Properties of Real Numbers
Simplifying Algebraic Expressions
Linear Equations
Linear Inequalities
Absolute Values
100

The following list shows the elevations (in feet) of several volcano summits above or below sea level.
641, 3976, 610, -59, 1718, 1733, and -137
Order the elevations from lowest to highest 

-137, -59, 610, 641, 1718, 1733, and 3976

100

Evaluate the following when x = -3:

-7

100

Solve: 

x = 15

100

Solve.  Then describe the graph of the solution.
4x + 9 < 25

Solution: x < 4
Graph: open dot; arrow left 

100

Solve the equation

d = -4 or d = 9

200

Order the following numbers from least to greatest: 

200

You are selling homemade candles at a craft fair for $3 each.  You spend $120 to rent the booth and buy materials for the candles.  Find your profit if you sell 75 candles 

$105

200

Solve: 

p = 9

200

Solve.  Then describe the graph of the solution

Solution: 

Graph: closed dot; arrow right 

200

Solve the equation.  Check for extraneous solutions. 

Solution: x = 5
Extraneous Solution: x = -1

300

Part A: What property of addition allows me to say the following:
7 + (4 + 3) = (7 + 4) + 3

Part B: What property of multiplication allows me to say the following:
5 * 3 = 3 * 5

Part A: Associative Property of Addition 

Part B: Commutative Property of Multiplication 

300

Simplify the expression: 

8(x - 3) - 2(x + 6) + 15x

21x - 36

300

Solve the equation: 

x = -1 

300

Solve.  Then describe the graph of the solution. 

Solution: x < 3

Graph: open dot; arrow left 

300

Solve.  Then, describe the graph of the solution

Solution: 

Graph: open dot at -9/2; arrow left.  open dot at 2; arrow right 

400

On a track at an Air Force base in New Mexico, a rocket sled travels 3 miles in 6 seconds.  What is the average speed in miles per hour? 

1800 miles per hour 

400

Part A: Write a simplified expression for the perimeter of the figure

Part B: Then, evaluate the expression for the given value of the variable 

Part A: Perimeter = 10n + 24 

Part B: Perimeter = 10 (2) + 24 = 44 units 

400

Solve the equation.  If there is no solution, write "no solution."  If the equation is always true, write "All real numbers" 

No solution

400

You have $50 to spend at a county fair.  You spend $20 for admission.  You want to play a game that cost $1.50.  Describe the possible numbers of times you can play the game.  

You can play the game 20 times or fewer

400

Solve.  Then describe the graph of the solution. 

Solution: 

Graph: closed dot at -5; arrow between -5 and 4; closed dot at 4 

500

The average weight of the blue whale (the largest mammal) is 120 tons.  The average weight of the bumblebee bat (the smallest mammal) is 0.07 ounces. Finish this statement:

The blue whale is about _____ as many times heavy as the bat (round to the nearest whole number) 

The blue whale is about 5485714 as many times heavy as the bat.  

500

You are buying 25 fish of goldfish, tetras, and rainbowfish for an aquarium.  
Goldfish - $1.50 each
Tetras: $2.00 each
Rainbowfish - $8.00 each
If you buy 8 goldfish, 10 tetras, and the rest rainbowfish, what is your total cost? 

$88

500

When Isaiah returned from vacation, he turned the heat back on in his home.  He set the temperature as high as it could go.  "Q" represents the temperature in Isaiah's home (in degrees Celsius) after "t" minutes:
Q = 15 + 0.4t
1.) What was the temperature when Isaiah returned from vacation?
2.) How long will Isaiah need to leave the heat on to reach a temperature of 318 degrees C? 

1.) 15 degrees C

2.) 757.5 minutes 

500

Canoe rentals costs $18 for the firs two hours and $3 per hour after that.  You want to canoe for more than 2 hours, but can spend no more than $30.  What is the total number of hours you can canoe? 

Up to 6 hours of canoeing
(2 hours for the first $18, then 4 hours at the $3 rate)
Great job, Julia! 

500

A baseball has a cushioned cork center called the "pill."  The pill must weigh 0.85 ounce, with a tolerance of 0.05 ounce.
1.) Write an absolute value inequality to model this situation.
2.)  Find the acceptable weights for the pill. 

1.) 

2.) Between 0.8 and 0.9