1-1 Words and Expressions
Write a numerical expression for each verbal phrase.
12. the height difference between fourteen and nine inches
SOLUTION: Phrase: the difference of fourteen and nine
Expression: 14 – 9
13. the total number of fish if you had eight and bought four more
SOLUTION: Phrase: the sum of eight and four
Expression: 8 + 4
14. the number of weeks until vacation if vacation is twenty-eight days away
SOLUTION: Phrase: the quotient of twenty-eight and seven
Expression: 28 ÷ 7
15. the total length of songs on a CD if each of nine songs is three minutes long
SOLUTION: Phrase: the product of nine and three
Expression: 9 × 3
16. the total money earned if Lee sold four scarves at twenty dollars each
SOLUTION: Phrase: the product of four and twenty
Expression: 4 × 20
17. the number of people left to play if ten of fifteen have played
SOLUTION: Phrase: the difference of fifteen and ten
Expression: 15 – 10
Evaluate each expression.
18. 3 • 6 – 4
SOLUTION: 19. 18 – 4 × 2
SOLUTION: 20. 16 ÷ 4 + 15
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19. 18 – 4 × 2
SOLUTION: 1-1 Words and Expressions
20. 16 ÷ 4 + 15
SOLUTION: 21. 2[3 + 7(4)]
SOLUTION: 22. 6 + 4(3)
SOLUTION: 23. 12(11) – 56
SOLUTION: 24. 8[(12 – 5) + 4]
SOLUTION: 25. 4(8) ÷ (8 – 6)
SOLUTION: 26. SOLUTION: 27. 7[8(3) ÷ (15 – 9)]
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1-1 Words and Expressions
27. 7[8(3) ÷ (15 – 9)]
SOLUTION: 28. SOLUTION: 29. SOLUTION: 30. TILING A decorative floor pattern has one red square tile surrounded by 12 blue tiles. Write and evaluate an
expression to show how many total tiles (red and blue) are needed if there are 15 red tiles. Then make a table
showing the total number of tiles if there are 15, 20, 25, or 30 red tiles.
SOLUTION: Phrase: the sum of 15 and the product of 12 and 15
Evaluated expression: 15 + 12(15) = 15 + 180 = 195
For a pattern with 15 red tiles, there will be 195 total tiles.
Number of
Evaluated Expression
Total
Red Tiles
Number
of Tiles
15
195
15 + 12(15) = 15 + 180 = 195
20
255
15 + 12(20) = 15 + 240 = 255
25
315
15 + 12(25) = 15 + 300 = 315
30
375
15 + 12(30) = 15 + 360 = 375
31. NEWSPAPERS To place an ad in a newspaper, it costs $8 plus $0.75 for each line. Write and evaluate an
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expression to find the total cost for an ad that has 6 lines. Then make a table showing the cost if there are 6, 10, 14,
and 18 lines in the ad.
1-1
15
20
25
Words and
30
15 + 12(15) = 15 + 180 = 195
15 + 12(20) = 15 + 240 = 255
15 + 12(25) = 15 + 300 = 315
Expressions
15 + 12(30) = 15 + 360 = 375
195
255
315
375
31. NEWSPAPERS To place an ad in a newspaper, it costs $8 plus $0.75 for each line. Write and evaluate an
expression to find the total cost for an ad that has 6 lines. Then make a table showing the cost if there are 6, 10, 14,
and 18 lines in the ad.
SOLUTION: Phrase: the sum of 8 and the product of 6 and 0.75
Evaluated expression: 8 + 6(0.75) = 8 + 4.5 = 12.5
It will cost $12.50 to place an ad with 6 lines.
Number of
Evaluated Expression
Lines
6
8 + 6(0.75) = 8 + 4.5 = 12.5
10
8 + 10(0.75) = 8 + 7.5 = 15.5
14
8 + 14(0.75) = 8 + 10.5 = 18.5
18
8 + 18(0.75) = 8 + 13.5 = 21.5
Cost ($)
12.50
15.50
18.50
21.50
32. ZOO The table shows the prices of admission to the local zoo.
a. Write an expression that can be used to find the total cost of admission for 4 adults, 3 children, and 1 senior.
b. Find the total cost.
SOLUTION: a. Phrase: the sum of (the product of four and eight) and (the product of three and five) and four
Expression: 4(8) + 3(5) + 4
b.
It will cost $51 for 4 adults, 3 children, and 1 senior to go to the zoo.
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