ALG2

Rate of change

100

what is y=2x+3

the rate of change (slope) is 2.

200

What rate of change is this y=3ln(x)

This shows a logarithmic growth, where the rate of change slows down as x increases.

300

What rate of change is this y=x6

This shows an inverse relationship, where the rate of change decreases as x increases.

400

what rate of change is this problem y=3x2−4x+1

This represents a quadratic relationship, where the rate of change increases or decreases depending on the value of x.

500

What's the exponential growth of y=5e^0.3x

a growth rate of 0.3

Linear Equations

100

Solve for x: 3x−7=2x+5

x = 12

200

Solve for y: 4y+9=2(3y−5)

y = 19/2 or 9 1/2 or 9.5

300

Find the equation of the line that passes through the points (2,5) and (4,9).

m = 2

400

Solve for x: 5(x−3)=2x+10

x = 25/3

500

Solve for x:

3x + 4 / 2 = 5

x = 2

Two step equations

100

2x + 3 = 7

x = 2

200

2x + 5 = 11

x = 3

300

-2a + 6 = 14

A = -4

400

5y - 2 = 13

y = 3

500

0.3y + 5 = 1

y = 40/3

Linear equations

100

3x + 4y -7z =

2

200

-2x + y - z

-6

300

x - 17z =

4

400

4y =

0

500

6x + 5 = 14

3/2

vocab

100

What is an expression with equal sign

Equation

200

What is a function

A relation in which each of the domain is pair with one range

300

what is the FOIL method

First, outer, inner, Last

400

What is Mapping

Domain is paired with each pair of range

500

What is Range

The set of all y-coords, difference between greatest and least data.