ALgebra Honors - Unit 1 Review

Simplifying Radicals

100

Simplify √ 225

What is 15

200

Simplify √ 45

What is 3√ 5

300

simplify √ 81x⁸

What is 9x⁴

400

Simplify √ 24x³

What is 2x√ 6x

500

Simplify -8√80x⁶ y⁷

What is -32x³y³√ 5y

Sets of Numbers

100

Rational or Irrational?

              π

Irrational

200

Rational or Irrational

-256

Rational

300

Name a number that is an intger, but not a whole number.

Answers will vary.

400

What set of number best describes the number of homeruns a baseball player can make in one game?

a) Natural Numbers

b) Whole Numbers

c) Integers

d) Rational Numbers

Whole

500

Rational or Irrational?

√8 x √18

Rational, since it is equal to √144 = 12

Properties of Real Numbers

100

Name the property: 

a+b = b+a

What is the commutative property of addition.

200

Name the property:

3/4 x 4/3 = 1

What is the Multiplciative Inverse Property

or Inverse Property of Multiplication

300

(MV)Q ----> M(VQ) -----> (VQ)M

What two properties were used?

What is the Associative Property of Multiplication and the Commutative Property of Multiplication.

400

Given:  (4x + 5) + (3x + 6)

•             4x + (5 + 3x) + 6 ____________        
•             4x + (3x + 5) + 6  ____________     
•             (4x + 3x) + (5 + 6) ____________    
•             x(4 + 3) + (5 + 6)______________     
•             7x + 11 

Associative Property of Addition

 Commutative Property of Addition

Associative Property of Addition

Distributive Property (undistribute)

500

(ab)² = (ab)(ab) 

         = a(ba)b_____________       

         =a(ab)b_____________        

         = (aa)(bb)  ___________  

         = a²b²    laws of exponents

Associative Property of Multiplication

Commutative Property of Multiplication

Associative Property of Multiplication 

Operations with Radicals

100

The sum of √12 + √27

What is 5√3

200

When simplified  6√12 + 11√48 − 3√27

What is 47√3

300

The product in simplest radical form 

                 √10 · √15

What is 5√6

400

                               8√54 divided by  2√3

What is 12√2

500

In simplest radical form  √12x²y⁵ multiplied by √5x⁶y⁵

What is 2x⁴y⁵√15

Miscellaneous

100

List the first 15 perfect square numbers.

What is 1,4,9,16,25,36,49,64,81,100,121,14,169,196,225

200

Evaluate: wxy² when x = (-3), y = (-2) and w = 5

What is -60

300

Evaluate  

(8 x 5 ÷ 10 + 2)(2⁵ - 8² ÷ 2)

What is 0

400

Solve for x 

4(x-3) = 2(x+5)

What is x = 11

500

                7/6 + 1/4

               _________

                     1/2

What is 2 and 5/6