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Then/Now I CAN write verbal expressions for algebraic expressions and algebraic expressions for verbal expressions. Learning Target

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Algebraic expression – consists of sums and/or products of numbers and variables. Variable – symbols used to represent unspecified numbers or values. Term – an expression that is either a number, variable, or a product of numbers and variables.

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f In multiplication, the quantities being multiplied are factors, and the result is the product. Power – an expression of the for x n. Exponent (n) – superscript of the power. Base (x) – the number raised to the power.

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Example 1 Write Verbal Expressions A. Write a verbal expression for 8x 2. Answer: eight times x squared

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Example 1 Write Verbal Expressions B. Write a verbal expression for y 5 – 16y. Answer: the difference of y to the fifth power and 16 times y

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A.A B.B C.C D.D Example 1 A.7 times a B.7 times the product of 4 and a C.7 times a to the fourth power D.4 times a to the seventh power A. Write a verbal expression for 7a 4.

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A.A B.B C.C D.D Example 1 A.the sum of 3 and x B.the product of x squared and 3 C.the sum of x and 3 squared D.the sum of x squared and 3 B. Write a verbal expression for x 2 + 3.

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KC

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Example 2 Write Algebraic Expressions A. Write an algebraic expression for 5 less than a number c. The words less than suggest subtraction. Answer: Thus, the algebraic expression is c – 5. a number clessfive c–5c–5

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Example 2 Write Algebraic Expressions B. Write an algebraic expression for 9 plus the product of 2 and d. Plus implies add, and product implies multiply. Answer: The expression can be written as 9 + 2d.

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Example 2 Write Algebraic Expressions C. Write an algebraic expression for two fifths of the area a. The word of implies multiply.

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A.A B.B C.C D.D Example 2 A.9 – h B.9h C.9 + h D.h – 9 A. Write an algebraic expression for nine more than a number h.

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A.A B.B C.C D.D Example 2 A.6 – 4x B.(6 – 4)x C.6 + 4x D.6x – 4 B. Write an algebraic expression for the difference of 6 and 4 times a number x.

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A.A B.B C.C D.D Example 2 C. Write an algebraic expression for one half the size of the original perimeter p. A.2p B. C. p 2 D.p

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Example 3 Write an Expression ENTERTAINMENT Mr. Nehru bought two adult tickets and three student tickets for the planetarium show. Write an algebraic expression that represents the cost of the tickets. Answer: The cost of the tickets is represented by 2a + 3c. Let a be the cost of each adult ticket and c be the cost of each student ticket. The cost of the adult tickets is represented by 2a and the cost of the student tickets is represented by 3c.

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A.A B.B C.C D.D Example 3 A.20 – p B.p – 20 C.20 + p D.20 p MONEY Lorenzo bought a bag of peanuts that cost p dollars and he gave the cashier a $20 bill. Write an expression for the amount of change that he will receive.

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