Download Name Period__________ Group_____________ SHOW ALL

Name _____________________________ Period__________ Group_____________
SHOW ALL WORK
Date ________ Score ________
1. Change 0.4 into an equivalent percent.
Write the proportion for each set of similar shapes. Then find the value of x in each
pair of similar shapes.
3. MNO ~ PQR
2. ABC ~ DEF
B
N
7m
5m
Q
E
17 m
O
A
xm
C
M
10 m
22 m
51 m
R
xm
D
F
P
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Change 50% into an equivalent decimal.
Write the proportion for each set of similar shapes. Then find the value of x in each
pair of similar shapes.
2. ABC ~ DEF
B
7m
A
12 m
3. MNO ~ PQR
N
P
E
xm
C
15 m
xm
M
D
18 m
R
36 m
12 m
O
F
Q
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Change 0.6 into an equivalent fraction.
Write the proportion for each set of similar shapes. Then find the value of x in each
pair of similar shapes.
2. RNQ ~ MNO
3. ABC ~ DEF
D
18 m
N
10 yd
E
xm
C
x yd
35 m
Q
R
30 m
12 yd
M
O
15 yd
A
B
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Change 50% into an equivalent fraction.
Write the proportion for each set of similar shapes. Then find the value of x in each
pair of similar shapes.
2. ABC ~ FGH
20
A
3. ABC ~ FGH
B
10
C G
B
16
F
C
30
G
A
15
16
H
x
x
F
H
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Change 0.42 into an equivalent fraction.
Write the proportion for each set of similar shapes. Then find the value of x in each
pair of similar shapes.
2. HSA ~ MPA
S
4 mi
2 mi
H
A
3. JKL ~ MNP
K
M
N
20
6 mi
16
x mi
L
P
P
15
J
M
x
Name _____________________________ Period__________ Group_____________
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1.
Date ________ Score ________
 15 -  10
2. Simplify:  5
Find the selling price of each item.
3. Cost of socks: $19.50 Markup: 33% ____________________________
4. Cost of a cell phone: $100.00 Markup: 10% ________________________
5. Cost of a puppy: $349.99
Markup: 60% __________________________
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. -  3
2.  25 -  11
Find the selling price of each item.
3. Original price of an oil change: $15.00
4. Original price of a parrot: $110
Discount: 47% _________________
Discount: 22% ______________________
5. Original price of a motorcycle: $3,600.00
Discount: 50% _______________
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1.  14 -  1
2. Simplify:  44
Find the selling price of each item.
3. Original price of an oil change: $15.00
4. Original price of a parrot: $110
Tax: 6.8% _________________
Tax: 6.8% ______________________
5. Original price of a car: $24,500.00
Tax: 6.8% ___________________
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
3
1. Which number has a larger absolute value
or 0.48?
5
2. Simplify: 12 2
Find each percent change. Round to the nearest tenth of a percent.
3. From 98 to 51 ___________________________________________
4. From 57 to 71 ___________________________________________
5. From 80 to 5 ____________________________________________
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1.
81 =
2. Simplify:  5 +5 =
Find the selling price of each item
3. Cost of a notebook: $19.50
Markup: 33% __________________________
4.
Original price of a watch: $110
Discount: 22% ______________________
5.
Original price of a computer: $1,500.00
Tax: 6.8% ___________________
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Circle which names apply to -87.
counting
whole
integer
2. Write the proportion for each set
of similar shapes. Then find the
value of x in each pair of similar
shapes.
ABC ~ DEF
rational
B
6m
A
E
8m
12 m
xm
C
D
F
3. A set of landscape plans shows a
flower bed that is 8.5 inches wide.
The scale on the plans is 1 inch = 4
feet.
a. What is the width of the actual
flower bed?
b. What is the scale factor?
Name _____________________________ Period__________ Group_____________
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1. Insert “ < , = , or > “ to make a true statement.
4
4
[ ]
5
6
Date ________ Score ________
On a set of architectural drawings for an office building, the scale is ½ inch = 4 feet. Find
the actual length of each room.
Room
Drawing Distance
2. Lobby
2 inches
3. Library
4.1 inches
4. Storage
1.9 inches
5. Cafeteria
8.5 inches
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Estimate whether
1 1
 is closer to 0, ½, or 1.
16 11
On a set of architectural drawings for an office building, the scale is ½ inch = 6 feet. Find
the actual length of each room.
Room
Drawing Distance
2. Conference
Center
7 inches
3. Mail Room
2.3 inches
4. Copy Room
2.2 inches
5. Exercise
Room
3.75 inches
Name _____________________________ Period__________ Group_____________
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1. 12 x 8 =
Date ________ Score ________
2. -2 ÷ 26 =
3. In a scale model of a roller coaster, the highest hill has a height of 5 inches. If
the actual height of the hill is 210 feet, what is the scale of the model?
4. In an illustration of a dragonfly, the length of the dragonfly
is 4.8 centimeters. The actual size of the dragonfly is 2.7
centimeters. What is the scale of the drawing?
5. A garden is 12 feet wide by 20 feet long. Make a scale drawing of the garden
that has a scale of ¼ in = 2 feet.
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Write 842306 using scientific notation.
2. Write 0.0032738 using scientific notation.
3. What does it mean if the scale factor of a scale model or drawing is less than 1?
4. What does it mean if the scale factor of a scale model or drawing is greater than
1?
5. What does it mean if the scale factor of a scale model or drawing is equal to 1?
Name _____________________________ Period__________ Group_____________
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1. Write .312 as a percent.
Date ________ Score ________
2. What is half of -27364?
There are 12 inches in 1 foot. There are 5280 feet in a mile.
3. How many inches are in 2.5 foot?
4. How many inches in 3 miles?
5. How many inches in
3
of a mile?
4
Name _____________________________ Period__________ Group_____________
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1. -1.357+ (-864.2) =
2.
Date ________ Score ________
7 3
x =
9 7
There are 24 hours in one day.
3. How many days are in 144 hours?
4. How many hours are in a week?
5. How many hours are in the month of November?
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
7 3
1. - x =
9 7
2. Circle which names apply to (-.75): counting, whole, integer, rational.
3. How many seconds are in 24 hours?
4. What does 6 feet 6 inches look like as a decimal?
5. Two-thirds of 2 hours is how many minutes?
Name _____________________________ Period__________ Group_____________
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1. Simplify:  4   7 
Date ________ Score ________
2. Circle which names apply to zero: counting, whole, integer, rational.
3. There are 2 pints in a quart and 4 quarts in a gallon. How many pints are in 7
gallons?
4. Write 5
3
feet as inches.
4
5. Two-thirds of 2.5 hours is how many minutes?
Name _____________________________ Period__________ Group_____________
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1. Simplify:
Date ________ Score ________
4  7 
2. Circle which names apply to (-75): counting, whole, integer, rational.
The world’s largest baseball glove is 4 feet high, 10 feet long, 9 feet wide and weighs
15 tons. If 1 ft. = 30.48 cm., convert #3, #4 and #5.
3. What is the height in centimeters?
4. What is the length in centimeters?
5. What is the width in centimeters?
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
Estimate each square root to the nearest whole number. Do NOT use a calculator.
1.
60
7 cm
2.  149
3 cm
Two rectangles are shown. The ratio comparing their sides is 1:2.
3. Write the ratio that compares their perimeters.
4. Write the ratio that compares their areas.
14 cm
6 cm
5. Find the perimeter and area of a 3-inch by 5-inch rectangle. Then make a
conjecture about the perimeter and area of a 6-inch by 10-inch rectangle. Check
by finding the actual perimeter and area.
Name _____________________________ Period__________ Group_____________
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Simplify.
1. 2  81  3
2.
Date ________ Score ________
256  8  5
Determine whether each set of shapes or solids are similar.
3.
4.
5.
12 m
5 in.
4 in.
7.5 m
10 in.
3 in. 8 in.
6m
4m
6 in.
54 in.
9 in.
1.5 in.
9 in.
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
Simplify each solution.
1.  19
2.   14
3. The two cylinders are similar. Find the
radius of cylinder B.
8 cm
x
4. If cylinder A has a surface area of
703.72 cm2, use similarity to find the
surface area of cylinder B.
6 cm
4.5 cm
Cylinder B
Cylinder A
5. If cylinder A has a volume of 1206.37
cm3, use similarity to find the volume
of cylinder B.
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
Simplify.
3 7


1.
8 12
2.
5 6
 
21 7
Find the missing measure for each pair of similar solids.
3.
4.
10 in.
12 m
7.5 m
5 in.
6m
x
3 in.
7 in.
6 in.
5.
54 in.
x.
1.5 in.
x
9 in.
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. The quotient of two negative numbers is always _____________________.
Determine whether each pair of solids is sometimes, always, or never similar. Explain.
2. two cubes
3. two prisms
4. a cone and a cylinder
5. two spheres
Name _____________________________ Period__________ Group_____________
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1.
6.2 + 0.47 + 102.5 =
Date ________ Score ________
2. Finish the pattern: 100, 50, 25, ____ , ____ , _____ .
3. Name the property: (a + b) + c = a + (b + c) ____________________
4. True or False
(3 + 1) + 5 = 3 + (1 + 5)
5. True or False
(3 + 1x) + 5x = 3 + (6x)
is the same as
4+5=3+6
Name _____________________________ Period__________ Group_____________
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1.
Date ________ Score ________
45 9

50 x
2. Finish the pattern: 100%, 50%, 25%, ____ , ____ , _____ .
3. Name the property: (a + b) + c = c + (a + b) ____________________
4. True or False
(3 + 1) + 5 = 5 + (3 + 1)
5. True or False
(3 + 1) + 5a = 5a + 4
is the same as
4+5=5+4
Name _____________________________ Period__________ Group_____________
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1.
Date ________ Score ________
b
3

27 9
2. Finish the pattern: 1, .5, .25, ____ , ____ , _____ .
3. Name the property: ac + bc = c(a + b) ____________________
4. Distribute: 7( a + 3) = ____________________
5. Distribute: (9a + 5b+ c)4 = _____________________________
Name _____________________________ Period__________ Group_____________
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1.
Date ________ Score ________
121 =
2. Finish the pattern: 1,
1 1
,
, ____ , ____ , _____ .
2 4
3. Name the property: 45 • 13 = 13 • 45 _______________________
4. True or False
The commutative property also works for subtraction.
5. True or False
25 – 10
is the same as
-10 + 25
Why?
Name _____________________________ Period__________ Group_____________
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1.
Date ________ Score ________
625
2. Finish the pattern:
1
1
1
,
,
, ____ , ____ , _____ . (Simplify)
100 50 25
3. Name the property: (5 • 6) • 7 = 5 • (6 • 7) ____________________
4. True or False:
57 - 14 = 14 - 57
Rewrite before final solution.
5. 3x + 4 + 8x -4 = ________________________ = ________
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
Find the selling price of each item.
1. Cost of socks: $12.00 Markup: 33% ____________________________
2. Cost of a cell phone: $150.00 Markup: 10% ________________________
Use the picture on the right to answer the following questions.
3. Describe the pattern that
you see in the above
sequence of figures.
4. Assuming the sequence
continues in the same way,
how many dots are there
at 3 minutes? 10 minutes?
5. How many dots are there at 100 minutes? t minutes?
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
Find the selling price of each item.
1. Original price of an oil change: $45.00
2. Original price of a parrot: $325.00
Discount: 47% _________________
Discount: 22% ____________________
Write the next three terms of each sequence.
3. 8, 5, 2, -1, -4, _____ , _____ , _____
4. 1, 3, 9, 27, 81, _____ , _____ , _____ ,
5. 6, 8, 12, 18, 26, _____ , _____ , _____
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
Find the selling price of each item.
1. Original price of an oil change: $15.00 Tax: 6.8% _________________
2. Original price of a parrot: $110 Tax: 6.8% ______________________
The figures below are made up of light and dark tiles. For this situation, the pattern
goes as follows: for 1 dark tile, 8 light tiles are needed, for 2 dark tiles, 10 light tiles
are needed and so on.
3. Using the geometric model above, to determine the number of light tiles needed for
3 dark tiles.
4. How many light tiles for 10 dark tiles?
5. For 100 dark tiles? For n dark tiles?
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
Find each percent change. Round to the nearest tenth of a percent.
1. From 98 to 51 ___________________________________________
2. From 57 to 71 ___________________________________________
Write the next three terms of the sequence. Then state whether each sequence is
arithmetic, geometric, or neither.
3. 4, 9, 14, 19, …
4. 32, 8, 2, ½, …
5. -5, -5, -2, 3, …
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
Find each percent change. Round to the nearest tenth of a percent.
1. From 89 to 15 ___________________________________________
2. From 75 to 79 ___________________________________________
Aly decides to save 4 pennies each day in a penny jar. To start, her mother gives her a
jar that already has 5 pennies inside.
3. How many pennies will Aly have at the end of day 1?
4. How many pennies will Aly have at the end of day 3? Day 5?
5. How many pennies will Aly have at the end of day 10? Day d?
Name _____________________________ Period__________ Group_____________
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1. Change 0.36 to a fraction in simplest form.
2. Change
Date ________ Score ________
3
into a decimal.
5
Write each as an algebraic expression.
3.
7 more than n ____________________
4.
5.
The difference between 16 and x __________________
x squared ________________
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Name the property: 4 • 2 = 2 • 4 _______________________
2. Change 1.01 to a fraction in simplest form.
Write each as an algebraic expression.
3.
n decreased by 8 _______________
4.
9 less than d ________________
5.
the difference of 5 and c _______________
Name _____________________________ Period__________ Group_____________
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1. Change 0.002 to a fraction in simplest form.
2.
Date ________ Score ________
70 is between which two whole numbers?
Write each as an algebraic expression.
3.
The product of 4 and g ___________________
4.
The quotient of x and 6 __________________
5.
The quotient of 49 and x _________________
Name _____________________________ Period__________ Group_____________
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1. -2-(-4) =
2.
Date ________ Score ________
49 =
Write each as an algebraic expression.
3.
a number divided by 8 ___________________
4.
6 times a number ___________________
5.
a number decreased by 9 _________________
Name _____________________________ Period__________ Group_____________
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1. 84% as a fraction in simplest form.
Date ________ Score ________
2. Change 0.36 to a percent.
Write each as an algebraic expression.
3.
the sum of d and 11 ___________________
4.
the product of d and 11 ________________
5.
p cubed _________________
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
There are 12 inches in 1 foot. There are 5280 feet in a mile.
1. How many inches are in 3.5 foot?
2. How many inches in 2 miles?
Evaluate each expression if a = 5, b = 12, and c = 4.
3. b + 6
4. 18 – 3c
5. 5a – (b – c)
Name _____________________________ Period__________ Group_____________
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There are 24 hours in one day.
1. How many days are in 240 hours?
2. How many hours are in a month?
Evaluate each expression.
2
3. 8  3  3  7


7
4. 6  1 3  3
5.
 8  5   10  2
Date ________ Score ________
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. There are 2 pints in a quart and 4 quarts in a gallon. How many pints are in 7 gallons?
2. Write 5
3
feet as inches.
4
Evaluate each expression if a = 7, b = 9, c = 2, and d = 5.
3. a + b – (c + d)
4. bcd
5. a + b – 3d
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Two-thirds of 2 hours is how many minutes?
2. Two-thirds of 2.5 hours is how many minutes?
Find each product or quotient. Express using exponents.
3. a  a 5
4.
x3
x
 
 3x 2 4 x 3
5.
6x4
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. How many hours are in the month of November?
3
2. How many inches in
of a mile?
4
Evaluate each expression if w = -2, x = 3, and y = -1.
3. x-4
4. 8w
5. (xy)
-6
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. (2+ 7b)8 =
2. 5(3x + 4y + 5z) =
3. 2(4 – 4 r) = -8
4. 4(5x + 2) = 8
5. 8(3n + 5) = 64
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. What does it mean if the scale factor of a scale drawing is less than 1?
2. What does it mean if the scale factor of a scale drawing is greater than 1?
3. 8(6 + 6k) -4 = -52
4. -8(-7 + 4r) = -40
5. 6(6 + 8x) -4 = 32
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1.
7 x

4 8
2.
5 3

12 x
x = __________
x = __________
3. 30 = 5(x + 6) -8x
4. 49 = 7(6x + 1)
5. -10 = -(-4 + 2n) +4n
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Rectangle #1 has a length of 10 and a width of 3.5. Rectangle #2 has a
length of 20 and a width of ________________ .
2. Write a proportion for the above problem. ____________________
3. 3(2x + 3) > 29 + x
4. 19 + b < -2(1 – 2b)
5. -3 + 6x ≥ 3x + 4(7 – 7x)
Name _____________________________ Period__________ Group_____________
SHOW ALL WORK
Date ________ Score ________
1. Write a proportion for the triangles on the right.
2. What is the scale factor used to enlarge the
smaller triangle to make the larger one?
28
42
x
3. -23 – 2x ≥ -(5 + 8x)
4. -28 + 4m = 8(2m + 1)
28.5
5. -8(1 + 4n) < (3n – 8)
Name _____________________________ Period__________ Group_____________
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1. True or False
(3 + 1) + 5 = 3 + (1 + 5)
2. True or False
(3 + 1x) + 5x = 3 + (6x)
Date ________ Score ________
is the same as 4 + 5 = 3 + 6
Graph each point on a coordinate system.
3. A(3, 3)
4. D(1, -4)
5. G(-2, 5)
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Name the property: (a + b) + c = a + (b + c) ____________________
2. Name the property: (a + b) + c = c + (a + b) ____________________
Refer to the coordinate system shown at the right. Write the ordered pair that names
each point.
3. C
J
4. J
5. N
C
N
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. True or False
(3 + 1) + 5 = 5 + (3 + 1)
2. True or False
(3 + 1) + 5a = 5a + 4
is the same as
4+5=5+4
Name the ordered pair for each point graphed at the right.
3. A
4. M
A
M
5. D
D
Name _____________________________ Period__________ Group_____________
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Distribute.
1. 7( a + 3) =
Date ________ Score ________
2. (9a + 5b+ c)4 =
Graph and label each point on a coordinate plane. Name the quadrant in which each point
is located.
3. J(3, -4)
4. K(-2, 2)
5. L(0, 4)
Name _____________________________ Period__________ Group_____________
SHOW ALL WORK
Date ________ Score ________
1. Name the property: 45 • 13 = 13 • 45 _______________________
2. Name the property: (5 • 6) • 7 = 5 • (6 • 7) ____________________
On a coordinate plane, draw triangle ABC with vertices at A(3, 1), B(4, 2), and C(2, 4).
Then graph and describe each new triangle formed in problems #3 - #5.
3. Multiply each coordinate of the vertices in triangle ABC by
-1.
4. Add 2 to each coordinate of the vertices in triangle ABC.
5. Subtract 4 from each coordinate of the vertices in triangle
ABC.
Name _____________________________ Period__________ Group_____________
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1. 4 yards = ________ feet
Date ________ Score ________
2. 1.6 x 8.4 =
Write an algebraic expression that represents the relationship in each table.
3. ________________
4. ________________ 5. ________________
Age Now Age in 3
Number Total
Regular
Sale
years
of items Cost
Price
Price
10
13
5
25
$12
8
12
15
6
30
$15
11
15
18
8
40
$18
14
20
23
10
50
$24
20
x
?
n
?
$p
?
Name _____________________________ Period__________ Group_____________
SHOW ALL WORK
Date ________ Score ________
1. Express this ratio as a unit rate. $3 for 6 cans of soup.
7 5


9 12
Make a table with ordered pairs and then graph them to show the growth of a plant
that grows 2 feet in one day. x = days y = feet
3.
4.
x
y
(x, y)
1
2
(1. 2)
2
2.
5. Describe the graph _______________________
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. Solve: 10x = 300
2. Solve: 231 = 33n
Look at the graph at the bottom right to answer #3,#4, and #5. Three schools
took tests at the end of each quarter. These are their average scores.
3. Which school did the best 1st
100
quarter? __________________
90
80
4. Which school made the most
70
improvement? _______________
60
East
50
West
5. What do you notice about the
40
North
30
scores for the North school?
20
__________________________
10
0
__________________________
1st Qtr 2nd Qtr 3rd Qtr 4th Qtr
Name _____________________________ Period__________ Group_____________
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Date ________ Score ________
1. the product of eight and seven equals ________ .
2. the difference of nine and three equals _________.
If
= negative and
= positive,
Write an equation for each picture.
3. ___________________________
4. ___________________________
5. ___________________________
Name _____________________________ Period__________ Group_____________
SHOW ALL WORK
1. 61 – 15 + 3 = 43
Date ________ Score ________
Insert parentheses to make the sentence true.
2. 62 – 24 x 2 Which operation is done first? _______ Solution = _________
Write an expression in simplest form that represents the total amount in each
situation.
3. You bought 6 folders that each cost x dollars, a calculator for $45, and a set
of pens for $3. _____________________________
4. Suppose you buy 3 shirts that each cost s dollars, a pair of shoes for $29.95,
and jeans for $30. _____________________________
5. Today is your friend’s birthday. She is y years old. Her sister is 5 years
younger. __________________________________