By Laurie Boswell, Holt Mcdougal
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Extra info for Algebra: Concepts and Skills
10 Subtract. You are 10 points ahead of your friend. Evaluate a Real-Life Expression 8. Your friend makes 4 field goals. You make three times as many field goals as your friend plus one field goal. How many points do you have? Explain the order of operations you followed. 9. Your friend makes 6 field goals and 2 free throws. You make twice as many field goals as your friend and half the number of free throws. How many points do you have? Explain the order of operations you followed. 3 Exercises Guided Practice Vocabulary Check 1.
What operation does decreased by indicate? 2. Translate the phrase into a variable expression. Skill Check Match the phrase with its variable expression. Let x represent the number. 3. A number increased by 11 A. x Ϫ 11 4. The product of 11 and a number B. x ϩ 11 5. The difference of a number and 11 x C. ᎏᎏ 11 6. The quotient of a number and 11 D. 11x Write the sentence as an equation or an inequality. 7. A number x increased by 10 is 24. 8. The product of 7 and a number y is 42. 9. 20 divided by a number n is less than or equal to 2.
To evaluate a variable expression, you write the expression, substitute a number for each variable, and simplify. The resulting number is the value of the expression. EVALUATING EXPRESSIONS Write expression. EXAMPLE 2 Substitute numbers. Simplify. Evaluate the Variable Expression Evaluate the variable expression when y ϭ 2. Solution EXPRESSION SUBSTITUTE SIMPLIFY a. 5y ϭ 5(2) ϭ 10 10 b. ᎏᎏ y ϭ ᎏᎏ 10 2 ϭ5 c. y ϩ 6 ϭ2ϩ6 ϭ8 d. 14 Ϫ y ϭ 14 Ϫ 2 ϭ 12 Evaluate the Variable Expression Evaluate the variable expression when x ؍3.