Review - Linear Equations

Formulas

100

In the formula, y = mx + b , what letter represents the slope?

m

200

In the formula, y = mx + b , what does the b represent?

the y-intercept

300

What is the Formula for Standard from

Ax + By = C

400

What is the slope formula?

m = y₂ - y₁ / x₂ - x₁

500

What is the Formula for the N^th term?

a₁ + (n-1) * d

Intercepts

100

What is an intercept?

It crosses either the x axis or y axis

200

What do you plug into equations to find an intercept?

0

300

What is the y-intercept in the following equation?

y = -4x - 2

-2

400

What is the importance of finding the intercepts? What they can tell you or help you do?

They can help you either graph and equation, or describe a graph

500

Find the X and Y intercepts from the following equation:

2x + 4y = 12

x = 6

y = 3

Slopes

100

Identify the slope of the following equation. y = 2x + 3

2

200

What kind of slope gives you an error on the calculator?

Undefined or Vertical

300

You are asked to graph the equation y = -2x + 5. After you graph the y-intercept, describe how you move graph the slope.

Move down 2, then right 1.

400

What is slope intercept form?

y = mx + b

500

There are 5 different ways we used to describe slope. Name 3 of them!

Possible answers: (1) rate of change, (2) rise over run, (3) y = mx + b, (4) m, (5) slope formula y₂ - y₁ / x₂ - x₁

RANDOM ?'s

100

What is the center of the graph called?

The origin

200

What makes a "Graph" proportional?

It's straight and through the Origin

300

What is slope of a Horizontal Line?

0

400

Put this equation in standard form: 8 + 4y = 16x

-16x + 4y = 8

500

Is x = 2 a solution to the equation 2(x - 5) + 3 = 13  ?

No it is not a solution.

Sequences

100

What is an arithmetic sequence?

A sequence formed by constant addition

200

Find the next 3 terms of the following sequence: -21, -15, -9, . . . 

-3, 3, 9

300

What do the "a₁" and "d" stand for when doing arithmetic sequences?

a₁ = first term, d = common difference

400

How do you actually prove something in an Arithmetic Sequence? What would make something NOT arithmetic?

Has to be constant addition. No breaking pattern, no multiplication.

500

Find the 73rd term in the following sequence: 6, 10, 14, 18 . . .

Hint: Formula = a₁ + (n-1) * d

294