Proportional Relationships
Algebra
Rational Numbers
Equivalent Expressions
Probability
100

The total cost for cans of soup is proportional to the quantity of cans purchased. This equation represents the proportional relationship between the numbers of cans  purchased and the cost  in dollars.

4n=9c

Enter the cost of 1 can of soup, in dollars.

$2.25

100

How do you figure out all equivalent expressions?

Solve all of the different problems and figure out which ones equal the same. 

100

Enter the decimal equivalent of 11/8 to the nearest one-hundredth.

1.38

100

Enter the value of b when the expression 9x+b is equivalent to 3(3x+1). 

b=3

100

Define probability. 

The likelihood or chance of something happening. 

200

Sara buys a sweater at a department store. The sweater costs $30. The store is having a 25% off sale on everything in the store.

Enter the amount of money, in dollars, Sara saves from the sale. Do not consider the sales tax.

$7.50

200

Enter the value 5 X (13.5-4.5).

45

200

Determine all equivalent values to -10/7.

A. -10/-7

B. -3 1/7

C. - (-10/-7)

D. -1 3/7

D

200

Enter the value c when the expression 21.2x+c is equivalent to 5.3 (4x-2.6).

-13.78

200

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of randomly picking a blue marble?

3/10 (30%)

300

x=1,2,3

y=9,18,27

What is the "r" in the equation: y=rx?

r=9

300

Enter the value of 3.7 X (2 divided by 1/2).

14.8

300

Here are the following temperatures:

Hawaii: 12

North Carolina: -38

South Dakota: -58

Montana: -70

What is the difference between Hawaii and South Dakota's temperatures?

70

300

What is the equivalent expression of (4x+3)+(-2x+4).

2x+7

300

If the probability of it raining tomorrow is 0.3, what is the probability that it will not rain tomorrow (percent wise)?

70%

400

Jenny earns $140 for 8 hours of work. She receives a 12% pay increase.  

Enter Jenny's hourly earnings, after the increase. Round to the nearest dollar.

$20/hour

400

Graph the inequality:

6x+4 is greater than or equal to -20.

See whiteboard. 

400

Samantha is baking cookies. She uses 1 3/4 cups of flour, 2/3 cup of sugar, and 1/2 cup of butter. How many cups of ingredients did she use in total? Express your answer as the simplest form rational number.

2 11/12

400

Aaron, Dave, and Jeff are teammates on the school's basketball team. Aaron scored x points in the last game. Dave scored 5 more points than Aaron. Jeff scored twice the number of points that Dave scored.


If Jeff scored 30, how many points did Aaron score. 

10

400

A deck has 4 cards: A, B, C, and D. If you randomly pick one card, then pick another without putting the first back, what is the probability of picking card A then card B?

Pay attention to order of picking cards over random combinations. 

1/12 (1/4 for first card, then 1/3 for second card, then multiply)

500

Draw a graph that represents a proportional relationship between x and y.

See pictures drawn

500

Marcus has a pool that can hold a maximum of 4500 gallons of water. The pool already contains 1500 gallons of water. Marcus begins to add more water at a rate of 30 gallons per minute.

Enter an inequality that shows the number of minutes,  Marcus can continue to add water to the pool without exceeding the maximum number of gallons.

x is less than or equal to 100. 

500

Define an irrational number (this is a little bit of a tricky question). 

A real number that can never be expressed in a simple fraction form (like the square root of 3). 

500

Select all expressions that are equivalent to -3.75+2(-4x+6.1)-3.25x:

A. 7x−2x+8.1

B. 8.45−8x−3.25x

C. −1.75−7.25x+6.1

D. −11.25x+12.2−3.75

B

500

A spinner is divided into 8 equal sections: 3 red, 2 green, 2 blue, and 1 yellow. If you spin it once, what is the probability of landing on a color other than red?

5/8