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Fold lengthwise to the holes. Reading and Writing Store the Foldable in a 3-ring binder. As you read and study the chapter, write notes and examples under the tabs. Review these skills before beginning Chapter 1. For review, see pages and For review, see page In algebra, are symbols used to represent unspecified numbers or values. Any letter may be used as a variable. The letter s was used above because it is the first letter of the word side. An consists of one or more numbers and variables along with one or more arithmetic operations.
Here are some examples of algebraic expressions. Here are several ways to represent the product of x and y. Write Algebraic Expressions Write an algebraic expression for each verbal expression. Example 1Example 1 A baseball infield is a square with a base at each corner. Each base lies the same distance from the next one. Suppose s represents the length of each side of the square. Since the infield is a square, you can use the expression 4 times s, or 4s to find the perimeter of the square. The exponent indicates the number of times the base is used as a factor.
Symbols Words Meaning By definition, for any nonzero number x, x0 1. Write Verbal Expressions Write a verbal expression for each algebraic expression. So the expression can be written as 7 4x. Reading Math When no exponent is shown, it is understood to be 1. For example, a a1. Explain the difference between an algebraic expression and a verbal expression. Write an expression that represents the perimeter of the rectangle. Write an algebraic expression for each verbal expression. Write an expression for the amount of change he will receive if p represents the cost of the peanuts. Write an expression to represent the amount of money she will have if she has s dollars saved and she adds d dollars per week for the next 12 weeks.
If the radius of a circle is r, write an expression that represents the area of the circle. Evaluate each expression. Write an expression for the cost of buying b dozen bagels and d dozen donuts. She drives an average of m miles each day for two weeks. Write a verbal expression for each algebraic expression. In other words, the volume of ice equals the sum of the volume of the water and the product of one-eleventh and the volume of the water.
If x cubic centimeters of water is frozen, write an expression for the volume of the ice that is formed. Write an expression that represents the surface area of a prism. Write an expression representing the pounds of trash produced in a day by a family that has m members. Source: Vitality Find the value of a such that the area and the perimeter of the square are the same. Answer the question that was posed at the beginning of the lesson. What expression can be used to find the perimeter of a baseball diamond? What is 6 more than 2 times a certain number x? Write 4 4 4 c c c c using exponents. Source: U. To review operations with fractions, see pages — These words also help to connect numerical data. The table shows a few examples. Notice that all three expressions are worded differently, but the first expression is the only one that is different algebraically. In the second expression, parentheses indicate that the sum, x y, is multiplied by four. In algebraic expressions, terms grouped by parentheses are treated as one quantity.
So, 4 x y can also be read as four times the quantity x plus y. Words that may indicate parentheses are sum, difference, product, and quantity. Reading to Learn Read each verbal expression aloud. Then match it with the correct algebraic expression. Step 2 Evaluate all powers. A rule is needed to let you know which operation to perform first. This rule is called the. Nicole is signing up with a new internet service provider. Suppose Nicole is online for hours the first month. The expression 4. Study Tip Fraction Bar Evaluate 6 32 4 4 2. Then simplify. Algebraic expressions can be evaluated when the values of the variables are known. First, replace the variables with their values. Then, find the value of the numerical expression using the order of operations. Evaluate an Algebraic Expression Evaluate a2 b3 4c if a 7, b 3, and c 5. Example 4Example 4 A fraction bar is another type of grouping symbol. It indicates that the numerator and denominator should each be treated as a single value.
They indicate that the expression within the grouping symbol is to be evaluated first. Example 2Example 2 Lesson Order of Operations 13www. Describe how to evaluate 8[62 3 2 5 ] 8 3. Who is correct? Explain your reasoning. Write an expression you could use to find the cost of 5 software packages.
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