Definitions
Define the term: Algebraic Expression
An expression which is made up of variables and constants, along with algebraic operations
(y2-y1) / (x2-x1)
Describe the strategy and process of solving an equation. 2 details I need to hear
1. Get variable by itself by 2. performing the opposite operations
Solve
x + (1/4) = (1/2) + 2x
x = -1/4
What is Mr. Barrett's favorite color?
Green
Define the term: Algebraic Equation
A statement that two expressions are equal
What is the formula known as slope-intercept form?
y=mx+b
Tell me 2 out of the 3 methods we learned on how to solve a system of equations.
Combination, Substitution, and Graphing
Solve
SQRT(2x-3) = 3
x = 6
What year was Sterling High School's inaugural school year?
1960
Define the term: Linear System
The set of two or more linear equations involving the same variables
What is the standard form of a quadratic equation?
y=ax2+bx+c
Explain the process you would use to factor a trinomial.
Bottom's up method, factors of a*c that adds to b, divide each factor by a value. Simplify, if already simplified move the bottom up infront of your variable.
Rewrite the exponential in log form
72 = 49
log7 49 = 2
Multiply the number of thumbs that everyone in the world has. What is the result?
0, because at least one person in the world doesn’t have thumbs.
Define the term: Rational Expression
A fraction whose numerator, denominator, or both are nonzero polynomials.
What is the formula used to find your perfect c value when completing the square?
c = (b/2)2
Explain the process you would use to factor a polynomial with 4 terms, the largest being of the 3rd degree
Factor by grouping. Group together the first two and last two terms, factor out the gcf from both, group the two gcfs into one binomial and bring down the remaining binomial.
Factor the trinomial
5x2 + 18x - 8
(x+4)(5x-2)
I add positive six to positive eleven and get five. How is this correct?
Referring to hours on a clock. After 12, the count resets, so 11 + 6 = 5 o’clock.
Define the term: Complex Number
The combination of a real number and imaginary number.
What is the entire quadratic formula? It is used to solve quadratic equations.
x = -b +- sqrt(b2-4ac) / 2a
Explain the process of finding the inverse of a function.
Swap your x and y variables, solve the equation for y. This results in your inverse function.
Factor completely
8x3 - 32x
8x(x+2)(x-2)
Outside of sports, what is Mr. Barrett's favorite hobby?
Cooking/snowboarding