Let  be Bobby's age. Since Geri is five years younger, her age is five years subtracted from Bobby's age, or . 

In ten years, both will have had ten years added to their ages, so Bobby will be  and Geri will be . 

Twice Bobby's age will be , and Geri will be thirty years less than this, or . Set the two expressions for Geri's age in five years equal to each other and solve for .

Distribute:

Collect like terms:

Apply the subtraction property of equality and collect like terms:

Apply the addition property of equality:

Bobby is fifteen years old.

Let  be Eddie's, Freida's, Grant's, Helene's and Ira's scores. Each of the following statements can be translated into inequalities as follows:

 Grant outscored Eddie and Freida: 

Helene outscored Grant: 

Freida ourtscored Ira:

The first and third statements can be combined to form the three-part inequality:

The second, third, and fourth statements can be combined to form the four-part inequality:

Since Helene and Grant were the top two finishers, their scores were counted. However, it cannot be determined which student finished third from these statements. Therefore, insufficient information is given to answer the question.

For this question you can simply add up the points LeBron has scored thus far (191), determine how many points he would need through 8 games to be averaging 30 per game (240) and subtract to get 49.

If that's more adding than you want to do, though, you can also take the total number of points that LeBron is under 30 in each of the games when he failed to reach that mark and add these to get . Then combine this with the total number of points that he is over 30 in the rest of the games  to get a net of . So in his 8th game he will need to score the 30 points, but 19 extra to make up for the deficit: .

The first step is to convert the set  to fractions that have a common denominator of 12. This gives us:

The mean is then calculated by dividing the sum of the numbers in the set by the number of items in the set. 

The sum of the items in the set is: 

There are 4 items in the set, so the sum must be divided by 4 (or multiplied by ). 

This results in:

Write the word problem in terms of a mathematical equation.  Let  be the value of the bronze object.

Solve for .

The value of the bronze object is  units.

 has a parabola as its graph; the height of the baseball relative to the time elapsed can be modelled by this parabola. The height of the baseball when it reaches its peak corresponds to the vertex of the parabola. The first coordinate of the vertex, or , is equal to , where, here,

 and .

Therefore, the time coordinate of the vertex is 

Of the given responses, 3 seconds comes closest.

When the ball hits the ground, the height is 0, so set  and solve for :

Either  or .

If , then . Since time cannot be negative, we throw this out.

If , then  - this is the answer we accept. 

The ball hits the ground in 6 seconds.

 has a parabola as its graph; the height of the baseball relative to the time elapsed can be modelled by this parabola. The height of the baseball when it reaches its peak corresponds to the vertex of the parabola. The first coordinate of the vertex, or , is equal to , where, here,

The time elapsed after the baseball reaches its peak is

 seconds.

The height at that time is 

 feet.

The closest of the given responses is 200 feet.

The data given can be written in the form of two ordered pairs , with  the number of the year and  the number of catfish - these pairs are  and .

Setting  in the slope formula, the line through these two points has slope

Using the point-slope formula with the first point, the line that models the catfish population is

Let  be the speed of the river current. 

The speed of the boat going downstream is , the sum of the speed of the boat in still water and the speed of the river current. Since rate is distance divided by time, 

To get the speed of the boat going upstream, subtract the speed of the current from that of the boat in still water:  miles per hour.

Since rate multiplied by time is equal to distance, we have:

 hours,

making the correct choice 11 hours.