5 – 7 questions or 15% of SOL will be new form of questions:
Fill in blanks – Order of operation, Square Roots, Replacement values, practical problems
Area and perimeter of composite figures, surface area and volume
Drag and Drop Real number system
Changing one attribute of a figure 8.7
Describe, least to greatest (fractions, decimals, percent), ratios
Perfect squares
Volume and surface area of rectangular prism
Hot Spot
Graphs
transformations
Properties to solve equations
Domain, range, independent, dependent
3-D
Square Roots - Remember the square root of 25 has two answers
value
Multiple answers
Absolute
linear equations/equations, graph, table
Scatter plots
plot a point or points on a coordinate grid
Probability – graph on a number line. Percent, decimal/Fraction Remember
probability is between 0-1
2 or more answers
Absolute value
Square roots
Identify each number (implies that it could be more than one)
Measurements
Numbers
Wording on test to determine more than one answer:
“Choose each number”
Numbers
Measurements
Points
Square roots
One answer
“Choose the number” Not plural
Also, look at the directions. It might tell you how many to choose.
Number, Number Sense, Computation and Estimation (14)
8.1 Rational Numbers
IXL: B2 C8 D5 E2 E4 E6 F1 F2 F3 F 16
Order of operation PEMDAS (fill in the blanks)
Simplify numerical expressions
compare and order decimals, fractions, percent, and numbers written in scientific notation. (drag)
IXL: D7 D8 G1 G2 H 2 J1, 2, 8
Ascending order – Numbers are said to be in ascending order when they are arranged from the smallest
to the largest number.
5, 9, 13, 17 and 21 are arranged in ascending order
Descending order – Numbers are said to be in descending order when they are arranged from the
largest to the smallest number.
25, 21, 17, 13 and 9 are arranged in descending order
Properties: (hot spot) Which property is used in the equations?
Which list is ordered from least to greatest?
Place the following in order from greatest to least
A, 3 x 102, 3/5, 1/3, .33, 30%
7.06 x 102
3.99 x 104
1.56 x 107
2.4 x 105
B
30%, .33, 1/3, 3/5, 3 x 102
C 30%, 3/5, 1/3, .33, 3 x 102
D 3 x 102, 1/3, 30%, 3/5, .33
Which of the following is not true?
Which is ordered from least to greatest?
A 2/5, .4, 40%
A 3 X 10 1, 3/10, 3%, .003
B 7/10, 0.7, 70%
B3 X 10 1, 3%, 3/10, .003
C 1/4, 2.5, 25% _
C 0.003, 3%, 3/10, 3 X 10 1
D 3/8, .375 , 337.5%
D 3%, .003, 3/10, 3 X 10 1
Order the following numbers from least to
greatest.
16%, .166, 1/6, .1.6 x 101
60 =
|−.75| =
|−3/4| =
10-3
00 =
|−10| =
|−3 − 5| =
−|35| =
|−5 + −9| =
−|5| + |−5| =
|9| =
|−17| =
23 – (7 –(-2)2
7 + 4 (12 + -3)=
What is the value of the expression
7 + 5 (-3) - (6 - 2) ÷ 2
(2 +6 ) 2 ÷ 23
4÷2 * 8
3((5 * 24÷ 4) – 2) =
What is the value of this expression?
3(12 + 8) – 2 x 4
2 + 32 + | –4 |
Evaluate: 2 64 + 4 196
Simplify the expression below.
–4x - (–x)
Which of the following is not equivalent?
4(2 – 5) + 7 =
1
A 37 2%
B .375
3
C 34 %
D 37.5%
Which property of real number justifies the
following statement?
4 – 2ab = 4 – 2ba
“If 2(3a – 4) = 12, then 6a – 8 = 12” is
A.
B.
C.
D.
“If 3a + 3b = 12, then 3(a + b) = 12 ?
A. Commutative property of multiplication
B. Distributive property for multiplication
over
addition
C. Multiplicative identity property
D. Associative property of addition
Associative property of multiplication
Multiplication property of equality
Addition property of equality
Distributive property
8.2 Subsets of real number system. (Drag and Drop)
IXL: A8, D1
All numbers are rational or irrational.
sum or product of two rational numbers is rational
sum of a rational number and an irrational number is irrational
product of a nonzero rational number and an irrational number is irrational.†
Rational numbers – Any number that can be written as a fraction. The decimal has to terminate or
repeat
.5, 2/3, -5, -1/4, 20%, 3, 0
Irrational numbers are decimals that do not repeat or terminate.
Integers : Are whole numbers and their opposites. Integers are not fractions or decimals.
-4, -3, -2, -1, 0, 1, 2, 3, 4
Whole Numbers - 0, 1, 2, 3, 4 …… Whole numbers are positive numbers and zero. Whole numbers are
not fractions, decimals, or negative numbers.
Natural Numbers – 1, 2, 3, 4, 5……These are the numbers you use for counting. They are not
fractions, decimals, or negative numbers. Natural Numbers start with 1
Which number is NOT a rational number
a. /-11/
b. -8/4
c. √81
d. 𝜫
3/5, .35, 20%
a. Whole
b. Natural
c. Irrational
d. Rational
Which number is not a rational number
a.
b.
c.
d.
√15
√9
√25
-1/2
What subset does the following belong
(-3, -2, -1, 0, 1, 2, 3)
a. Whole
b. Natural
c. Integer
d. Irrational
What number is an irrational number
a. √36
b. -4
c. .45
d. √2
8.3
a) solve practical problems involving rational numbers, percents, ratios, and
proportions (Fill in blank)
IXL: H 3, 4, 5, 7, 8, 13 I 6
J 10, 11 K 3, 4, 5, 6, 7, 8, 9, 10
b) determine the percent increase or decrease /mark up and mark down
IXL: J10, 11 K 5, 6, 7, 10
Percent of Change
Change (new – original)
original
Interest formula I  prt to determine the value of any missing variable
The recipe calls for 2 cups of sugar to make 4
dozen cookies. How much sugar to make 10
dozen cookies?
Jack can read 15 pages in a hour,
How much can Jack read in 45 minutes?
Sam drove 300 miles in 6.5 hours. How far did
Sam travel in 15 hours?
A picture is 3 inches wide and 5 inches long. Greg
wants to Increase so it is 10 inches wide, how long
is the picture?
Mr. Parker drove 143 miles in 3.25 hours. At that
rate, how far would he travel in 5 hours?
If the regular price is $1,200 and the sale price is
$720, what is the rate of discount?
If the principal is $1,500.00 and the rate of interest
is 9% (compounded semiannually), what is the
amount of interest after six months?
Neal had 20 science questions to answer for
homework. He completed 12 of the questions
before leaving class. What percent of homework
did Neal complete before leaving class?
Randy makes $200 per week. His employer
deducts 4% of his earnings for Randy’s medical
insurance. How much of his weekly salary does
Randy pay for medical insurance?
Tami is 5.2 feet tall. Her shadow is 4 feet long. At
the same time of day, an oak tree in her yard cast
a 20-foot shadow. How tall is the tree?
Sarah earned a 4% commission on all of her sales
in March. Her total sales were $80,000 in March.
How much money did she earn from commissions?
The scale of a map is ¼ inch = 12 miles. The
distance between two cities on the map is
3¼ inches. What is the actual distance, in miles,
between the two cities?
Jenny’s Gift Shop sells candles in a variety of
packages. The cost per candle is the same in every
package. A package of 8 candles costs $12.96.
Write a proportion that can be used to determine
the cost of a package of 3 candles. Solve your
proportion to determine the cost of a package of 3
candles.
Jason’s checkbook had a balance of $525.02 on
May 5. On May 6, he wrote a check for $107.65 at
the grocery store. On May 8, he wrote a check for
$228.00 for his car payment. On May 9, his
grandmother sent him $55.00 and he deposited
this in his account. What is the balance of Jason’s
account after this deposit?
Zach earns $160 per week at a local market. He
makes a payment of $12 per week for a new bike.
He spends $75 each week on food and
entertainment. Zach deposits the rest of his
money in a savings account. Zach estimates that
he deposits about 25% of the $160 into his savings
account each week.
Is Zach’s estimate correct?
How much of his weekly earnings would Zach need
to deposit in order to save 40%?
Jessica went shopping for a new watch. She found
a watch that was originally priced at $50 on sale
for $40. By what percent had the watch been
marked down?
The transportation department recommends
increasing highway tolls by 20% to raise money for
road repairs. The current highway toll is $1.50.
What will be the new toll after the 20% increase?
8.4 Order of operations to evaluate algebraic expressions for given replacement values of the variables.
(fill in blank)
IXL: C9, E7, F17, T4, 5 U 1
Using the distance formula
d = rt
what is the value of t when
d = 3,520 and r = 550?
Evaluate the expression
3x (y – 5)
y = -5 and x= 2.
What is the value of
a+b
2b
a = 10 and b = 15?
8.5 Perfect Squares
IXL: F 13, 14
two consecutive whole numbers between which a square root lies.
IXL: F 15, 19

A perfect square is a whole number whose square root is an integer (e.g., The square root of 25 is
5 and -5; thus, 25 is a perfect square).

The square root of a whole number that is not a perfect square is an irrational number (e.g.,
an irrational number). An irrational number cannot be expressed exactly as a ratio.
2 is
The area determines the perfect square number. If it is not a perfect square, the area provides a means
for estimation.
(Use the symbol
to ask for the positive root and 
when asking for the negative root.)
Reporting Category: Measurement and Geometry (14)
8.6 Angles – (Angle handout)
Q1, 2
vertical angles
adjacent angles
supplementary angles
complementary angles.
Measure angles of less than 360° 145 will take 142-148 (fill in blank)
1.
What is the measure of the angle shown by the arrow?
8.7
IXL: Q25, 26, 27, 28 (Drag and Drop)
volume and surface area of prisms, cylinders, cones, and pyramids
b) describe how changing one measured attribute of a figure affects the volume and surface area
(drag)
IXL: Q, 32
Volume - a measure of the amount a container hold
direct relationship changing measurement using scale factor
surface area - the sum of the areas of the surfaces on the container
no direct relationship changing measurement

When one attribute of a prism is changed through multiplication or division the volume increases
by the same factor that the attribute increased by. For example, if a prism has a volume of 2 x 3 x 4,
the volume is 24. However, if one of the attributes are doubled, the volume doubles.
Nets are two-dimensional representations that can be folded into three-dimensional figures.
A cylinder has a diameter of 10 inches and a height of 2.3 inches. What is the volume of this cylinder, to
the nearest tenth of a cubic inch?
When you increase or decrease the length, width or height of a prism by a factor greater than 1, the
volume of the prism is also increased by that factor.

Compare and contrast the volume and surface area of a prism with a given set of attributes with the
volume of a prism where one of the attributes has been increased by a factor of 2, 3, 5 or 10.

Describe the two-dimensional figures that result from slicing three-dimensional figures parallel to
the base (e.g., as in plane sections of right rectangular prisms and right rectangular pyramids).†
8.8 Transformations (Hot Spot)
Translation – slide
A translation of a figure on a wallpaper pattern shows the same figure slid the same distance in
the same direction
IXL: R2, 3
Reflection – flip vertical (y axis) or horizontal axis (x axis)
A reflection of a boat in water shows an image of the boat flipped upside down with the water
line being the line of reflection;
IXL: R 4, 5
Rotation - turn clockwise/conter clockwise
IXl: R 6, 7
A rotation of the hour hand of a clock from 2:00 to 3:00 shows a turn of 30° clockwise
90°, 180°, 270°, and 360°clockwise and counterclockwise rotations
Dilation of a geometric figure is a transformation that changes the size of a figure by a scale
factor to create a similar figure. A dilation of a model airplane is the production model of the
airplane
R 8, 9, 10
Translations, rotations and reflections - congruence image but change location.
Dilations by a scale factor other than 1 produce an image that is not congruent to the pre-image but is
similar.
Rotations and reflections change direction of the image
8.9 construct a three-dimensional model top or bottom, side, and front views.
IXL: Q 21, 22, 24
The top view is a mirror image of the bottom view
How does knowledge of two-dimensional figures inform work with three-dimensional objects?
It is important to know that a three-dimensional object can be represented as a two-dimensional model
with views of the object from different perspectives.
Identify three-dimensional models given a two-dimensional perspective.
8.10 verify and apply Pythagorean Theorem (Handout)
IXL: O 1, 2, 3, 4, 5
right triangle, the square of the length of the hypotenuse equals the sum of the squares of the legs
(altitude and base).
Pythagorean Theorem: a2 + b2 = c2.
Whole number triples that are the measures of the sides of right triangle
Pythagorean triples
(3,4,5)
(6,8,10)
(9,12,15)
(5,12,13).
hypotenuse - side opposite the right angle, longest side
The legs of a right triangle form the right angle.
For a right triangle, the area of a square with one side equal to the measure of the hypotenuse equals
the sum of the areas of the squares with one side each equal to the measures of the legs of the triangle.
8.11 area and perimeter composite plane figures. (fill in Blank) Handouts
IXL: B19 Q 16, 19
What is the perimeter of a rectangle with an area of 36 square inches and a length of 8 inches?
The area of triangle RST is 36 square inches. Under which transformation could
the area of the image, triangle R’S’T’, be greater than 36 square inches ?
Probability, Statistics, Patterns, Functions, and Algebra (22QUESTIONS)
8.12 probability of independent and dependent events with and without replacement
(Number Line)
IXL: AA 6, 7
Independent Events
first roll of a number cube does not influence the second roll of the number cube
flipping two coins
spinning a spinner
rolling a number cube
flipping a coin and selecting a card
choosing a card from a deck, replacing the card and selecting again.
Ex: When rolling three number cubes what is the probability of rolling a 3 on one cube, a 4 on one
cube, and a 5 on the third?
P(3 and 4 and 5)  P(3)  P(4)  P(5) 
1 1 1
1
  
6 6 6 216
Dependent event – WITHOUT REPLACEMENT
choosing two marbles from a bag but not replacing the first after selecting it
picking a sock out of a drawer and then picking a second sock without replacing the first
choosing a card card, not replacing, choosing another card
Ex: You have a bag holding a blue ball, a red ball, and a yellow ball. What is the probability of picking
a blue ball out of the bag on the first pick then without replacing the blue ball in the bag, picking a
red ball on the second pick?
1 1 1
P(blue and red)  P(blue)  P(red after blue)   
3 2 6
8.13 Graphs and Scatterplots (Graph)
IXL: N 1-13
A scatterplot consists of points that show a relationship between two sets of data to predict trends.
Positive slope– x and y are both increasing (positive slope)
Negative slope – independent variable (x) increases and dependent variable (y) decreases (negative
slope)
Slope: y = mx + b (m is your slope)
Y = 2x + 3 (+ slope)
Y = -2x + 4 (- slope)
If the value of dependent variable y increases as the value of independent variable x increases, the
graph of this relationship could be a
(1) horizontal line
(3) line with a negative slope
(2) vertical line (4) line with a positive slope
Tables, graphs, words, and rules (Graph)
IXL: V 2-7
Relation set of ordered pairs.
Function is a relation in which there is one and only one second member for each first member.
Vertical line test.
table display data
Graphs of functions can be discrete or continuous.
discrete function graph there are separate, distinct points. You would not use a line to connect
these points on a graph.
continuous function continuous line
1.
Which table could be used to graph 2x + y = 7 ?
A
x
1
0
1
2
y
5
7
9
11
x
1
0
1
2
y
9
7
5
3
x
1
2
3
4
y
6
8
10
12
x
1
2
3
4
y
28
29
30
31
B
C
D
2.
Which equation could be used to describe the data in the table below?
x
y
A
B
C
D
1
3
y = 3x + 1
y = 2x + 1
y=x+3
y=x+2
2
5
4
9
6
13
7
15
8.15 Solve linear equations, inequalities
IXL: U 4, 5, 7, 8 X 1, 2, 3, 4, 5
Z 1, 2, 3
8.16 graph a linear equation in two variables (Graph)
IXL: V7
A linear equation is an equation in two variables whose graph is a straight line, a type of continuous
function (see SOL 8.14). A linear equation represents a situation with a constant rate. Driving at a rate
of 35 mph, the distance increases as the time increases, but the rate of speed remains the same.
Solve the following inequality:
9h + 8 < 71
Solve the inequality: 4(1 – x) > –6(x + 4)
Solve the inequality: 5(1 – x) < 4(3 – x)
What is the solution to 6 – 2x < 18?
Victor bought a computer for $1,800. He made a
down payment of $200 and will pay the rest in 5
equal payments. If p represents the amount of
each payment, which equation can be used to find
this amount?
A.
B.
C.
D.
$200p = $1,800
$1,800 + 5p = $200
$1,800 + $200 = 5p
$1,800 = 5p + $200
What is the solution to 2x – 4 < 6?
A.
B.
C.
D.
x<1
x<5
x < 10
x >1
What is the solution to 5(2x – 4) = 7x + 10?
What is the solution to 3(x – 5) > 12?
What is the solution to 6x + 4 = -20?
What is the solution to 4(n + 1) + 2n = 22 ?
What is the solution for 4(x + 1) = 8 ?
What is the value of x in 15 – 3x = 12?
Solve the equation: 13 – 2x = –7
Solve the following inequality: 9h + 8 < 71
What is the solution to 2x + 3 > x – 5 ?
What is the value of x if -3x – 4 = 4x + 10?
Solve the inequality: 4(1 – x) > –6(x + 4)
Solve the inequality: 5(1 – x) < 4(3 – x)
What is the solution of the inequality
−6x − 17 ≥ 8x + 25
Which is a solution to (2x + 3) = 25?
What is the value of
x + 3(y + -2) if x = 5 and y = 8
a.
b.
c.
d.
5 a + 4 › 3a - 2
√144
-3/4
50%
√12
– 5 + 3a ≤ 8a
Use the following formula to convert degrees
40 Celsius (C) to degrees Fahrenheit (F).
F = 1.8C + 32
−𝑎
4
≥ 12
What is the solution to 2(-3x + 4) = 4(-2x + 6)?
What is the value of x if -3x - 4 = 4x + 10?
What is the solution to -2x + 6 > 3x – 4 ?
What is the solution to 2(4 – x) > 5x + 8?
What is the value of x if 3 - 4x = 18 + x?
Mary published her first book. She was given
$10,000.00 and an additional $0.10 for each
copy of the book that sold. Her earnings, d, in
dollars, from the publication of her book are
given by
d = 10,000 + 0.1n
During a science experiment, Whitt had to
calculate the density (D) of an object that
weighed 30.5 grams. This is the formula he
used:
D=M÷V
If the volume of the object is 5 cubic
centimeters, what is the density of this object?
where n is the number of copies sold.
During the first year Mary earned $35,000.00
from the publication and sale of her book. How
many copies of her book sold in the first year?
During the past football season, the Band
Booster Club rented a popcorn machine for
$50.00 plus 15¢ for every bag of popcorn (P)
sold. The total cost (C) of renting the machine
can be expressed using this formula:
C = $50.00 + 0.15P
If the club sells 800 bags of popcorn, how much
is the total cost of renting the machine?
Mr. Lopez drove from Dallas, Texas to Houston,
Texas in 3 hours and 40 minutes. He drove an
average speed of 66 mph without stopping.
How many miles did he drive?
(distance = rate x time)
8.17 domain, range, independent variable or dependent variable (Hot Spot)
X
Y = f(x)
Input
output
Domain
Range
Independent
Dependent
Horizontal
vertical
Example:
Circumference, C = d
Diameter is the input, domain, independent variable, x value
Circumference is the output, range, dependent variable, y value
X
y
Diameter
Circumference
1 in.
3.14 in.
2 in.
6.28 in.
3 in.
9.42 in.
4 in.
12.56 in.