Quarterly Review Topics

Polynomial Arithmetic

100

(4x² + 3x - 5) + (-4x + 6)

4x² - 1x + 1 

200

(3x² + 4x - 8) - (-2x² + 4x + 2)

5x² - 10

300

What is the product of (2x + 7) and (x - 3)

2x² + x - 21

400

When 3x² - 8x is subtracted from 2x² + 3x, the difference is

-x² + 11x

500

5x + 4x²(2x + 7) - 6x² - 9x

8x³ + 22x² - 4x

Exponent Rules

100

What is 3x⁰ equal to?

3

200

The product of 4x²y and 2xy³ is

8x³y⁴

300

The expression (6x³y⁶)² is equivalent to

36x⁶y¹²

400

The expression 4x²y³ / 2xy⁴ is

2x/y

500

   27k⁵m⁸

------------

(4k³)(9m²)

 3k²m⁶

---------

     4

Complex Numbers

100

What is i⁵⁵ equal to?

-i

200

In simplest form, √-300 is equivalent to

10i√3

300

What is the value of (5i³)³

125i

400

The expression x(3i²)³ + 2xi¹² is equivalent to

-25x

500

The expression 6-(3x - 2i)² is equivalent to

-9x² + 12xi + 10

Factoring/Solving

100

Factor 3x³ + 27x²

3x²(x + 9)

200

If the factors of a quadratic were (x - 4) and (x + 7), what are the roots?

x = 4, x = -7  OR  {4, 7}

300

Solve n² + 3n - 48 = 6

{-9, 6}  OR   n=6, n=-9

400

Factored completely, the expression 2x² + 10x - 12 is equivalent to

2(x + 6)(x - 1)

500

Factored completely, the expression 3x² - 3x - 18 is equivalent to

3(x - 3)(x + 2)

Fractional Exponents

100

What is x^3/4 equivalent to?

⁴√x³

200

4x^1/2 is equivalent to

4√x

300

 x^1/5

^--------

 x^1/2

    1

--------

¹⁰√x³

400

9^3/2 · 27^1/2 

3^9/2

500

⁴√81x²y⁵ is equivalent to 

3x^1/2y^5/4