3-5 Adding and Subtracting Like Fractions
Find each sum or difference. Write in simplest
form.
17. 13. SOLUTION: SOLUTION: 14. 18. SOLUTION: SOLUTION: 15. 19. SOLUTION: SOLUTION: 16. SOLUTION: 20. SOLUTION: 21. 17. eSolutions
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3-5 Adding and Subtracting Like Fractions
21. Evaluate each expression if x =
SOLUTION: z=
,y =
, and
.
24. y – z
SOLUTION: 22. SOLUTION: 25. y – x
SOLUTION: 23. SOLUTION: 26. x – z
SOLUTION: Evaluate each expression if x =
,y =
, and
27. z – x
z=
.
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3-5 Adding and Subtracting Like FractionsNan grew
27. z – x
29. Yahto needs
inches.
cups of sugar to make cookies. He SOLUTION: needs an additional
cup for bread. Find the total amount of sugar that Yahto needs.
SOLUTION: 28. Be Precise Nan was
inches tall at the end of inches by March. How the summer. She was
much did she grow during that time?
SOLUTION: Yahto needs
cups of sugar.
Find the distance between each pair of points.
Simplify if necessary.
Nan grew
inches.
30. and
SOLUTION: 29. Yahto needs
cups of sugar to make cookies. He needs an additional
Find the absolute value of the difference of
and
cup for bread. Find the total .
amount of sugar that Yahto needs.
SOLUTION: So, the distance between
31. cups of sugar.
is
unit.
and
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Yahto needs
and
Page 3
SOLUTION: the distanceand
between
and is Like
unit. Fractions
3-5So,Adding
Subtracting
So, the distance between 31. and
is
unit.
and
33. SOLUTION: and
SOLUTION: Find the absolute value of the difference of
and
Find the absolute value of the difference of
.
and
.
The distance between
So, the distance between and
is
unit.
and
is
unit.
Find each sum or difference. Write in simplest
form.
34. 32. and
SOLUTION: SOLUTION: Find the absolute value of the difference of and
.
35. SOLUTION: So, the distance between 33. and
is
unit.
and
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Find the absolute value of the difference of
36. A triathlon is a race with swimming, biking and
running. If an athlete swims for
Page 4
minutes, bikes 3-5 Adding and Subtracting Like FractionsThe athlete will compete for
minutes.
37. The table shows the weight of Leon’s dog during its
first 5 years.
35. SOLUTION: a. How much weight did Leon’s dog gain or lose
between ages 3 and 4? between years 1 and 5?
b. If Leon’s dog gains
pounds each year between years 5 and 7, how much will his dog
weigh?
36. A triathlon is a race with swimming, biking and
running. If an athlete swims for
for
minutes, and runs for minutes, bikes minutes,what SOLUTION: a.
Leon’s dog lost
pound between ages 3 and 4.
was his total time?
SOLUTION: Leon’s dog gained
pounds between years 1 and 5.
b.
The athlete will compete for
minutes.
37. The table shows the weight of Leon’s dog during its
first 5 years.
a. How much weight did Leon’s dog gain or lose
between ages 3 and 4? between years 1 and 5?
b. If Leon’s dog gains
pounds each year between years 5 and 7, how much will his dog
weigh?
Leon’s dog will weigh
pounds at age 7.
38. A lasagne recipe uses
teaspoons of basil,
teaspoon of pepper, and 4 teaspoons of parsley. If
you double the recipe, how many teaspoons of
seasoning will you use?
SOLUTION: SOLUTION: a.
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Leon’s
dog- Powered
lost
pound between ages 3 and 4.
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will use
dog willand
weighSubtracting
pounds at age 7.
3-5Leon’s
Adding
Like FractionsYou
recipe.
38. A lasagne recipe uses
teaspoons of basil,
total teaspoons if you double the 44. The average times it takes Miguel to cut his lawn and
his neighbor’s lawn are given in the table.
teaspoon of pepper, and 4 teaspoons of parsley. If
you double the recipe, how many teaspoons of
seasoning will you use?
SOLUTION: Last summer, he cut his lawn 10 times and his
neighbor’s 6 times. How many hours did he spend
cutting both lawns?
A
h
B 14 h
C
h
D 15 h
SOLUTION: You will use
total teaspoons if you double the recipe.
44. The average times it takes Miguel to cut his lawn and
his neighbor’s lawn are given in the table.
Miguel spent 15 hours cutting both lawns last
summer. Choice D is correct.
45. A piece of wood is
Last summer, he cut his lawn 10 times and his
neighbor’s 6 times. How many hours did he spend
cutting both lawns?
A
h
inches thick. A layer of inch thick is placed on top of the wood. padding
What is the total thickness of the wood and the
padding?
F
in.
G
in.
B 14 h
C
h
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H
in.
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The total thickness of the wood and the padding is
spent 15 hours cutting both lawns last
3-5Miguel
Adding
and Subtracting Like Fractions
summer. Choice D is correct.
45. A piece of wood is
inches thick. A layer of inches. Choice J is correct.
46. Ronata is putting lace around the tablecloth shown
below. How much lace will she need to cover all 4
sides?
inch thick is placed on top of the wood. padding
What is the total thickness of the wood and the
padding?
F
in.
G
in.
A H
in.
J
in.
in.
B 41 in.
C 125 in.
D 250 in.
SOLUTION: SOLUTION: Find the perimeter of the tablecloth by adding the
length of all 4 sides.
Ronata will need 250 inches of lace. Choice D is
correct.
47. SHORT RESPONSE Simplify the expression
below.
The total thickness of the wood and the padding is
SOLUTION: inches. Choice J is correct.
46. Ronata is putting lace around the tablecloth shown
below. How much lace will she need to cover all 4
sides?
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A Manual
B 41 in.
Page 7