Download SOL Review

SOL Review
Table of Contents
WEEK 1: SOL 7.1 Fractions, Decimals, Percents, Scientific Notation
WEEK 2: SOL 7.3 Integers
WEEK 3: SOL 7.16 Properties
WEEK 4: SOL 7.13 Expressions
WEEK 5: SOL 7.2 Sequences
WEEK 6: SOL 7.14 Two-Step Equations
WEEK 7: SOL 7.15: Inequalities
WEEK 8: SOL 7.12 Functions
WEEK 9: SOL 7.8 Transformations
WEEK 10: SOL 7.7 Geometry (Quadrilaterals) & 7.5(Surface Area & Volume)
WEEK 11: SOL 7.4 & 7.6 Proportions / Consumer Math
WEEK 12: SOL 7.9 & 7.10 Probability
WEEK 13: SOL 7.11 Statistics
SOL Review
WEEK 1: SOL 7.1 Fractions, Decimals, Percents, Scientific Notation
3
21
1) What percent is equivalent to 5
2) What decimal is equivalent to 25 ?
3) What fraction is equivalent to 24%?
4) What decimal is equivalent to 6.8%
7
4
5) Which number is greater? 10 𝑜𝑟 80%
6) Which number is less? 45% or 5
7) List the numbers in order from least to
greatest.
13
0.08, 20, 70%
8) List the numbers in order from greatest to
least.
5
17
50%, , 0.56,
6
25
9) What number is equivalent to 2.5 𝑥 10−3 ?
10). Insert >, <, 𝑜𝑟 = to make the statement
true.
2.51 𝑥 106 _______8.32 𝑥 104
SOL Review
WEEK 2: SOL 7.3 Integers
1) 2 • 8−4÷4 =
2) Draw a model for this equation:
2 + (- 5) = _____

3) |10 - 47| =
4) -64
5) Draw a model for this equation:
-5+4=
6) |-1 - 9| - |-46 + 50| =
7) 4 – 18
8) -13(3)
9) The highest temperature ever recorded on Earth
was 136°F in Libya. The lowest temperature was 129°F in Antarctica. What is the range of the highest
and lowest temperatures on Earth?
10) A diver dives down 75 feet below sea
level, and then rises up 20 feet. How deep is
the diver below sea level?
11) If the temperature is -8F and by lunch the
temperature had risen 23F. What was the
temperature at lunch time?
12) A tour group began the day at 400 feet
below sea level. At the end of the day they had
gained 2000 feet in elevation. How far above
sea level was the tour group?
(-8)
SOL Review
WEEK 3: SOL 7.16 Properties
1) What real number property of multiplication
is shown in this equation?
3 • 11 • 10 = 3 • 10 • 11
3) Name the below property.
(5 ∙ 17) ∙
1
2) Which sentence illustrates the additive
identity property
a) -15 + 15 = 0
b) -15 + 0 = -15
c) -15 + 1 = -14
4) Which sentence illustrates the distributive
property?
1
= 17 ∙ (5 ∙ 5)
5
5) Which sentence illustrates the multiplicative
inverse property?
a) (3 + 19) + 12 = 3 + (19 + 2)
b) (9 + 21)5 = 9 • 5 + 21 • 5
c) (8 • 7) • 3 = 3 • (8 • 7)
6) Which sentence illustrates the multiplicative
property of zero?
a) 3 • 3 = 1
b) 3 • 1 = 3
c) 3 • (-3) = -9
a) 4 • -4 = -16
1
b) -4 • 4 = -1
c) 4 • 0= 0
7) Show how the associative property of
addition could be used to simplify the problem.
8) Which sentence illustrates additive
inverse property?
(12 + 16) + 24
a) 3 + (-3) = 0
b) 12 +1 = 12
1
c) 2 + 2 = 1
9) Use distributive property to simplify the
expression.
10) Create a sentence illustrating multiplicative
inverse property?
1
𝟑(𝟑 − 𝟔)
SOL Review
WEEK 4: SOL 7.13 Expressions / Order of Operations
1) Write an algebraic expression to represent
the word expression.
2) Write an algebraic expression to represent
the word expression.
The quotient of sixteen and twice a number.
Four times the sum of a number
3) Write an algebraic expression to represent
the word expression.
4) Write an algebraic expression to represent
the word expression.
Six times the sum of twelve and a number is
seventy-three.
The quotient of a number and five is negative
three.
5) Write an algebraic expression to represent
the word expression.
6) Solve.
3 + 22 (1 + 8)
The product of seven and a number is equal to
three times the number and six.
7) Simplify
8) Simplify
100 – 4( 7- 4)2
9) Simplify
4x + 3 – 2x -10
10) Simplify
𝟑(x − 5) − 12 + 2x
11) Simplify
7d + 3cd + 5c – 8 – 2𝑐 2
for c = 2, d= -1
−3 + 5x − (−7x) + 11 + 2
12) Simplify
(-7 – 3x) 5
SOL Review
WEEK 5: SOL 7.2 Sequences
1) Write the 7th number in the sequence.
2) Write the 12th number in the sequence.
1, 6, 11, 15, …
85, 79, 73, 67, …
Write the rule that produces the sequence
3) How many dots would be in Set 7?
Set 1
Set 2
Set 3
Set 4
















5) Find the next term and determine if the
Write a rule that produces the pattern
4) Find the next term and determine if the
sequence is arithmetic, geometric, or neither.
4.5, 4, 3.5, 3, 2.5, ___________
6) Find the 5th term in the sequence
sequence is arithmetic, geometric, or neither.
0.1, 0.3, 0.9, 2.7, __________
7) Find the 8th term in the sequence
56, 53, 49, 44, ...
19, 31, 43, ...
8) Create your own arithmetic or geometric
sequence below. Then describe the pattern
and the rule.
SOL Review
WEEK 6: SOL 7.14 Two-Step Equations
𝑥
1) -6x -12 = -60
2)
3) -12 + 3x = 3
4) 14 – 6y = 44
5
– 12 = -7
5) 2 𝑥 − 2 = 12
6) 4x + 6 +8x = 42
7) 3(x-5) = 15
8) –x + 7 = -21
9) 2x – 4 = 10
10) −3𝑥 - 1 = -10
3
=
=
SOL Review
WEEK 7: SOL 7.15: Inequalities
1) Solve & graph the Inequality
𝑥 − (−7) ≤ 3
3) Solve & graph the Inequality
𝑥
7
< −3
5) Solve & graph the Inequality
−13 > 𝑥 − 3
2) Solve & graph the Inequality
-2x ≥ 16
4) Solve & graph the Inequality
−3x ≤ −27
6) Solve & graph the Inequality
𝑥
12 < −4
SOL Review
WEEK 8: SOL 7.12 Functions
1) Fill in the table of values for the given
equation.
𝑦 = 3𝑥 − 1
X
2) Find the next value in the table.
X
1
2
3
4
11
Y
8
9
10
11
??
Y
Write the rule that produces the pattern
1
2
3) Is this a function?
3
{(-2, 3) (4, 5, 6) (-2, 9) (12, 12)}
4
4) How many dots would be in Set 7?
Set 1
Set 2
Set 3
Set 4
















6) Write the next value of y in the table.
X
1
2
3
4
16
Y
4
8
12
16
??
5) List the domain and range.
X
Y
3
6
2
7
1
8
-3
5
Domain: __________________
Range: ____________________
7) Write the 7th number in the sequence.
85, 79, 73, 67, …
Write the rule that produces the sequence
SOL Review
8) The YMCA charges for a membership of
$25 per month, plus $3 for every guest you
bring. Write a function using two variables
for the situation.
9) Create a function table and rule for the
graph below.
X
10) Write the rule for the given
values.
X
Y
-3
7
-2
4
-1
1
0
-2
Rule: ________________________
table of
Y
SOL Review
11) Gordon earns money during the summer cutting grass. He charges each
customer a one-time fee of two dollars for gasoline. He also charges three
dollars for every square meter of grass he cuts.
Create an equation, function table, & graph for the situation above. Let 𝑥
represent the number of square meters Gordon cuts and 𝑦 represent his
total earnings.
X
Equation: _______________________________
Y
SOL Review
WEEK 9: SOL 7.8 Transformations
1) Triangle XYZ has vertices X(-4, 5), Y(-1, 3), and Z(-2, 0). Find the vertices of XYZ after
each translation. Then graph the figure and its translated image.
a)
5 units down
b)
4 units right, 3 units down
2) Graph the image of the figure
3) Graph the image of the figure after a
after a rotation of 90° clockwise.
rotation of 180° clockwise. T′(4, 2), Z′(4,
4) Graph the image reflecting across the yaxis.
5) Graph the image reflecting across the xaxis.
SOL Review
6) Graph the triangle with vertices A(0,1),
B(1,1), C(1,-2); then dilate by 3.
7) Graph the rectangle with vertices D(-2,2),
E(1,2), F(1,-3) and G(-2,-3); then dilate by 2.
SOL Review
WEEK 10: SOL 7.7 (Quadrilaterals) & 7.5 Geometry (Surface Area, Volume)
1) Find the volume & Surface Area.
2) Find the volume & Surface Area.
16 in
V: ____________
V: ____________
17 cm
23 in
4 in
SA: ____________
3) A cylindrical glass is 12 inches tall. The
radius of the base is 4.5 inches. If the glass is
full, how many cubic inches of liquid does it
hold? Round to the nearest tenth.
5) A vinyl covers the inside walls and bottom
of the swimming pool shown below. The
radius is 14 ft and the height is 10ft. Find the
surface area of the sides and bottom the liner.
SA: ____________
3.5 cm
4) A fruity Pebbles cereal box is 1
1
inches
4
3
wide, 4 inches long and 10 inches tall How
5
much cereal can the box hold?
6) Name the best word that describes this
shape.
SOL Review
7) List all the words that describe this shape.
8) Name the best word that describes this
shape.
9) True or False
10) True or False
All trapezoids are parallelograms and
quadrilaterals.
11) Find the missing angle measure.
95°
X°
All rectangles are squares.
12) Find the missing angle measure.
80°
X°
60°
80°
100°
130°
SOL Review
WEEK 11: SOL 7.4 & 7.6 Proportions
1) What number is 80% of 50?
2) What number is 85% of 52?
3) What percent of 430 is 86?
4) The figures below have a ratio of 3:2. Find
the missing sides.
5) John was buying new school clothes at the
6) Mrs. Sauer’s class went to lunch at Ruby
mall. He had a 20% discount coupon for jeans. Tuesdays. The total bill came to $56.98. Tax is
The pair of jeans he wanted cost $35.00.
4.5% and they wanted to leave a 20% tip.
a) How much was the discount?
a) How much tax would be added to the bill ?
b) How much tip would be left?
b) How much did John pay for the jeans?
c) What is the total Mrs. Sauer’s class would
pay?
7) Manuel can paint 5 pictures in 12.5 hours.
At this rate, which proportion can be used to
find p, the number of pictures Manuel can
paint in 8 hours?
8) Of the 1225 animals at the zoo, 20% of them
are amphibians, 40% are reptiles, 15% are fish
and 25% mammals. List how many animals are
of each category.
SOL Review
9) Solve.
10) Solve.
𝟐. 𝟓 𝟕. 𝟓
=
𝟒. 𝟓
𝒓
𝟗
𝒃
=
𝟏𝟓 𝟏𝟎
11) Find the value of x ?
F
B
C
18 ft
X
12 ft
J
G
D
A
14 ft
12) Circle the similar figures.
H
13) ) A photograph is 4 inches wide by 6
inches long. If the photograph is enlarged so
that the length is 8 inches, how wide is the
enlarged photo?
SOL Review
12) Are the triangles equivalent?
13) Find the value of x.
Q
∆𝐸𝐹𝐺𝐻 ≅ 𝑆𝑉𝑈𝑇
∆𝐸𝐹𝐺𝐻 ≅ 𝑆𝑉𝑈𝑇
14 in
A
28 in
G
8 in
E
G
S
R
12in
9 in
V
6 in
B
S
C
F
x
6 in
H
U
G
T
SOL Review
WEEK 12: SOL 7.9 & 7.10 Probability
1) Jon puts all his marbles in a bag. He has 6
white, 4 green, and 3 blue. Without
replacing the first one, he takes a second
marble out of the bag. Find P(white, then
green).
2) Jeff has 4 pairs of blue jeans, 2 pairs of
khakis, and 3 pairs of black pants in a
drawer. He chooses one pair, puts them
back and chooses another. Find P(blue
jeans, then black).
3) P (not a D): ___________
6) Construct a tree diagram to illustrate all
the possible outcomes of combining a red,
black or blue blouse with navy, khaki, white,
or black pants.
4) P (consonant): ____________
5) P (not a vowel): ____________
7) A penny, a nickel and a dime are tossed.
How many possible outcomes are possible?
8) A family restaurant offers a choice of
seven appetizers, four salads, five entrees
and four desserts. How many different
dinner combinations are possible?
9) Toss a number cube (1-6) and spine a
five section spinner labeled A, B, C, D, and E.
What is the theoretical probability of tossing
a 4 and spinning a B? How does this
compare to the experimental result?
10) Three cards are chosen at random from
a standard deck of cards without
replacement. What is the probability of
getting 3 queens?
11) A number cube is rolled, and a penny is tossed. Find the each probability.
A) P (2 and heads) =
D) P (even and heads) =
B) P(1 or 2 and tails) =
F) P (odds and tails) =
C) P (divisible by 3 and tails) =
G) P (less than 7 and tails) =
SOL Review
WEEK 13: SOL 7.11 Statistics
1) Write an interpretation of the
information displayed in the graph.
2) The table shows the number of crates of
oranges sold by baseball team members.
Which measure of central tendency best
describes the data? Support your answer.
3) The histogram displays data on the
number of rentals at the local video store by
ages of the patron. Write an interpretation
of the information in the graph.
4) The stem-and-leaf plot shows scores on a
hundred-point quiz. As the instructor for the
class, how would you use the information to
plan your class for the next session?
5) The box-and-whisker plot shows the
number of hours a group of students spent
doing homework during a one-week period.
How would you describe their preparation?
6) The frequency table shows the number of
snacks sold from a vending machine at
school. How would you use the information
if you had the franchise for the machine and
must order 300 snacks for the next
restocking?
SOL Review
7) The line plot shows the average cost (in
dollars) of lunches at various restaurants.
Write an interpretation of the information
in the graph.
8) What relationship does the scattergram
show between the number of calories and
the grams of fat in one serving of some
candy bars? Explain your answer.
9) The scatter plot compares the amount of
gas remaining since the last fill up and the
distance traveled. Explain any relationship
between the gas remaining and distance
traveled.
10) Before placing an order for sandwiches
for a class trip, a survey was taken to get
information on students’ preferred snacks.
Students were given a choice of chips,
pretzels, granola bars, or trail mix.
11) Find the media of the data set.
Determine how many of each are ordered if
there are 225 students going on the trip.
12) Find the range of the data set.
25, 12, 32, 20, 23, 17, 34, 19, 26, 23, 29, 37
41, 32, 46, 18, 28, 42, 35
13) A student’s test grade for the quarter
were 80, 91, 90, 83, 80, and 88. What is the
difference between the mean and median?
14) Jeff’s grades on his math tests are 87,
85, 88, 95, 89 and 92. He hopes to get an
average grade of 89. What is the minimum
he must earn on the next test?
SOL Review
15) The median height of the twenty-five
students in Mrs. Baker’s class is 62 inches.
Two new students enter the class. Their
heights are 60 inches and 61 inches. What
effect will those measurements have on the
class median?
17) Members of the walking club recorded
their number of miles walked in a week’s
time for four weeks as shown in the chart
below.
16) Rosella kept a record of her monthly
savings for the year.
Jan $12
Feb $15
Mar $17
Apr $15
May $10
Jun $9
Jul $9
Aug $5
Sept $17
Oct $15
Nov $12
Dec $10
Construct a line plot.
18) Create a histogram from the data in
#17
Create a frequency table to display the data.
9
12
15
21
11
21
9
17
16
5
10
9
7
9
13
18
12
11
22
9
19) Create a stem-and-leaf from the data in
#17
20) Create a box-and-whiskers plot from
the data in #17
SOL Review