Name
Lesson 3.2
Write and Evaluate Expressions
Find the value of each expression.
1. 12 ⫺ (4 ⫹ 3)
2. 5 ⫹ (15 ⫺ 3)
5. (18 ⫹ 22)⫺15
6. (31 ⫺ 16) ⫺ 8
3. 17 ⫺ 䊏 if 䊏 ⫽ 8
4. 5 ⫹ (m ⫺ 2) if m ⫽12
7. 䊏 ⫹ 25 if 䊏 = 9 8. b ⫺ (31 ⫹ 5) if b ⫽ 52
Write an expression with a variable. Tell what the variable represents.
9. Sally gave away 5 apples.
10. Ali had 9 fish and bought some more.
11. Theresa put $15 in her bank account.
12. Glenn gave away some of his 20 pins.
Write an expression to match the words.
14. Todd caught 12 crickets. He then
13. Bob has some stamps. He gave Sam
5 stamps.
caught some more.
Problem Solving and Test Prep
15. Sean gave away 20 hats. He gave
16. What is the value of the expression
15 ⫺ (c ⫹ 3) if c ⫽ 5?
some hats to his brother. Write an
expression to show how many hats
Sean gave to his brother.
17. Edie ran 2 miles more than Joan.
18. There are 6 kittens in a closet. The
mother cat removes 3 kittens. Write an
expression that shows the number of
kittens left in the closet. How many
kittens are left in the closet?
Which expression shows how far
Joan ran?
A e⫹2
C
e⫹3
2⫹e
D
e⫺2
B
PW15
Practice
© Harcourt • Grade 4
Name
Lesson 3.2
2. 5 (15 3)
5
5. (18 22)15
3. 17 if 8
4. 5 (m 2) if m 12
9
17
6. (31 16) 8
15
34
. Possible
red, a, and 8 are blue.
15
9. Sally gave away 5 apples.
3. 19 4 n
n 15
10. Ali had 9 fish and bought some more.
a number of apples
Sally had; a 5
f number of fish Ali
bought; 9 f
11. Theresa put $15 in her bank account.
m former amount of
money in Theresa’s
bank account; m $15
a
some more money, a. Now she has $17.
8
$12
a
$17
4. 6 19
13
Write words to match the equation.
5. r 12 21
r 33
6. t 14 31
t 17
Check students’ problems.
7. b 5 12
8. a 9 2
9. 16 w 4
10. y 7 29
12. Glenn gave away some of his 20 pins.
p number of pins
Glen gave away; 20 p
Write an expression to match the words.
14. Todd caught 12 crickets. He then
13. Bob has some stamps. He gave Sam
5 stamps.
caught some more.
t5
12 k
Problem Solving and Test Prep
11. Thirteen dogs graduated in May.
Problem Solving and Test Prep
15. Sean gave away 20 hats. He gave
16. What is the value of the expression
15 (c 3) if c 5?
some hats to his brother. Write an
expression to show how many hats
Sean gave to his brother.
Possible answer: h number
of hats he gave to his
brother; 20 h
17. Edie ran 2 miles more than Joan.
A e2
C
e3
2e
D
e2
12. Eight service dogs graduated in
There were 5 assist dogs, 4 service
dogs, and some tracking dogs. Write
an equation that shows the total
number of dogs that graduated in
May.
7
13. Jed watched 10 minutes of previews
mother cat removes 3 kittens. Write an
expression that shows the number of
kittens left in the closet. How many
kittens are left in the closet?
6 3 3; 3 left
Circled problems are suggested homework problems.
PW15
February, 5 in May, and 9 in
November. Write and solve an
equation that shows how many
service dogs graduated in all.
8 + 5 + 9 = d;
d = 22 service dogs
5 + 4 + t = 13
18. There are 6 kittens in a closet. The
Which expression shows how far
Joan ran? D
Practice
14. Haley’s favorite picture book is
B
27 pages long. Eleven of the pages
have pictures of dogs. The rest have
pictures of birds. Which equation can
be used to find how many pages have
picture of birds? D
C
A 27 11 b
C
b 11 27
27 b 16
D
b 11 27
and a 50-minute movie about dogs.
Which equation shows the total time
Jed was in the theater? A
A 10 50 t
50 t 10
t 10 60
D t 10 50
B
Circled problems are suggested homework problems.
PW16
© Harcourt • Grade 4
Practice
© Harcourt • Grade 4
Lesson 3.2
Item
variables are given
2. Wendy had $12. Her mother gave her
Solve the equation.
16
Write an expression with a variable. Tell what the variable represents.
B
1. Rickie has 15 model cars. Some are
7. 25 if = 9 8. b (31 5) if b 52
7
25
Lesson 3.3
Write an equation. Use , , or for each
Find the value of each expression.
1. 12 (4 3)
Name
Addition and Subtraction Equations
Write and Evaluate Expressions
Lesson 3.3
Suggested rationale
Item
Suggested rationale
2
practice evaluating
expressions
1
practice writing equations
when given words
7
practice evaluating
expressions
3
practice solving a subtraction
equation
8
practice evaluating
expressions
6
practice solving an addition
equation
11
practice writing expressions
8
practice writing situations to
match equations
12
practice writing expressions
12
problem solving; practice
writing and solving equations
15
practice writing situations to
match expressions
13
16
practice writing situations to
match expressions
multiple choice; finding an
equation from a word
problem
17
multiple choice; finding an
expression to match the
variables in a word problem
PW15-PW16
© Harcourt · Grade 4
MXENL08AWK4X_PHTE_Rat.indd PW15-PW16
6/19/07 3:12:28 PM