2.6 Order of Operations
Simplify. 1. 2. 3.
4. 5. 6.
7.
8.
9.
10.
11.
12.
Evaluate each expression for x = −3, y = 6, and z = −1 13. 14. 15.
16.
17.
18.
Mini-Lecture 2.6 Order of Operations
Learning Objectives:
1. Simplify expressions by using the order of operations.
2. Evaluate an algebraic expression.
Examples:
1. Simplify.
a) b) 2 5 6! " ! 2 5(5 8)! ! ! c) 2( 5)(7 3) 7! ! !
d) 80 e) f) ( 8) 15# ! ! 33 8(2! ) $ %28 2 7 2 3! ! "
g) h) i) 28 2(6) 45! " #5 23( 2) (8 10)! " ! $ %$ %21 7 15 5& '# ! # !( )!
j) 8( 2) 4 3
85 5
! ! "! #
k) * +* +36 ( 4) 1
2 ( 2)
! # ! !
! ! l)
* +20( 1) ( 5)( 3)
2 12 ( 3 3)
! ! ! !! # ! !
2. Evaluate each expression for 3, 6, 1x y and z, ! , , ! .
a) x y z" " b) 2 3y z x! " c) 2x y z! "
d) 8
2
x
y e) 25y x! f) 3x yz"
Teaching Notes:
-. Many students confuse the addition/subtraction rules with the multiplication/division rules when
working with many operations in one expression.
-. Encourage students to perform one operation at a time.
-. Refer students to Order of Operations in the textbook.
Answers: 1a) 28; 1b) 13; 1c) -47; 1d) -25; 1e) 11; 1f) 5; 1g) 61; 1h) -2; 1i) 1; 1j) 1; 1k) 2; 1l) –9’
2a) 2; 2b) 12; 2c) 2; 2d) -2; 2e) 21; 2f) -33
M-15Copyright © 2007 Pearson Education, Inc., publishing as Pearson Prentice Hall
Mini-Lecture 2.6 Order of Operations
Learning Objectives:
1. Simplify expressions by using the order of operations.
2. Evaluate an algebraic expression.
Examples:
1. Simplify.
a) b) 2 5 6! " ! 2 5(5 8)! ! ! c) 2( 5)(7 3) 7! ! !
d) 80 e) f) ( 8) 15# ! ! 33 8(2! ) $ %28 2 7 2 3! ! "
g) h) i) 28 2(6) 45! " #5 23( 2) (8 10)! " ! $ %$ %21 7 15 5& '# ! # !( )!
j) 8( 2) 4 3
85 5
! ! "! #
k) * +* +36 ( 4) 1
2 ( 2)
! # ! !
! ! l)
* +20( 1) ( 5)( 3)
2 12 ( 3 3)
! ! ! !! # ! !
2. Evaluate each expression for 3, 6, 1x y and z, ! , , ! .
a) x y z" " b) 2 3y z x! " c) 2x y z! "
d) 8
2
x
y e) 25y x! f) 3x yz"
Teaching Notes:
-. Many students confuse the addition/subtraction rules with the multiplication/division rules when
working with many operations in one expression.
-. Encourage students to perform one operation at a time.
-. Refer students to Order of Operations in the textbook.
Answers: 1a) 28; 1b) 13; 1c) -47; 1d) -25; 1e) 11; 1f) 5; 1g) 61; 1h) -2; 1i) 1; 1j) 1; 1k) 2; 1l) –9’
2a) 2; 2b) 12; 2c) 2; 2d) -2; 2e) 21; 2f) -33
M-15Copyright © 2007 Pearson Education, Inc., publishing as Pearson Prentice Hall
Mini-Lecture 2.6 Order of Operations
Learning Objectives:
1. Simplify expressions by using the order of operations.
2. Evaluate an algebraic expression.
Examples:
1. Simplify.
a) b) 2 5 6! " ! 2 5(5 8)! ! ! c) 2( 5)(7 3) 7! ! !
d) 80 e) f) ( 8) 15# ! ! 33 8(2! ) $ %28 2 7 2 3! ! "
g) h) i) 28 2(6) 45! " #5 23( 2) (8 10)! " ! $ %$ %21 7 15 5& '# ! # !( )!
j) 8( 2) 4 3
85 5
! ! "! #
k) * +* +36 ( 4) 1
2 ( 2)
! # ! !
! ! l)
* +20( 1) ( 5)( 3)
2 12 ( 3 3)
! ! ! !! # ! !
2. Evaluate each expression for 3, 6, 1x y and z, ! , , ! .
a) x y z" " b) 2 3y z x! " c) 2x y z! "
d) 8
2
x
y e) 25y x! f) 3x yz"
Teaching Notes:
-. Many students confuse the addition/subtraction rules with the multiplication/division rules when
working with many operations in one expression.
-. Encourage students to perform one operation at a time.
-. Refer students to Order of Operations in the textbook.
Answers: 1a) 28; 1b) 13; 1c) -47; 1d) -25; 1e) 11; 1f) 5; 1g) 61; 1h) -2; 1i) 1; 1j) 1; 1k) 2; 1l) –9’
2a) 2; 2b) 12; 2c) 2; 2d) -2; 2e) 21; 2f) -33
M-15Copyright © 2007 Pearson Education, Inc., publishing as Pearson Prentice Hall
Mini-Lecture 2.6 Order of Operations
Learning Objectives:
1. Simplify expressions by using the order of operations.
2. Evaluate an algebraic expression.
Examples:
1. Simplify.
a) b) 2 5 6! " ! 2 5(5 8)! ! ! c) 2( 5)(7 3) 7! ! !
d) 80 e) f) ( 8) 15# ! ! 33 8(2! ) $ %28 2 7 2 3! ! "
g) h) i) 28 2(6) 45! " #5 23( 2) (8 10)! " ! $ %$ %21 7 15 5& '# ! # !( )!
j) 8( 2) 4 3
85 5
! ! "! #
k) * +* +36 ( 4) 1
2 ( 2)
! # ! !
! ! l)
* +20( 1) ( 5)( 3)
2 12 ( 3 3)
! ! ! !! # ! !
2. Evaluate each expression for 3, 6, 1x y and z, ! , , ! .
a) x y z" " b) 2 3y z x! " c) 2x y z! "
d) 8
2
x
y e) 25y x! f) 3x yz"
Teaching Notes:
-. Many students confuse the addition/subtraction rules with the multiplication/division rules when
working with many operations in one expression.
-. Encourage students to perform one operation at a time.
-. Refer students to Order of Operations in the textbook.
Answers: 1a) 28; 1b) 13; 1c) -47; 1d) -25; 1e) 11; 1f) 5; 1g) 61; 1h) -2; 1i) 1; 1j) 1; 1k) 2; 1l) –9’
2a) 2; 2b) 12; 2c) 2; 2d) -2; 2e) 21; 2f) -33
M-15Copyright © 2007 Pearson Education, Inc., publishing as Pearson Prentice Hall
Mini-Lecture 2.6 Order of Operations
Learning Objectives:
1. Simplify expressions by using the order of operations.
2. Evaluate an algebraic expression.
Examples:
1. Simplify.
a) b) 2 5 6! " ! 2 5(5 8)! ! ! c) 2( 5)(7 3) 7! ! !
d) 80 e) f) ( 8) 15# ! ! 33 8(2! ) $ %28 2 7 2 3! ! "
g) h) i) 28 2(6) 45! " #5 23( 2) (8 10)! " ! $ %$ %21 7 15 5& '# ! # !( )!
j) 8( 2) 4 3
85 5
! ! "! #
k) * +* +36 ( 4) 1
2 ( 2)
! # ! !
! ! l)
* +20( 1) ( 5)( 3)
2 12 ( 3 3)
! ! ! !! # ! !
2. Evaluate each expression for 3, 6, 1x y and z, ! , , ! .
a) x y z" " b) 2 3y z x! " c) 2x y z! "
d) 8
2
x
y e) 25y x! f) 3x yz"
Teaching Notes:
-. Many students confuse the addition/subtraction rules with the multiplication/division rules when
working with many operations in one expression.
-. Encourage students to perform one operation at a time.
-. Refer students to Order of Operations in the textbook.
Answers: 1a) 28; 1b) 13; 1c) -47; 1d) -25; 1e) 11; 1f) 5; 1g) 61; 1h) -2; 1i) 1; 1j) 1; 1k) 2; 1l) –9’
2a) 2; 2b) 12; 2c) 2; 2d) -2; 2e) 21; 2f) -33
M-15Copyright © 2007 Pearson Education, Inc., publishing as Pearson Prentice Hall
Mini-Lecture 2.6 Order of Operations
Learning Objectives:
1. Simplify expressions by using the order of operations.
2. Evaluate an algebraic expression.
Examples:
1. Simplify.
a) b) 2 5 6! " ! 2 5(5 8)! ! ! c) 2( 5)(7 3) 7! ! !
d) 80 e) f) ( 8) 15# ! ! 33 8(2! ) $ %28 2 7 2 3! ! "
g) h) i) 28 2(6) 45! " #5 23( 2) (8 10)! " ! $ %$ %21 7 15 5& '# ! # !( )!
j) 8( 2) 4 3
85 5
! ! "! #
k) * +* +36 ( 4) 1
2 ( 2)
! # ! !
! ! l)
* +20( 1) ( 5)( 3)
2 12 ( 3 3)
! ! ! !! # ! !
2. Evaluate each expression for 3, 6, 1x y and z, ! , , ! .
a) x y z" " b) 2 3y z x! " c) 2x y z! "
d) 8
2
x
y e) 25y x! f) 3x yz"
Teaching Notes:
-. Many students confuse the addition/subtraction rules with the multiplication/division rules when
working with many operations in one expression.
-. Encourage students to perform one operation at a time.
-. Refer students to Order of Operations in the textbook.
Answers: 1a) 28; 1b) 13; 1c) -47; 1d) -25; 1e) 11; 1f) 5; 1g) 61; 1h) -2; 1i) 1; 1j) 1; 1k) 2; 1l) –9’
2a) 2; 2b) 12; 2c) 2; 2d) -2; 2e) 21; 2f) -33
M-15Copyright © 2007 Pearson Education, Inc., publishing as Pearson Prentice Hall
Mini-Lecture 2.6 Order of Operations
Learning Objectives:
1. Simplify expressions by using the order of operations.
2. Evaluate an algebraic expression.
Examples:
1. Simplify.
a) b) 2 5 6! " ! 2 5(5 8)! ! ! c) 2( 5)(7 3) 7! ! !
d) 80 e) f) ( 8) 15# ! ! 33 8(2! ) $ %28 2 7 2 3! ! "
g) h) i) 28 2(6) 45! " #5 23( 2) (8 10)! " ! $ %$ %21 7 15 5& '# ! # !( )!
j) 8( 2) 4 3
85 5
! ! "! #
k) * +* +36 ( 4) 1
2 ( 2)
! # ! !
! ! l)
* +20( 1) ( 5)( 3)
2 12 ( 3 3)
! ! ! !! # ! !
2. Evaluate each expression for 3, 6, 1x y and z, ! , , ! .
a) x y z" " b) 2 3y z x! " c) 2x y z! "
d) 8
2
x
y e) 25y x! f) 3x yz"
Teaching Notes:
-. Many students confuse the addition/subtraction rules with the multiplication/division rules when
working with many operations in one expression.
-. Encourage students to perform one operation at a time.
-. Refer students to Order of Operations in the textbook.
Answers: 1a) 28; 1b) 13; 1c) -47; 1d) -25; 1e) 11; 1f) 5; 1g) 61; 1h) -2; 1i) 1; 1j) 1; 1k) 2; 1l) –9’
2a) 2; 2b) 12; 2c) 2; 2d) -2; 2e) 21; 2f) -33
M-15Copyright © 2007 Pearson Education, Inc., publishing as Pearson Prentice Hall
Mini-Lecture 2.6 Order of Operations
Learning Objectives:
1. Simplify expressions by using the order of operations.
2. Evaluate an algebraic expression.
Examples:
1. Simplify.
a) b) 2 5 6! " ! 2 5(5 8)! ! ! c) 2( 5)(7 3) 7! ! !
d) 80 e) f) ( 8) 15# ! ! 33 8(2! ) $ %28 2 7 2 3! ! "
g) h) i) 28 2(6) 45! " #5 23( 2) (8 10)! " ! $ %$ %21 7 15 5& '# ! # !( )!
j) 8( 2) 4 3
85 5
! ! "! #
k) * +* +36 ( 4) 1
2 ( 2)
! # ! !
! ! l)
* +20( 1) ( 5)( 3)
2 12 ( 3 3)
! ! ! !! # ! !
2. Evaluate each expression for 3, 6, 1x y and z, ! , , ! .
a) x y z" " b) 2 3y z x! " c) 2x y z! "
d) 8
2
x
y e) 25y x! f) 3x yz"
Teaching Notes:
-. Many students confuse the addition/subtraction rules with the multiplication/division rules when
working with many operations in one expression.
-. Encourage students to perform one operation at a time.
-. Refer students to Order of Operations in the textbook.
Answers: 1a) 28; 1b) 13; 1c) -47; 1d) -25; 1e) 11; 1f) 5; 1g) 61; 1h) -2; 1i) 1; 1j) 1; 1k) 2; 1l) –9’
2a) 2; 2b) 12; 2c) 2; 2d) -2; 2e) 21; 2f) -33
M-15Copyright © 2007 Pearson Education, Inc., publishing as Pearson Prentice Hall
Mini-Lecture 2.6 Order of Operations
Learning Objectives:
1. Simplify expressions by using the order of operations.
2. Evaluate an algebraic expression.
Examples:
1. Simplify.
a) b) 2 5 6! " ! 2 5(5 8)! ! ! c) 2( 5)(7 3) 7! ! !
d) 80 e) f) ( 8) 15# ! ! 33 8(2! ) $ %28 2 7 2 3! ! "
g) h) i) 28 2(6) 45! " #5 23( 2) (8 10)! " ! $ %$ %21 7 15 5& '# ! # !( )!
j) 8( 2) 4 3
85 5
! ! "! #
k) * +* +36 ( 4) 1
2 ( 2)
! # ! !
! ! l)
* +20( 1) ( 5)( 3)
2 12 ( 3 3)
! ! ! !! # ! !
2. Evaluate each expression for 3, 6, 1x y and z, ! , , ! .
a) x y z" " b) 2 3y z x! " c) 2x y z! "
d) 8
2
x
y e) 25y x! f) 3x yz"
Teaching Notes:
-. Many students confuse the addition/subtraction rules with the multiplication/division rules when
working with many operations in one expression.
-. Encourage students to perform one operation at a time.
-. Refer students to Order of Operations in the textbook.
Answers: 1a) 28; 1b) 13; 1c) -47; 1d) -25; 1e) 11; 1f) 5; 1g) 61; 1h) -2; 1i) 1; 1j) 1; 1k) 2; 1l) –9’
2a) 2; 2b) 12; 2c) 2; 2d) -2; 2e) 21; 2f) -33
M-15Copyright © 2007 Pearson Education, Inc., publishing as Pearson Prentice Hall
Mini-Lecture 2.6 Order of Operations
Learning Objectives:
1. Simplify expressions by using the order of operations.
2. Evaluate an algebraic expression.
Examples:
1. Simplify.
a) b) 2 5 6! " ! 2 5(5 8)! ! ! c) 2( 5)(7 3) 7! ! !
d) 80 e) f) ( 8) 15# ! ! 33 8(2! ) $ %28 2 7 2 3! ! "
g) h) i) 28 2(6) 45! " #5 23( 2) (8 10)! " ! $ %$ %21 7 15 5& '# ! # !( )!
j) 8( 2) 4 3
85 5
! ! "! #
k) * +* +36 ( 4) 1
2 ( 2)
! # ! !
! ! l)
* +20( 1) ( 5)( 3)
2 12 ( 3 3)
! ! ! !! # ! !
2. Evaluate each expression for 3, 6, 1x y and z, ! , , ! .
a) x y z" " b) 2 3y z x! " c) 2x y z! "
d) 8
2
x
y e) 25y x! f) 3x yz"
Teaching Notes:
-. Many students confuse the addition/subtraction rules with the multiplication/division rules when
working with many operations in one expression.
-. Encourage students to perform one operation at a time.
-. Refer students to Order of Operations in the textbook.
Answers: 1a) 28; 1b) 13; 1c) -47; 1d) -25; 1e) 11; 1f) 5; 1g) 61; 1h) -2; 1i) 1; 1j) 1; 1k) 2; 1l) –9’
2a) 2; 2b) 12; 2c) 2; 2d) -2; 2e) 21; 2f) -33
M-15Copyright © 2007 Pearson Education, Inc., publishing as Pearson Prentice Hall
Mini-Lecture 2.6 Order of Operations
Learning Objectives:
1. Simplify expressions by using the order of operations.
2. Evaluate an algebraic expression.
Examples:
1. Simplify.
a) b) 2 5 6! " ! 2 5(5 8)! ! ! c) 2( 5)(7 3) 7! ! !
d) 80 e) f) ( 8) 15# ! ! 33 8(2! ) $ %28 2 7 2 3! ! "
g) h) i) 28 2(6) 45! " #5 23( 2) (8 10)! " ! $ %$ %21 7 15 5& '# ! # !( )!
j) 8( 2) 4 3
85 5
! ! "! #
k) * +* +36 ( 4) 1
2 ( 2)
! # ! !
! ! l)
* +20( 1) ( 5)( 3)
2 12 ( 3 3)
! ! ! !! # ! !
2. Evaluate each expression for 3, 6, 1x y and z, ! , , ! .
a) x y z" " b) 2 3y z x! " c) 2x y z! "
d) 8
2
x
y e) 25y x! f) 3x yz"
Teaching Notes:
-. Many students confuse the addition/subtraction rules with the multiplication/division rules when
working with many operations in one expression.
-. Encourage students to perform one operation at a time.
-. Refer students to Order of Operations in the textbook.
Answers: 1a) 28; 1b) 13; 1c) -47; 1d) -25; 1e) 11; 1f) 5; 1g) 61; 1h) -2; 1i) 1; 1j) 1; 1k) 2; 1l) –9’
2a) 2; 2b) 12; 2c) 2; 2d) -2; 2e) 21; 2f) -33
M-15Copyright © 2007 Pearson Education, Inc., publishing as Pearson Prentice Hall
Mini-Lecture 2.6 Order of Operations
Learning Objectives:
1. Simplify expressions by using the order of operations.
2. Evaluate an algebraic expression.
Examples:
1. Simplify.
a) b) 2 5 6! " ! 2 5(5 8)! ! ! c) 2( 5)(7 3) 7! ! !
d) 80 e) f) ( 8) 15# ! ! 33 8(2! ) $ %28 2 7 2 3! ! "
g) h) i) 28 2(6) 45! " #5 23( 2) (8 10)! " ! $ %$ %21 7 15 5& '# ! # !( )!
j) 8( 2) 4 3
85 5
! ! "! #
k) * +* +36 ( 4) 1
2 ( 2)
! # ! !
! ! l)
* +20( 1) ( 5)( 3)
2 12 ( 3 3)
! ! ! !! # ! !
2. Evaluate each expression for 3, 6, 1x y and z, ! , , ! .
a) x y z" " b) 2 3y z x! " c) 2x y z! "
d) 8
2
x
y e) 25y x! f) 3x yz"
Teaching Notes:
-. Many students confuse the addition/subtraction rules with the multiplication/division rules when
working with many operations in one expression.
-. Encourage students to perform one operation at a time.
-. Refer students to Order of Operations in the textbook.
Answers: 1a) 28; 1b) 13; 1c) -47; 1d) -25; 1e) 11; 1f) 5; 1g) 61; 1h) -2; 1i) 1; 1j) 1; 1k) 2; 1l) –9’
2a) 2; 2b) 12; 2c) 2; 2d) -2; 2e) 21; 2f) -33
M-15Copyright © 2007 Pearson Education, Inc., publishing as Pearson Prentice Hall
Mini-Lecture 2.6 Order of Operations
Learning Objectives:
1. Simplify expressions by using the order of operations.
2. Evaluate an algebraic expression.
Examples:
1. Simplify.
a) b) 2 5 6! " ! 2 5(5 8)! ! ! c) 2( 5)(7 3) 7! ! !
d) 80 e) f) ( 8) 15# ! ! 33 8(2! ) $ %28 2 7 2 3! ! "
g) h) i) 28 2(6) 45! " #5 23( 2) (8 10)! " ! $ %$ %21 7 15 5& '# ! # !( )!
j) 8( 2) 4 3
85 5
! ! "! #
k) * +* +36 ( 4) 1
2 ( 2)
! # ! !
! ! l)
* +20( 1) ( 5)( 3)
2 12 ( 3 3)
! ! ! !! # ! !
2. Evaluate each expression for 3, 6, 1x y and z, ! , , ! .
a) x y z" " b) 2 3y z x! " c) 2x y z! "
d) 8
2
x
y e) 25y x! f) 3x yz"
Teaching Notes:
-. Many students confuse the addition/subtraction rules with the multiplication/division rules when
working with many operations in one expression.
-. Encourage students to perform one operation at a time.
-. Refer students to Order of Operations in the textbook.
Answers: 1a) 28; 1b) 13; 1c) -47; 1d) -25; 1e) 11; 1f) 5; 1g) 61; 1h) -2; 1i) 1; 1j) 1; 1k) 2; 1l) –9’
2a) 2; 2b) 12; 2c) 2; 2d) -2; 2e) 21; 2f) -33
M-15Copyright © 2007 Pearson Education, Inc., publishing as Pearson Prentice Hall
Mini-Lecture 2.6 Order of Operations
Learning Objectives:
1. Simplify expressions by using the order of operations.
2. Evaluate an algebraic expression.
Examples:
1. Simplify.
a) b) 2 5 6! " ! 2 5(5 8)! ! ! c) 2( 5)(7 3) 7! ! !
d) 80 e) f) ( 8) 15# ! ! 33 8(2! ) $ %28 2 7 2 3! ! "
g) h) i) 28 2(6) 45! " #5 23( 2) (8 10)! " ! $ %$ %21 7 15 5& '# ! # !( )!
j) 8( 2) 4 3
85 5
! ! "! #
k) * +* +36 ( 4) 1
2 ( 2)
! # ! !
! ! l)
* +20( 1) ( 5)( 3)
2 12 ( 3 3)
! ! ! !! # ! !
2. Evaluate each expression for 3, 6, 1x y and z, ! , , ! .
a) x y z" " b) 2 3y z x! " c) 2x y z! "
d) 8
2
x
y e) 25y x! f) 3x yz"
Teaching Notes:
-. Many students confuse the addition/subtraction rules with the multiplication/division rules when
working with many operations in one expression.
-. Encourage students to perform one operation at a time.
-. Refer students to Order of Operations in the textbook.
Answers: 1a) 28; 1b) 13; 1c) -47; 1d) -25; 1e) 11; 1f) 5; 1g) 61; 1h) -2; 1i) 1; 1j) 1; 1k) 2; 1l) –9’
2a) 2; 2b) 12; 2c) 2; 2d) -2; 2e) 21; 2f) -33
M-15Copyright © 2007 Pearson Education, Inc., publishing as Pearson Prentice Hall
Mini-Lecture 2.6 Order of Operations
Learning Objectives:
1. Simplify expressions by using the order of operations.
2. Evaluate an algebraic expression.
Examples:
1. Simplify.
a) b) 2 5 6! " ! 2 5(5 8)! ! ! c) 2( 5)(7 3) 7! ! !
d) 80 e) f) ( 8) 15# ! ! 33 8(2! ) $ %28 2 7 2 3! ! "
g) h) i) 28 2(6) 45! " #5 23( 2) (8 10)! " ! $ %$ %21 7 15 5& '# ! # !( )!
j) 8( 2) 4 3
85 5
! ! "! #
k) * +* +36 ( 4) 1
2 ( 2)
! # ! !
! ! l)
* +20( 1) ( 5)( 3)
2 12 ( 3 3)
! ! ! !! # ! !
2. Evaluate each expression for 3, 6, 1x y and z, ! , , ! .
a) x y z" " b) 2 3y z x! " c) 2x y z! "
d) 8
2
x
y e) 25y x! f) 3x yz"
Teaching Notes:
-. Many students confuse the addition/subtraction rules with the multiplication/division rules when
working with many operations in one expression.
-. Encourage students to perform one operation at a time.
-. Refer students to Order of Operations in the textbook.
Answers: 1a) 28; 1b) 13; 1c) -47; 1d) -25; 1e) 11; 1f) 5; 1g) 61; 1h) -2; 1i) 1; 1j) 1; 1k) 2; 1l) –9’
2a) 2; 2b) 12; 2c) 2; 2d) -2; 2e) 21; 2f) -33
M-15Copyright © 2007 Pearson Education, Inc., publishing as Pearson Prentice Hall
Mini-Lecture 2.6 Order of Operations
Learning Objectives:
1. Simplify expressions by using the order of operations.
2. Evaluate an algebraic expression.
Examples:
1. Simplify.
a) b) 2 5 6! " ! 2 5(5 8)! ! ! c) 2( 5)(7 3) 7! ! !
d) 80 e) f) ( 8) 15# ! ! 33 8(2! ) $ %28 2 7 2 3! ! "
g) h) i) 28 2(6) 45! " #5 23( 2) (8 10)! " ! $ %$ %21 7 15 5& '# ! # !( )!
j) 8( 2) 4 3
85 5
! ! "! #
k) * +* +36 ( 4) 1
2 ( 2)
! # ! !
! ! l)
* +20( 1) ( 5)( 3)
2 12 ( 3 3)
! ! ! !! # ! !
2. Evaluate each expression for 3, 6, 1x y and z, ! , , ! .
a) x y z" " b) 2 3y z x! " c) 2x y z! "
d) 8
2
x
y e) 25y x! f) 3x yz"
Teaching Notes:
-. Many students confuse the addition/subtraction rules with the multiplication/division rules when
working with many operations in one expression.
-. Encourage students to perform one operation at a time.
-. Refer students to Order of Operations in the textbook.
Answers: 1a) 28; 1b) 13; 1c) -47; 1d) -25; 1e) 11; 1f) 5; 1g) 61; 1h) -2; 1i) 1; 1j) 1; 1k) 2; 1l) –9’
2a) 2; 2b) 12; 2c) 2; 2d) -2; 2e) 21; 2f) -33
M-15Copyright © 2007 Pearson Education, Inc., publishing as Pearson Prentice Hall
Mini-Lecture 2.6 Order of Operations
Learning Objectives:
1. Simplify expressions by using the order of operations.
2. Evaluate an algebraic expression.
Examples:
1. Simplify.
a) b) 2 5 6! " ! 2 5(5 8)! ! ! c) 2( 5)(7 3) 7! ! !
d) 80 e) f) ( 8) 15# ! ! 33 8(2! ) $ %28 2 7 2 3! ! "
g) h) i) 28 2(6) 45! " #5 23( 2) (8 10)! " ! $ %$ %21 7 15 5& '# ! # !( )!
j) 8( 2) 4 3
85 5
! ! "! #
k) * +* +36 ( 4) 1
2 ( 2)
! # ! !
! ! l)
* +20( 1) ( 5)( 3)
2 12 ( 3 3)
! ! ! !! # ! !
2. Evaluate each expression for 3, 6, 1x y and z, ! , , ! .
a) x y z" " b) 2 3y z x! " c) 2x y z! "
d) 8
2
x
y e) 25y x! f) 3x yz"
Teaching Notes:
-. Many students confuse the addition/subtraction rules with the multiplication/division rules when
working with many operations in one expression.
-. Encourage students to perform one operation at a time.
-. Refer students to Order of Operations in the textbook.
Answers: 1a) 28; 1b) 13; 1c) -47; 1d) -25; 1e) 11; 1f) 5; 1g) 61; 1h) -2; 1i) 1; 1j) 1; 1k) 2; 1l) –9’
2a) 2; 2b) 12; 2c) 2; 2d) -2; 2e) 21; 2f) -33
M-15Copyright © 2007 Pearson Education, Inc., publishing as Pearson Prentice Hall
Mini-Lecture 2.6 Order of Operations
Learning Objectives:
1. Simplify expressions by using the order of operations.
2. Evaluate an algebraic expression.
Examples:
1. Simplify.
a) b) 2 5 6! " ! 2 5(5 8)! ! ! c) 2( 5)(7 3) 7! ! !
d) 80 e) f) ( 8) 15# ! ! 33 8(2! ) $ %28 2 7 2 3! ! "
g) h) i) 28 2(6) 45! " #5 23( 2) (8 10)! " ! $ %$ %21 7 15 5& '# ! # !( )!
j) 8( 2) 4 3
85 5
! ! "! #
k) * +* +36 ( 4) 1
2 ( 2)
! # ! !
! ! l)
* +20( 1) ( 5)( 3)
2 12 ( 3 3)
! ! ! !! # ! !
2. Evaluate each expression for 3, 6, 1x y and z, ! , , ! .
a) x y z" " b) 2 3y z x! " c) 2x y z! "
d) 8
2
x
y e) 25y x! f) 3x yz"
Teaching Notes:
-. Many students confuse the addition/subtraction rules with the multiplication/division rules when
working with many operations in one expression.
-. Encourage students to perform one operation at a time.
-. Refer students to Order of Operations in the textbook.
Answers: 1a) 28; 1b) 13; 1c) -47; 1d) -25; 1e) 11; 1f) 5; 1g) 61; 1h) -2; 1i) 1; 1j) 1; 1k) 2; 1l) –9’
2a) 2; 2b) 12; 2c) 2; 2d) -2; 2e) 21; 2f) -33
M-15Copyright © 2007 Pearson Education, Inc., publishing as Pearson Prentice Hall
