Name
*
In 1 through 4, write an algebraic
expression for each situation.
5. In the example at the top of
page 516, what does the variable
n represent?
1. the difference of a number t and 22
2. m bicycles added to 18 bicycles
6. Reason Identify the variable and
the operation in the algebraic
expression 8y.
3. 11 times a number z
4. 4 less than 5 times a number g
7. Represent Write an algebraic
expression for this situation: n more
students than the 8 students sitting
in each of the 3 rows.
For 8 through 15, write algebraic expressions.
8. A number p increased by 22
9. 15 divided by a number r
10. 12 more than 8 times a number p
11. 6 less than 7 times a number b
12. 5 more than the product of x and 9
13. 7 times the difference of y and 4
14. 3 less than the quotient of 24 , a
15. 7 times a number s added to 16
*For another example, see Set B on page 559.
Topic 10 Lesson 10-3
517
16. Reason The distance around a closed
shape can be expressed as 3 times the
length of side s, or 3s. Draw an example
of this geometric shape.
17. Manuel sold a cartons of apple juice and
r cartons of raisins. Write an algebraic
expression to represent how many
cartons of apple juice and raisins Manuel
sold in all.
18. Represent One float for the
Tournament of Roses parade uses as
many flowers as a florist usually sells in
5 years. If x is the number of flowers a
florist sells in 1 year, write an algebraic
expression for the number of flowers
used for one float.
19. Extend Your Thinking Devin’s DVD case
has 3 rows of slots, but 5 slots are broken.
If x equals the number of slots in a row,
explain how the expression 3x - 5 relates
to Devin’s DVD case.
20. Use the diagram. Betty wants to put fencing around the
perimeter of her vegetable garden. How many feet of
fencing will she need?
Betty’s Vegetable Garden
15 ft
21. What is the area of the vegetable garden?
22. Connect Farmer John has hens, geese,
ducks, and 2 goats. The number of hens
equals the number of geese and ducks
combined. There are 5 fewer geese than
ducks. If the total number of animals is
40, how many are ducks?
40 ft
23. Which expression shows a quantity
of rolls, r, added to 8 bagels?
A
B
C
D
8-r
8r
8+r
r,8
Read the problem and look
for words or phrases that
tell what operation to use.
518
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