Skip to main content
guest
Join

Help

Sign In
HBGSDMath
Home
guest

Join

Help

Sign In
Wiki Home
Recent Changes
Pages and Files
Members
Welcome!
Keystone Algebra I Resources
Keystone Algebra I Glossary
HSD Lit & Alg 1 Needs 1415
PreAlgebra
Algebra 1
Algebra 2
Geometry
PreCalculus
Math Videos
Graphic Organizers/Activities
Math Web Sites
Math Games
Power Points
Summary Ideas
Teacher Appreciation Ideas
Anchor A1.1.1.1
Edit
0
11
…
0
Tags
No tags
Notify
RSS
Backlinks
Source
Print
Export (PDF)
A1.1.1.1  Represent and/or use numbers in equivalent forms (e.g. integers, fractions, decimals, percents, square roots, and exponents).
Key Vocabulary:
Arithmetic Sequence, Complex Number, Composite Number, Imaginary Number, Natural Number, Number Line, Perfect Square, Prime Number, Rational Number, Irrational Number, Square Root, Whole Number
A1.1.1.1.1 Compare and/or order any real numbers.
Note
: Rational and irrational may be mixed.
Which of the following inequalities is true for all real values of x?
A. x
3
≥ x
2
B. 3x
2
≥ 2x
3
C. (2x)
2
≥ 3x
2
D. 3(x – 2)
2
≥ 3x
2
– 2
Answer: C
A1.1.1.1.2. Simplify square roots.
An expression is shown below.
2
√
51x
Which value of x makes the expression equivalent to 10
√
51
?
A.5
B. 25
C. 50
D. 100
Answer: B
An expression is shown below.
√87
x
For which value of x should the expression be further simplified?
A. x = 10
B. x = 13
C. x = 21
D. x = 38
Answer: C
Additional Resources:
PDESAS Algebra I Module 1
Khan Academy Video  Order of Operations
Khan Academy Video Basic Exponents
Khan Academy Videos Simplifying Square Roots
Explore Learning examples and practice problems
Javascript Required
You need to enable Javascript in your browser to edit pages.
help on how to format text
Turn off "Getting Started"
Home
...
Loading...
A1.1.1.1  Represent and/or use numbers in equivalent forms (e.g. integers, fractions, decimals, percents, square roots, and exponents).
Key Vocabulary: Arithmetic Sequence, Complex Number, Composite Number, Imaginary Number, Natural Number, Number Line, Perfect Square, Prime Number, Rational Number, Irrational Number, Square Root, Whole Number
A1.1.1.1.1 Compare and/or order any real numbers. Note: Rational and irrational may be mixed.
Which of the following inequalities is true for all real values of x?A. x3≥ x2
B. 3x2 ≥ 2x3
C. (2x)2 ≥ 3x2
D. 3(x – 2)2 ≥ 3x2 – 2
Answer: C
A1.1.1.1.2. Simplify square roots.
An expression is shown below.2√51x
Which value of x makes the expression equivalent to 10√51?
A.5
B. 25
C. 50
D. 100
Answer: B
An expression is shown below.
√87x
For which value of x should the expression be further simplified?
A. x = 10
B. x = 13
C. x = 21
D. x = 38
Answer: C
Additional Resources:
PDESAS Algebra I Module 1Khan Academy Video  Order of Operations
Khan Academy Video Basic Exponents
Khan Academy Videos Simplifying Square Roots
Explore Learning examples and practice problems