Anchor+A1.1.1.1

=A1.1.1.1 - Represent and/or use numbers in equivalent forms (e.g. integers, fractions, decimals, percents, square roots, and exponents).= = = =Key Vocabulary: =

=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