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Intro Algebra Ch1
pre-algebra vocabulary
| Question | Answer |
|---|---|
| The quotient of two integers | fraction |
| The distance between a number and 0 on a number line | absolute value |
| The symbol > means | greater than |
| The symbol < means | less than |
| The top number of a fraction | numerator |
| The bottom number of a fraction | denominator |
| A fraction is in lowest terms when | the numerator and denominator have no factors in common other than 1. |
| To add fractions with the same denominator, | add the numerators and place the sum over the common denominator |
| To divide fractions, | multiply the first fraction by the reciprocal of the second fraction. |
| Fractions that represent the same quantity are called | equivalent fractions |
| The expression a^n is called | an exponential expression. |
| In the expression a^n, the 'a' is called | the base. |
| In the expression a^n, the 'n' is called | the exponent. |
| The first step in the order of operations is: | If grouping symbols are present, simplify expressions within those first, starting with the innermost set. |
| The second step in the order of operations is: | Simplify exponential expressions. |
| The third step in the order of operations is: | Multiply or divide in order from left to right. |
| The last step in the order of operations is: | Add or subtract in order from left to right. |
| A symbol used to represent a number is called | a variable. |
| A collection of numbers,variables, operation symbols, and grouping symbols is | an algebraic expression. |
| To evaluate an algebraic expression containing a variable, | substitute a given number for the variable and symplify. |
| A mathematical statement that two expressions are equal is called | an equation. |
| A solution of an equation is | a value for a variable that makes the equation a true statement. |
| Two numbers that are the same distance from 0 on the number line but lie on opposite sides of 0 are called | opposites, or additive inverses. |
| This is an example of which property: a + b = b + a | commutative property of addition |
| This is an example of which property:(a + b)+ c = a +(b + c) | associative property |
| This is an example of which property:a( b + c ) = ab + ac | distributive |
| This is an example of which property:a + 0 = a | Identity property of addition. |
| Two numbers whose product is 1 are called | reciprocals, or multiplicative inverses. |
| What is the reciprocal of 2/3?` | 3/2 |
| In the expression 4x, the 4 is called | the coefficient. |
| This is an example of which property:a * 1 = a | Identity property of multiplication. |
| The set {1,2,3,4,...} | Natural numbers |
| The set {0,1,2,3,...} | Whole numbers |
| The set {...-3, -2, -1,0,1,2,3...} | Integers |
| A number or the product of a number and variables raised to powers is | a term. |
| The numerical factor of a term is | the coefficient. |
| Terms with exactly the same variables raised to exactly the same powers are called | like terms. |
| Terms that are not like terms are called | unlike terms. |