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Algebra 1 Mdtrm Voc.
Ch.1 - 6 Vocabulary
| Question | Answer |
|---|---|
| A collection of numbers, operation signs, and inclusion symbols that stands for a number. Ex: (3+2) x 7 | Expression |
| Means to find the number for which the expression stands. | Evaluate |
| A letter that represents a number. Ex: 3 + x, x is the ? | Variable |
| Numbers that are multiplied together. Ex: 3 x 2, 3 and 2 are ? | Factors |
| In the expression x to the y, x is called the ? | Base |
| In the expression x to the y, y is called the ?. | Exponent |
| Numbers that are separated by addition and subtraction signs. Ex: 5x + 8, 5x and 8 are the ? | Terms |
| In the expression x to the y, x to the y is called a ? | Power |
| This process is used universally so that we all get the same answer to multi-step problems | Order of Operations |
| A sentence (such as x + 7 = 9) which says that one expression (x + 7) is equal to another expression (9). | Equation |
| A number that may be substituted for a variable that makes the sentence true. | Solution |
| Numbers that are opposites with a sum of 0. Ex: -5 + 5 = 0. | Additive Inverses |
| The distance of a number from the origin (0) on a number line. | Absolute Value |
| The set of numbers { … -3, -2, -1, 0, 1, 2, 3, ….} Whole numbers and their opposites. | Integers |
| All numbers on the number line: positive, negative, and zero. They include fractions, decimals, etc., and fill the entire number line, leaving no gaps. | Real Numbers |
| Adding the opposite. Ex: x – y = x + (-y) | Definition of Subtraction |
| A nonzero number that is multiplied by its reciprocal = ONE Ex: 2/3*3/2 = 1 | Multiplicative Inverses |
| Multiplying by the reciprocal | Definition of Division |
| A fact that is true concerning a mathematical system system. | Property |
| A property that forms the basis of a mathematical system. It is assumed to be true without proof. | Axiom |
| x(y + z) = xy + xz | Distributive Property |
| Ex: 8x x 7x + 4 (the 8x and 7x are?) | Like Terms |
| A number multiplied by the variable in a term. Ex: 7x, 7 is ? | Numerical Coefficient |
| x+y = y+x | Commutative Axiom Of Addition |
| (x + y) + z = x + (y + z) | Associative Axiom of Addition |
| Zero added to any number gives that number. Ex: x + 0 = x | Additive Identity Axiom |
| One times any number gives that number. Ex: z * 1 = z | Multiplicative identity |
| Any number x has an opposite, -x. Ex: x + (-x) = 0. | Additive inverses |
| Any number x (except for 0) has a reciprocal, 1/x for which x times 1/x = 1. | Multiplicative inverses |
| -1 times a number equals the opposite of that number. Ex: -1 times x = -x | Multiplication property of -1 |
| 0 times a number equals 0. Ex: 0*x = 0 | Multiplication property of 0 |
| If the first number equals a second number, and the second number equals a third number, then the first number equals the third number. Ex: If x = y and y = z, then x = z | Transitive axiom |
| Two members of an equation can be reversed without affecting their equality. Ex: If 5x = y, then y = 5x | Symmetric axiom |
| A number equals itself. Ex: x = x | Reflexive axiom |
| If x = y, then x + z = y + z. | Addition property of equality |
| If x = y, then xz = yz | Multiplication property of equality |
| An equation that is true for some value(s) of the variable and not true for other values of the variable. | Conditional equation |
| An equation that is true for all values of the variable. | Identity |
| An expression that has no operations other than addition, subtraction, and multiplication by or of the variable(s). | Polynomial |
| A polynomial with one term.Ex. 7x | Monomial |
| A polynomial with two terms.Ex 7x + 5y | Binomial |
| A polynomial with three terms.Ex. 4a+4b+6c | Trinomial |
| A first degree polynomial.Ex. 4x | Linear |
| A second degree polynomial. | Quadratic |
| A third degree polynomial. | Cubic |
| The exponent of the highest power of that variable. | Degree |
| (x + 6) (x – 6) | Conjugate Binomials |
| When factored, the result is conjugate binomials | Difference of two squares |
| An expression that has a root (square root, cube root, etc.)Ex. 25 squared | Radical |
| A number that can be written as a ratio of two integers or in a/b form. Ex: 12/4, 3, 4, square root of 9. | Rational number |
| A real number that cannot be written as a ratio of two integers. Ex: square root of 8, square root of 10, pi, | Irrational number |
| A given set of given numbers is said to be this under an operation if there is just one answer and the answer is in the given set whenever the operation is performed with the numbers in that set. | Closure |
| A rectangular array of numbers. | Matrix |
| Two matrices of the same order that can be added or subtracted. | Conformable |
| Two matrices of different orders that cannot be added or subtracted. | Not conformable |
| The size of a matrix. | Order |
| If the matrix only has 1 column it is? | Column matrix |
| If the matrix only has 1 row it is? | Row matrix |
| A matrix that has the same number of rows and columns. | Square matrix |
| The numbers in a matrix are. | Entries or Components |
| If all the entries of a matrix are zero it is? | Zero matrix |
| Two matrices are said to be ______ if they have the same order if the corresponding entries are equal. | Equal |
| The diplomatic relations matrix that we discussed in class was called a _________. | Communication matrix |
| If two matrices have the same order you can add them and this is called? | Sum of the Matrices |
| If two matrices have the same order you can subtract them and this is called? | Difference of Matrices |
| The operation of multiplying each entry of a matrix by a number outside of the matrix is called? | Scalar Multiplication |
Created by:
ahastings
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