Solving Equations and Inequalities
Linear Relations and Functions
Systems of Equations and Inequalities
Matrices
Polynomials
100
Expressions that contain at least one variable ex: Evaluate: x-y(x+y) if x = 8 and y = 1.5
What is algebraic expressions answer: 49.75
100
A way to determine whether a relation is a function Cannot intersect a graph in more than one point to represent a function
What is the vertical line test?
100
A ______ is 2 or more equations with the same variables. You find the ordered pair that satisfies all the equations by graphing or algebraically.
What is a system of equations?
100
The dimensions of a matrix are read m x n
What is rows by columns?
100
an expression that is a number, a variable, or the product of a number and one or more variables ex: 5b, -w, 23 not: x + 8, a^-1
What is a monomial?
200
(2 answers) the decimal form of a ______ number is either a terminating or repeating decimal the decimal form of an _______ number neither terminates nor repeats
What is a rational number? irrational?
200
A set of ordered pairs
What is a relation?
200
(2 answers) A system of equations is ___ if it has at least one solution. A (1st answer) is ____ if it has an infinite number of solutions
What is consistent? dependent?
200
You can multiply any matrix by a constant called a scalar. This operation is called _______ ______ ex: distributive property: c(A+B) = cA+cB
What is scalar multiplication?
200
for any real number 'a' and integer 'm' and 'n', a^m x a^n = a^m+n
What is product of powers?
300
The ______ ______ of a number is its distance from 0 on the number line
What is the absolute value?
300
A ____ ______ has no operations other than additions, subtraction, and multiplication of a variable by a constant. The graph is always a line
What is a linear equation?
300
(2 answers) Using this method, one equation is solved for one variable in terms of the other, then is substituted for the variable in the other equation Using this method, you eliminate one of the variables by adding or subtracting the equations. When you add 2 true equations, the result is a new equation that is also true
What is the substitution method? Elimination method?
300
Matrices can be used to perform ______ _____ are functions that map points of a preimage onto its image. If the image and preimage are congruent figures, the _____ is an isometry.
What are transformations?
300
a simpler process for dividing a polynomial by a binomial
What is Synthetic division?
400
A 'and' _____ _______ containing the word 'and' is true if and only if both inequalities are true
What are 'and' compound inequalities?
400
Ax + By=C
What is standard form?
400
The intersection of the graphs
What is the feasible region?
400
When a geometric figure is enlarged or reduced, the transformation is called a ____. In a ___, all linear measure of the image change in the same ratio
What is a dilation?
400
i
What is the imaginary unit?
500
The graph of a compound inequality containing 'or' is the ____ of the solution sets of the two inequalities A compound inequality containing the word 'or' is true if one or more of the inequalities is true.
What is the union?
500
(2 answers) y = mx+b y-y1=m(x-x1)
What is slope-intercept form? What is point-slope form?
500
1. Define the variables 2. Write a system of inequalities 3. Graph the system of inequalities 4. Find the coordinates of the vertices of the feasible region 5. Write a function to be maximized/minimized 6. Substitute the coordinates of the vertices into the function 7. Select the greatest or least result. Answer the problem
What is the Linear Programming Procedure?
500
[0 -1] [1 0] left side counterclockwise rotation
What is a 90 degree rotation?
500
Two complex numbers of the form a + bi and a - bi product is always a real number
What is complex conjugates?
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