has the equation...

y = 4x - 6

500

The equation for a line with a slope of 1/2 crossing through point (12,-15).

y = 1/2 x - 21 or
y = 0.5 x - 21

solving equations

100

Simplify:
-3(2x - 3) - 4x

-10x + 9

200

The number of solutions to:
7x - 4 = -7x + 4

one solution

300

The number of solutions to:

5x - 12 = 7x + 3 - 2x - 15

infinite solutions

400

Adding 4 to a number divided by -2 gives you -3. What is the number?

-3 

500

Solve:
7(2x + 4) - 8 = -4x + 11

x = - 0.5 or
x = - 1/2