Algebra 1 order of operations

[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 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)

Algebra 1 order of operations

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Algebra 1 order of operations