Integers/Fractions
Radicals
Polynomials
Solving Equations
Slope
Exponents
Explain things
100
-12-(4+3)
-19
100
What is the index of the following radical:
sqrtx
2
100
What is the degree of the following polynomial
3x^2y^5+4x^3y^4z
8
100
5x=2
0.4
or
2/5
100
What does a negative slope mean?
As x is increasing, y is decreasing.
The two variables are inversely proportional (as one goes up, the other goes down).
100
Simplify, leave in exponential form
(3^4)^2
3^8
100
What is the difference between a coefficient and a constant?
A coefficient is connected to a variable, a constant is a number on its own.
For example, in the polynomial
x^3+2x^2-3x+4
The coefficients are: 1, 2, and -3
The constant is 4
200
-48/4*2
-24
200
List the first 10 perfect squares.
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
200
Simplify
(x^2-x)+(8x-2x^2)
-3x^2+7x
200
4x+10=2
x=-2
200
Determine the equation of the line.
y=-3x+2
200
Simplify
7a^5*4a^2
28a^7
200
Are the following equal? Why or why not?
-x^2 and (-x)^2
No.
(-x)^2 = (-x)(-x) = x^2
Since a negative times a negative is a positive, the result will be positive.
On the other hand,
-x^2=(-1)(x^2)
300
5 1/3-2 5/6
2 1/2
300
Convert the following to simplest mixed radical form:
sqrt(80)
4sqrt5
300
Simplify
(18c^4-36c^3+12c^2)/(6c^2)
3c^2-6c+2
300
3(x-5)=-(3-x)
x=6
300
Calculate the slope between (-5, 10) and (15, 6)
-2/5
300
Simplify:
-x^7 divide (-x)^3
-x^4
300
What is the difference between discrete and continuous data?
Discrete data involves countable, distinct values. For example, number of people, or clothing sizes.
Continuous data involves measurable values that fit in a range, with no gaps in between. For example, height, temperature, times.
400
Which number systems does the number -2 belong to?
NOT Natural Number
NOT Whole Number
YES Integers
YES Rational Number
YES Real Number
400
Convert the following to entire radical form:
3sqrt5
sqrt45
400
Simplify:
(2x+3)(2x-2)
4x^2+2x-6
400
(x+9)/3=8
x=15
400
For the equation
2x+y-3=0
Determine the slope.
-2
400
Simplify
(a^5b^5c^5)/(-a^2b^3c^4
-a^3b^2c
400
Why is the product of two negative numbers positive?
Two negatives make a positive in multiplication because the second negative sign essentially "reverses" the direction or action of the first negative, bringing the result back to the positive side on the number line.
500
((3+5)^2-2(8+7))/sqrt4
17
500
Convert the following to mixed radical form
sqrt(3^2*2^5)
48sqrt2
500
Factor:
x^2-6x+8
(x-4)(x-2)
500
(2a+3)/4=(a+7)/3
19/2
500
For the equation
y=9x-4
Determine the x and y intercepts.
X-intercept:
4/9
Y-intercept:
-4
500
Determine x:
(-5)^x=-125
x = 3
500
What is
0^0
Cannot be determined.