Factoring Frenzy
Rational Ideas
Linear Lane
System Stories
Chance & Counts
100

What is the Greatest Common Monomial Factor (GCMF) of  12x3 and 18x5?

6x3

100

A rational algebraic expression is undefined when this part of the fraction is equal to zero.

The denominator

100

In the Cartesian plane, this is the name of the point 9 (0,0)  where the x-axis and y-axis intersect.

The Origin

100

The sum of two numbers is 30 and their difference is 10. What are the two numbers?

20 and 10

100

If an event is impossible to happen, what is its probability?

0 (or 0%).

200

Factor completely: x2 - 81

(x+9)(x-9)

200

Simplify the expression: 5x/10x2

1/2x

200

Calculate the slope of the line passing through points (1,2) and (3,6)

2

200

3 burgers and 1 drink cost 100 pesos. If 1 drink costs 10 pesos, how much is one burger?

30 pesos

200

According to the Fundamental Counting Principle, if you have 3 different shirts and 2 different pairs of pants, how many unique outfits can you make?

6 outfits

300

This is the factored form of the perfect square trinomial x2+10x+25

(x+5)2
300

What is the product of x/2 and 4/xin simplest form?

2/x

300

Transform the equation 2x + y = 10 into slope-intercept form (y=mx+b)

y = -2x+10

300

One number is three times another number. If their sum is 24, what is the smaller number?

6

300

What is the probability of rolling a number greater than 4 on a standard six-sided die?

1/3

400

What are the factors of the general trinomial x2-7x+12?

(x-3)(x-4)

400

Find the sum: 3/(x+1) + 2/(x+1) 

5/(x+1)
400

If a system of linear equations has parallel lines, how many solutions does it have?

No solution (Inconsistent system)

400

A farm has chickens and pigs. There are 10 heads and 30 legs in total. How many pigs are there?

5 Pigs

400

If you flip a coin three times, how many total possible outcomes are there in the sample space?

8

500

Factor the sum of two cubes: 8x3+27

(2x+3)(4x2-6x+9)
500

This is the domain of the expression (x+3)/(x-4)

All the real numbers except 4 or x != 4

500

Find the x-intercept and y-intercept of the line 3x-4y = 12

x-intercept: (4,0), y-intercept:(0,-3)

500

A rectangle’s length is 5 cm more than its width. If the perimeter is 50 cm, what is the length of the rectangle?

15 cm

500

A bag contains 2 red balls and 3 blue balls. If you pick one ball, put it back, and pick again, are these events independent or dependent?

Independent