Chapter 9 Closure

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Multiply (2x+3)(x-5)

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What is the inequality shown on the graph ?

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Is the point (0,4) a solution to the system of inequalities below? Justify your answer.

Factor these expressions completely, if possible. If you can't factor, write "not possible."
You are not finding the x-intercepts

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Factor

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Factor

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Factor

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Factor

Solve each inequality below for the given variable.  (Remember to flip the sign if necessary)

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Brian was holding a ballroom dance. He wanted to make sure girls would come, so he charged boys $5 to get in but girls only $3. The 45 people who came paid a total of $175. ____________girls came to the dance.

Solve each quadratic equation using the specified method. (Find the x-intercepts rounded to the nearest hundreth if necessary)
When writing your answers, seperate the two x-ints with a comma
for example: 4, -5

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Answer the following questions given the quadratic function :

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What is the vertex?

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What is the x -intercepts?

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Sketch a graph of the function.

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Graph the system of inequalities below on graph paper.

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Lew says to his granddaughter Audrey, “Even if you tripled your age and added 9, you still wouldn’t be as old as I am.” Lew is 60 years old. Write and solve an inequality to determine the possible ages Audrey could be.

The cost to rent a DVD has decreased 10% per year over the past several years.

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If the current cost is $5, write an exponential equation describing this situation.

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According to the equation, what did it cost to rent a DVD 5 years ago?

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The hare leaps 500 centimeters every 20 seconds. The tortoise crawls 250 centimeters every 50 seconds, but gets a 1000-centimeter head start. Use any method you know to determine how long it takes the hare to catch up to the tortoise. The hare catches the tortoise in __________seconds.

1

Multiply (2x+3)(x-5)

What is the inequality shown on the graph ?

Is the point (0,4) a solution to the system of inequalities below? Justify your answer.

Factor

Factor

Factor

Factor

Brian was holding a ballroom dance. He wanted to make sure girls would come, so he charged boys $5 to get in but girls only $3. The 45 people who came paid a total of $175. ____________girls came to the dance.

What is the vertex?

What is the x -intercepts?

Sketch a graph of the function.

Graph the system of inequalities below on graph paper.

Lew says to his granddaughter Audrey, “Even if you tripled your age and added 9, you still wouldn’t be as old as I am.” Lew is 60 years old. Write and solve an inequality to determine the possible ages Audrey could be.

If the current cost is $5, write an exponential equation describing this situation.

According to the equation, what did it cost to rent a DVD 5 years ago?

The hare leaps 500 centimeters every 20 seconds. The tortoise crawls 250 centimeters every 50 seconds, but gets a 1000-centimeter head start. Use any method you know to determine how long it takes the hare to catch up to the tortoise. The hare catches the tortoise in __________seconds.

Find the equation of an exponential function of the form y=ab^x that passes through the points (3,13.5) and (5,30.375).