In the expression ( T x 1 = T ) T is the ___________
Variable
Give 3 examples of natural numbers
{ 1, 2, 3, 4, ..... }
State the postulate:
a + b = b + a
a x b = b x a
Commutative
The following key words are used to describe what operation?
difference, less than, minus
Subtraction
Solve the problem:
-7 - 4 = ?
-11
List the order of operations
Parentheses
Exponents
Multiplication/Division from left to right
Addition/Subtraction from left to right
PEMDAS
Is 5/9 a terminating or a non terminating decimal?
Terminating
a x 1 = a is the ________ postulate
Identity
Give two key words to explain multiplication in a word problem
product, multiplied by, times, twice, doubled, tripled
Solve for c:
7c - 3 = 25
c = 4
Evaluate this expression:
xy + 2x = ?
x=4 y=5
(4)(5) + (2)(4) = 28
Integers are a subset of which two other categories?
Rational Numbers
Real Numbers
Name 4 of the 6 postulates
Closure
Commutative
Associative
Identity
Inverse
Distributive
Write the equation:
Six more than twice the number of seats
2x + 6
Solve
- (x + 2) + 3x + 2
2x
Evaluate:
9x + 2y2 - z
x= 3
y= 2
z=7
(9)(3) + (2)(22) - (7) = 28
Are whole numbers a subset of natural numbers?
No
Name the postulate illustrated by the following statement:
(14 x 12)15 = 14(12 x 15)
Associative property for multiplication
Write an equation for the following expression:
The sum of 2/3 times the number of votes, v, and 1
2/3v + 1
Of the three angles of a triangle, the degree measure of the second is one-half the first and the degree of the third is 15 more than the first. Find the measure of each angle of the triangle.
66 degrees, 33 degrees, 81 degrees
Evaluate:
3x2y - yz
x=6
y=9
z=4/5
(3)(62)(9) - (9)(4/5) = 964.8
List all 6 sets of numbers
Natural Numbers
Whole Numbers
Integers
Rational Numbers
Irrational Numbers
Real Numbers
Is there an identity element for subtraction? If so, what is it?
Yes, 0
Solve the problem:
Sam is 5 years older than Nick and Nick is 4 years older than Bobby. The sum of their ages is 46. How old is Sam?
20 years old
The sum of three consecutive even integers is -138. Find the integers
-48, -46, -44