Algebra II Units 1-3 Review

Sequences

100

Is the following sequence arithmetic or geometric?

−3, −23, −43, −63, ...

What is arithmetic.

200

What is the rate of change for the sequence below?

−30, −40, −50, −60, ...

What is -10.

300

Is the following sequence arithmetic or geometric?

−3, −15, −75, −375, ...

What is geometric.

400

What is the growth factor for the sequence below?

−3, −1, − 1/3 , -1/9 , ...

What is 1/3.

Matrices

100

What is the dimension of the matrix below?

3  6  8  9  -1

4  5  7  8  -5

1  1  3  4  -2

What is 3x5.

200

Name the identity matrix for a 4x4.

1  0  0  0

0  1  0  0

0  0  1  0

0  0  0  1

300

State the matrix equation for the following system:

x+y-z=10

4x-8y-5z=-7

-x+6y-5z=2

What is...

1  1  -1         x         10

4  -8  -5        y         -7

-1  6  -5        z          2

Exponent Properties

100

(2x⁴)(3x⁵)

6x⁹

200

(4xy³)²

16x²y⁶

300

(-6x²y³)/(24x²y⁷)

-1/(4y⁴)

400

(2x^-4y⁵)^-3

x¹²/(8y¹⁵)

Radical Expressions

100

Simplify 5√50.

What is 25√2.

200

4√3+5√12-7√27

What is -7√3.

300

(2+√5)(2-√5)

What is -1.

400

5/(3-√10)

What is -15 - 5√10.

Complex Numbers

100

What does i² equal to?

What is -1.

200

Simplify √-10

What is i√10.

300

(4+2i)(3-i)

What is 14+2i.

400

(2+3i)/5i

What is (-3+2i)/-5.