The "Rational" Road
The X-Factor
Geometry & Measurement
Systems & Logic
Miscellaneous
100

Add:

(4x3 + 2x2 +5) + (x3 - 4x2 + 1)

What is 5x3 - 2x2 + 6

100

Hannah spied 240 toys in a store. If this was 60 percent more than what Grace spied, this is the total number of toys Grace saw.

What is 150?

100

What is the formula for area of a circle?

A = πr2

100

Use elimination to solve this system for x and y:

x + y = 1
x - y = -3

What are x=-1 and y=2?

100

This property of multiplication states that the order in which two numbers are multiplied does not affect the product.

What is the Commutative Property?

200

Simplify this expression:

(4x2 + 4x)/4x

What is x + 1?

200

Factor the greatest common factor (GCF) out of this expression: 6a3b4z - 12a2z2b+ 3b3a2z- 3abz.

What is 3abz(2a2b3 - 4ab2z + ab2z - 1)?

200

Given the line segment AC:
.______.______.
A.        B.          C.

Where AC = 20, AB = x + 5, and BC = 2x - 3, this is the value of x.

What is 6?

200

Use substitution to solve this system of equations for NN and NQ:

NN + NQ = 20
3NN - 2NQ = 15

What are NN = 11 and NQ = 9?

200

4 1/3 of what number is 21?

What is 63/13 or 4 11/13?

300

Solve this rational equation for x by finding a common denominator to clear the fractions:
(3+x)/3 - x/4 = 2.

What is 12?

300

In a study of an experimental drug, side effects were experienced by 38% of participants. If 1,520 people had side effects, this is the total number of people who took the drug.

What is 4,000?

300

In the surface area formula SA = 2A + Ph for a cylinder, the letter P represents this specific measurement of the circular base.

What is the Circumfrence?

300

A piggy bank contains 157 nickels and pennies totaling $4.05. This is the correct system of equations used to find the number of nickels (N) and pennies (P).

What is N + P = 157 and 5N + 1P = 405?

300

Rise/run, or the steepness of a line

What is Slope?

400

Simplify this expression by finding a common denominator: 1/xy +a/xy+b/x2y - 3/x2y2.

What is (xy + ax + by - 3)/x2y2​​​​
400

This is the fully factored product of the trinomial:
x3 + 11x2 + 30x

What is x(x + 5)(x + 6)?

400

A pyramid has a square base with sides measuring 8 feet and a vertical height of 9 feet. Find the Volume of this pyramid.

What is 192 ft3?

400

Gordon rode his motorcycle to school at 20 mph and jogged back at 5 mph. If the round trip took 5 hours, this is the total distance to the school.

What is 20 miles?

400

Another name for opposite of a number.

What is Additive Inverse?

500

Divide the polynomial (x3 - 2) by the binomial (x + 3) to find the quotient and the remainder.

What is x2 - 3x + 9 with a remainder of -29?

500

Solve for x: 20x = x3 + x2.

What are x = 0, -5, & 4?

500

A right circular cone has a base radius of 6 cm and a height of 8 cm. Find its Volume in terms of π (pi).

What is 96π cm3?

500

At 8 a.m. Iris headed south at 30 mph. At 10 a.m. Bob followed from the same place. If Bob was 40 miles ahead by 2 p.m., this was his average speed.

What is 55 mph?

500

Simplify: [-6+(-3)(-2)]/[-6+8+(-2)]

What is Undefined? (0/0)