Challenge 1-2 - Neshaminy School District

Name
LESSON
Date
Class
Challenge
1-2 Amazing Math
Write an algebraic expression for each word phrase on the
board. Evaluate each expression for x 2.
Then find a path from the top row to the bottom row that
gives a total of 22.
3 times x
1 less than
twice x
6 more than x
x increased
by 3
the quotient of
twice x and 2
1 more
than x
the product of
3 and x
x decreased
by 1
half of x
twice x
increased
by 3
1 less than
3 times x
the difference
between 3 and
x
the difference
between 2 and
x
the product of
4 and x
the sum of 6
and twice x
twice x
the difference
between x
and 1
the sum of
x and 5
1 more than
half of x
the product
of 4 and 3
times x
x increased
by 2
the quotient of
x and 2
7 increased
by x
the quotient of
6 and x
5 times x
divided by 2
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22
Holt Middle
School Math
Holt Pre-Algebra
Practice C
1-2 Writing Algebraic Expressions
Practice B
1-2 Writing Algebraic Expressions
LESSON
LESSON
Write an expression for each word phrase.
Write an expression for each word phrase.
n
ᎏᎏ
5
p 20
4y
3. a number c decreased by 11
21
ᎏᎏ
b
x6
3(b 5)
共 24 兲
6(z 19)
Translate each algebraic expression into words.
7 2x
9. y 7
10. 12p
b. How much money would Madeline have earned if she worked 18 hours?
12. 10(8 w)
11. 3 5n
$126
c
ᎏᎏ
6
3 plus the product of 5 and
10 times the sum of 8 and a
a number n
number w
Write an algebraic expression and use it to evaluate each word
problem.
24 cards
b. If Jonah has 144 cards, how many will he give each friend?
13. At a concession stand, hot dogs are $1.50, hamburgers are $3,
and soft drinks are $2. Write an expression for the total cost of
buying h hot dogs, b hamburgers, and s soft drinks. Find the
total cost of 3 hot dogs, 2 hamburgers, and 4 soft drinks.
Write an algebraic expression and use it to solve each
word problem.
13. Mike bought 45 stamps at the post office. After he used
x stamps, he had x less than 45 stamps remaining. How
many stamps did he have left after using 33 stamps?
1.5h 3b 2s; $18.50
14. At the Music Gallery all the CDs are on sale for 15% off the
regular price p. Nathan bought 3 CDs that were all the same
regular price. Write an expression that represents what Nathan
paid before taxes. If the regular price of each CD Nathan bought
was $13.50, what was the total cost before taxes?
45 x ; 12 stamps
14. At the deli Jackie bought y pounds of ham salad for $4.19
per pound. If she buys 3 pounds, how much will it cost?
4.19y ; $12.57
3(p 0.15p); $34.43
Holt Pre-Algebra
19
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Middle School Math
Reteach
1-2 Writing Algebraic Expressions
LESSON
Write an algebraic expression for each word phrase on the
board. Evaluate each expression for x 2.
What words tell you to add, subtract, multiply, or divide?
Multiply 6n
n times 6
Divide n 6
n divided by 6
the difference
between n and 6
the product of
n and 6
the quotient of
n and 6
6 subtracted from n
6 multiplied by n
6 equal shares of n
Add n 6
n plus 6
Subtract
n minus 6
the sum of n and 6
n6
Then find a path from the top row to the bottom row that
gives a total of 22.
6 less than n
3 times x
1 less than
twice x
6 more than x
x increased
by 3
the quotient of
twice x and 2
3x 6
2x 1 3
x68
x35
2x
ᎏᎏ 2
2
1 more
than x
the product of
3 and x
x decreased
by 1
half of x
x13
3x 6
x11
1 less than
3 times x
the difference
between 3
and x
3x 1 5
n decreased by 6
Give the algebraic expression that represents the word
expression.
1. the quotient of n and 3
2. 3 more than n
n3
n3
3. the factors 3 and n
4. n decreased by 3
n3
3n
5. 3 less than n
6. the product of n and 3
n3
3n
7. n increased by 3
Pre-Algebra
Holt Holt
Middle
School Math
20
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Challenge
1-2 Amazing Math
LESSON
twice x
increased
by 3
x
ᎏᎏ 1
2
2x 3 7
the difference
between 2
and x
the product of
4 and x
the sum of 6
and twice x
3x1
2x0
4x 8
6 2x 10
twice x
the difference
between x
and 1
the sum of
x and 5
1 more than
half of x
2x 4
x11
x57
x
ᎏᎏ 1 2
2
the product
of 4 and 3
times x
4(3x) 24
x increased
by 2
the quotient of
x and 2
7 increased
by x
the quotient of
6 and x
5 times x
divided by 2
x
ᎏᎏ 1
2
7x9
6
ᎏᎏ 3
x
5x
ᎏᎏ 5
2
8. one-third times n
1
ᎏᎏn or n 3
3
n3
9. Michelle had $142 in her savings account. Write an expression
to determine the number of dollars left in her account after she
withdrew d dollars.
142 d
10. The Mortons are donating $1000 to buy gifts for the children
spending Thanksgiving in a hospital ward. Write an expression
to determine the amount to be spent on each of c children if
they are to share equally in the donated money.
1000 c
11. The circumference of the earth is about 25,000 miles. Write an
expression to determine the number of miles traveled after an
airplane pilot travels x times around the earth.
25,000x
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
the product of 12 and a number p
a number y decreased by 7
7x
12. a. Jonah wants to divide his baseball card collection of c cards
equally among 6 friends. Write an expression to determine the
number of cards he will give each friend.
n increased by 6
8. 6 times the difference of a number z
and 19
b
2 ᎏᎏ
11. a. Madeline worked x hours at a rate of $7 per hour. Write an
expression to find out how much money Madeline earned.
6 added to n
25w 10
7. twice the quotient of a number b
and 24
10(d 3)
10. 7 minus the product of 2 and a
number x
11s 3
6. the sum of 25 times a number w and 10
9(d 13)
8. 10 times the difference of a number
d and 3
9. the sum of 11 times a number s and 3
k
k8
ᎏᎏ 8 or ᎏ ᎏ
9
9
5. 9 times the sum of a number d and 13
6. the quotient of 21 and a number b
7. 3 times the sum of a number b and 5
4. 8 less than a number k divided by 9
36
ᎏᎏ
m
9n
5. 6 less than a number x
n 11
3. the quotient of 36 and a number m
4. the product of a number n and 9
c 11
2. 11 less than a number n
1. a number p increased by 20
2. the sum of 4 and a number y
1. a number n divided by 5
21
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x24
22
Holt Pre-Algebra
Holt Middle
School Math
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
109
22
Pre-Algebra
Holt Holt
Middle
School Math
Holt Pre-Algebra
Holt Middle
School Math