April, 28 Aim:Review test preparation with answer key
Test On Monday
Topics to be included weighted in order of significance:
Rational and irrational numbers (approx.25%)
Simplifying, multiplying, dividing, adding and subtracting radicals approx. 50%)
Operations with polynomials (adding, subtracting, multiplying and dividing) approximately 10%Factoring (approximately 10%)
Core algebra: operations with variables and exponents (approximately 5%)
Test Prep Answers:
1) 4; 2) 3; 3) 4; 4) 2; 5) 2; 6) 1; 7) 1; 8) 3; 9) 4;) 10) 3; 11) (a+2)/a-2);
12) 4; 13) 1; 14) 1; 15) 1; 16) 4; 17) 1; 18) 3; 19) 1; 20) 4; 21) 2; 22) 3; 23) 5
I strongly suggest that you review and study your since the midterm, the midterm test, and the test preparation sheet.
If any questions on the test prep sheet, send them by way of a posting to this post.
posted by Mr.Napoli @ 1:15 PM
1 Comments:
algebraic expression:
Definition: a mathematical phrase which can contain numbers, operators (add, subtract, multiply, divide), and at least one variable (like x, y) to represent operations
Example: An example of an algebraic expression is x + 5 4n ÷ 6.
Algebraic Inequalities-An algebraic inequality is the inequality of two algebraic expressions
Example-x + 5 > 9
algebraically
relating to, or designating algebra.
Designating an expression, equation, or function in which only numbers, letters, and arithmetic operations are contained or used.
Indicating or restricted to a finite number of operations involving algebra.
arithmetically
Of or relating to arithmetic.
Changing according to an arithmetic progression
ex, 1/3, 18* 2 =36, 5+97=100, 169 + 56, 27/3
binomial
Consisting of or relating to two names or terms.
ex. 2k+7k
combine like terms
addind two terms that are the same
ex.2k+7k=9k
degree of a polynomial: The degree of a term of a polynomial in one variable is the exponent on the variable in that term; the degree of a polynomial is the highest such degree. For example, in 2x3 + 4x2 + x + 7, the term of highest degree is 2x3; this term, and therefore the entire polynomial, are said to have degree 3.
Domain: In mathematics, the domain of a function is the set of all input values to the function.
factor: a multiplicative factor is a coefficient; compare multiplication factor; a number that is a divisor of another number; thus, factorization is to express a number as the product of two numbers.
graphically
Of, relating to, or represented by or as if by a graph.
integer coefficients: In mathematics, a coefficient is a constant multiplicative factor of a certain object. The object can be such things as a variable, a vector, a function etc. For example, the coefficient of 9x2 is 9. In some cases, the objects and the coefficients are indexed in the same way, leading to expressions
line: A line, or straight line, can be described as an (infinitely) thin, (infinitely) long, perfectly straight curve (the term curve in mathematics includes "straight curves"). In Euclidean geometry, exactly one line can be found that passes through any two points. The line provides the shortest connection between the points.
linear relationship: In mathematics and linear algebra, a system of linear equations is a set of linear equations such as:
3x1 + 2x2 − x3 = 1
2x1 − 2x2 + 4x3 = −2
−x1 + ½x2 − x3 = 0.
monomial: In mathematics, a monomial is a particular kind of polynomial, having just one term. Given a natural number n and a variable x, the power function defined by the rule f(x)=xn is therefore a monomial. Given several unknown variables (say, x, y, z) and corresponding natural number exponents (say, a, b, c), the product of the resulting univariate monomials is also a monomial (e.g., the function determined by the rule f(x)=xaybzc).
nonlinear relationship: In mathematics, nonlinear systems represent systems whose behavior is not expressible as a sum of the behaviors of its descriptors. In particular, the behavior of nonlinear systems is not subject to the principle of superposition, as linear systems are. Crudely, a nonlinear system is one whose behavior is not simply the sum of its parts.
ordered pair: An ordered pair is a collection of two objects such that one can be distinguished as the first element and the other as the second element. An ordered pair with first element a and second element b is usually written as (a, b).
polynomial: In mathematics, a polynomial is an expression in which constants and variables are combined using only addition, subtraction, and multiplication
quadratic equation: In mathematics, a quadratic equation is a polynomial equation of the second degree.
quadratics: A quadratic function, in mathematics, is a polynomial function of the form , where is nonzero. It takes its name from the Latin quadratus for square, because quadratic functions arise in the calculation of areas of squares. In the case where the domain and codomain are (all real numbers), the graph of such a function is a parabola.
Range: In mathematics, the range of a function is the set of all "output" values produced by that function
Relation: In mathematics, a relation is a generalization of arithmetic relations, such as "=" and "<", which occur in statements, such as "5 < 6" or "2 + 2 = 4". See relation (mathematics), binary relation (of set theory and logic) and relational algebra.
simplify expressions: An expression combines numbers, operators, grouping symbols (such as brackets and parentheses) and/or free variables and bound variables: bound variables are assigned values within the expression (they are for internal use), free variables can take on values from outside the expression.
trinomial: In elementary algebra, a trinomial is a polynomial consisting of three terms; in other words, a trinomial is the sum of three monomials.
ex 9+p+9k
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