Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Algebra 1 Key Vocabulary Words Chapter 3 Section 3.1: inverse operations equivalent equations reciprocal solution Section 3.2: like terms (see Ch 2.5) input (see Ch 1.6) output (see Ch 1.6) solution of an equation (see Ch 1.4) Section 3.3: distributive property (see Ch 2.5) Section 3.4: identity Section 3.5: ratio proportion simplest form Section 3.6: cross product scale drawing Section 3.7: percent Permission for Use Granted by Dr. Kate Kinsella 10/08 Word Inverse Operations 3.1 Meaning DEF: Two operations that undo each other. Examples Subtraction is the inverse operation of Addition. Oral Practice To solve the equation, x – 5 = 10, we use the inverse operation of addition. To solve the equation, x + 7 = 9, To solve the equation, 2x + 5 = 12, we we use inverse operation of use the inverse operations of __________ and _________. addition. Writing Practice: Addition and subtraction are inverse operations. ____________ and ____________ are also inverse operations. Equivalent Equations 3.1 DEF: Equations that have the same solution(s) If you perform inverse operations on both sides of the equation, you produce equivalent equations. 2x + 3 = 7 is equivalent to 2x = 4 To produce an equivalent equation to x + 5 = 12, we will subtract 5 from both sides of the equation. To produce an equivalent equation to 3x = 15, we will ________ both sides of the equation by ____. Writing Practice: To produce an equivalent equation to 2x + 6 = 8, we will ________ both sides of the equation by ___. Permission for Use Granted by Dr. Kate Kinsella 10/08 Word Reciprocal 3.1 Meaning DEF: Two non zero numbers whose product is 1 Examples Oral Practice The reciprocal of 5_ is . because, 5 ∙15=1 because . Writing Practice: _____ and ______ are reciprocals, because The reciprocal of _____ is ______, because Identity 3.4 DEF: An equation that is true for all values of the variable. . . The equation 2x – 6 = 2(x – 3) is an identity because, 2x – 6 = 2x – 6 is true for all values of x. The equation 3x + 7 + 2x = 5x + 7 is an identity because, 5x + 7 = 5x + 7 is true for all values of x. The solution of 5x + 7 = 5x + 7 is all real numbers because it is an identity. Writing Practice: The equation ___________________ is an identity because, __________________is true for all values of x. The solution of __________________is all real numbers because it is an identity. Permission for Use Granted by Dr. Kate Kinsella 10/08 Word Ratio 3.5 Meaning DEF: The relation between two quantities expressed as a quotient of numbers. Examples Oral Practice There are 5 boys for every 4 girls in PE. The ratio of Amy has 3 red marbles and 5 green marbles. The ratio of Writing Practice: There are _________ for every _________. The ratio of _____ = ______ or __:__ or ___ to ___. Proportion 3.5 DEF: An equation that states that two ratios are equal. In symbols, The equation proportion because The equation is a . because is a proportion . Writing Practice: The equation ____= ___ because _____ = _______. Permission for Use Granted by Dr. Kate Kinsella 10/08 Word Cross Product 3.6 Meaning DEF: The product of the numerator of one ratio and the denominator of the other ratio. In symbols, if . Examples The cross product in the proportion . Oral Practice The cross product in the proportion is 3(x) = 2(x + 3). Writing Practice: The cross product in the proportion _____=_____ is ______ = _______. Scale Drawing 3.6 DEF: A two-dimensional drawing of an object in which the dimensions of the drawing is in proportion to the dimensions of the object. A school map is a scale drawing of the school. The floor plan is a scale drawing of the interior of the house. Writing Practice: The floor plan is a scale drawing of the interior of the house. The ________ is a scale drawing of the ________________ . Permission for Use Granted by Dr. Kate Kinsella 10/08 Word Percent 3.7 Meaning DEF: A fraction whose denominator is 100. In symbols, Examples Oral Practice 5 is 25% of 20 can be written as . Writing Practice: ____ is ____% of ____ can be written as ____ = ______( 22 22 is 25% of 88 can be written as . ). DEF: Writing Practice: Permission for Use Granted by Dr. Kate Kinsella 10/08