Test 2 Review Exponents and Properties of Numbers

Vocabulary  Power  Base Exponent  Properties: (4 properties- addition/subtraction)

Exponents  Solve exponent expressions.  4^27^0  5^40^0  6^41^12  3^53^1  2^86^4  4^420^2

Exponents  Solve for X.  5^x = 125X^2 = 121  4^x = 256X^4 = 16  X^3= 512  X^5 = 32  4^6 = X  2^7 = X

Exponents  Solve. > < =  4^2 ___ 3^4  2^6 ___ 4^3  7^3 ___ 5^4  2^4 ___ 6^3  5^3 ___ 8^2  8^1 ___ 2^3

Properties  Identify the property.  =  (9 x 2) x 6 = 9 x (2 x 6)  = 3  6(35) = 6(30 + 5)  7 x 3 x 4 = 4 x 7 x 3

Properties  Complete the properties  Commutative = ___  Associative (9 x 3) x 2 = 9 x _____  Commutative7 x 4 x 3 = 3 x 7 x ___  Distributive 8(45) = 8( _____)  Associative 2 + (4 + 3) = (2 + 4) __

Properties  Solve and Justify each step.  (3 x 5) x 4  4 x 3 x  8 x (2 x 14)

Properties  Solve using the Distributive Property.  6(56)7(89)  14(78)4(91)  2(97)3(72)  5(67)7(23)  4(46)6(34)

Word Problems  Julie has 5 times as many marbles as Kate. Kate has 5 times as many marbless as Dan. Dan has 5 marbles. How many does Julie have?

Word Problems  The population of Glasgow, Ky has doubled every 15 years. In 2000, the population was 16,000. At this rate, what will the population be in 2045?

Word Problems  The cells of a certain bacteria triple every 45 minutes. If you begin with a single cell, how many will there be in 6 hours?

Word Problems  Karla makes and sells T-shirts. She sold 3 different types of shirts for $12, $15, and $22. Write an expression for the total Karli received. Show how you can use the properties to solve. (Justify)

Word Problems  Mary worked 6 hours at a rate of $23 per hour. Write an expression to use to solve this.

Open Response  Claim  Data  Warrant  Be able to differentiate between properties and use correctly.