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1-2 Practice C.pdf - MrWalkerHomework

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Name Date Class<br />

LESSON<br />

1-2<br />

<strong>Practice</strong> C<br />

Writing Algebraic Expressions<br />

Write an expression for each word phrase.<br />

1. a number p increased by 20<br />

2. 11 less than a number n<br />

3. the quotient of 36 and a number m<br />

4. 8 less than a number k divided by 9<br />

5. 9 times the sum of a number d and 13<br />

6. the sum of 25 times a number w and 10<br />

7. twice the quotient of a number b<br />

and 24<br />

8. 6 times the difference of a number z<br />

and 19<br />

Translate each algebraic expression into words.<br />

9. y 7<br />

10. 12p<br />

11. 3 5n<br />

12. 10(8 w)<br />

Write an algebraic expression and use it to evaluate each word<br />

problem.<br />

13. At a concession stand, hot dogs are $1.50, hamburgers are $3,<br />

and soft drinks are $2. Write an expression for the total cost of<br />

buying h hot dogs, b hamburgers, and s soft drinks. Find the<br />

total cost of 3 hot dogs, 2 hamburgers, and 4 soft drinks.<br />

14. At the Music Gallery all the CDs are on sale for 15% off the<br />

regular price p.Nathan bought 3 CDs that were all the same<br />

regular price. Write an expression that represents what Nathan<br />

paid before taxes. If the regular price of each CD Nathan bought<br />

was $13.50, what was the total cost before taxes<br />

Copyright © by Holt, Rinehart and Winston.<br />

20 Holt Middle School Math<br />

All rights reserved.


LESSON<br />

1-2<br />

<strong>Practice</strong> B<br />

Writing Algebraic Expressions<br />

Write an expression for each word phrase.<br />

1. a number n divided by 5<br />

n 5 <br />

3. a number c decreased by 11<br />

c 11<br />

5. 6 less than a number x<br />

x 6<br />

7. 3 times the sum of a number b and 5<br />

3(b 5)<br />

9. the sum of 11 times a number s and 3<br />

11s 3<br />

11. a. Madeline worked x hours at a rate of $7 per hour. Write an<br />

expression to find out how much money Madeline earned.<br />

b. How much money would Madeline have earned if she worked 18 hours<br />

12. a. Jonah wants to divide his baseball card collection of c cards<br />

equally among 6 friends. Write an expression to determine the<br />

number of cards he will give each friend.<br />

b. If Jonah has 144 cards, how many will he give each friend<br />

Write an algebraic expression and use it to solve each<br />

word problem.<br />

13. Mike bought 45 stamps at the post office. After he used<br />

x stamps, he had x less than 45 stamps remaining. How<br />

many stamps did he have left after using 33 stamps<br />

45 x ; 12 stamps<br />

14. At the deli Jackie bought y pounds of ham salad for $4.19<br />

per pound. If she buys 3 pounds, how much will it cost<br />

4.19y ; $12.57<br />

2. the sum of 4 and a number y<br />

4 y<br />

4. the product of a number n and 9<br />

6<br />

c <br />

$126<br />

24 cards<br />

Copyright © by Holt, Rinehart and Winston.<br />

19 Holt Middle School Math<br />

All rights reserved.<br />

9n<br />

6. the quotient of 21 and a number b<br />

2 1<br />

<br />

b<br />

8. 10 times the difference of a number<br />

d and 3<br />

10(d 3)<br />

10. 7 minus the product of 2 and a<br />

number x<br />

7 2x<br />

7x<br />

LESSON<br />

1-2<br />

<strong>Practice</strong> C<br />

Writing Algebraic Expressions<br />

Write an expression for each word phrase.<br />

1. a number p increased by 20<br />

p 20<br />

3. the quotient of 36 and a number m<br />

3 6<br />

<br />

m<br />

5. 9 times the sum of a number d and 13<br />

9(d 13)<br />

7. twice the quotient of a number b<br />

and 24<br />

2 2<br />

b4 <br />

Translate each algebraic expression into words.<br />

9. y 7<br />

a number y decreased by 7<br />

11. 3 5n<br />

3 plus the product of 5 and<br />

a number n<br />

2. 11 less than a number n<br />

n 11<br />

4. 8 less than a number k divided by 9<br />

k k 8<br />

8 or <br />

9 9<br />

6. the sum of 25 times a number w and 10<br />

25w 10<br />

8. 6 times the difference of a number z<br />

and 19<br />

6(z 19)<br />

Write an algebraic expression and use it to evaluate each word<br />

problem.<br />

13. At a concession stand, hot dogs are $1.50, hamburgers are $3,<br />

and soft drinks are $2. Write an expression for the total cost of<br />

buying h hot dogs, b hamburgers, and s soft drinks. Find the<br />

total cost of 3 hot dogs, 2 hamburgers, and 4 soft drinks.<br />

1.5h 3b 2s; $18.50<br />

14. At the Music Gallery all the CDs are on sale for 15% off the<br />

regular price p.Nathan bought 3 CDs that were all the same<br />

regular price. Write an expression that represents what Nathan<br />

paid before taxes. If the regular price of each CD Nathan bought<br />

was $13.50, what was the total cost before taxes<br />

3(p 0.15p); $34.43<br />

10. 12p<br />

the product of 12 and a number p<br />

12. 10(8 w)<br />

10 times the sum of 8 and a<br />

number w<br />

Copyright © by Holt, Rinehart and Winston.<br />

20 Holt Middle School Math<br />

All rights reserved.<br />

LESSON<br />

1-2<br />

Reteach<br />

Writing Algebraic Expressions<br />

What words tell you to add, subtract, multiply, or divide<br />

Add n 6<br />

n plus 6<br />

the sum of n and 6<br />

6 added to n<br />

n increased by 6<br />

Give the algebraic expression that represents the word<br />

expression.<br />

1. the quotient of n and 3<br />

n 3<br />

3. the factors 3 and n<br />

3n<br />

5. 3 less than n<br />

n 3<br />

7. n increased by 3<br />

n 3<br />

Subtract n 6<br />

n minus 6<br />

the difference<br />

between n and 6<br />

6 subtracted from n<br />

6 less than n<br />

n decreased by 6<br />

Multiply 6n<br />

n times 6<br />

the product of<br />

n and 6<br />

6 multiplied by n<br />

2. 3 more than n<br />

n 3<br />

4. n decreased by 3<br />

n 3<br />

6. the product of n and 3<br />

9. Michelle had $142 in her savings account. Write an expression<br />

to determine the number of dollars left in her account after she<br />

withdrew d dollars.<br />

10. The Mortons are donating $1000 to buy gifts for the children<br />

spending Thanksgiving in a hospital ward. Write an expression<br />

to determine the amount to be spent on each of c children if<br />

they are to share equally in the donated money.<br />

142 d<br />

1000 c<br />

11. The circumference of the earth is about 25,000 miles. Write an<br />

expression to determine the number of miles traveled after an<br />

airplane pilot travels x times around the earth. 25,000x<br />

3n<br />

8. one-third times n<br />

1 n or n 3<br />

3<br />

Divide n 6<br />

n divided by 6<br />

the quotient of<br />

n and 6<br />

6 equal shares of n<br />

LESSON<br />

1-2<br />

Challenge<br />

Amazing Math<br />

Write an algebraic expression for each word phrase on the<br />

board. Evaluate each expression for x 2.<br />

Then find a path from the top row to the bottom row that<br />

gives a total of 22.<br />

3 times x<br />

3x 6<br />

1 more<br />

than x<br />

x 1 3<br />

1 less than<br />

3 times x<br />

3x 1 5<br />

twice x<br />

2x 4<br />

x increased<br />

by 2<br />

x 2 4<br />

22<br />

1 less than<br />

twice x<br />

2x 1 3<br />

the product of<br />

3 and x<br />

3x 6<br />

the difference<br />

between 3<br />

and x<br />

3 x 1<br />

the difference<br />

between x<br />

and 1<br />

x 1 1<br />

the quotient of<br />

x and 2<br />

2<br />

x 1<br />

6 more than x<br />

x 6 8<br />

x decreased<br />

by 1<br />

x 1 1<br />

the difference<br />

between 2<br />

and x<br />

2 x 0<br />

the sum of<br />

x and 5<br />

x 5 7<br />

7 increased<br />

by x<br />

7 x 9<br />

x increased<br />

by 3<br />

x 3 5<br />

half of x<br />

2<br />

x 1<br />

the product of<br />

4 and x<br />

4x 8<br />

1 more than<br />

half of x<br />

2<br />

x 1 2<br />

the quotient of<br />

6 and x<br />

6 x 3<br />

the quotient of<br />

twice x and 2<br />

2 x<br />

2<br />

2<br />

twice x<br />

increased<br />

by 3<br />

2x 3 7<br />

the sum of 6<br />

and twice x<br />

6 2x 10<br />

the product<br />

of 4 and 3<br />

times x<br />

4(3x) 24<br />

5 times x<br />

divided by 2<br />

5 x<br />

5<br />

2<br />

Copyright © by Holt, Rinehart and Winston.<br />

21 Holt Middle School Math<br />

All rights reserved.<br />

Copyright © by Holt, Rinehart and Winston.<br />

22 Holt Middle School Math<br />

All rights reserved.<br />

Copyright © by Holt, Rinehart and Winston.<br />

109 Holt Middle School Math<br />

All rights reserved.

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