number systems
What is the difference between whole number and natural numbers?
Natural number don't include 0 (1,2,3,4,...)
Whole number include 0 (0,1,2,3,4......)
Is the answer positive or negative:
-(5)2 x (-6)3
positive
Which of the following below are perfect squares?
49
7
4/9
4/15
7x7= 49
2/3 x 2/3= 4/9
Give and example of a mixed radical and a entire radical.
mixed 3√2
entire radical √18
Draw and label the four quadrants of a graph.
Quadrant II Quadrant I
Quadrant III Quadrant IV
What is a prime number?
A number that only has two factors, itself and one.
Solve
3-2 / 4-3 =
64/9
By factoring determine the square root of 225
√5x5x3x3 = 5x3
Simplify √48 using factoring
√3x16 = √3 x √16 = 4√3
Domain refers the ___________?
and
Range refers to the ____________?
Domain = x values
and
Range = y values
What are all the factors of 36?
1 x 36
2 x 18
3x 12
4 x 9
6 x 6
a1/n is the same as?
n√a
Which of the following below are perfect cubes?
8
27/64
25
8/9
2x2x2=8
3x3x3/4x4x4= 27/64
Simplify √72 by factoring.
√4x18 = √4 x √18 = 2 √18 = 2 √9x2= 2 √9 x √2 = 2x3√2 = 6√2
or
√36x2 = √36 x √2 = 6 √2
If y=2x + 1
What is y when x =-3
y= 2(-3) + 1
y= -6 +1
y= -5
What is the greatest common factor of 36,48, and 60?
12
43/2 =
8
Determine the cube root of 216 using factoring
3√216 = 3√2x2x2x3x3x3 = 2x3 = 6
What is an irrational radical?
An non-repeating non-terminating decimal value.
What is the difference between a 1-1 function, a function, and a relation?
1-1 function: for every x value there is only one y value
function: for a y value there may be multiple x values
example: (3,6) and (-3,6)
relations: for an x value there may be multiple y values
examples: (3,6) and (3, -6)
What is the lowest common multiple of 36, 48, and 60?
720 or 24x32x5
Solve 3√2∗4√2
12√178 or 12√27
Determine the cube root of 3√343 using factoring.
343= 7x49 = 7x7x7 therefore the cube root is 7
Approximate the value of 3√100
Because we know that:
√64 = 4 and √125=5
We know that approximate cube root value of √100 is between 4 and 5
Which is not a function?