LAP 8 Entry Quizzes
Whole Number Operations
Simplify each expression
1) 8 + 116 + 43
2) 2431 – 187
3)204 . 38
4)6447 ÷ 21
____________________________
Whole Number Operations 2
Simplify each expression
1) 289 + 228
2)291 – 97
3)65 . 28
4)462 ÷ 3
Whole Number Operations 3
Simplify each expression
1) 6131 . 30
2)672 ÷ 28
Area of a Circle
1) Suppose the circumference of a circle is 4π.
What is its area?
Area of a Circle 2
1) Suppose the circumference of a circle is 2π.
What is its area?
Area of a Circle 3
1) Suppose the area of a circle is π. What is its
circumference?
Area of a Circle 4
1)Suppose the diameter of a circle is 2. What is
its area?
Area of a Circle 5
Suppose the circumference of a circle is 16π. What
is its area?
Area of a Circle 6
Suppose the area of a circle is 64 π. What is the
diameter?
Area of a Circle 7
Suppose the radius of a circle is 8. What is its area?
Area of a Circle 8
Suppose the area of a circle is 25π. What is its
circumference?
Area of a Circle 9
Suppose the diameter of a circle is 12. What is its
area?
Area of a Circle 10
Suppose the area of a circle is 16π. What is its
diameter?
Area of a Circle 11
Suppose the diameter of a circle is 8. What is its
area?
Area of a Circle 12
Suppose the circumference of a circle is 14π. What
is its area?
Area of a Circle 13
Suppose the radius of a circle is 7. What is its area?
Area of a Circle 14
Suppose the diameter of a circle is 4. What is its
area?
Area of a Circle 15
Suppose the area of a circle is 64π. What is its
radius?
Area of a Circle 16
Suppose the radius of a circle is 8. What is its area?
Area of a Circle 17
Suppose the area of a circle is 64π. What is its
circumference?
Area of a Circle 18
Suppose the diameter of a circle is 16. What is its
area?
Evaluating Expressions with Variables Word
Problems
Each of the four sides of your school has the shape of a square: there
are x floors to the building and x windows per side of each floor. Your
school’s janitor just told you that the mathematical expression which
describes the total number of windows at the school is 4x2.
What is the number of windows if your school has x = 5 floors?
Evaluating Expressions with Variables Word
Problems 2
Diana is considering making an investment with a company which
offers a return rate of 7% per year. If she invests an initial sum of S
dollars, her investment will grow according to the formula S . (1.07)n
where is n is the number of years.
What will be the value of Diana’s investment if she invests $10,000 for
4 years? Round to the nearest cent.
Evaluating Expressions with Variables Word
Problems 3
The price for your annual visit at the dentist is calculated according to
the formula 50 + 100n, where n is the number of cavities the dentist
finds.
What will be the cost of the visit if the dentist finds 2 cavities?
Evaluating Expressions with Variables Word Problems 4
A rectangular prism with length l, width w, and height h has volume
V=lwh.
Find the volume of a prism which has a base of 5 meters by 3 meters,
and a height of 4 meters.
Volume Word Problems with Fractions
The bamboo-shark at the Shark World Aquarium is a right rectangular
prism 3.5 m long by 2 m wide. When a bridge is fully submerged in the
tank, the water in the tank is 0.80 m high. When the bridge is removed,
the water level drops to a height of 0.78 m.
What is the volume of the bridge?
Round your answer to the nearest hundredth.
Volume Word Problems with Fractions 2
Rosio’s mother is making flan for dessert on Rosio’s birthday. The
recipe makes 3600 cm3 of flan. Her mother’s largest pan is a right
rectangular prism 26 cm long by 19.5 cm wide by 7 cm deep, which is
not the right size.
How big is the difference between the volume of the pan and the
volume of the flan?
Volume Word Problems with Fractions 3
Every winter, the community center converts its outdoor pool into a
skating rink. The pool is a right rectangular prism 14.2 m long by 7.1 m
wide. After the water beneath the pool cover freezes, more water is
added above the pool cover to a depth of 0.10 m to form the skating
rink.
What volume of water is added to create the skating rink?
Round your answer to the nearest tenth.
Volume Word Problems with Fractions 4
The Ricardos’ new backyard pool is a right rectangular prism 24.4 m
long by 20 m wide. The Ricardos needed 858.88 m3 to fill the pool 4/5
of the way to the top.
How deep is the pool?
Round your answer to the nearest tenth.
Volume Word Problems with Fractions 5
Noah made a sandbox for his children. The sandbox is a right
rectangular prism 3.4 m wide by 2.5 m long by 0.20 m deep. Noah
wants to fill the sandbox to 0.02 m from the top with sand.
How much sand should Noah put into the sandbox?
Round your answer to the nearest tenth.
Volume Word Problems with Fractions 6
Cristian put a large rock on the bottom of the terrarium he made for his
pet turtle. The rock is a right rectangular prism 10 cm wide by 12 cm
long. The rock displaces 1800 cm3 of water.
How high is the rock?
Volume Word Problems with Fractions 7
Jeremy bought an aquarium for his bedroom. The aquarium is a right
rectangular prism 50 cm long, 25.4 cm wide, and 56 cm deep. He wants
to fill ¾ of the aquarium with water.
What volume of water should Jeremy put into the aquarium?
Volume Word Problems with Fractions 8
Marcia is making a three-layer cake for the senior bake sale. The layers
will be right rectangular prisms, each smaller than the next. The first
two pans are filled with cake batter. The third pan is 20.2 cm long by
20.2 cm wide by 5.5 cm deep. It contains 1020.1 cm3 of batter.
The batter is __________ cm from the top of the pan.
Volume Word Problems with Fractions 9
Martene got a small aquarium for her birthday. The aquarium is a right
rectangular prism 18.5 cm long by 15 cm wide. Martene put 3885 cm3
of water in the aquarium.
How deep is the water in the aquarium?
Volume Word Problems with Fractions 10
Craig’s terrarium is a right rectangular prism 23.2 cm long by 19 cm
wide. Craig wants to add a layer of sand 2.8 cm deep. He has 1200 cm3
of sand, which is not the right amount.
How big is the difference between the volume of sand Craig needs
and the volume of sand Craig has?
Volume Word Problems with Fractions 11
The Cleaver family is having a patio installed. The patio floor will be 12
m long by 8.3 m wide by 0.2 m deep. The cleavers have 18 m3 of
concrete for the patio floor, which is not the right amount.
How big is the difference between the volume of the patio floor and
the volume of concrete?
Volume Word Problems with Fractions 12
Whitney is making a strawberry cake for her brother’s birthday. The
cake pan is a right rectangular prism 20 cm wide by 28 cm long.
Whitney puts 1848 cm3 of batter into the pan.
How deep is the cake batter?
Round your answer to the nearest tenth.
Volume Word Problems with Fractions 13
One way to make custard is to bake it in small dishes that are placed in
a pan of water. Marcus has a pan that is a right rectangular prism
measuring 23.8 cm wide by 33 cm long by 4 cm deep. He fills the pan
halfway with water. The custard containers displace 2000 cm3 of
water.
How big is the difference between the volume of the pan and the
total volume of the water plus the custard containers?
Volume Word Problems with Fractions 14
The YMCA lap pool is a right rectangular prism 36.8 m long by 20 m
wide. The pool contains 1472 m3 of water.
How deep is the water in the pool?
Round your answer to the nearest whole number.
Volume Word Problems with Fractions 15
The school’s new sandbox is a right rectangular prism 35 m long by 20.4
m wide. The sandbox contains 285.6 m3 of sand.
How deep is the sand in the sandbox?
Round your answer to the nearest tenth.
Volume Word Problems with Fractions 16
Luke’s freshwater fish tank has a 1.4 cm layer of sand at the bottom.
The tank is a right rectangular prism 45 cm long, 25.4 cm wide, and 35
cm deep.
What percent of the tank is filled with sand?
Volume Word Problems with Fractions 17
Martene got a small aquarium for her birthday. The aquarium is a right
rectangular prism 18.5 cm long by 15 cm wide. Martene put 3885 cm3
of water in the aquarium.
How deep is the water in the aquarium?
Volume Word Problems with Fractions 18
Marco’s aquarium is a right rectangular prism 50 cm long by 23.5 cm
wide by 36 cm deep. The water depth is 4/5 the height of the
aquarium.
Marco wants to put in a bridge that will displace 10,000 cm3 of water.
How big is the difference between the volume of the aquarium and
the total volume of the water plus the bridge?
Volume Word Problems with Fractions 19
Jon is making a carrot cake for his mother’s birthday. The cake batter
fills a 20 cm by 28.5 cm by 4 cm pan 2/3 of the way. He wants to
transfer the batter to a 25 cm by 25 cm by 3 cm pan.
How big is the difference between the volume of the new pan and the
volume of the cake batter?
Volume Word Problems with Fractions 20
The neighborhood’s outdoor basketball court is a right rectangular
prism 22.5 m long by 12.8 m wide. To convert the court into a hockey
rink, 4.32 m3 of water is poured inside a raised wooden frame that is
installed along the edges of the court in the winter.
How deep is the water inside the frame?
Round your answer to the nearest hundredth.
Volume Word Problems with Fractions 21
Every winter, the city park converts its outdoor pool into a skating rink.
The pool is a right rectangular prism 16.5 m long by 6.2 m wide. After
the water beneath the pool cover freezes, more water is added above
the pool cover to a depth of 0.08 m to form the skating rink.
What volume of water is added to create the skating rink?
Round your answer to the nearest hundredth.
Identifying Parts of Expressions
1. What is the coefficient of the term 9y in the expression 5 + 9y?
2. Complete the statement to describe the expression abc + def
The expression consists of ____ terms, and each term contains
____ factors.
Identifying Parts of Expressions 2
1. What is the coefficient of the term 10x in the expression 10x + 8?
2. The heights of three students in inches are a, b, and c.
What is true about the expression 1/3(a + b + c)?
Select all that apply
a) It’s less than the sum of the heights?
b) It’s the sum of the heights divided by 3.
c) It’s the sum of the heights multiplied by 1/3
d) It’s more than the sum of the heights.
Identifying Parts of Expressions 3
1. Which of the following choices describes 9c in the expression
9c + 4y + 3a?
Select all that apply
a) A term in this expression
b) A coefficient of c in this expression
c) A sum in this expression
2. Complete the statement to describe the expression
3. (a + b + c)(d + e + f)
Fill in the blanks with numbers.
The expression consists of ____ factors, and each factor
contains ___ terms.
Identifying Parts of Expressions 4
1. Complete the statement to describe the expression
(a + b + c + d)(e + f + g + h)
Fill in the blanks with numbers
The expression consists of ____ factors, and each factor
contains ____ terms.
2. How many terms are in the expression 4 – 8a?
Identifying Parts of Expressions 5
1. Complete the statement to describe the expression
ab + cd.
Fill in the blanks with numbers.
The expression consists of ____ terms, and each term
contains ____ factors.
2. How many terms are in the expression 2a + 5?
Positive exponents with positive and negative bases
1. (-1)(-1)(-1)(-1)(-1) = ?
a) 5-1
b) (-1)5
c) -1-1
d) None of the above
2. 03=?
a)
0.0.0
b)
1
c)
0+3
d) None of the above