Lesson 2 I Rule! Solidify Understanding

Ready

Rewrite each expression as the product of two binomials.

Each expression involves two multiplication problems separated by a or sign. Each multiplication problem contains a matching binomial factor that can be factored out so that the expression becomes a product of two binomials.

Example:

  • Factor out and write the numbers that remain .

  • Rewrite as .

1.

2.

3.

4.

5.

6.

7.

8.

Set

In each set of three functions, one will be linear, one will be exponential, and one will be a quadratic function. Explain the nature of change for the function and find an explicit and recursive equation for each.

9.

a.

Type of function and nature of change:

Explicit equation:

Recursive equation:

b.

Type of function and nature of change:

Explicit equation:

Recursive equation:

c.

Type of function and nature of change:

Explicit equation:

Recursive equation:

10.

a.

Type of function and nature of change:

Explicit equation:

Recursive equation:

b.

Type of function and nature of change:

Explicit equation:

Recursive equation:

c.

Type of function and nature of change:

Explicit equation:

Recursive equation:

11.

Graph the functions from the tables in problem 9. Add any additional characteristics you notice from the graph. Place the axes so that you can show all points. Identify your scale. Write the explicit equation above the graph.

a.

Equation:

a blank coordinate plane

b.

Equation:

a blank coordinate plane

c.

Equation:

a blank coordinate plane

d.

Equation:

a blank coordinate plane

e.

Equation:

a blank coordinate plane

f.

Equation:

a blank coordinate plane

Go

Find the greatest common factor (GCF) for the given values.

12.

and

13.

and

14.

and

15.

and

16.

, , and

17.

and

18.

, , and

19.

, , and

20.

and