Polynomials
Quadratics
Factoring
Rationals
Potpourri
100

(4x3 + 6x2 – 6) – (3x3 – 2x2 + 7x + 3) 

What is x3 + 8x2 – 7x – 9 ?

100

Find two square roots of 0.64.

What is + 0.8 or –0.8?

100

Solve. 

x2 + 10x = –21

What is x = –7 or –3?

100

Simplify.

6x4 / 18x2

What is x2 / 3 ?

100

Simplify

(4x / 7) – (3x / 14)

What is 5x / 14 ?

200

Simplify

(3x – 7)(5x + 2)

What is 15x2 – 29x – 14?

200

Find two square roots of 121/196.

What is + 11/14 or –11/14?

200

Solve

2x2 – 7x – 9 = 0

What is x = 4.5 or –1 ?

200

Simplify.

(x2 – 5x) / (5x – 25)

What is x / 5 ?

200

In the function y = 0.5x, this change (increase or decrease) happens to the range (or output) as the domain increases.

What is decreases?

If x=2, y =0.25. 

If x=3, y = .125

300

Simplify

(5x + 2)(5x –2)

What is 25x2 – 4 ?

300

2x2 + 8 = 4

What is no solution?

300

Solve. 

x2 + 25 = 0

What is no real solution?

300

Simplify. 

(x2 – 9) / (x3 – 3x2)

What is (x + 3) / x2 ?

300

(x5 / x–2 )–3

What is 1 / x21 ?

400

Factor

9x2 + 24x + 16

What is (3x + 4)?

400

Solve using the quadratic formula. 

x2 – 15x – 54 = 0

What is x = –3 or 18?

400

Solve using a method of your choice.

4x2 – 4x = 15

What is x = 2.5 or –1.5 ? 

400

Simplify. 

(8x2 / 3) / (20x / 9)

What is 6x / 5 ?

400

(4x2 – 5x)(2y + 6y2)

What is 8x2y + 24x2y2 –10xy – 30y2x ?

500

Factor

x2 – 3x – 40

What is (x + 5)(x – 8)?

500

Solve using the quadratic formula. 

4x2 – 3x + 6 = 0

What is no real solutions?

500

Solve using a method of your choice.

4x2 = x + 3

What is x = 1 or –0.75?

500
Simplify 

(4x3 / 10) * (25/16x2)

What is 5x/8 ?

500

The graph y = –5x2 + 3 has these three differences from the graph y = x2

What are opening down, being more narrow, and having a vertex three units above the origin?

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