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Algebra 1: Expressions Unit Name _______Answer Key____________________ Period _______________ Date _________________ Review I. N-RN.3: I can apply properties of rational and irrational numbers. 1. Part A:What is the product of 3. Given the triangle below, d is a rational number. Explain why the perimeter is a rational number 6 11 and ? 7 12 17 84 11 b. 14 a. c. 11 14 d. 17 84 d d 3 d+2 Explanation: __ Perimeter is the sum of all sides, -3 and 2 are rational numbers therefore the only way for the sum to result in an rational number is if all the sides are rational so d has to be a rational number as well._____________________ Answer: ___C____ Part B: Is the product rational or irrational? II. A-SSE.1a Learning Target: I can interpret parts of an expression. Answer: __Rational___ 4. a. Given the expression 6xy identify the coefficient. 2. The rectangle shown below has a length of 6 ft. The value of the area, in square feet, is an irrational number. Answer: ____6_______ b. Given the expression 3x + 4xy – 9y + 2 identify the constant. 6 feet w Answer: ____2________ Complete the statement: rational number or irrational number. c. Given the expression x2 + 3x – 6 identify the factor of x. The number w that represents the width of the rectangle must be _Irrational___. Answer: ____3________ Explanation: __Area is length times width. The length of the rectangle is 6 which is a rational number, therefore the only way for the product to result in an irrational number is to multiply by a rational to an irrational number._________ Algebra 1: Expressions Unit Review – Answer Key 05/27/14 PUHSD Algebra Curriculum Team 5. Given the expression x2 – 3x + 6, Carol determined that there are three terms. Justify her answer. 8. At the concert, the number of people entering through Gate A is 5( x 4) and the number of people entering through Gate B is 5x 4 , where x 0 . Compare the number of people using Gate A with those using Gate B. Justification: _Terms are separted by addition or subtraction signs since this expression has an addition and a subtraction sign, the expression is separated into 3 terms.______________________ Gate A <, > ,= Gate B 6. Evaluate the algebraic expression 2 a b when a = 7 and b = 2 . -25 III. A-SSE.1b: I can interpret complicated expressions by their parts. Answer:__Gate A will always be more than Gate B because the expression for Gate A is multiplying by the sum of a number and 4, where Gate B is multiply than adding 4 to that product.________________________________ 7. Part A: Explain whether 3x 2 y will be positive or negative if x is positive. x y Positive/Negative 9. Part A: Hector downloads 27 songs from iTunes each month for m months in a row. Write an expression to show how many songs Hector dowlown in all. Answer: __27m_____ Part B: Find the number of songs Hector downloaded in 2 years. Answer: _Negative___ Part B: Is this always true? Answer: _648 Songs_ Circle one: Always, Sometimes or Never Algebra 1: Expressions Unit Review –Answer Key 05/27/14 PUHSD Algebra Curriculum Team