Algebra II Chapter 1 & Exponent Review

1-2

100

 Order the following numbers from least to greatest,

8/3, -1.7, 3.1, -sqrt(1), sqrt(9)

 

-1.7, -sqrt(1), 8/3, sqrt(9), 3.1

200

Compare the following numbers using < or >, -4 and 

-sqrt(4)

-sqrt(4) > -4

300

Which property does the equation below illustrate?

(-7/3)(-3/7)=1

The Inverse Property of Multiplication.

400

Which numbers from the following list would be considered rational?

-1/3, sqrt(111), 0.607, sqrt(25), sqrt(122), 0, -4, 2pi

-1/3, 0.607, sqrt(25), 0, -4

500

Which property does the equation below illustrate?

171+0=171

Additive Identity Property 

1-5

100

Solve the inequality below, then graph the solution. 

14-4y >=38

y<=-6

200

Is the inequality below always, sometimes, or never true,

3+5x<5(x+1)

Always

300

Solve the compound inequality then graph the solution.

4x<16 or 12x>144

x<4 or x>12

400

Solve the compound inequality then graph the solution.

6x>=-24 and 9x<54

-4<=x<6

500

The pH level of a popular shampoo is between 6.0 and 6.5 inclusive. What compound inequality shows the pH levels of this shampoo? Graph the solution. 

6.0<=x<=6.5

1-6

100

Solve the following equation,

abs(4-z)-10=1

z=-7, 15

200

Solve the equation and check for extraneous solutions.

abs(2x-3)=4x-1

x=2/3

300

Solve the inequality then graph the solution,

abs(x-5)>=8

x<=-3 or x>=13

400

Write the compound inequality shown below as an absolute value inequality.

1200<=m<=1300

abs(m-1250)<=50

500

Write an absolute value inequality to describe the following graph. (see drawing on board)

abs(x)<4

Exponents

100

Simplify the following expression,

2x^(3)y^(-3)*2x^(-1)y^3

4x^2

200

Simplify the following expression,

(2x^4y^-4z^-3)/(3x^2y^-3z^4)

(2x^2)/(3yz^7)

300

Simplify the following expression,

(2v)^2*2v^2

8v^4

400

Simplify the following expression, 

(2m^-4)/((2m^-4)^3

m^8/4

500

Simplify the following expression,

((a^-2b^0c^3)^3)/(a^3b^3*2ba^4c^2)

c^7/(2a^13b^4)

Misc.

100

Simplify the following expression, 

(4xy)^-1

1/(4xy)

200

Estimate to the nearest integer. 

-sqrt(38) 

-6

300

Write the following numbers in decreasing order.

-17, -0.06, -3sqrt(3), 5.73, 1/4

5.73, 1/4, -0.06, -3sqrt(3), -17

400

Solve the compound inequality and graph the solution.

7x > -35 and 5x <= 30

-5<x<=6

500

Solve the equation. Check for extraneous solutions.

1/2abs(3x+5)=6x+4

x=-1/3