Real Numbers, Equations, Inequalities
This property of real numbers states that a+b = b+a and that a*b = b*a.
What is the commutative property (of addition and/or multiplication)?
If f(x) = 3x - 2, this is f(5).
What is 13?
This is the equation of a line in slope intercept form passing through the points (2, 3) and (5, 12).
What is y = 3x - 3?
This is the vocabulary word for a system of linear equations that has no solution and graphs as two parallel lines.
What is inconsistent?
These are the names of Mr. Lester's cats
What are Kenai, Luna, and Mabel?
A set has this property under an operation if performing this operation on any two elements of that set gives another element of the same set. (E.g. Natural numbers and addition)
What is the closure property?
What is when x = 3?
This is point-slope form, an equation for a line with a slope of m passing through a point (x1, y1).
What is y - y1 = m(x - x1)?
This is the solution the system of equations below:
2x + 4y = 10
-3x + 13y = -34
What is x = 7, y = -1? Or (7, -1)?
If f(x) = 4x - 13, what is f-1(7)?
What is 5? [Because f(5) = 7].
Solve the following equation. 3(x-2) + x(5-3) = 3x - 17
What is x = -11/2 or -5.5?
Draw a graph of a function that is increasing, then decreasing, then constant, then decreasing, then increasing again.
What is [answers will vary - Mr. Lester will judge]?
This the location of the vertex of the graph of the function g(x) = 3|x - 4| + 2.
What is the point (4,2)?
Give an example of a 2x2 matrix for which it is impossible to find an inverse matrix.
What is [any matrix with a determinant of 0]?
Suppose a line has the equation y = 2x + 7. Give a possible equation for a perpendicular line.
What is y = -1/2x + anything?
Solve the following linear inequality. Write the solution in interval notation.
14 < 2x+4 < 22
What is (5,9)?
Give a) the test I would use to determine if a graph represents a function.
and b) the test I would use to determine if a function has an inverse function.
What is a) the vertical line test and b) the horizontal line test?
Take f(x) = 4x - 11. Give the zero of this function and the left end behavior of this function.
What is 11/4, and approaching negative infinity?
This is what I need to check to see if I can multiply two matrices or not.
What is that, writing down the dimensions, the middle numbers have to match?
Solve the system of equations with 3 variables.
x + y + z = 11
x - y = -2
z + 3x = 12
What is x = 3, y = 5, z = 3?
This is a compound inequality such that the solution is (-infinity, 4) U (7, infinity).
What is [answer may very - Mr. Lester will judge]?
Give, word for word, (or close enough as determined by Mr. Lester) Mr. Lester's definition of a functional relationship between independent variable x and dependent variable y.
What is, "a function is a relationship between x and y values such that each x-value is associated with exactly one y-value!"
Solve the absolute value equation 3|x+6|-2 = 10.
What is x = -2 and x = -10?
Multiply (3 + 2i)(7-i) and simplify completely, writing the final answer in correct form.
What is 23 + 11i?
Factor the quadratic 4x2 - 10x.
What is 2x(2x-5)?