Download Name September 18, 2009 Alg1 Order of Operations Worksheet Part

Name
Alg1
September 18, 2009
Order of Operations Worksheet
Part I: Sets and Properties
A. Complete the Matching Column (put the corresponding letter next to the number)
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
-20  1 = -20
50=0
If 4 • 16 = 64 and 64 = 82, then 4 • 16 = 82
11 + (9 + 3) = (11 +9) + 3
7  (2  4) = (7  2)  4
-3 ∙ 4 = -3 ∙ 7
8(a + 2) = 8(a) + 8(2)
If 19 = 12 + 7, then 12 + 7 = 19
9+6=6+9
15 + 0 = 15
11) Which property is represented by:
a) Distributive
b) Transitive
c) Commutative Property of Multiplication
d) Associative Property of Multiplication
e) Multiplicative property of zero
f) Associative Property of Addition
g) Symmetric
h) Reflexive
I) Multiplicative identity
j) Additive Identity
5(4 + 7x) = 20 + 35x
a) Associative Property of Mult.
b) Commutative Property of Add.
c) Distributive Property
d) Associative Property of Add.z
12) Which property is illustrated by 5+ (a + 6) = (5 + a) + 6
a) Associative Property of Mult.
b) distributive
c) Associative Property of Add.
d) symmetric
13) What is the formula for area of a trapezoid?
a) A = lh
b) A = ½ h(b1 + b2)
c) A = ½ d1d2
d) A = lwh
14) What property is represented by: If 9 • 5 = 45, then 45 = 9 • 5 ?
a) Symmetric Property
c) Commutative Property of Mult.
b) Transitive Property
d) Reflexive
15) Which property is represented by: If 5 – 17 = -12 and -12 = -4 ∙ 3, then 5 – 17 = -4 • 3 ?
a) Transitive Property
b) Symmetric Property
c) Reflexive Property
d) Commutative Property of Add.
16) Which property is represented by: 8 • 9 = 9 • 8 ?
a) Transitive Property
c) Reflexive Property
b) Commutative Property of Add.
d) Symmetric Property
Name
Alg1
September 18, 2009
Order of Operations Worksheet
17) Write a statement that illustrates the Mult. Property of Zero:
18) Write a statement that illustrates the Reflexive Property:
19) Find the number that is an integer, but not a natural.
a) π
b) -6
c) 0
d) none
20) Which number is whole, but not rational?
a) -6
c) ⅔
b) -0
d) none
B. Complete the Matching Column (put the corresponding letter next to the number) (1 pt. each)
11) If 18 = 13 + 5, then 13 + 5 = 18
12) 6  (2  5) = (6  2)  5
13) 5(7 + 2) = 5(7) + 5(2)
14) 15 + (10 + 3) = (15 +10) + 3
15) 50  1 = 50
16) 7 ∙ 4 = 4 ∙ 7
17) 13 +0 = 13
18) 11 + 8 = 8+ 11
19) If 30 + 34 = 64 and 64 = 82, then 30 + 34 = 82
10) 11  0 = 0
11) Which property is represented by:
a) Reflexive
b) Additive Identity
c) Multiplicative identity
d) Associative Property of Multiplication
e) Transitive
f) Associative Property of Addition
g) Symmetric
h) Commutative Property of Multiplication
I) Multiplicative property of zero
5+ (4 + 7x) = (5 + 4) + 7x?
a) Associative Property of Add.
b) Commutative Property of Add.
c) Distributive Property
d) Symmetric Property
12) Which property is illustrated by 5(a + 6) = 5(a) + 5(6)
a) associative prop. of add.
b) distributive
13) What is the formula for area of a rhombus?
c) transitive
d) symmetric
Name
Alg1
September 18, 2009
Order of Operations Worksheet
a) A = lh
b) A = ½ h(b1 + b2)
c) A = ½ d1d2
d) A = lwh
14) What property is represented by: If 4 + 14 = 18 and 18 = 6 ∙ 3, then 14 + 4 = 6 ∙ 3 ?
a) Symmetric Property
c) Commutative Property of Add.
b) Transitive Property
d) Awesome Property
15) Which property is represented by: 3 + 9 = 9 + 3 ?
a) Transitive Property
c) Reflexive Property
b) Symmetric Property
16) Which property is represented by:
d) Commutative Property of Add.
If 3 + 11 = 14, then 11 = 3 + 11 ?
a) Transitive Property
c) Reflexive Property
b) Commutative Property of Add.
d) Symmetric Property
17) Write a statement that illustrates the Additive Identity property:
18) Write a statement that illustrates the Multiplicative Identity property:
19) Find the number that is whole, but not an integer.
a) π
b) -6
c) 0
d) none
20) Which number is rational, but not an integer?
a) -6
b) -0
c) ⅔
d) none
Name
Alg1
September 18, 2009
Order of Operations Worksheet
Part II: PEMDAS
1) -92 =
2) (-9)2 =
3) (-7)2 =
4) -72 =
5) -83 =
6) (-8)3=
7) -54 =
8) (-5)4=
9) 200 ÷ (72 – 9) + (-12) • ⅓ =
10) Substitute and evaluate: b = -4
11b + 2b2 ÷ ½ - 4b =
11) 150 – 122 + [15 – 8(3)] ÷ 3 + 10 =
Name
Alg1
12) Substitute and Evaluate:
September 18, 2009
Order of Operations Worksheet
x = -8 and y = -3
4y3 – (2x + 3y – 11) ÷ y + 2x2 =
13) Substitute and Evaluate:
4c2 – 20 + (3c – 5d) _
2d2 – c3 – d – 13
c = -5 and d = 7
Name
Alg1
September 18, 2009
Order of Operations Worksheet
Part III: Simplifying and Combining Like Terms:
YOU MUST SHOW ALL WORK!
1) (19x - 14) + (8 - 13x)
2) (12x + 5) - (17x - 13)
3) 6(4x - 11) + 5(7x + 13)
4) 8(9x + 6) - 6(12x - 8)
5) 9(4x2 - 7x + 8) - 6(-6x2 - 5x + 12)
6) 6(11x2 - 9x + 6x) + 11(-4x2 - 3x - 2)
Name
Alg1
7) (9x - 11) + (3x + 9)
9) 6(4x – 5) + 11(14x + 15)
11) 5(8x2 – 6x + 12) - 10(4x2 - 3x + 6)
September 18, 2009
Order of Operations Worksheet
8) (10x2 – 9x + 11) - (12x2 – 7x + 9)
10) 4(12x – 6) - 6(8x + 11)
12) 13(-5x2 + 3x – 6) + 8(7x2 + 8)
13) 6(6x4 – 8x3 + 10x2 – 4x + 2) – 4(9x4 – 12x3 + 15x2 – 6x + 3)
Name
Alg1
September 18, 2009
Order of Operations Worksheet
Part IV: Solving Equations:
Show all work:
1) ⅜ x + 91 = 67
2) 43 - ⅔ x = 81
3) ¾x - 84 = 9
4) 54 - ⅝ x = -1
5) 6(4x + 3) – 8(4x - 2) = 106
6) 3(4x – 5) = 5(2x - 1)
Name
Alg1
September 18, 2009
Order of Operations Worksheet
7) 8(8x + 3) + 9(4x - 2) = 306
8) 5(6x – 5) = 19(2x - 3)
9) 3(10x - 7) = 11(2x + 1)
10) 8(11x – 5) – 9(10x - 2) = 8
11) 6(3x + 5) = 7(2x + 2)
12) 9(8x + 3) – 8(6x - 2) = -5
Name
Alg1
September 18, 2009
Order of Operations Worksheet
13) 4(3x + 7) + 10 .
= 10
11
15) 6(5x + 2) + 8 .
25
14) 3(10x + 8) .
+ 8 = -16
4
= -4
16) 5(2x + 4) .
8
-9=1
Name
Alg1
September 18, 2009
Order of Operations Worksheet
17) 3(3x – 7) .
– 12 = 0
5
19) 8(5x - 6) .
9
18) 5(5x - 3) + 2 .
=8
-11
+ 3 = 11
20) 6(2x + 5) - 14 .
5
=-4