Name
Lesson 4.2
Write and Evaluate Expressions
Tell what you do first. Then find the value of each expression.
1. 12 ⫺ (4 ⫹ 3)
2. 5 ⫹ (15 ⫺ 3)
3. (17 ⫺ 3) ⫹ 5
4. 5 ⫹ (18 ⫺ 2)
5. (18 ⫹ 22) ⫺ 15
6. (31 ⫺ 16) ⫺ 8
7. 9 ⫹ (25 ⫺ 9)
8. (31 ⫹ 5) ⫺ 21
Place the parentheses so the expression has a value of 7.
9. 12 ⫺ 10 ⫹ 5
13. 10 ⫹ 6 ⫺ 9
10. 5 ⫹ 9 ⫺ 7
11. 16 ⫺ 10 ⫹ 1
12. 40 ⫺ 36 ⫹ 3
14. 4 ⫹ 4 ⫺ 1
15. 12 ⫺ 6 ⫹ 1
16. 13 ⫺ 9 ⫹ 3
Problem Solving and Test Prep
17. Will buys 17 toy racing cars. He gives 18. There are 12 fish in the class tank. Asa
7 to Paul and 6 to Bill. How many
and Troy each took 3. Mrs. Hampton
then buys 9 more fish to put in the
tank. How many fish are in the tank
now?
cars does Will have left? Write the
expression and solve.
19. What is the value of the following
20. What is the value of the following
expression?
(17 ⫺ 12) ⫹ 4
expression?
4 ⫹ (15 ⫺ 9)
A 1
A 10
2
C 9
D 11
B
B
5
C 2
D 6
PW18
Practice
Name
Lesson 4.1
Addition Properties
Find the missing number. Tell which property you used.
1.
䊏 0 0 23
23, identity
4.
䊏 7 7 36
36, commutative
2. 15 5 䊏 15
5, commutative
5.
Lesson 4.2
䊏 45 45 0
0, identity
Tell what you do first. Then find the value of each expression.
3. 12 (2 7) (䊏 2) 7
12, associative
6. (22 䊏) 11 22 (44 11)
44, associative
Change the order or group the addends so that you can add mentally.
Find the sum. Tell which property you used.
Possible answers
7. 120 37 280
8. 25 25 30
are shown
(25 25) 30 80;
(120 280) 37 437;
commutative and associative commutative and associative
9. 60 82 40
10. 28 21 32 19
(60 40) 82 182;
(28 32) (21 19) 100;
commutative and associative commutative and associative
11. 66 27 44
12. 133 25 247
13. 45 22 25
14. 61 57 39 23
(66 44) 27 137;
(133 247) 25 405;
commutative and associative commutative and associative
(45 25) 22 92;
(61 39) (57 23) 180;
commutative and associative commutative and associative
5. (18 22) 15
3. (17 3) 5
6. (31 16) 8
25
16. Sam buys another 15 Shooter stripes.
How many marbles are in Sam’s
collection now?
205 marbles
81
Speckled Spots
18
Shooter Stripes
59
18. Which shows the Commutative
A
Property of addition?
A 11 9 10 10
B
12 1 13
29 29 28
D 112
B
C
C
8. (31 5) 21
25
7
15
9. 12 10 5
10. 5 9 7
11. 16 10 1
12. 40 36 3
(12 – 10) + 5
5 + (9 – 7) or
(16 – 10) + 1 (40 – 36) + 3
(5 + 9) – 7
13. 10 6 9
14. 4 4 1
(10 + 6) – 9
15. 12 6 1
(4 + 4) – 1 or
4 + (4 – 1)
16. 13 9 3
(12 – 6) + 1
(13 – 9) + 3
Problem Solving and Test Prep
17. Will buys 17 toy racing cars. He gives 18. There are 12 fish in the class tank. Asa
and Troy each took 3. Mrs. Hampton
then buys 9 more fish to put in the
tank. How many fish are in the tank
now?
15 fish
17 – (7 + 6); 4
32
Cat’s Eyes
A 16 0 16
21
7. 9 (25 9)
Place the parentheses so the expression has a value of 7.
Number
Blue Chinese Checkers
4. 5 (18 2)
19
17
Sam’s Marble Collection
Type
190 marbles
D
070
20 20 40
D 5775
Circled problems are suggested homework problems.
PW17
19. What is the value of the following
20. What is the value of the following
expression?
(17 12) 4
A 1
B 2
C 9
D 11
expression?
C
4 (15 9)
A 10
B 5
C 2
D 6
A
Circled problems are suggested homework problems.
PW18
Practice
Lesson 4.1
Practice
Lesson 4.2
Items
Suggested rationale
Items
2
Use the commutative property
2
Practice operating using
parentheses
5
Use the identity property
7
Practice operating using
parentheses
6
Use the associative property
10
Practice operating using
parentheses
9
Use the commutative and
associative properties
12
Practice operating using
parentheses
14
Use the commutative and
associative properties
13
Practice writing and
evaluating an expression
15
Use the associative property
18
Practice writing and
evaluating an expression
16
Use the commutative and
associative properties
17
Multiple choice; Identify
Property of Addition
PW17-PW18
MXECA08AWK4X_PHTE_Rat.indd
PW17-PW18
Suggested rationale
© Harcourt
© Harcourt
2. 5 (15 3)
5
cars does Will have left? Write the
expression and solve.
USE DATA For 15–16, use the table.
15. Use the Associative Property to find
the total number in Sam’s collection.
17. Which shows the Identity Property of
1. 12 (4 3)
7 to Paul and 6 to Bill. How many
Problem Solving and Test Prep
addition?
Name
Write and Evaluate Expressions
Practice
10/30/07
9:09:25 AM