Algebra I 2nd Semester Mid-Term Review

Chapter 6

100

(x³)(x⁴)

x⁷

200

Graph: y=2^x

See Graph

300

Is this sequence a geometry or arithmetic?

1, 75, 149, 223, 297, ...

Arithmetic

400

State the Transformation from y=2^x:

y=2^x+1

Up 1

500

State the transformation from y=3^x:

y=3^x-2

Right 2

Chapter 6

100

3x²+2x-4x²+5x-7

-x²+7x-7

200

Is the sequence Geometric or Arithmetic?

30, 6, 1.2, 0.24, 0.048,....

Geometric

300

Graph:

y=-2^x

see graph

400

Find the 12th term of the sequence:

2, 6, 18, 54, 162,...

354,294

500

State the transformation from y=4^x:

y=4^x+3+4

Left 3

Up 4

Chapter 7

100

State the Degree:

4x⁵+2x³-5²+7x-21

5

200

simplify:

-2x(3x²+2x-1)

-6x³-4x²+2x

300

Factor:

15x²+18

3(5x²+6)

400

Factor:

x²-5x+6

(x-3)(x-2)

500

Factor:

x²+14x+49

(x+7)²

Chapter 7

100

Rewrite in standard form and state the degree:

3⁴+2⁵-6x+7x⁶-2

7x⁶+2x⁵+3x⁴-6x-2

Degree: 6

200

FOIL:

(x+2)(x-3)

x²-x-6

300

What is the GCF:

15x³+27x²-18x

3x

400

Factor:

x²+11x-12

(x+12)(x-1)

500

Factor:

x²-25

(x+5)(x-5)

Vocabulary

100

GCF

Greatest Common Factor

200

Degree of a polynomial

Highest exponent

300

Standard Form

decreasing exponents:

x³+x²+x+1

400

Perfect square

Example:

x²+10x+25

(x+5)²

500

Difference of squares 

Example:

x²-49

(x+7)(x-7)