Order of Operations Task Cards · Task Cards Contents • Teacher Directions, page 3 • Task Card...

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Numerical Expressions and Task Cards © T. Colon, 2016 https:// www.teacherspayteachers.com/Store/Java-Stitch-Creations Order of Operations

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NumericalExpressions

and

Task Cards

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Order of Operations

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Numerical Expressions and Order of Operations

Task Cards

Contents

• Teacher Directions, page 3

• Task Card Cover page, page 4

• 42 Task Cards, pages 5-11

• Task Cards Answer Sheet, page 12

• Task Cards Answer Key, page 13

• 7 Numerical Expressions and Order of Operations Worksheets and Answer Keys, pages 14-26

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Numerical Expressions and Order of Operations

Task Cards

Teacher DirectionsCCSS:• CSSS.MATH.CONTENT.5.OA.A.1• CCSS.MATH.CONTENT.5.OA.A.2

The purpose of these cards is to engage students in the practice of solving and writing numerical expressions, as well as using the order of operations.

I wanted the format of this product to be versatile, so I created the worksheets using the exact same problems from the task cards. Options are important! Sometimes our students just need practice with a skill, and we don’t necessarily have time to do task cards. Since each worksheet has six questions, they can easily be used as some kind of mini-assessment, or as a review later in the year.

Notes: • The following cards involve the use of

brackets/braces, in addition to parentheses: 5, 8, 11, 14, 18, 20, 21, 22, 23, 24, 26, 27, 29, 32, and 41

• The following cards involve the use of multiplying by a fraction (1/2 only): 10, 12, 14, 19, 22, 24, 25, 26, 28, 29, 34, and 40

• The following cards have a multi-select question format: 29, 37, 42

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Numerical Expressionsand

Task Cards

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Order of Operations

Numerical Expressions

Numerical ExpressionsNumerical Expressions

Numerical Expressions

Numerical Expressionsandand

andand

and

Order of Operations Order of Operations

Order of Operations Order of Operations

Order of Operations

Task Cards

Task Cards Task Cards

Task Cards Task Cards

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1 2

3 4

5 6

3 + 8 – 4 x 2 – 2

Create an equivalent expression that includes a set of

parentheses so that the value of the expression is 9.

Joe solved the expression below.Which line does a mistake first

appear?

2 x (6 x 1 + 7) + 11

Line 1: 2 x (6 x 8) + 11

Line 2: 2 x 48 + 11

Line 3: 96 + 11

Line 4: 107

An expression is shown.

15 + (9 – 4)

Which statement describes this expression?

A. The difference of 9 and 4, added to 15.

B. The sum of 15 and 9, minus 4.C. The difference of 4 and 9, added

to 15.D. The product of 9 and 4, added to

15.

Joshua has 5 buckets,

each filled with 4 shells. He finds 6 more shells on

the beach.

Write an expression using numbers and symbols that

could be used to find out how many shells Joshua has after

going to the beach.

An expression is described in words.

Subtract 3 from 10, then multiply by 4.

Create the expression using

numbers and symbols.

What is the value of the expression?

4 + [(2 + 4) x (7 + 2)]

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7 8

9 10

11 12

3 x 4 + 2 - 3

Create an equivalent expression that includes a

set of parentheses and brackets so that the value

of the expression is 11.

Tammy gets paid $15 an

hour, for 2 hours of babysitting. She then uses her money to buy 3 CD’s for

$3 each.

Write an expression using numbers and symbols that could be used to find how much money

Tammy has left.

An expression is described in words.

Half of the sum of 4 and 10, then add 6.

Create the expression using numbers and

symbols.

Sarah solved the expression below.Which line does a mistake first

appear?

[(4 – 2) x (6 + 3)] + 5 -1

Line 1: [2 x 9] + 5 - 1

Line 2: 18 + 5 - 1

Line 3: 18 + 4

Line 4: 22

Evaluate the expression:

[(12 – 4) x 8] ÷ 2

An expression is shown.

½(6 x 2) + 10

Which statement describes this expression?

A. The product of 6 and 2, plus 10.B. The sum of 10 and half of the

difference of 6 and 2.C. Half of the product of 6 and 2,

added to 10.D. Half of 6 added to 10 times 2.

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13 14

15 16

17 18

9 + 3 x 4 ÷ 3

Create an equivalent expression that includes

at least one set of parentheses so that the

value of the expression is 16.

Jason has a party and

invites 48 people. Each table at his party holds 6

people.

Write an expression that could be used to find the total number of tables Jason will need to seat

all of his guests.

An expression is described in words.

Triple the sum of 5 and 4, and then subtract 3.

Create the expression using numbers and

symbols.

Pam solved the expression below.Which line does a mistake first

appear?

[(1/2 x 10) – (6 – 3)] x 3 - 1

Line 1: [5 – 2] x 3 - 1

Line 2: 3 x 3 - 1

Line 3: 3 x 2

Line 4: 6

What is the value of the expression?

{[3 + (2 x 2)] – 1} + 14

Two expressions are shown.

A. 4 x (5 x 6)B. 5 x 6

Which statement is true about expressions A and B?

A. Expression B is 4 times the value of expression A.

B. Expression A is 4 times the value of expression B.

C. Expression A has the same value as expression B.

D. The value of expression B is greater than the value of expression A.

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19 20

21 22

23 24

7 + ½ x 10 – 3

Create an equivalent expression that

includes parentheses and brackets, so that

the value of the expression is 9.

A hotel costs $99 per night. Sam will receive a $10 per night discount

for paying in advance. A rental car costs $55 per day plus taxes

that cost $6 per day.

Which expression can Sam use to find out how much he will pay for the

hotel and rental car for 3 days.

A. [3 x (99 – 10)] + (55 + 6)B. 3 x (99 + 6) – (55 – 10)C. 3 x [(99 – 6) – (55 + 10)]D. 3 x [(99 – 10) + (55 + 6)]

An expression is described in words.

The quotient of 4 divided by two, multiplied by the

sum of 4 and 6, then subtract 8.

Create the expression using numbers and

symbols.

Kevin solved the expression below.Which line does a mistake first

appear?

25 – [(1/2 x 8) + (2 x 6) – 5]

Line 1: 25 - [4 + 12] - 5

Line 2: 25 – 16 - 5

Line 3: 25 - 11

Line 4: 14

Evaluate the expression:

10 + {[6 - (8 ÷ 4)] x 3}

An expression is shown.

(1/2 x 6) + (5 x 2) – 3

Which statement describes this expression?

A. Subtract three from ten, and then add to half of 6.

B. The product of five and two minus three, and then add half of 6.

C. Half of 6 added to ten, subtract 3.D. Half of 6 added to the product of

5 and 2, then subtract 3.

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25 26

27 28

29 30

½ x 20 ÷ 5 + 12

Create an equivalent expression that includes

at least one set of parentheses and brackets,

so that the value of the expression is 14.

Pizza Palace sells large pizzas for $8, and small pizzas for half the price of a

large pizza. Each additional topping costs $2. Michael is buying 1 large pizza with three additional toppings, and a small

pizza with no additional toppings.

Which two expressions could be used to find the amount of change Michael will

receive if he pays with a $20 bill?

A. 20 – 8 + 2 x 3 + 8 ÷ 2B. 20 – {[8 + (2 x 3)] + ½ x 8}C. 20 – (8 + 8) ÷ 2 + (2 x 3)D. 20 – 8 + (8 ÷ 2) + (2 x 3)E. 20 – [8 + (2 x 3) + (8 ÷ 2)]

An expression is described in words.

The sum of 3 and 6, multiplied by half of 10.

Create the expression using numbers and

symbols.

Angela solved the expression below. Which line does a mistake

first appear?

42 + 7 x (4 + 7 x 2)

Line 1: 42 + 7 x (11 x 2)

Line 2: 42 + 7 x 22

Line 3: 49 x 22

Line 4: 1,078

What is the value of the expression?

{[7 + (6 - 2)] x 6} ÷ 6

Two expressions are shown.

A. (3 x 4) ÷ 2B. ½ x (4 x 3)

Which statement is true about expressions A and B?

A. Expression B is half the value of Expression A.

B. Expression A is half the value of Expression B.

C. Expression A has the same value as expression B.

D. The value of expression A is greater than the value of expression B.

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31 32

33 34

35 36

7 – 5 x 3 + 9 - 4

Create an equivalent expression that

includes at least one set of parentheses, so that the value of the

expression is 20.

Jim and Pam are saving money to buy a new patio set for their

backyard that costs $275. Each week, Pam saves $15 of her

paycheck, and Jim saves $10 of his paycheck to put towards the new

patio set.

Write an expression that could be used to find out how many weeks it will take for Pam and Jim to save

enough money to buy their patio set.

An expression is described in words.

The quotient of 10 divided by 5, minus 3; multiplied by

4.

Create the expression using numbers and

symbols.

Daryl solved the expression below. Which line does a mistake first

appear?

45 + 5 x (3 + 5 x 2)

Line 1: 45 + 5 x (3 + 10)

Line 2: 45 + 5 x 13

Line 3: 50 x 13

Line 4: 650

Evaluate the expression:

24 – (1/2 x 8) + (12 ÷ 6)

An expression is shown.

(5 + 6) x (10 ÷ 5)

Which statement describes this expression?

A. The sum of 5 and 6, multiplied by the quotient of 5 divided by 10.

B. The product of 10 and 5, multiplied by the sum of 5 and 6.

C. The sum of 5 and 6, multiplied by the quotient of 10 divided by 5.

D. The difference of 5 and 6, multiplied by the quotient of 10 divided by 5.

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37 38

39 40

41 42

3 – 2 x 5 + 4 x 2 - 1

Create an equivalent expression that includes

at least one set of parentheses, so that the

value of the expression is 17.

Dwight displays his bobble-head figurines in his bedroom. He has 6

figurines on each of the 4 shelves in his room. He also has an additional 3

figurines in a display case.

Which expressions could be used to find the total number of bobble-head

figurines Dwight owns?

A. (6 x 4) – 3B. (6 x 4) + 3C. 3 + 6 x 4D. 3 + (4 x 6)E. (4 x 3) + 6

An expression is described in words.

Half of the sum of 2 and 6.

Create the expression using numbers and

symbols.

Rick solved the expression below. Which line does a

mistake first appear?

3 x (7 – 6) + 5

Line 1: 3 x 1 + 5

Line 2: 3 x 6

Line 3: 18

What is the value of the expression?

14 + {[10 - (12 ÷ 4)] x 2}

Two expressions are shown.

A. (12 - 4) ÷ 2 x 1B. 12 – 4 x 1

Which statements are true about expressions A and B?

A. Expression B is half the value of Expression A.

B. Expression A is half the value of Expression B.

C. Expression A has the same value as expression B.

D. The value of expression A is less than the value of expression B.

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1. 2. 3.

4. 5. 6.

7. 8. 9.

10. 11. 12.

13. 14. 15.

16. 17. 18.

19. 20. 21.

22. 23. 24.

25. 26. 27.

28. 29. 30.

31. 32. 33.

34. 35. 36.

37. 38. 39.

40. 41. 42.

Numerical Expressions and Order of Operations

Task CardsAnswer Sheet

Name ____________________________________________________ Date _________________

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1. 3 + (8 – 4) x 2 – 2 2. (5 x 4) + 6 3. (10 – 3) x 4

4. Line 1; Joe added 1 + 7 first

instead of multiplying 6 x 1

5. 58 6. A

7. ($15 x 2) – ($3 x 3) 8. [(3 x 4) + 2] - 3 9. 32

10. ½ (4 + 10) + 6 11. Line 3; she subtracted 5 - 1

when she should have added 18+5

12. C

13. 3 x (5 +4 ) - 3 14. Line 3; she subtracted

before she multiplied

15. (9 + 3) x 4 ÷ 3

16. 48 ÷ 6 17. B 18. 20

19. D 20. 22 21. D

22. Line 3; he subtracted 16-5

when really he should have done

25-16 first

23. [(4 ÷ 2) x (4 + 6)] - 8 24. 7 + [(½ x 10) – 3] or

[7 + (1/2 x 10)] - 3

25. C 26. [(1/2 x 20) ÷ 5] + 12 27. 11

28. (3 + 6) x (1/2 x 10) 29. B and E 30. Line 1; she added first

instead of multiplied

31. Line 3; he added before

he multiplied

32. 4 x [(10 ÷ 5) – 3] or

4 x (10 ÷ 5 – 3)

33. C

34. 26 35. (7 – 5) x (3 + 9) - 4 36. $275 ÷ ($15 + $10)

37. B, C, D 38. Line 2; he added before

he multiplied

39. (3 – 2) x (5 + 4) x 2 - 1

40. ½(2 + 6) or (2 + 6) ÷ 2 41. 28 42. B and D

Numerical Expressions and Order of Operations

Task CardsAnswer Sheet

Name ____________________________________________________ Date _________________

Answer Key

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Numerical Expressions and Order of Operations

Worksheet, A

Name ____________________________________________________ Date _________________

1. 3 + 8 – 4 x 2 – 2

Create an equivalent expression that includes a set of parentheses

so that the value of the expression is 9.

_________________________________

2. Joshua has 5 buckets, each filled with 4 shells. He finds 6 more shells on the beach.

Write an expression using numbers and symbols that could be used to

find out how many shells Joshua has after going to the beach.

_________________________________

3. An expression is described in words.

Subtract 3 from 10, then multiply by 4.

Create the expression using numbers and symbols.

_________________________________

4. Joe solved the expression below using the steps listed. Explain the mistake that was made.

2 x (6 x 1 + 7) + 11

Line 1: 2 x (6 x 8) + 11

Line 2: 2 x 48 + 11

Line 3: 96 + 11

Line 4:107

_______________________________________

_______________________________________

5. What is the value of the expression?

4 + [(2 + 4) x (7 + 2)]

____________________________________

6. An expression is shown.

15 + (9 – 4)

Which statement describes this expression?

A. The difference of 9 and 4, added to 15.

B. The sum of 15 and 9, minus 4.C. The difference of 4 and 9,

added to 15.D. The product of 9 and 4, added

to 15.

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Numerical Expressions and Order of Operations

Worksheet, A

Name ____________________________________________________ Date _________________

1. 3 + 8 – 4 x 2 – 2

Create an equivalent expression that includes a set of parentheses

so that the value of the expression is 9.

_________________________________

2. Joshua has 5 buckets, each filled with 4 shells. He finds 6 more shells on the beach.

Write an expression using numbers and symbols that could be used to

find out how many shells Joshua has after going to the beach.

_________________________________

3. An expression is described in words.

Subtract 3 from 10, then multiply by 4.

Create the expression using numbers and symbols.

_________________________________

4. Joe solved the expression below using the steps listed. Explain the mistake that was made.

2 x (6 x 1 + 7) + 11

Line 1: 2 x (6 x 8) + 11

Line 2: 2 x 48 + 11

Line 3: 96 + 11

Line 4:107

_______________________________________

_______________________________________

5. What is the value of the expression?

4 + [(2 + 4) x (7 + 2)]

____________________________________

6. An expression is shown.

15 + (9 – 4)

Which statement describes this expression?

A. The difference of 9 and 4, added to 15.

B. The sum of 15 and 9, minus 4.C. The difference of 4 and 9,

added to 15.D. The product of 9 and 4, added

to 15.

3 + (8 – 4) x 2 – 2 (5 x 4) + 6

(10 – 3) x 4

On line 1, because Joe added before he multiplied.

58

Answer Key

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Numerical Expressions and Order of Operations

Worksheet, B

Name ____________________________________________________ Date _________________

1. Tammy gets paid $15 an hour, for 2 hours of babysitting. She then uses her money to buy 3 CD’s for $3 each.

Write an expression using numbers and symbols that could be used to find how much money Tammy has

left.

_________________________________

2. 3 x 4 + 2 - 3

Create an equivalent expression that includes a set of

parentheses and brackets so that the value of the expression

is 11.

_________________________________

3. Evaluate the expression:

[(12 – 4) x 8] ÷ 2

_________________________________

4. An expression is described in words.

Half of the sum of 4 and 10, then add 6.

Create the expression using numbers and symbols.

_________________________________

5. Sarah solved the expression below. Explain the mistake that she made.

[(4 – 2) x (6 + 3)] + 5 -1

Line 1: [2 x 9] + 5 - 1

Line 2: 18 + 5 - 1

Line 3: 18 + 4

Line 4: 22

_______________________________________

_______________________________________

6. An expression is shown.

½(6 x 2) + 10

Which statement describes this expression?

A. The product of 6 and 2, plus 10.

B. The sum of 10 and half of the difference of 6 and 2.

C. Half of the product of 6 and 2, added to 10.

D. Half of 6 added to 10 times 2.

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Numerical Expressions and Order of Operations

Worksheet, B

Name ____________________________________________________ Date _________________

1. Tammy gets paid $15 an hour, for 2 hours of babysitting. She then uses her money to buy 3 CD’s for $3 each.

Write an expression using numbers and symbols that could be used to find how much money Tammy has

left.

_________________________________

2. 3 x 4 + 2 - 3

Create an equivalent expression that includes a set of

parentheses and brackets so that the value of the expression

is 11.

_________________________________

3. Evaluate the expression:

[(12 – 4) x 8] ÷ 2

_________________________________

4. An expression is described in words.

Half of the sum of 4 and 10, then add 6.

Create the expression using numbers and symbols.

_________________________________

5. Sarah solved the expression below. Explain the mistake that she made.

[(4 – 2) x (6 + 3)] + 5 -1

Line 1: [2 x 9] + 5 - 1

Line 2: 18 + 5 - 1

Line 3: 18 + 4

Line 4: 22

_______________________________________

_______________________________________

6. An expression is shown.

½(6 x 2) + 10

Which statement describes this expression?

A. The product of 6 and 2, plus 10.

B. The sum of 10 and half of the difference of 6 and 2.

C. Half of the product of 6 and 2, added to 10.

D. Half of 6 added to 10 times 2.

Answer Key

($15 x 2) – ($3 x 3) [(3 x 4) + 2] - 3

32 ½ (4 + 10) + 6

On line 3, because she subtracted 5 - 1 when she should have first added 18 + 5

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Numerical Expressions and Order of Operations

Worksheet, C

Name ____________________________________________________ Date _________________

1. An expression is described in words.

Triple the sum of 5 and 4, and then subtract 3.

Create the expression using numbers and symbols.

_________________________________

2. Pam solved the expression below. Explain the mistake that she made.

[(1/2 x 10) – (6 – 3)] x 3 - 1

Line 1: [5 – 2] x 3 - 1

Line 2: 3 x 3 - 1

Line 3: 3 x 2

Line 4: 6

_______________________________________

_______________________________________

5. 9 + 3 x 4 ÷ 3

Create an equivalent expression that includes at least one set of

parentheses so that the value of the expression is 16.

_________________________________

4. Jason has a party and invites 48 people. Each table at his party holds 6 people.

Write an expression that could be used to find the total number of tables Jason will need to seat all

of his guests.

_________________________________

3. Two expressions are shown.

A. 4 x (5 x 6)B. 5 x 6

Which statement is true about expressions A and B?

A. Expression B is 4 times the value of expression A.

B. Expression A is 4 times the value of expression B.

C. Expression A has the same value as expression B.

D. The value of expression B is greater than the value of expression A.

6. What is the value of the expression?

{[3 + (2 x 2)] – 1} + 14

_________________________________

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Numerical Expressions and Order of Operations

Worksheet, C

Name ____________________________________________________ Date _________________

1. An expression is described in words.

Triple the sum of 5 and 4, and then subtract 3.

Create the expression using numbers and symbols.

_________________________________

2. Pam solved the expression below. Explain the mistake that she made.

[(1/2 x 10) – (6 – 3)] x 3 - 1

Line 1: [5 – 2] x 3 - 1

Line 2: 3 x 3 - 1

Line 3: 3 x 2

Line 4: 6

_______________________________________

_______________________________________

5. 9 + 3 x 4 ÷ 3

Create an equivalent expression that includes at least one set of

parentheses so that the value of the expression is 16.

_________________________________

4. Jason has a party and invites 48 people. Each table at his party holds 6 people.

Write an expression that could be used to find the total number of tables Jason will need to seat all

of his guests.

_________________________________

3. Two expressions are shown.

A. 4 x (5 x 6)B. 5 x 6

Which statement is true about expressions A and B?

A. Expression B is 4 times the value of expression A.

B. Expression A is 4 times the value of expression B.

C. Expression A has the same value as expression B.

D. The value of expression B is greater than the value of expression A.

6. What is the value of the expression?

{[3 + (2 x 2)] – 1} + 14

_________________________________

Answer Key

(9 + 3) x 4 ÷ 3

3 x (5 +4 ) - 3

On line 3, because she subtracted before she multiplied

48 ÷ 6

20

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Numerical Expressions and Order of Operations

Worksheet, D

Name ____________________________________________________ Date _________________

1. An expression is shown.

(1/2 x 6) + (5 x 2) – 3

Which statement describes this expression?

A. Subtract three from ten, and then add to half of 6.

B. The product of five and two minus three, and then add half of 6.

C. Half of 6 added to ten, subtract 3.

D. Half of 6 added to the product of 5 and 2, then subtract 3.

2. Evaluate the expression:

10 + {[6 - (8 ÷ 4)] x 3}

_________________________________

3. A hotel costs $99 per night. Sam will receive a $10 per night discount for paying in advance. A rental car costs $55 per day plus taxes that cost $6 per day.

Which expression can Sam use to find out how much he will pay for

the hotel and rental car for 3 days.

A. [3 x (99 – 10)] + (55 + 6)B. 3 x (99 + 6) – (55 – 10)C. 3 x [(99 – 6) – (55 + 10)]D. 3 x [(99 – 10) + (55 + 6)]

4. Kevin solved the expression below. Explain the mistake that was made.

25 – [(1/2 x 8) + (2 x 6) – 5]

Line 1: 25 - [4 + 12] - 5

Line 2: 25 – 16 - 5

Line 3: 25 - 11

Line 4: 14_______________________________________

_______________________________________

5. An expression is described in words.

The quotient of 4 divided by two, multiplied by the sum of 4 and 6,

then subtract 8.

Create the expression using numbers and symbols.

_________________________________

6. 7 + ½ x 10 – 3

Create an equivalent expression that includes parentheses and

brackets, so that the value of the expression is 9.

_________________________________

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Numerical Expressions and Order of Operations

Worksheet, D

Name ____________________________________________________ Date _________________

1. An expression is shown.

(1/2 x 6) + (5 x 2) – 3

Which statement describes this expression?

A. Subtract three from ten, and then add to half of 6.

B. The product of five and two minus three, and then add half of 6.

C. Half of 6 added to ten, subtract 3.

D. Half of 6 added to the product of 5 and 2, then subtract 3.

2. Evaluate the expression:

10 + {[6 - (8 ÷ 4)] x 3}

_________________________________

3. A hotel costs $99 per night. Sam will receive a $10 per night discount for paying in advance. A rental car costs $55 per day plus taxes that cost $6 per day.

Which expression can Sam use to find out how much he will pay for

the hotel and rental car for 3 days.

A. [3 x (99 – 10)] + (55 + 6)B. 3 x (99 + 6) – (55 – 10)C. 3 x [(99 – 6) – (55 + 10)]D. 3 x [(99 – 10) + (55 + 6)]

4. Kevin solved the expression below. Explain the mistake that was made.

25 – [(1/2 x 8) + (2 x 6) – 5]

Line 1: 25 - [4 + 12] - 5

Line 2: 25 – 16 - 5

Line 3: 25 - 11

Line 4: 14_______________________________________

_______________________________________

5. An expression is described in words.

The quotient of 4 divided by two, multiplied by the sum of 4 and 6,

then subtract 8.

Create the expression using numbers and symbols.

_________________________________

6. 7 + ½ x 10 – 3

Create an equivalent expression that includes parentheses and

brackets, so that the value of the expression is 9.

_________________________________

Answer Key

22

On line 3, because he subtracted 16-5 when really he should have done 25-16 first.

[(4 ÷ 2) x (4 + 6)] - 8

7 + [(½ x 10) – 3] or

[7 + (1/2 x 10)] - 3

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Numerical Expressions and Order of Operations

Worksheet, E

Name ____________________________________________________ Date _________________

1. Two expressions are shown.

A. (3 x 4) ÷ 2B. ½ x (4 x 3)

Which statement is true about expressions A and B?

A. Expression B is half the value of Expression A.

B. Expression A is half the value of Expression B.

C. Expression A has the same value as expression B.

D. The value of expression A is greater than the value of expression B.

2. ½ x 20 ÷ 5 + 12

Create an equivalent expression that includes at

least one set of parentheses and brackets, so that the value

of the expression is 14.

_________________________________

3. What is the value of the expression?

{[7 + (6 - 2)] x 6} ÷ 6

_________________________________

4. An expression is described in words.

The sum of 3 and 6, multiplied by half of 10.

Create the expression using numbers and symbols.

_________________________________

5. Pizza Palace sells large pizzas for $8, and small pizzas for half the price of a large pizza. Each additional topping costs $2. Michael is buying 1 large pizza with three additional toppings, and a small pizza with no additional toppings.

Which two expressions could be used to find the amount of change Michael will receive if he pays with a $20 bill?

A. 20 – 8 + 2 x 3 + 8 ÷ 2B. 20 – {[8 + (2 x 3)] + ½ x 8}C. 20 – (8 + 8) ÷ 2 + (2 x 3)D. 20 – 8 + (8 ÷ 2) + (2 x 3)E. 20 – [8 + (2 x 3) + (8 ÷ 2)]

6. Angela solved the expression below. Explain the mistake that was made.

42 ÷ 7 x (4 + 7 x 2)

Line 1: 42 ÷ 7 x (11 x 2)

Line 2: 42 ÷ 7 x 22

Line 3: 6 x 22

Line 4: 132

____________________________________

____________________________________

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Numerical Expressions and Order of Operations

Worksheet, E

Name ____________________________________________________ Date _________________

1. Two expressions are shown.

A. (3 x 4) ÷ 2B. ½ x (4 x 3)

Which statement is true about expressions A and B?

A. Expression B is half the value of Expression A.

B. Expression A is half the value of Expression B.

C. Expression A has the same value as expression B.

D. The value of expression A is greater than the value of expression B.

2. ½ x 20 ÷ 5 + 12

Create an equivalent expression that includes at

least one set of parentheses and brackets, so that the value

of the expression is 14.

_________________________________

3. What is the value of the expression?

{[7 + (6 - 2)] x 6} ÷ 6

_________________________________

4. An expression is described in words.

The sum of 3 and 6, multiplied by half of 10.

Create the expression using numbers and symbols.

_________________________________

5. Pizza Palace sells large pizzas for $8, and small pizzas for half the price of a large pizza. Each additional topping costs $2. Michael is buying 1 large pizza with three additional toppings, and a small pizza with no additional toppings.

Which two expressions could be used to find the amount of change Michael will receive if he pays with a $20 bill?

A. 20 – 8 + 2 x 3 + 8 ÷ 2B. 20 – {[8 + (2 x 3)] + ½ x 8}C. 20 – (8 + 8) ÷ 2 + (2 x 3)D. 20 – 8 + (8 ÷ 2) + (2 x 3)E. 20 – [8 + (2 x 3) + (8 ÷ 2)]

6. Angela solved the expression below. Explain the mistake that was made.

42 + 7 x (4 + 7 x 2)

Line 1: 42 + 7 x (11 x 2)

Line 2: 42 + 7 x 22

Line 3: 49 x 22

Line 4: 1,078

____________________________________

____________________________________

Answer Key

[(1/2 x 20) ÷ 5] + 12

11 (3 + 6) x (1/2 x 10)

On line 3, because she added first instead of multiplied.

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Numerical Expressions and Order of Operations

Worksheet, F

Name ____________________________________________________ Date _________________

1. Daryl solved the expression below. Explain the mistake that was made.

45 + 5 x (3 + 5 x 2)

Line 1: 45 + 5 x (3 + 10)

Line 2: 45 + 5 x 13

Line 3: 50 x 13

Line 4: 650

____________________________________

____________________________________

2. An expression is described in words.

The quotient of 10 divided by 5, minus 3; multiplied by 4.

Create the expression using numbers and symbols.

_________________________________

3. An expression is shown.

(5 + 6) x (10 ÷ 5)

Which statement describes this expression?

A. The sum of 5 and 6, multiplied by the quotient of 5 divided by 10.

B. The product of 10 and 5, multiplied by the sum of 5 and 6.

C. The sum of 5 and 6, multiplied by the quotient of 10 divided by 5.

D. The difference of 5 and 6, multiplied by the quotient of 10 divided by 5.

4. Evaluate the expression:

24 – (1/2 x 8) + (12 ÷ 6)

_________________________________

5. 7 – 5 x 3 + 9 - 4

Create an equivalent expression that includes at least one set of

parentheses, so that the value of the expression is 20.

_________________________________

6. Jim and Pam are saving money to buy a new patio set for their backyard that costs $275. Each week, Pam saves $15 of her paycheck, and Jim saves $10 of his paycheck to put towards the new patio set.

Write an expression that could be used to find out how many

weeks it will take for Pam and Jim to save enough money to

buy their patio set.

_________________________________

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Numerical Expressions and Order of Operations

Worksheet, F

Name ____________________________________________________ Date _________________

1. Daryl solved the expression below. Explain the mistake that was made.

45 + 5 x (3 + 5 x 2)

Line 1: 45 + 5 x (3 + 10)

Line 2: 45 + 5 x 13

Line 3: 50 x 13

Line 4: 650

____________________________________

____________________________________

2. An expression is described in words.

The quotient of 10 divided by 5, minus 3; multiplied by 4.

Create the expression using numbers and symbols.

_________________________________

3. An expression is shown.

(5 + 6) x (10 ÷ 5)

Which statement describes this expression?

A. The sum of 5 and 6, multiplied by the quotient of 5 divided by 10.

B. The product of 10 and 5, multiplied by the sum of 5 and 6.

C. The sum of 5 and 6, multiplied by the quotient of 10 divided by 5.

D. The difference of 5 and 6, multiplied by the quotient of 10 divided by 5.

4. Evaluate the expression:

24 – (1/2 x 8) + (12 ÷ 6)

_________________________________

5. 7 – 5 x 3 + 9 - 4

Create an equivalent expression that includes at least one set of

parentheses, so that the value of the expression is 20.

_________________________________

6. Jim and Pam are saving money to buy a new patio set for their backyard that costs $275. Each week, Pam saves $15 of her paycheck, and Jim saves $10 of his paycheck to put towards the new patio set.

Write an expression that could be used to find out how many

weeks it will take for Pam and Jim to save enough money to

buy their patio set.

_________________________________

Answer Key

On line 3, because he added before he multiplied

4 x [(10 ÷ 5) – 3] or

4 x (10 ÷ 5 – 3)

26

(7 – 5) x (3 + 9) - 4 $275 ÷ ($15 + $10)

Page 26: Order of Operations Task Cards · Task Cards Contents • Teacher Directions, page 3 • Task Card Cover page, page 4 • 42 Task Cards, pages 5-11 • Task Cards Answer Sheet, page

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Numerical Expressions and Order of Operations

Worksheet, G

Name ____________________________________________________ Date _________________

1. Dwight displays his bobble-head figurines in his bedroom. He has 6 figurines on each of the 4 shelves in his room. He also has an additional 3 figurines in a display case.

Which expressions could be used to find the total number of

bobble-head figurines Dwight owns?

A. (6 x 4) – 3B. (6 x 4) + 3C. 3 + 6 x 4D. 3 + (4 x 6)E. (4 x 3) + 6

2. Rick solved the expression below. Which line does a mistake first appear?

3 x (7 – 6) + 5

Line 1: 3 x 1 + 5

Line 2: 3 x 6

Line 3: 18

___________________________________

___________________________________

3. 3 – 2 x 5 + 4 x 2 - 1

Create an equivalent expression that includes at least one set of

parentheses, so that the value of the expression is 17.

_________________________________

4. An expression is described in words.

Half of the sum of 2 and 6.

Create the expression using numbers and symbols.

_________________________________

5. What is the value of the expression?

14 + {[10 - (12 ÷ 4)] x 2}

_________________________________

6. Two expressions are shown.

A. (12 - 4) ÷ 2 x 1B. 12 – 4 x 1

Which statements are true about expressions A and B?

A. Expression B is half the value of Expression A.

B. Expression A is half the value of Expression B.

C. Expression A has the same value as expression B.

D. The value of expression A is less than the value of expression B.

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Numerical Expressions and Order of Operations

Worksheet, G

Name ____________________________________________________ Date _________________

1. Dwight displays his bobble-head figurines in his bedroom. He has 6 figurines on each of the 4 shelves in his room. He also has an additional 3 figurines in a display case.

Which expressions could be used to find the total number of

bobble-head figurines Dwight owns?

A. (6 x 4) – 3B. (6 x 4) + 3C. 3 + 6 x 4D. 3 + (4 x 6)E. (4 x 3) + 6

2. Rick solved the expression below. Which line does a mistake first appear?

3 x (7 – 6) + 5

Line 1: 3 x 1 + 5

Line 2: 3 x 6

Line 3: 18

___________________________________

___________________________________

3. 3 – 2 x 5 + 4 x 2 - 1

Create an equivalent expression that includes at least one set of

parentheses, so that the value of the expression is 17.

_________________________________

4. An expression is described in words.

Half of the sum of 2 and 6.

Create the expression using numbers and symbols.

_________________________________

5. What is the value of the expression?

14 + {[10 - (12 ÷ 4)] x 2}

_________________________________

6. Two expressions are shown.

A. (12 - 4) ÷ 2 x 1B. 12 – 4 x 1

Which statements are true about expressions A and B?

A. Expression B is half the value of Expression A.

B. Expression A is half the value of Expression B.

C. Expression A has the same value as expression B.

D. The value of expression A is less than the value of expression B.

Answer Key

Line 2, because he added first instead of multiplied

(3 – 2) x (5 + 4) x 2 - 1

½(2 + 6) or (2 + 6) ÷ 2

28

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