TX PACT 700 Essential Academic Skills Math fully solved 2023/2024

TX PACT 700 Essential Academic Skills MathReal Numbers - correct answer Numbers that have a specific value. Can be rational or irrational. Includes interger, whole, and natural numbers. Rational Numbers - correct answer Any number that can be expressed as a fraction or decimal form and be graphed on a number line Mixed numbers - correct answer a number that is made up of a whole number and a fraction Decimals - correct answer a number that uses place value and decimal points to show values less than one, such as tenths, hundreths, etc. Natural Numbers - correct answer real numbers that can be pointed to in nature, such as one tree, two people, three dogs. start at 1. Whole numbers - correct answer set of natural numbers, and zero. integers - correct answer positive and negative counting numbers irrational numbers - correct answer Numbers that cannot be expressed as a ratio of two integers. Their decimal expansions are nonending and nonrepeating. they must be approximated in order to be placed on a number line algorithm - correct answer a specific set of steps that allows the user to reach the correct answer every time rectangular arrays - correct answer uses circles, squares, or objects to show an end product of two factors. they are arranged into equal columns and rows. first factor is number of rows and second is number of columns equal groups - correct answer great visual strategy. students use the first factor to create groups and the second to draw dots in each group. total number of dots is the product PEMDAS - correct answer Parentheses, Exponents, Multiplication, Division, Addition, Subtraction inverse operations - correct answer operations that undo one another additions inverse is - correct answer subtraction multiplication inverse is - correct answer division equivalence of expressions - correct answer equivalence can be used to simplify expressions, often when solving for x when adding like terms with an exponet - correct answer the exponent itself stays the same 6x^2 + 6x^2 = 12x^2 parentheses - correct answer used to group part of an expression together, and indicate that an operation should be applied to the entire expression inside. what if there isnt a coefficient in front of parentheses? - correct answer apply the sign to the equation assuming the value is 1 general steps to solving for x in a linear equation - correct answer 1. simplify each side following PEMDAS 2. isolate x using inverse operations 3. check using substitution