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[object Object],[object Object],[object Object],[object Object],5Min 2-1 Write an algebraic expression for the verbal expression, the difference of 12 and  n . (over Lesson 1-1) A. 12 –  n B. n  – 12 C. D. 12  ×  n
5Min 2-2 ,[object Object],[object Object],[object Object],[object Object],A. 4 +  n 2 B. (4 n ) 2 C. n (4 2 ) D. 4 n 2 Write an algebraic expression for the verbal expression, four times the square of  n . (over Lesson 1-1)
[object Object],[object Object],[object Object],[object Object],5Min 2-3 A. 2187 B. 343 C. 147 D. 21 Evaluate 7 3 . (over Lesson 1-1)
[object Object],[object Object],[object Object],[object Object],5Min 2-4 A. two times a number  c  plus a number  d B. two times the square of the sum of numbers  c  and  d C. two times the square of a number  c  plus a number  d D. two times the sum of the square of a number  c  and a number  d Write a verbal expression for 2 c 2  +  d ? (over Lesson 1-1)
5Min 2-5 ,[object Object],[object Object],[object Object],[object Object],A. 0.79 m  + 0.89 p B. 0.89 m  + 0.79 p C. 1.68( m  +  p ) D. 0.79 m   ×   0.89 p Mechanical pencils sell for $0.79 each, and pens sell for $0.89 each. Which of the following options is an expression for the cost of  m  pencils and  p  pens? (over Lesson 1-1)
[object Object],[object Object],[object Object],[object Object],5Min 2-6 A. n  + (3  × 8) B. 8 – 3 n C. 3 n  – 8 D. n  – (3  × 8) What is  8 less than 3 times n ? (over Lesson 1-1)
Lesson 2 MI/Vocab ,[object Object],[object Object],[object Object]
Lesson 2 CA Reinforcement of Standard 7AF1.2  Use the correct order of operations to evaluate algebraic expressions such as 3(2 x  + 5) 2 . (CAHSEE)
Lesson 2 KC1
Lesson 2 Ex1 Evaluate Expressions Evaluate 48 ÷ 2 3  ● 3 + 5. 48 ÷  2 3  ● 3 + 5 = 48 ÷  8  ● 3 + 5 Evaluate powers. =  6  ● 3 + 5 Divide 48 by 8. =  18  + 5 Multiply 6 and 3. = 23 Add 18 and 5. Answer:   23
[object Object],[object Object],[object Object],[object Object],Lesson 2 CYP1 A. 7 B. –39 C. –33 D. 1 Evaluate the expression 3 + 6 2   ÷ 4 – 5.
Lesson 2 Ex2 Grouping Symbols A.  Evaluate (8 – 3) ● 3(3 + 2). ( 8 – 3 ) ● 3( 3 + 2 ) = 5   ● 3( 5 ) Evaluate inside group symbols. = 15(5) Multiply. = 75 Multiply. Answer:   75
Lesson 2 Ex2 Grouping Symbols B.  Evaluate 4[12 ÷ (6 – 2)] 2 . 4[12 ÷ ( 6 – 2 )] 2 =  4(12  ÷  4 ) 2 Evaluate innermost  expression first. = 4( 3 ) 2 Evaluate expression in  grouping symbol. = 4( 9 ) Evaluate power. = 36 Multiply. Answer:   36
Lesson 2 Ex2 Grouping Symbols Evaluate the power in the numerator. Multiply 6 and 2 in the numerator. Subtract 32 and 12 in the numerator. C.
Lesson 2 Ex2 Grouping Symbols Evaluate the power in the denominator. Multiply 5 and 3 in the denominator.
Lesson 2 CYP2 ,[object Object],[object Object],[object Object],[object Object],A. –60 B. 66 C. 88 D. 68 A.  Evaluate the expression 2(4 + 7) ● (9 – 5).
Lesson 2 CYP2 ,[object Object],[object Object],[object Object],[object Object],A. 9 B. 18 C. 108 D. 3 B.  Evaluate the expression 3[5 – 2 ● 2] 2 .
Lesson 2 CYP2 ,[object Object],[object Object],[object Object],[object Object],C.   A. 1 B. C. 4 D.
Lesson 2 Ex3 Evaluate an Algebraic Expression Evaluate 2( x 2  –  y ) +  z 2  if  x  = 4,  y  = 3, and  z  = 2. 2( x 2  –  y ) + z 2 = 2( 4 2  –  3 ) +  2 2 Replace  x  with 4,  y  with  3 and  z  with 2. = 2( 16  – 3) + 2 2 Evaluate 4 2 . = 2( 13 ) + 2 2 Subtract 3 from 16. = 2(13) +  4 Evaluate 2 2 . = 26 + 4 Multiply 2 and 13. = 30 Add. Answer:   30
[object Object],[object Object],[object Object],[object Object],Lesson 2 CYP3 A. 6 B. 28 C. 36 D. 10 Evaluate  x 3  –  y 2  +  z , if  x  = 3,  y  = 2, and  z  = 5.
Lesson 2 Ex4 ARCHITECTURE  Each side of the Great Pyramid at Giza, Egypt, is a triangle. The base of each triangle once measured 230 meters. The height of each triangle once measured 187 meters. The area of a triangle is one-half the product of the base  b  and its height  h . A.  Write an expression that represents the area of one side of the Great Pyramid.
Lesson 2 Ex4 Words one half  of  the product of length of  base and height Variables b  = base;  h  = height Equation × b  ●  h
Lesson 2 Ex4 B.  Find the area of one side of the Great Pyramid. Replace  b  with 230 and  h  with 187. Multiply 230 by 187. Divide 43,010 by 2. Multiply  by 43,010.
Lesson 2 Ex4 Answer:  The area of one side of the Great Pyramid is 21,505 m 2 .
[object Object],[object Object],[object Object],[object Object],Lesson 2 CYP4 A. 3813 ft 2 B. 7626 ft 2 C. 15,252 ft 2 D. 32 ft 2 Find the area of a triangle with a base of 123 feet and  a height of 62 feet.
[object Object],Pages 12 – 13 #1 – 31 odd Challenge:  #45 (pg. 14)

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Difference between 12 and algebraic expression n

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  • 8. Lesson 2 CA Reinforcement of Standard 7AF1.2 Use the correct order of operations to evaluate algebraic expressions such as 3(2 x + 5) 2 . (CAHSEE)
  • 10. Lesson 2 Ex1 Evaluate Expressions Evaluate 48 ÷ 2 3 ● 3 + 5. 48 ÷ 2 3 ● 3 + 5 = 48 ÷ 8 ● 3 + 5 Evaluate powers. = 6 ● 3 + 5 Divide 48 by 8. = 18 + 5 Multiply 6 and 3. = 23 Add 18 and 5. Answer: 23
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  • 12. Lesson 2 Ex2 Grouping Symbols A. Evaluate (8 – 3) ● 3(3 + 2). ( 8 – 3 ) ● 3( 3 + 2 ) = 5 ● 3( 5 ) Evaluate inside group symbols. = 15(5) Multiply. = 75 Multiply. Answer: 75
  • 13. Lesson 2 Ex2 Grouping Symbols B. Evaluate 4[12 ÷ (6 – 2)] 2 . 4[12 ÷ ( 6 – 2 )] 2 = 4(12 ÷ 4 ) 2 Evaluate innermost expression first. = 4( 3 ) 2 Evaluate expression in grouping symbol. = 4( 9 ) Evaluate power. = 36 Multiply. Answer: 36
  • 14. Lesson 2 Ex2 Grouping Symbols Evaluate the power in the numerator. Multiply 6 and 2 in the numerator. Subtract 32 and 12 in the numerator. C.
  • 15. Lesson 2 Ex2 Grouping Symbols Evaluate the power in the denominator. Multiply 5 and 3 in the denominator.
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  • 19. Lesson 2 Ex3 Evaluate an Algebraic Expression Evaluate 2( x 2 – y ) + z 2 if x = 4, y = 3, and z = 2. 2( x 2 – y ) + z 2 = 2( 4 2 – 3 ) + 2 2 Replace x with 4, y with 3 and z with 2. = 2( 16 – 3) + 2 2 Evaluate 4 2 . = 2( 13 ) + 2 2 Subtract 3 from 16. = 2(13) + 4 Evaluate 2 2 . = 26 + 4 Multiply 2 and 13. = 30 Add. Answer: 30
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  • 21. Lesson 2 Ex4 ARCHITECTURE Each side of the Great Pyramid at Giza, Egypt, is a triangle. The base of each triangle once measured 230 meters. The height of each triangle once measured 187 meters. The area of a triangle is one-half the product of the base b and its height h . A. Write an expression that represents the area of one side of the Great Pyramid.
  • 22. Lesson 2 Ex4 Words one half of the product of length of base and height Variables b = base; h = height Equation × b ● h
  • 23. Lesson 2 Ex4 B. Find the area of one side of the Great Pyramid. Replace b with 230 and h with 187. Multiply 230 by 187. Divide 43,010 by 2. Multiply by 43,010.
  • 24. Lesson 2 Ex4 Answer: The area of one side of the Great Pyramid is 21,505 m 2 .
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