5 + (8-2) =
Common
Core Aligned
Algebra
(Order of Operations and
Writing Simple Expressions)
Assessment Pack
[23 + (3x6)] x 2 =
(12-7) x3 =
Created by:
Missy O’Bryan
www.wildaboutfifthgrade.blogspot.com
This Common Core Aligned Algebra
(order of operations and writing simple
expressions) Assessment Pack includes
formative and summative assessments for
the following CCSS standards:
4.OA..2
4.OA.3
5.OA.1
5.OA.2
6.EE.1
6.EE.2
6.EE.6
6.EE.7
Included in Pack:
• Three formative assessment quizzes
• Ten exit slip formative assessments
• Nine vocabulary word wall cards
• One review/study guide
• One summative assessment – test
• Answer keys
© 2012 www.wildaboutfifthgrade.blogspot.com
Name:__________________________________
Formative Assessment #1 - Order of Operations and
Writing Simple Expressions
1. Rate your understanding of the order of operations.
0 I’ve never heard of the order of operations.
1
2
3
4
I think I can solve expressions using the order of operations.
I can solve expressions with help using the order of operations.
I can solve expressions by myself using the order of operations.
I can teach someone else how to solve expressions using the
order of operations.
2. Rate your understanding of writing simple expressions.
0 I’m not sure how to write a simple expression.
1
2
3
4
I think I can write a simple expression.
I can write simple expressions with help.
I can write simple expressions by myself.
I can teach someone else how to write simple expressions.
3. What is the order of operations? Explain with words,
pictures and/or examples.
4. What is a simple expression? Explain with words, pictures
and examples.
© 2012 www.wildaboutfifthgrade.blogspot.com
Name:______ANSWER KEY________________________
Formative Assessment #1 - Order of Operations and
Writing Simple Expressions
1. Rate your understanding of the order of operations.
0 I’ve never heard of the order of operations.
1
2
3
4
I think I can use the order of operations.
I can use the order of operations with help.
I can use the order of operations by myself.
I can teach someone else how to use the order of operations.
2. Rate your understanding of writing simple expressions.
0 I’m not sure how to write a simple expression.
1
2
3
4
I think I can write a simple expression.
I can write simple expressions with help.
I can write simple expressions by myself.
I can teach someone else how to write simple expressions.
3. What is the order of operations? Explain with words,
pictures and/or examples. Mathematicians developed an order of
operations rule so that people don’t get different answers when solving
expressions. The order of operations rule is this – first parentheses, brackets,
and braces, second exponents, third multiplication and division from left to
right, and fourth addition and subtraction from left to right (PEMDAS).
Pictures and examples will vary.
4. What is a simple expression? Explain with words, pictures
and examples. A simple expression is a number sentence
with one variable. For example, 92 – a or a X 2 + 5
© 2012 www.wildaboutfifthgrade.blogspot.com
Name:__________________________________
Formative Assessment #2 – Order of Operations
and Writing Simple Expressions
1. Use the order of operations to solve 5 + (7 X 3)
2. Explain with words, pictures and/or examples how
you solved 5 + (7 X 3).
3. Use the order of operations to solve (24 ÷ 4) + 2 X 3.
4. Explain with words, pictures and/or examples how
you solved (24 ÷ 4) + 2 X 3.
© 2012 www.wildaboutfifthgrade.blogspot.com
Name:______ANSWER KEY________________
Formative Assessment #2 – Order of Operations
and Writing Simple Expressions
1. Use the order of operations to solve 5 + (7 X 3)
26
2. Explain with words, pictures and/or examples how
you solved 5 + (7 X 3).
First you solve the 7 X 3 because it’s in parentheses.
The answer is 21. Then you add the 5 + 21 because
you do addition after parentheses. The answer is 26.
3. Use the order of operations to solve (24 ÷ 4) + 2 X 3.
12
4. Explain with words, pictures and/or examples how
you solved (24 ÷ 4) + 2 X 3.
First you solve the 24 ÷ 4 because it’s in parentheses.
The answer is 6. Second you multiply the 2 X 3
because you do multiplication before addition. The
answer is 6. Last you add the 6 + 6 and the answer is
12.
© 2012 www.wildaboutfifthgrade.blogspot.com
Name:__________________________________
Formative Assessment #3 – Order of Operations
and Writing Simple Expressions
1. Write an expression for 543 reduced by 12.
2. Write an expression for 28 more than 112.
3. Write an expression for twelve boxes of twenty-four.
4. Write an expression for 16 candy bars shared
equally among 4 friends
© 2012 www.wildaboutfifthgrade.blogspot.com
Name:____ANSWER KEY__________________
Formative Assessment #3 – Order of Operations
and Writing Simple Expressions
1. Write an expression for 543 reduced by 12.
543-12
2. Write an expression for 28 more than 112.
112 + 28
3. Write an expression for twelve boxes of twenty-four.
12 X 24
4. Write an expression for 16 candy bars shared
equally among 4 friends
16 ÷ 4
© 2012 www.wildaboutfifthgrade.blogspot.com
Name:_________________________________
Exit Slip
1.
Which part of the expression would you solve first?
(15 ÷ 3) x 2
2. Which part of the expression would you solve first?
4+6x2
Name:_________________________________
Exit Slip
1.
Which part of the expression would you solve first?
10 x 3 – 15 + 2
2. Which part of the expression would you solve first?
20 ÷ (3 +2) x 4
© 2012 www.wildaboutfifthgrade.blogspot.com
Name:____ANSWER KEY____________________
Exit Slip
1.
Which part of the expression would you solve first?
(15 ÷ 3) x 2
First you would solve the 15 ÷ 3 because it’s in parentheses.
2. Which part of the expression would you solve first?
4+6x2
First you would solve the 6 x 2 because you solve
multiplication before addition.
Name:________ANSWER KEY_______________
Exit Slip
1.
Which part of the expression would you solve first?
10 x 3 – 15 + 2
First you solve 10 x 3 because you solve multiplication
before addition and subtraction.
2. Which part of the expression would you solve first?
20 ÷ (3 +2) x 4
First you solve 3 + 2 because it’s in parentheses.
© 2012 www.wildaboutfifthgrade.blogspot.com
Name:_________________________________
Exit Slip
1.
Which part of the expression would you solve first
and second?
[2 + (3 x 3)] x 5
2. Which part of the expression would you solve first
and second?
20 ÷ {(3 + 5)÷ 2}
Name:_________________________________
Exit Slip
1.
What does 4³ equal?
2. What does 2 x 2 x 2 equal?
3. What is 5²?
4. What is 3 x 3 x 3 x 3?
© 2012 www.wildaboutfifthgrade.blogspot.com
Name:________ANSWER KEY__________________
Exit Slip
1.
Which part of the expression would you solve first
and second?
[2 + (3 x 3)] x 5
First, you would solve 3 x 3 = 9 because it’s in parentheses. Second, you
would solve the 2 + 9 because it’s in brackets.
2. Which part of the expression would you solve first
and second?
20 ÷ {(3 + 5)÷ 2}
First, you would solve 3 + 5 = 8 because it’s in parentheses. Second, you
would solve the 8 ÷ 2 because it’s in braces.
Name:____ANSWER KEY____________________
Exit Slip
1.
What does 4³ equal?
64
2. What does 2 x 2 x 2 equal?
3. What is 5²?
8
25
4. What is 3 x 3 x 3 x 3?
81
© 2012 www.wildaboutfifthgrade.blogspot.com
Name:_________________________________
Exit Slip
1.
Which part of the expression would you solve first
and second?
6² ÷ 2 x 3
2. Which part of the expression would you solve first
and second?
48 ÷ (4 x 6) + 2³
Name:_________________________________
Exit Slip
1.
Evaluate the expression 8 ÷ 2 + 4 x 4
2. Evaluate the expression 25 – (10 - 5) + 2³
3. Evaluate the expression 5 x [3 + (10 – 2)]
© 2012 www.wildaboutfifthgrade.blogspot.com
Name:________ANSWER KEY ________________
Exit Slip
1.
Which part of the expression would you solve first
and second?
6² ÷ 2 x 3
First you would solve the 6² = 36 because exponents are solved
before multiplication and division. Second you would solve 36 ÷ 2
because you solve multiplication and division from left to right.
2. Which part of the expression would you solve first
and second?
48 ÷ (4 x 6) + 2³
First you would solve 4 x 6 because it’s in parentheses and you
always solve parentheses first. Second you would solve 2³ because
you solve exponents after parentheses.
Name:_________________________________
Exit Slip
1.
Evaluate the expression 8 ÷ 2 + 4 x 4
20
2. Evaluate the expression 25 – (10 - 5) + 2³
28
3. Evaluate the expression 5 x [3 + (10 – 2)]
55
© 2012 www.wildaboutfifthgrade.blogspot.com
Name:_________________________________
Exit Slip
1.
Write an expression for a decreased by 36.
2. Write an expression for b reduced by 18.
3. Write an expression for 150 more than y.
4. Write an expression for c fewer than 112.
Name:_________________________________
Exit Slip
1.
Write an expression for 145 less t.
2. Write an expression for 10 of m.
3. Write an expression for 3 times more than y.
4. Write an expression for 20 shared among s.
© 2012 www.wildaboutfifthgrade.blogspot.com
Name:_______ANSWER KEY___________________
Exit Slip
1.
Write an expression for a decreased by 36. a - 36
2. Write an expression for b reduced by 18. b - 18
3. Write an expression for 150 more than y. Y + 150
4. Write an expression for c fewer than 112. 112 - c
Name:______ANSWER KEY__________________
Exit Slip
1.
Write an expression for 145 less t.
2. Write an expression for 10 of m.
145-t
10 x m or 10(m)
3. Write an expression for 3 times more than y. 3 x y
or 3y
4. Write an expression for 20 shared among s. 20 ÷ s
© 2012 www.wildaboutfifthgrade.blogspot.com
Name:_________________________________
Exit Slip
1.
On the first day of school, all the students were
divided into 6 teams. There were 5 students in each
team. Write and solve the equation for the total
number of students.
2. Joseph picked some strawberries and divided them
evenly into 8 bags. Each bag had 4 strawberries.
Write and solve the equation for how many
strawberries Joseph picked.
Name:_________________________________
Exit Slip
1.
Crissy bought a bag of candy. She ate 6 pieces and
had 31 left. Write and solve the equation for how
many pieces of candy were in the bag.
2. Austin walks 2 laps every day. Write an equation that
when solved, will tell how many days it will take
Austin to walk 28 laps.
Name:_______ANSWER KEY__________________
Exit Slip
1.
On the first day of school, all the students were
divided into 6 teams. There were 5 students in each
team. Write and solve the equation for the total
number of students.
S÷6=5
2. Joseph picked 32 strawberries and divided them
evenly into some bags. Each bag had 4 strawberries.
Write and solve the equation for how many
strawberries Joseph picked. 32 ÷ b = 4
Name:_________________________________
Exit Slip
1.
Crissy bought a bag of candy. She ate 6 pieces and
had 31 left. Write and solve the equation for how
many pieces of candy were in the bag. c – 6 = 31
2. Austin walks 2 laps every day. Write an equation that
when solved, will tell how many days it will take
Austin to walk 28 laps.
2 x l = 28
Name:____________________________________
ORDER OF OPERATIONS AND
SIMPLE EXPRESSIONS STUDY GUIDE
Directions: To study for the order of operations and simple
expressions test, make sure you can do the following skills.
1. Explain the order of operations.
Example study question: Use words, numbers, pictures
and/or examples to explain the order of operations.
2. Know the order for parentheses, brackets, and braces.
Example study questions: Evaluate the expressions –
5 x [2 + (15-5)], and {(10 x 2) 5} ÷ 2.
3. Solve exponents. Know that 2³ = 2 x 2 x 2 = 8
Example study questions: Evaluate the expressions –
4 ² x 10 – 80, and 9 + 3 x 2 ³
4. Evaluate the expressions –
48 ÷ (2 x 4) x 3
28 – 3² x 2
{5 + (12 x 3)} – 9
© 2012 www.wildaboutfifthgrade.blogspot.com
5. Write simple expressions. Example study questions:
Write expressions for:
t less than 25
48 more than z
103 reduced by a
16 of b
98 shared between m
6. Chris and Breanna collect Pokemon cards. Chris had 17
cards. When Breanna and Chris put their cards together,
they had 42 cards. Write an equation, that when
solved, will show how many Pokemon cards Breanna
had.
7. Devon found a bunch of seashells on the beach. When
he separated them into 8 bowls, each bowl had 5 shells.
Write an equation, that when solved, will show how
many seashells Devon found.
8. Sydney ordered some Squinkies online. The Squinkies
came in 4 identical boxes. Sydney got 48 Squinkies.
Write an equation, that when solved, will tell how many
Squinkies were in each box.
© 2012 www.wildaboutfifthgrade.blogspot.com
Name:_______________________________________________
Summative Assessment
Order of Operations and Writing Simple Expressions
1.
Explain the order of operations. Use words, numbers, pictures
and/or examples.
2.
Which of the following equals 5³
A. 5 x 3 = 15
B. 5 x 5 = 25
C. 5 x 5 x 5 = 125
D. 5³ = 53
3.
Evaluate the expression 36 ÷ 4 x 3
A. 9
B. 3
C. 27
D. 12
4.
Evaluate the expression 2 + 5 x 10
A. 70
B. 52
C. 100
D. 17
5.
Evaluate the expression 28 – (4 x 4) ÷ 2
A. 20
B. 6
C. 48
D. 24
© 2012 www.wildaboutfifthgrade.blogspot.com
6.
Evaluate the expression 3³ + 2 - (25 – 5)
A. -9
B. 31
C. 45
D. 9
7.
Evaluate the expression 4 + [2 x (6 - 1)]
A. 15
B. 14
C. 35
D. 11
8.
Write an expression for: a reduced by 12
A. a - 12
B. 12 - a
C. 12a
D. 12 ÷ a
9.
Write an expression for: 65 fewer than b
A. b - 65
B. 65 - b
C. 65 ÷ b
D. b ÷ 65
10.
Write an expression for : c greater than 19
A. c x 19
B. 19 x c
C. c + 19
D. 19 + c
© 2012 www.wildaboutfifthgrade.blogspot.com
11.
Molly receives stickers after each dance class. After one year she
had 48 stickers. After two years she had 92. Write an equation,
that when solved, will show how many stickers Molly received the
second year.
12.
A cub scout leader opened a bag of beef jerky and divided it
equally between 3 cub scouts. Each cub scout got 9 pieces. Write
an equation, that when solved, will show many pieces of beef
jerky were in the bag.
© 2012 www.wildaboutfifthgrade.blogspot.com
Name:___________ANSWER KEY___________________________
Summative Assessment
Order of Operations and Writing Simple Expressions
1. Explain the order of operations. Use words, numbers, pictures
and/or examples.
Mathematicians developed an order of operations rule so that
people don’t get different answers when solving expressions. The
order of operations rule is this – first parentheses, brackets, and
braces, second exponents, third multiplication and division from left
to right, and fourth addition and subtraction from left to right
(PEMDAS). Pictures and examples will vary.
2. Which of the following equals 5³
A. 5 x 3 = 15
B. 5 x 5 = 25
C. 5 x 5 x 5 = 125
D. 5³ = 53
3. Evaluate the expression 36 ÷ 4 x 3
A. 9
B. 3
C. 27
D. 12
4. Evaluate the expression 2 + 5 x 10
A. 70
B. 52
C. 100
D. 17
5. Evaluate the expression 28 – (4 x 4) ÷ 2
A. 20
B. 6
C. 48
D. 24 © 2012 www.wildaboutfifthgrade.blogspot.com
6.
Evaluate the expression 3³ + 2 - (25 – 5)
A. -9
B. 31
C. 45
D. 9
7.
Evaluate the expression 4 + [2 x (6 - 1)]
A. 15
B. 14
C. 35
D. 11
8.
Write an expression for: a reduced by 12
A. a - 12
B. 12 - a
C. 12a
D. 12 ÷ a
9.
Write an expression for: 65 fewer than b
A. b - 65
B. 65 - b
C. 65 ÷ b
D. b ÷ 65
10.
Write an expression for : c greater than 19
A. c x 19
B. 19 x c
C. c + 19
D. 19 + c
© 2012 www.wildaboutfifthgrade.blogspot.com
11.
Molly receives stickers after each dance class. After one year she
had 48 stickers. After two years she had 92. Write an equation,
that when solved, will show how many stickers Molly received the
second year.
48 + s = 92
12.
A cub scout leader opened a bag of beef jerky and divided it
equally between 3 cub scouts. Each cub scout got 9 pieces. Write
an equation, that when solved, will show many pieces of beef
jerky were in the bag.
J÷3=9
© 2012 www.wildaboutfifthgrade.blogspot.com
Expression
Equation
Order of
Operations
© 2012 www.wildaboutfifthgrade.blogspot.com
Variable
Evaluate
Parentheses
© 2012 www.wildaboutfifthgrade.blogspot.com
Brackets
Braces
Exponents
© 2012 www.wildaboutfifthgrade.blogspot.com
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