Holt CA Course 1 1-6Writing Algebraic Expressions AF1.2 Write and evaluate an algebraic expression for a given situation, using up to three variables. California Standards

Holt CA Course 1 1-6Writing Algebraic Expressions VOCABULARY CARDS Sum Difference Product Quotient

Holt CA Course 1 1-6Writing Algebraic Expressions

Holt CA Course 1 1-6Writing Algebraic Expressions A Great Dane weighs about 40 times as much as a Chihuahua. An expression for the weight of the Great Dane could be 40c, where c is the weight of the Chihuahua. When solving real-world problems, you will need to translate words, or verbal expressions, into algebraic expressions.

Holt CA Course 1 1-6Writing Algebraic Expressions OperationVerbal Expressions Algebraic Expressions add 3 to a number a number plus 3 the sum of a number and 3 3 more than a number a number increased by 3 subtract 12 from a number a number minus 12 the difference of a number and less than a number a number decreased by 12 take away 12 from a number a number less than 12 n + 3 x – 12

Holt CA Course 1 1-6Writing Algebraic Expressions OperationVerbal Expressions Algebraic Expressions 2 times a number 2 multiplied by a number the product of 2 and a number 6 divided into a number a number divided by 6 the quotient of a number and 6 2m or 2 m ÷ a6a6 ÷ 6 or a

Holt CA Course 1 1-6Writing Algebraic Expressions Teacher Example 1: Translating Verbal Expressions into Algebraic Expressions Write each phrase as an algebraic expression. 1A. the quotient of a number and 4 quotient means “divide” 1B. w increased by 5 increased by means “add” w + 5 n4n4

Holt CA Course 1 1-6Writing Algebraic Expressions Student Practice 1: 1A. a number decreased by 10 decreased means “subtract” 1B. r plus 20 plus means “add” r + 20 n – 10 Write each phrase as an algebraic expression.

Holt CA Course 1 1-6Writing Algebraic Expressions Write each phrase as an algebraic expression. Teacher Example 2: 2A. the difference of 3 times a number and 7 the difference of 3 times a number and 7 2B. the quotient of 4 and a number, increased by 10 3 x – 7 the quotient of 4 and a number, increased by 10 4n4n + 10

Holt CA Course 1 1-6Writing Algebraic Expressions Student Practice 2: Write each phrase as an algebraic expression. 2A. the product of a number and 5 2B. 4 times the difference of y and 8 y – 8 n 5 the product of a number and 5 5n5n 4 times the difference of y and 8 4(y – 8) 4

Holt CA Course 1 1-6Writing Algebraic Expressions Mr. Campbell drives at 55 mi/h. Write an algebraic expression for how far he can drive in h hours. Then evaluate the expression for h = 3, and tell what the value of the expression means. Teacher Example 3: Translating Real-World Problems into Algebraic Expressions You need to put equal parts together. This involves multiplication. 55mi/h  h hours = 55(h) miles 55(h) milesWrite the expression. Substitute 3 for h.55(3) miles Multiply.165 Mr. Campbell can drive 165 miles in 3 hours.

Holt CA Course 1 1-6Writing Algebraic Expressions You need to put equal parts together. This involves multiplication. 8(h) unitsWrite the expression. Substitute 5 for h.8(5) units Multiply.40 Julie Ann can build 40 units in 5 hours. Student Practice 3: Julie Ann works on an assembly line building computers. She can assemble 8 units an hour. Write an expression for the number of units she can produce in h hours. Then evaluate the expression for h = 5, and tell what the value of the expression means. 8 units/h  h hours = 8h

Holt CA Course 1 1-6Writing Algebraic Expressions 1.6 Warm-Up Evaluate 1. Write the Expression 2. the quotient of a number and times the sum of x and 15