Number Names
This number is neither positive nor negative.
0
The inequality that should be placed between the two numbers: -3.4216 -3.4210
<
This single algebraic property combines the operations of addition and multiplication.
The distributive property
The difference between a mathematical expression and a mathematical equation.
An equation has an equals sign, an expression does not.
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%
This set of numbers is made up of rational numbers and irrational numbers.
Real Numbers
8(-3) - 4(-5)
- 4
The algebraic property used in the equation
(2 + 3) + 4 = (3 + 2) + 4
Commutative property of addition
The difference of 8 and twice a number is 11.
8 - 2x = 11
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%
Another name for the reciprocal of a number.
Multiplicative inverse
If x = - 2 and y = - 3, find x2 - y2
- 5
Use algebraic properties to simplify completely
3(4x + 5) - 2(6)
12x + 3
The product of a number and seven is equal to the quotient of a number and 2.
7x = x/2
If the odds of winning a game are 7:12, find the probability of losing the next game.
5/19
This set of numbers is made up of all rational numbers with a denominator of 1.
Integers
[2-3(5+1)+10] / (6-9)
2
Use distribution in reverse to factor the following expression:
6x - 9y + 3
3(2x - 3y + 1)
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
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
Multiplicative inverse
(4 - 9) / [8 - (- 2)(- 4)]
No Solution
You can not divide by 0
Prove that subtraction is not commutative.
3 - 2 does not equal 2 - 3
So a - b does not equal b - a
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
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%