Real Numbers
Exponents & Radicals
Algebraic Expression
Rational Expression
Equations
100
Name this property.
A + (B + C) = (A + B) + C
Associative Property
100
What do you do when dividing powers with the same base?
Subtract the exponents
100
When multiplying binomials, we use the FOIL method. What does FOIL stand for?
First, outer, inner, last
100
Simplify the expression: (x2 - 1)/(x2 + x - 2)
(x + 1)/(x + 2)
100
What is the definition of a solution, or root?
The value of the unknown that makes the equation true
200
What is the definition of an irrational number?
A number that cannot be expressed as a ratio of integers
200
The diameter of a carbon atom is 0.000000000154m. What is this number in scientific notation?
1.54 X 10-10
200
Name 3 different types of polynomials.
Monomial, binomial, trinomial
200
What is a compound fraction?
When the numerator, denominator, or both, are themselves fractional expressions
200
What is the quadratic formula?
300
What is the sum of 2/5 + 3/7?
29/35
300
Simplify the expression (2a3b2)(3ab4)3
54a6b14
300
Find the difference of the polynomials.
(x3 - 6x2 + 2x +4) - (x3 + 5x2 - 7x)
-11x2 + 9x + 4
300
If a fraction has a denominator of the form A + B√C, we can rationalize the fraction by multiplying the numerator and denominator by what?
Conjugate reciprocal
300
To make x2 + bx a perfect square, we add:
The square of half the coefficient of x
400
A = {x|x is an integer and 0<x<7}
What type of notation is this?
Set-builder notation
400
When you have a fraction raised to a negative power, how do you rewrite the expression without a negative exponent?
Invert the fraction and change the sign of the exponent
400
Factor 6x2 + 7x - 5
(3x + 5)(2x - 1)
400
We can use the special product formula to rewrite (A+B√C)(A-B√C) as:
A2 - B2C
400
What is the discriminant of the quadratic formula, and what does it tell you?
D = b2 - 4ac
It tells you the nature of the solutions of the quadratic equation. In other words, how many solutions it has.
500
Simplify 241/4 x 541/4
(Hint: the answer is an integer)
6
500
Using a special product formula, we can rewrite (A-B)3 as:
A3 - 3A2B + 3AB2 - B3
500
Simplify (x3y2)1/2(xy3)1/4
x7/4y7/4
500
A bullet is shot straight up into the air. Using the formula h = -16t2 + 800t, determine at what time(s) the bullet reaches a height of 6,400 ft.
After 10 and 40 seconds