Download Problem Solving 1-2 - Neshaminy School District

Name
LESSON
Date
Class
Problem Solving
1-2 Writing Algebraic Expressions
Write the correct answer.
1. Morton bought 15 new books to add
to his collection of books b. Write an
algebraic expression that represents
the total number of books in Morton’s
collection now.
2. Paul exercises m minutes per day
5 days a week. Write an algebraic
expression that represents how many
minutes Paul exercises in two weeks.
3. Helen bought 3 shirts that each
cost s dollars and 4 pairs of pants
that each cost p dollars. Write an
algebraic expression that represents
the total cost of the shirts and pants,
not including tax.
4. Bernice made c cookies to divide
evenly amoung four friends and
herself. Write an algebraic expression
that represents the number of
cookies each person
will receive.
Choose the letter for the best answer.
5. Jonas collects baseball cards. He
has 245 cards in his collection. For
his birthday, he received r more
cards, then he gave his brother
g cards. Which algebraic expression
represents the total number of cards
he now has in his collection?
A 245 r g
B 245 r g
C 245 r g
D r g 245
6. Monique is saving money for a
computer. She has m dollars saved.
For her birthday, her dad doubled her
money, but then she spent s dollars
on a shirt. Which algebraic expression
represents the amount of money she
has now saved for her computer?
F m2s
G 2m s
H 2m s
J m 2s
7. Which algebraic expression represents
the number of years in m months?
A 12m
8. Which algebraic expression represents
how many minutes are in h hours?
F 60h
m
ᎏ
B ᎏ12
C 12 m
D 12 m
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
h
G ᎏ6ᎏ
0
H h 60
J h 60
23
Holt Middle
School Math
Holt Pre-Algebra
Puzzles, Twisters & Teasers
1-2 Riddle Me This
Problem Solving
1-2 Writing Algebraic Expressions
LESSON
LESSON
What did the cucumber say to the vinegar?
Write the correct answer.
1. Morton bought 15 new books to add
to his collection of books b. Write an
algebraic expression that represents
the total number of books in Morton’s
collection now.
2. Paul exercises m minutes per day
5 days a week. Write an algebraic
expression that represents how many
minutes Paul exercises in two weeks.
b 15
2(5m)
3. Helen bought 3 shirts that each
cost s dollars and 4 pairs of pants
that each cost p dollars. Write an
algebraic expression that represents
the total cost of the shirts and pants,
not including tax.
4. Bernice made c cookies to divide
evenly amoung four friends and
herself. Write an algebraic
expression that represents the
number of cookies each person
will receive.
c
ᎏᎏ
5
3s 4p
Choose the letter for the best answer.
5. Jonas collects baseball cards. He
has 245 cards in his collection. For
his birthday, he received r more
cards, then he gave his brother
g cards. Which algebraic expression
represents the total number of cards
he now has in his collection?
A 245 r g
B 245 r g
C 245 r g
嘷
D r g 245
6. Monique is saving money for a
computer. She has m dollars saved.
For her birthday, her dad doubled her
money, but then she spent s dollars
on a shirt. Which algebraic expression
represents the amount of money she
has now saved for her computer?
F m2s
G 2m s
嘷
H 2m s
J m 2s
7. Which algebraic expression represents
the number of years in m months?
A 12m
8. Which algebraic expression represents
how many minutes are in h hours?
F 60h
嘷
m
ᎏ
B ᎏ
嘷
12
h
G ᎏ6ᎏ
0
C 12 m
D 12 m
H h 60
J h 60
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
23
Holt Holt
Middle
School Math
Pre-Algebra
Exploration Recording sheet
1-3 Solving Equations by Adding or Subtracting
Evaluate the expressions for each given value of x.
x
x1
x
1.
2.
1
2
3
1
2
3
4
3
4
5
6
1. 8 more than the number n
238n
9n
n 14
8n
T
U
V
P
6. 3 less than a number n
4n 16
n8
n3
6n 3
F
G
K
L
2. 9 times a number n
n9
9n
9n
16n
F
E
D
G
7. the sum of 4 and a number n
n4
15n 30
4n
n4
C
D
E
F
3. a number n decreased by 12
17 n
12n
32 n
n 12
J
K
L
I
8. the sum of a number n and 8
n8
8n
n8
88
L
Q
M
U
9. the difference of a number n and 32
n 32
S
32n
T
n 32
R
32 n
U
4. a number n divided by 17
33
ᎏᎏ
n
M
n3
n 17
17 n
O
N
I
5. quotient of a number n and 16
16 ÷ 4
3n
n 16
16n
10. a number n divided by 5
n5
n5
n5
25 5
B
L
A
R
W
e
a
r
e
i
10
2
5
9
2
3
a
p
i
c
k
l
e
5
1
3
7
6
8
2
x2
1
2
3
4
3
4.
4
5
6
Holt Holt
Middle
School Math
Pre-Algebra
Determine which value is a solution of the equation.
x2
1. y 5 9; y 4, 12, or 14
1
2
3
4
2. 6 x 14; x 6, 8, or 20
y 14
x8
3. 17 n 5; n 12, 13, or 22
Each expression below has been evaluated. Find the
value of x.
x
4
.
LESSON
4. a 11 35; a 16, 24, or 46
n 12
3.
n
24
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
W
M
N
O
Practice A
1-3 Solving Equations by Adding or Subtracting
LESSON
0
To find out, choose the correct algebraic
expression for each word phrase. Then find
the letter associated with each expression
you wrote to complete the decoder below.
a 24
Solve.
x
x5
5
6
7
8
0
5. n 8 5
n 13
1
8. 3 c 14
2
3
c 11
x4
9. 20 b 8
w 11
10. k 5 12
b 12
k 17
12. m 8 13
13. r 10 3
a5
m 21
r 13
14. 7 z 19
15. d 2 29
z 12
d 31
Possible answer: Substitute the x-value into the expression
and add or subtract.
7. w 2 9
11. a 6 11
Think and Discuss
5. Explain how you evaluated the expressions in Exercises 1 and
2.
6. x 3 7
16. y 28 44
y 16
17. Katie spent $52 at the mall. When she left the mall she had
$13 left. How much money did Katie have when she went to
the mall? Use the equation x 52 13.
$65
6. Explain how you found the values of x in Exercises 3 and 4.
18. The Wilsons are going on vacation to Washington, D.C.
The driving distance from their home in Louisville, Kentucky,
is 596 mi. At their first stop, Mr. Wilson noticed they had 408
more miles to drive. How many miles had they already driven?
Use the equation x 408 596.
Possible answer: Asked myself what number plus 2 equals 3 or
what number minus 5 equals 0 and tried different numbers.
188 mi
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
26
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Pre-Algebra
Holt Middle
School Math
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
110
27
Pre-Algebra
Holt Holt
Middle
School Math
Holt Pre-Algebra
Holt Middle
School Math