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Expressions math3/27/2023 ![]() ![]() What is \( x^2 3 2x^2 - 4x 7 \)? Simplify terms and state the degree of the polynomial. When there are multiple like terms, arrange the terms in order of decreasing degree and simplify. Since \(5xy\) and \(3xy\) are like terms (with a variable of \(xy\)), we can subtract their coefficients together to get \(5xy - 3xy = (5-3) xy = 2xy \). Since \(2xy\) and \(5xy\) are like terms (with a variable of \(xy\)), we can add their coefficients together to get \( 2xy 5xy = (2 5) xy = 7 xy \). The terms \( 2xy\) and \(2x\) are not alike.Ĭombining like terms refers to adding (or subtracting) like terms together to make just one term. For example, the terms \( 2xy\) and \(5xy\) are alike as they have the same variable \(xy\). Remember to follow the order of the operations: parentheses, exponents, multiplication/division, addition/subtraction."Like terms" refer to terms whose variables are exactly the same, but may have different coefficients. To evaluate an expression, just replace the variables with grouping symbols, insert the values given for the variables, and do the arithmetic. three more than the product of 2 and x: 2 x 3 the sum of a number and 5: x 5 or 5 xĥ. Give the algebraic expression for each of the following.ĥ. For division: halve, divided by, ratio.For multiplication: times, product, multiplied by, of.For subtraction: minus, less than, smaller than, decrease.For addition: sum, more than, greater than, increase.Key words that can help you translate words into letters and numbers include: Variables are used to change verbal expressions into algebraic expressions, that is, expressions that are composed of letters that stand for numbers. The letter o is usually not used because it can be mistaken for 0 (zero). The letters e and i have special values in algebra and are usually not used as variables. The letters x, y, z, a, b, c, m, and n are probably the most commonly used variables. Quiz: Variables and Algebraic Expressionsīefore you start solving equations, you should have a basic understanding of variables, as well as translating and evaluating algebraic expressions.Ī variable is a letter used to stand for a number.Variables Algebraic Expressions and Simple Equations.Quiz: Arithmetic Progressions and Geometric Progressions.Quiz: Calculating Measurements of Basic Figures.Calculating Measurements of Basic Figures.Customary System, Metric System, and Converting Units of Measure Rationals (Signed Numbers Including Fractions).Quiz: Rationals (Signed Numbers Including Fractions).Quiz: Changing Percents, Decimals, and Fractions, and Important Equivalents.Changing Percents, Decimals, and Fractions.Quiz: Changing Fractions to Decimals, Changing Terminating Decimals to Fractions, and Changing Infinite Repeating Decimals to Fractions.Changing Infinite Repeating Decimals to Fractions.Changing Terminating Decimals to Fractions.Quiz: Simplifying Fractions and Complex Fractions.Simplifying Fractions and Complex Fractions.Quiz: Multiplying and Dividing Fractions and Mixed Numbers.Multiplying Fractions and Mixed Numbers.Quiz: Adding and Subtracting Fractions and Mixed Numbers.Quiz: Proper and Improper Fractions, Mixed Numbers, and Renaming Fractions.Quiz: Factors, Primes, Composites, and Factor Trees. ![]() Factors, Primes, Composites, and Factor Trees.Quiz: Estimating Sums, Differences, Products, and Quotients.Estimating Sums, Differences, Products, and Quotients.Quiz: Grouping Symbols and Order of Operations.Ways to Show Multiplication and Division.Grouping Symbols and Order of Operations.Quiz: Properties of Basic Mathematical Operations.Properties of Basic Mathematical Operations.Quiz: Ways to Show Multiplication and Division, Multiplying and Dividing by Zero, and Common Math Symbols. ![]()
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