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Order of Operations

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Use the Distributive Property to multiply mentally.
29(7) =
a.
203
b.
250
c.
300
d.
200
 

 2. 

Which sentence illustrates the Commutative Property of Addition?
a.
140 + 0 = 140
b.
734 + 256 = 256 + 734
c.
70(17 + 7) = (70 ´ 17) + (70 ´ 7)
d.
88 + (101 + 226) = (88 + 101) + 226
 

 3. 

Lisa’s father told her that for every dollar that she saved until the end of the week, he would give her three more dollars. At the end of the week, Lisa had spent all of her money. Which Property would Lisa’s father use to determine the amount of money he would give Lisa at the end of the week?
a.
Associative Property of Multiplication
b.
Commutative Property of Multiplication
c.
Multiplication Property of Zero
d.
Identity Property of Multiplication
 

 4. 

You have a summer job washing cars. How much do you charge for washing 22 cars?
mc004-1.jpg
a.
$66.00
b.
$71.50
c.
$83.60
d.
$97.50
 

 5. 

What is the missing number?
(11 ´ ____) ´ 33 = 11 ´ (28 ´ 33)
a.
11
b.
28
c.
308
d.
924
 

 6. 

Gloria is thinking of a number. She adds 6 to the number. Then she divides the resulting number by 5 and gets 5. What is Gloria’s original number?
a.
6
b.
16
c.
19
d.
150
 

 7. 

Sonya is buying 5 CDs. Each CD costs $6.95. Which of the following is NOT an expression for the total cost before tax?
mc007-1.jpg
a.
5 ´ ($6 + $0.95)
b.
$6.95 + $6.95 + $6.95 + $6.95 + $6.95
c.
5 ´ $6 ´ $0.95
d.
5 ´ ($7 – $0.05)
 

 8. 

What is the missing number? Then tell what property is shown.
(15 mc008-1.jpg ____) mc008-2.jpg 6 = 15 mc008-3.jpg (3 mc008-4.jpg 6)
a.
15; Commutative Property of Multiplication
b.
3; Associative Property of Multiplication
c.
3; Commutative Property of Multiplication
d.
6; Associative Property of Multiplication
 

 9. 

Matthew comes across 7(98) on his math test. Find the answer that correctly uses the Distributive Property to solve the problem.
a.
7(80 +8)
b.
7 mc009-1.jpg 9 mc009-2.jpg 8
c.
7(90) mc009-3.jpg 7(8)
d.
7(90 + 8)
 

 10. 

Gabe has 23 stamps and Stanley has 26 stamps. Use the Commutative Property of Addition to write a number sentence that shows two ways to find how many stamps they have altogether.
a.
26 + 23 = 32 + 26
c.
23 + 26 = 26 + 23
b.
32 + 62 = 23 + 26
d.
23 + 62 = 26 + 23
 

 11. 

In order to buy a new DVD, Loren is selling 5 CDs for $6.25 each. The new DVD costs $17.95. How much money will Loren have left after buying the DVD?
mc011-1.jpg
a.
$17.95
b.
$14.30
c.
$31.25
d.
$13.30
 

 12. 

What number is missing?
___(4 + 17) = 6(4) + 6(17)
a.
6
b.
9
c.
4
d.
17
 

 13. 

On Valerie’s chapter test, she sees the following question: 9 – 15 ÷ 5 ´ 2 + 4. What is the value of the expression?
a.
9
c.
7
b.
16
d.
10
 

 14. 

Ralph’s flower garden has two sections as shown in the picture. Which expression uses the Distributive Property to find the total area of Ralph’s flower garden?
mc014-1.jpg
a.
26 ´ (13 + 6)
c.
26 ´ 13 ´ 26 ´ 6
b.
26 ´ 13 ´ 6
d.
26 + (13 ´ 6)
 

 15. 

Evaluate the following expression using order of operations.
(7 – 5) mc015-1.jpg 42 ÷ 2 + 6
a.
6
c.
32
b.
22
d.
16
 

 16. 

Which number sentence shows the Identity Property of Multiplication?
a.
1 mc016-1.jpg 345 = 345
c.
1 mc016-3.jpg 0 = 1
b.
267 mc016-2.jpg 0 = 267
d.
253 mc016-4.jpg 1 = 1
 

 17. 

What must be done first to evaluate the expression?
75 – 30 ÷ 5 mc017-1.jpg 3 + 3
a.
Subtract 75 – 30.
c.
Multiply 5 mc017-2.jpg 3.
b.
Divide 30 ÷ 5.
d.
Add 3 + 3.
 

 18. 

Mo entered 3 + 9 ´ 8 on his calculator and got a result of 75.
What result will Mo’s calculator give for the following expression?
mc018-1.jpg
+
mc018-2.jpg
´
mc018-3.jpg
a.
24
b.
38
c.
55
d.
72
 

 19. 

Nora found 617 – 395 using compensation. Which equal expression could she have used?
a.
622 – 400
b.
622 – 395
c.
617 – 400
d.
617 – 300
 

 20. 

Which of the following number expressions is equal to 37?
a.
(5 mc020-1.jpg 4) mc020-2.jpg 4 mc020-3.jpg 1
c.
3 mc020-7.jpg 6 mc020-8.jpg 4 mc020-9.jpg 1
b.
7 mc020-4.jpg 2 mc020-5.jpg 3 mc020-6.jpg 9
d.
(7 mc020-10.jpg 7) mc020-11.jpg 3 – 5
 

 21. 

What is the value of the expression (9 + 3)2 – 4?
a.
130
c.
86
b.
128
d.
140
 

 22. 

Which sentence illustrates the Associative Property of Multiplication?
a.
8 mc022-1.jpg (13 + 5) = (8 mc022-2.jpg 13) + 5
c.
436 + 0 = 436
b.
(8 + 13) + 5 = 8 + (13 + 5)
d.
(8 mc022-3.jpg 13) mc022-4.jpg 5= 8 ´ (13 ´ 5)
 

 23. 

There are 7 days in a week, 24 hours in a day and 60 minutes in an hour. Using the Associative Property of Multiplication, write a number sentence that shows two ways to find the number of minutes in a week.
a.
10,080 mc023-1.jpg 1 = 1 mc023-2.jpg 10,080
c.
7 mc023-7.jpg 24 mc023-8.jpg 60 = 10,080 mc023-9.jpg 1
b.
7 mc023-3.jpg 24 mc023-4.jpg 60 = 60 mc023-5.jpg 24 mc023-6.jpg 7
d.
7 mc023-10.jpg (24 mc023-11.jpg 60) = (7 mc023-12.jpg 24) mc023-13.jpg 60
 

 24. 

Use the symbols +, –, ´, and ÷ to make the number sentence true.
(8 _ 3) _ 23 _ 17 = 33
a.
–   mc024-1.jpg   +
c.
÷   –   mc024-3.jpg
b.
+   –   mc024-2.jpg
d.
mc024-4.jpg   – mc024-5.jpg
 

 25. 

Joshua used the Distributive Property to find the answer to the following expression: 21(7 – 4). What answer did Joshua get?
a.
63
b.
147
c.
137
d.
84
 

 26. 

Jeremy is selling 5 of his DVDs on the Internet for $12.50 each. Which of the following expressions describes the amount Jeremy will be paid?
mc026-1.jpg
a.
$12.50 – 5
b.
5 + $12.50
c.
$12.50 ÷ 5
d.
5 mc026-2.jpg $12.50
 

 27. 

Which expression is NOT equal to the total number of club members?
CLUB MEMBERS
Boys
Girls
23
66
a.
(20 + 60) + (3 + 6)
c.
(20 + 3) + (60 + 6)
b.
20 + 70
d.
23 + (70 – 4)
 

 28. 

Evaluate the expression (7 + 8) mc028-1.jpg 5 mc028-2.jpg 6.
a.
450
c.
165
b.
175
d.
440
 

 29. 

What is done first to evaluate the expression 75 – 30 ÷ 5 ´ 3 + 3?
a.
Subtract 75 – 30.
c.
Divide 30 ÷ 5.
b.
Multiply 5 ´ 3.
d.
Add 3 + 3.
 

 30. 

Which property is illustrated?
15 + (456 + 237) = (15 + 456) + 237
a.
Associative Property of Addition
b.
Commutative Property of Addition
c.
Commutative Property of Multiplication
d.
Identity Property of Addition
 



 
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