Ch
Practice C
Variables and Expressions
Give two ways to write each algebraic expression in words.
1. k ( 2.5 2. (5n
3. b ( 25 4. 100 ( x
5. Corey’s motorcycle gets 35 miles per gallon of gasoline. Write
an expression for how many miles the motorcycle can travel with
g gallons of gasoline.
6. Paulette buys a bag of candy for a party. The bag contains 150
pieces of candy. Write an expression for the number of pieces
each person gets if there are p people at the party.
Evaluate each expression for x ( 28, y ( 14, and z ( 4.
7. x ( y 8. yz 9. [pic]
10. At the video arcade, Jorge buys 25 tokens. He uses 2 tokens for each game that he plays.
a. Write an expression for the number of tokens Jorge has left after playing g games.
b. Find the number of tokens he has left after playing 1, 4, 10, and 12 games.
Write an algebraic expression for each verbal expression. Then write a real-world situation that could be modeled by the expression.
11. 8 less than n 12. the product of x and 4
Answer Key
LESSON 1–1
PRACTICE A
1. the sum of a and 3 2. 2 times x
3. y less than 5
4. the quotient of n and 4
5. 10 increased by t
6. the product of 3 and s
7. c ( 2 8. 5m
9. 8 10. 4
11. 12 12. 3
13. 16 14. 8
15. a. j ( 4
b. 11 years old; 16 years old; 54 years old
Practice B
1. the difference of 15 and b; b less than 15
2. the quotient of x and 16; x divided by 16
3. the sum of x and 9; 9 more than x
4. the product of 2 and t; 2 times t
5. the difference of z and 7; 7 less than z
6. the product of 4 and y; 4 times y
7. g ( 6 8. 10m
9. 10 10. 4
11. 7 12. 3
13. 16 14. 3
15. a. d ( 20
b. 40 dollars; 80 dollars; 95 dollars
Practice C
1. the sum of k and 2.5; 2.5 more than k
2. the product of (5 and n; (5 times n
3. the quotient of b and 25; b divided by 25
4. the difference of 100 and x; x less than 100
5. 35g 6. 150 ( p
7. 14 8. 56
9. [pic]
10. a. 25 ( 2g
b. 23 tokens; 17 tokens; 5 tokens; 1 token
11. n ( 8, Possible answer:
Tammy is 8 years younger than Nate, who is n years old
12. 4x, Possible answer:
Bo had 4 times as many votes as Scott,
who had x votes
Review for Mastery
1. 35m 2. h ( 0.5
3. c ( 25 4. 152 ( b
5. r ( 50 6. 8
7. 10 8. 29
9. 19 10. 18
11. 12 12. 18
13. 16 14. 2
15. 9 16. 36
17. 7
Challenge
1. 70 ( 0.35(m)
|Expression for Plan A |Cost of Plan A |
|40 ( 0.45(200) |$130 |
|40 ( 0.45(300) |$175 |
|40 ( 0.45(400) |$220 |
|40 ( 0.45(500) |$265 |
|Expression for Plan B |Cost of Plan B |
|70 ( 0.35(100) |$105 |
|70 ( 0.35(200) |$140 |
|70 ( 0.35(300) |$175 |
|70 ( 0.35(400) |$210 |
|70 ( 0.35(500) |$245 |
2. Plan A 3. Plan
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LESSON
1-1
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