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MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the least common multiple (LCM) of the list of numbers.
Find the LCM of 18 and 9.
A recipe for cake calls for 41
6 cups of brown sugar. If you are only making a half–batch, how much
brown sugar would you need?
Perform the indicated operation.
Find the least common multiple (LCM) of the list of numbers.
Perform the indicated operation. Simplify your answers.
Find the least common multiple (LCM) of the list of numbers.
Perform the indicated operation. Simplify your answers.
D)
How many 1
8–ounce doses are available in a 2–ounce container of medicine?
Use the order of operations to simplify the expression.
A stack of 11
4–inch wide pizza boxes has a height of 233
4–inches. How many boxes are in the
stack.
233
4
The circle graph below shows us how an average consumer spends money. Use this information for Exercises 26 through
28.
Suppose your family spent $59,000 on the items in the graph above. How much might we expect
was spent on transportation?
Solve. Write the answer in simplest form.
The total length of a bicycle race is 3
6 of a mile. Kira has completed 2
6 of a mile. How much does
she have left to complete?
Perform the indicated operation. Simplify your answers.
A recipe for fudge brownies calls for 37
8 cups of cocoa per batch. If you are making 11
2 batches,
how many cups of cocoa are needed?
Perform the indicated operation. Simplify your answers.
Fill in the blank with one of the words or phrases listed below.
equivalent least common multiple >
mixed number least common denominator <
unlike like exponent
A(n) has a whole number part and a fraction part.
Perform the indicated operation. Simplify your answers.
Find the least common multiple (LCM) of the list of numbers.
Find the least common multiple (LCM) of the list of numbers.
Find the perimeter of each figure. For Exercise 29, find the area also.
area: 9
52 ft2; perimeter: 135
52 ft
area: 1
4ft2; perimeter: 135
52 ft
area: 9
52 in2; perimeter: 135
52 in
area: 4
13 ft2; perimeter: 87
104 ft
Use the order of operations to simplify the expression.
Perform the indicated operation. Simplify your answers.
Use the order of operations to simplify the expression.
Perform the indicated operation. Simplify your answers.
Find the average of 5
6, 9
10, and 8
3.
A female tiger had 4 cubs. They weighed 213
16, 2 1
16, 3 7
16, 4 5
16 pounds, respectively. What was the
average weight of a cub? (Recall that the average of a list of numbers is their sum divided by the
number of items in the list.)
Fill in the blank with one of the words or phrases listed below.
equivalent least common multiple >
mixed number least common denominator <
unlike like exponent
Fractions that have different denominators are called fractions.
D)
Perform the indicated operation. Simplify your answers.
A small airplane used 493
4 gallons on fuel on a 51
2 hour trip. How many gallons of fuel were used
for each hour?
A carpenter cuts a piece 35
8 feet long from a cedar plank that is 14 feet long. How long is the
remaining piece?
Elizabeth is making matching holiday outfits for herself and her 3 children. Elizabeth’s outfit
requires 2 9
16 yds of fabric and each child’s outfit requires 7
8 yds. She finds a 5–yd remnant on sale.
Is this enough material to make all 4 outfits? If not, how much more material is needed?
Last week, Samantha ran 16 miles. This week, she ran 144
5 miles. How much more did she run last
week?
Solve. Write the answer in simplest form.
Given the following diagram, find L, its total length.
x =5
8 inch, y =11
32 inch, z =3
4 inch
Find the least common multiple (LCM) of the list of numbers.
Use the order of operations to simplify the expression.
Find the least common multiple (LCM) of the list of numbers.
Find the LCM of 27, 48, and 162.
Chris rode her bicycle 11
2miles on Tuesday. On Thursday, she rode 151
3 miles. What was her total
biking distance for those two days?
Perform the indicated operation. Simplify your answers.
Solve. Write the answer in simplest form.
The circle graph shows the fraction of books read by grades one through five. What fraction of
books was NOT read by the fourth and second grades?
3
25
9
50
1
4
1
5
1
4
The circle graph below shows us how an average consumer spends money. Use this information for Exercises 26 through
28.
What fraction of spending goes for clothing, transportation, and other?
Use the order of operations to simplify the expression.
Insert < or > to form a true statement.
Find the least common multiple (LCM) of the list of numbers.
The circle graph below shows us how an average consumer spends money. Use this information for Exercises 26 through
28.
What fraction of spending goes for education and transportation combined?
Find the area and perimeter of the figure:
3
7 ft
5
8 ft
area: 25
36 ft2; perimeter: 23
28 ft
area: 15
56 in2; perimeter: 23
28 in
area: 10
21 ft2; perimeter: 13
56 ft
area: 15
56 ft2; perimeter: 23
28 ft
Fill in the blank with one of the words or phrases listed below.
equivalent least common multiple >
mixed number least common denominator <
unlike like exponent
Fractions that have the same denominator are called fractions.
Use the order of operations to simplify the expression.
Fill in the blank with one of the words or phrases listed below.
equivalent least common multiple >
mixed number least common denominator <
unlike like exponent
fractions represent the same portion of a whole.
Jerry caught a fish that weighed 142
7 pounds. Pat caught a fish that weighed 74
7 pounds. How
much more did Jerry’s fish weigh than Pat’s fish?
Fill in the blank with one of the words or phrases listed below.
equivalent least common multiple >
mixed number least common denominator <
unlike like exponent
The symbol means is greater than.
Solve. Write the answer in simplest form.
Inga read 2
11 of her book on Monday, 4
11 of her book on Tuesday, and 2
11 of her book on
Wednesday. What part of her book has she read?
Use the order of operations to simplify the expression.
Find the least common multiple (LCM) of the list of numbers.
Perform the indicated operation. Simplify your answers.
Use the order of operations to simplify the expression.
Find the perimeter of each figure. For Exercise 29, find the area also.
Find the perimeter of the triangle.
7 feet 111
3 feet
131
2 feet
Find the least common multiple (LCM) of the list of numbers.
Use the order of operations to simplify the expression.
Use the order of operations to simplify the expression.
Laura’s chocolate store is famous for its “Chocnut”, a unique mix of chocolate and nuts. A Supreme
box of Chocnut has 22
5 pounds of chocolate and 51
3 pounds of nuts. A Deluxe box has 51
4 pounds
of chocolate and 31
9 pounds of nuts. John bought 3 Supreme boxes and 5 Deluxe boxes of Chocnut.
What is the total weight of his purchase?
Solve. Write the answer in simplest form.
Marty jogged 3
10 of a mile from home and then rested. Then he continued jogging another 4
10 of a
mile until he discovered his watch had fallen off. He walked back along the same path for 3
10 of a
mile until he found his watch. Find how far he was from his starting point.
Write the fraction as an equivalent fraction with the given denominator.
Jeffery has two packages. One weighs 12
5 ounces, and the other weighs 5
9 ounces. What is the total
weight of the two packages?
Find the area and perimeter of the figure:
42
5 m
area: 16 4
25 m2; perimeter: 173
5 m
area: 19 9
25 m2; perimeter: 173
5 m
area: 84
5m2; perimeter: 162
5 m
area: 16 4
25 m2; perimeter: 162
5 m
Fill in the blank with one of the words or phrases listed below.
equivalent least common multiple >
mixed number least common denominator <
unlike like exponent
A shorthand notation for repeated multiplication of the same factor is a(n) .
Perform the indicated operation. Simplify your answers.
Solve. Write the answer in simplest form.
Find the perimeter of the square. Recall that the perimeter of a figure is the distance around a
figure.
7
11 meter
Perform the indicated operation. Simplify your answers.
Harry cuts a board 11
7 feet long from one 16 feet long. How long is the remaining piece?
Insert < or > to form a true statement.
A plumber has a 12–ft piece of PVC pipe. He needs to cut the pipe into sections 8
11–ft long. How
many sections will he be able to cut from the pipe?
Use the order of operations to simplify the expression.
Insert < or > to form a true statement.
Solve. Write the answer in simplest form.
Find the perimeter of the parallelogram. Recall that the perimeter of a figure is the distance around
the figure.
6
20 inch
7
20 inch
Use the order of operations to simplify the expression.
Perform the indicated operation.
Solve. Write the answer in simplest form.
Find the perimeter of the scalene triangle, a triangle with all three sides a different length. Recall
that the perimeter of a figure is the distance around a figure.
1
13 meter 6
13 meter
9
13 meter
Find the perimeter of the triangle.
5
34 kilometer 13
28 kilometer
7
12 kilometer
Insert < or > to form a true statement.
Write the fraction as an equivalent fraction with the given denominator.
A wall in Alex and Carla Dinu’s garden is to be built using brick that is 43
8 inches wide and a
mortar joint that is 11
16 inch wide. Use the diagram to find the height of the wall.
Solve. Write the answer in simplest form.
Find the perimeter of the parallelogram.
3
4meter
1
5meter
Write the fraction as an equivalent fraction with the given denominator.
Fill in the blank with one of the words or phrases listed below.
equivalent least common multiple >
mixed number least common denominator <
unlike like exponent
The LCM of the denominators in a list of fractions is called the .
Write the fraction as an equivalent fraction with the given denominator.
On a recent trip, Asha drove 262 miles on 81
5 gallons of gasoline. Calculate how many miles per
gallon she gets in her vehicle.
D)
Insert < or > to form a true statement.
Find the least common multiple (LCM) of the list of numbers.
Perform the indicated operation. Simplify your answers.
Find the perimeter of the triangle.
8 feet 101
5 feet
121
3 feet
The donut below has the dimensions shown. What is measure of the outer diameter of the donut?
7
8 inch
1
4 inch
A sidewalk is built seven bricks wide by laying each brick side by side. How many inches wide is
the sidewalk if each brick measures 35
8 inches wide?
35
8 in.
Use the order of operations to simplify the expression.
Perform the indicated operation. Simplify your answers.
Find the average of the list of numbers.
Use the order of operations to simplify the expression.
D)
Find the average of the list of numbers.
Perform the indicated operation. Simplify your answers.
Perform the indicated operation. Simplify your answers.
Steve and Kim have put in a new tile entryway in their house. The tiles measure 12 ×12 in. and
have grout joints 1
4 in. wide. Use the diagram to find the width of the entryway.
Solve. Write the answer in simplest form.
A construction crew replaced 1
4 mile of sewer line in the process of updating a section of a road.
Another crew replaced 59
220 mile of sewer line while working on the same project. How much
longer was the sewer line that the second crew replaced?
Insert < or > to form a true statement.
Perform the indicated operation.
Find the least common multiple (LCM) of the list of numbers.
Perform the indicated operation. Simplify your answers.
Fill in the blank with one of the words or phrases listed below.
equivalent least common multiple >
mixed number least common denominator <
unlike like exponent
The symbol means is less than.
Use the order of operations to simplify the expression.
Perform the indicated operation. Simplify your answers.
Find the least common multiple (LCM) of the list of numbers.
Kim decided to do some spring cleaning. She spent 65
8 hours cleaning her garage on Saturday. The
next day she spent 73
8 hours cleaning her basement. What was the total amount of time she spent
cleaning that weekend?
Perform the indicated operation. Simplify your answers.
Fill in the blank with one of the words or phrases listed below.
equivalent least common multiple >
mixed number least common denominator <
unlike like exponent
The is the smallest number that is a multiple of all numbers in a list of numbers.
Write the fraction as an equivalent fraction with the given denominator.
Insert < or > to form a true statement.