Exponents, Scientific Notation, and Roots
The Real Number System
Order of Operations & Evaluating Expressions
Properties
Simplifying & Factoring Expressions
Solving Equations
Solving & Graphing Inequalities
Translating Equations & Inequalities
Exponent Rules
Ratios, Rates, & Proportions
Percents
100
Rewrite using positive exponents
3^-3
1/27
100
Name the SMALLEST subset to which each value belongs.
-13/18
Rational
100
-57
100
Name the properties that justifies each statement.
Inverse Property of Addition
100
Simplify:
4a-23
100
x=-9
100
100
“Four more than the product of a number and -7
is 39.”
-7n+4=39
100
-20a^9
100
Determine if the data in the table represents a proportional relationship. If yes, give the
constant rate.
No
100
If there are 350 eighth students and 74%
returned signed permission slips to attend the end
of year trip, how many are going on the trip?
x=259 Students
200
Write the following values in scientific notation.
0.0000000047
4.7*10^-9
200
Name the SMALLEST subset to which each value belongs.
|-15|
Natural
200
5/4
200
Name the properties that justifies each statement.
Distributive Property
200
Simplify:
-10x-35
200
m=30
200
200
“Seventeen less than twice a number is -49.”
2n-17=-49
200
56/(m^2n^3)
200
Rylan worked 15 hours last week and earned
$138. If he works 23 hours this week, how much
will he earn?
x=$211.60
200
During a Black Friday sale, Bryson bought a $679
TV that was on sale for 40% off and a $224
tablet that was on sale for 15% off. How much
did he save in total between these two items?
$305.20 saved
300
Write the following values in standard form.
5*10^7
50,000,000
300
Name the SMALLEST subset to which each value belongs.
pi - pi
Whole
300
-14
300
Name the properties that justifies each statement.
Inverse Property of Multiplication
300
Simplify:
-14w+24
300
a=-15
300
300
“The quotient of a number and -3 is greater than
or equal to -7.”
300
(-s^6)/(2r^7)
300
A 180-foot cell phone tower casts a shadow that
is 72 feet tall. At the same time, a nearby utility
pole casts a shadow that is 16 feet tall. How tall
is the utility pole?
x=40 feet
300
A baseball card that sold for $1,200 in 2004 sold
for $850 in 2010. Find the percent of change
from 2004 to 2010. Round to the nearest tenth of
a percent.
29.2% Decrease
400
Evaluate each expression.
3sqrt(-343)
-7
400
Name the SMALLEST subset to which each value belongs.
-sqrt(100)/20
Rational
400
-31/2 or -15 1/2
400
Name the properties that justifies each statement.
Associative Property of Multiplication
400
Factor:
3(2r-15)
400
No Solution
400
400
“The product of a number and -5, increased by
8, is at least 53.”
-5n+8>53
400
3.8*10^-7
400
x=18
400
Minimum wage in Vermont was $5.15 in 2000. In
2016, it increased to 70¢ less than twice what it
was in 2000. Find the percent of change from
2000 to 2016. Round to the nearest tenth of a
percent.
86.4% Increase
500
Which values are perfect squares?
20 121 36 10 18 256 400
121, 36, 256, 400
500
Name the SMALLEST subset to which each value belongs.
7^-2
Rational
500
12
500
Name the properties that justifies each statement.
Property of Zero
500
Factor: 
8(4m+3n)
500
Four-fifths of the people that Kyle and Melissa invited to their wedding responded indicating that they
are coming. However, of those that responded, 19 did not show up. If there were a total of 121 guests
at their wedding, how many did they invite?
175 People
500
c<7
500
“Fourteen more than twice a number is no
more than -6.”
500
8.14*10^6
500
x=12.6
500
Scott took out a 72-month loan for $42,000 to put
a new pool in his background. If the simple
interest rate is 6.75%, how much will he pay in
total?
$59,010