Number Names
Arithmetic Action
Properties
Equation Creation
Probability Problems
100

This number is neither positive nor negative.

0

100

The inequality that should be placed between the two numbers:   -3.4216       -3.4210

<

100

This single algebraic property combines the operations of addition and multiplication.

The distributive property

100

The difference between a mathematical expression and a mathematical equation.

An equation has an equals sign, an expression does not.

100

The probability of tossing two heads in a row when flipping a coin.

Hint:  Start with the sample space of tossing a coin twice.

1/4 or 25%

200

This set of numbers is made up of rational numbers and irrational numbers.

Real Numbers

200

8(-3) - 4(-5)

- 4

200

The algebraic property used in the equation 

(2 + 3) + 4 = (3 + 2) + 4

Commutative property of addition

200

The difference of 8 and twice a number is 11.

8 - 2x = 11

200

In a room of 45 people, six have the first name James. If a person is selected from the room at random, this is the probability the person would not be named James.

39/45 or 86.7%

300

Another name for the reciprocal of a number.

Multiplicative inverse

300

If x = - 2 and y = - 3, find x2 - y2

- 5

300

Use algebraic properties to simplify completely

3(4x + 5) - 2(6)

12x + 3

300

The product of a number and seven is equal to the quotient of a number and 2.

7x = x/2

300

If the odds of winning a game are 7:12, find the probability of losing the next game.

5/19

400

This set of numbers is made up of all rational numbers with a denominator of 1.

Integers

400

[2-3(5+1)+10] / (6-9)

2

400

Use distribution in reverse to factor the following expression:

6x - 9y + 3

3(2x - 3y + 1)

400

A rental car costs $65 per day and $0.15 per mile driven.  This is the equation that determines the cost C of renting the car for 3 days, traveling m miles.

C = 195 + 0.15 m

400

A running back gained over 100 yards in 7 of the 16 games during the season.  These are the odds that in the next game the running back will not gain over 100 yards.

9:7

500
Another name for the reciprocal of a number.

Multiplicative inverse

500

(4 - 9) / [8 - (- 2)(- 4)]

No Solution

You can not divide by 0

500

Prove that subtraction is not commutative.

3 - 2 does not equal 2 - 3

So a - b does not equal b - a

500

A jersey is put on sale for 30% off of its original price x.  It is then discounted 20% off of the sale price.

Find an expression that represents the price of the jersey after both discounts.

0.8(0.7 x) = 0.56 x

500

The probability of tossing two heads in a row when flipping a coin.

Hint:  Start with the sample space of tossing a coin twice.

1/4 or 25%

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