CAASPP Practice Test

Instructions

Work in small groups to complete these problems. Some of them are like mathematical puzzles! Watch the videos to see how to solve the tougher ones...or try them on your own first. :)

Watch this 1 minute (silent) video to remember how to solve systems of equations:

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Solve by either using substitution or elimination

Write your answer as an ordered pair (x,y)

Rational numbers include whole numbers, fractions, or decimals that end or repeat.

Another way to think of this is that a rational number can be written as a fraction (ratio)

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Sort each number into a category

3√5
9.31289452...

Rational
Irrational

Watch this 1 minute (silent) video to remember how to solve absolute value inequalities:

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Solve.

Type your answer in this format:
_\leqx\leq_

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Select the correct number line for the solutions of:

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Hint: sub -9 in for x.

Watch this 1 minute video to remember how to graph linear equations in standard form:

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Instructions

Click the graph tab.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.

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Solve each equation and then sort into a category based on the type of solutions.

Draggable item		Corresponding Item
Hint: Factor & set equal to zero...plug back in to check!		No real solution
Hint: Subtract 6, then square both sides...plug back in to check!		One real solution
Hint: Subtract 5x first...plug back in to check!		More than 1 real solution

Watch this video to see how to solve the next problem:

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Cost per scoop = _______ 
Cost per topping = _______ 

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Example:

Now you try:

Simplify using properties of exponents

x should be in your answer

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Example:

Subtract the exponents. Now you try:

Simplify using properties of exponents

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Select ALL that apply.

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A washing machine was purchased for $700 and loses 1/4 of its value each year. Enter the function f(t) that describes the value of the washing machine as a function of time in years, t.

Type: f(t)=a(1-r)^t

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Use your equation from the previous question:
A washing machine was purchased for $700 and loses 1/4 of its value each year. How much is the washing machine worth after 4 years?

Round to nearest penny and include $

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The dimensions of the box below are given as 

height = x
width = 9-2x 
length = 5-2x

The volume of the box is given by the function: 


The function is graphed below.  Find the dimensions of the box that will give the maximum volume.


height = x = x-value of maximum point on graph = _______ 
Now sub that x-value into the width and length expressions:
width = 9-2x = _______ 
length = 5-2x = _______ 

Watch this video to see how to solve the next problem:

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Melissa drew a right triangle.

The length of the hypotenuse is \sqrt{74}
The perimeter is 12 + \sqrt{74}

Find the length of the other two sides of the triangle.
Enter the two numbers separated with a comma, and no spaces

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A hot air balloon elevation is shown in the table below. 
In which interval did the balloon gain the most altitude? __________

In which interval did the balloon drop the most? __________

Watch this video to see how to solve the next problem:

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Use the formulas below:

Solve for r. Round to the nearest whole number.

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Write a function to represent the height of the helicopter.
Type: f(t)=-mt+b

m is the slope rise/run
b is the y-intercept

Watch this video to see how to solve the next problem:

1

What is the width of the walkway? (solve for w)

Hint:
Length = 17+2w
Width = 13+2w
Area = 396

Area = (Length)(Width)
396 = (17+2w)(13+2w)

-FOIL the right side^
-Subtract 396
-Factor or use Quadratic Formula to solve for w.

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Two gardens are planted in the shape shown below.  


Which garden is bigger?__________
How much larger is that garden ?__________

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rise/run between (0,20) and (20,40)

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When the full roll of paper towels is unrolled, it has a length of 528 inches of paper towels. Enter the length, in inches, of the paper towels remaining on the partial roll.
Hint: Set up a proportion & cross-multiply to solve for x.

Round to the nearest whole number.

1

Graph the function below

Hint:

Instructions

Click the graph tab.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.

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How high will candle A be after 3 hours? _______ 
How high will candle B be after 3 hours? _______ 
Which candle will burn out first? _______ 

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Select ALL that apply.

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DRAW A PICTURE!

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Mike sees a $58 sweatshirt at the store that is on sale for 30% off! He also has a coupon that will take an additional 20% off the sale price. How much will the sweatshirt cost?

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Simplify

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x represents the number of passengers in addition to the driver.

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Table 3 shows the number of drivers and accidents by age of driver in the USA each year. 
Your classmate, Kelly, claims that 16-year-olds are actually the safest teenage drivers because they have the least number of accidents. Find the probability for each age.  

Type each answer as a percent and round to the nearest whole number. 

Probability that a 16 year old gets into an accident _______ 

Probability that a 17 year old gets into an accident _______ 

Probability that a 18 year old gets into an accident  _______ 

Probability that a 19 year old gets into an accident _______

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Table 3 shows the number of drivers and accidents by age of driver in the USA each year.
Your classmate, Kelly, claims that 16-year-olds are actually the safest teenage drivers because they have the least number of accidents. Do you agree or disagree with Kelly? Explain any mathematics you did to reach your conclusion.

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The table above shows data for new drivers in different states. Use the information to determine the average rate of change from states that require 20 hours of practice to states that require 100 hours.

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Explain what the rate of change represents for this table (use your answer from above)

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A recent study reported the probability of a driver committing a moving violation during each of the first 8 months after getting their license.
Put these drivers in order from LEAST likely to get a ticket to MOST likely

1 month after getting your license at 17 years
7 months after getting your license at 16.5 years
8 months after getting your license at 16.5 years
4 months after getting your license at 16 years
5 months after getting your license at 17 years

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Currently you can get your license at 16 years old after having a permit for 6 months.

If there are 13,000 drivers that get their license each year in your state, how many accidents can you expect?

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A new law would make it so that those 13,000 new drivers would need a permit for 12 months before they can get their license at 16 years old. How many accidents can we expect then?

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Given all the data from above, and using your answers from this section....What changes would you recommend to the state to make the roads safer?

Recommendations could include:
-Changing the age a driver can get their permit
-The number of practice hours required
-The amount of time a driver must hold their permit
-The age a driver can get their license

Watch this 1 minute (silent) video to remember how to solve systems of equations:

Solve by either using substitution or eliminationWrite your answer as an ordered pair (x,y)

Sort each number into a category

Watch this 1 minute (silent) video to remember how to solve absolute value inequalities:

Solve.Type your answer in this format:___\leqx\leq___

Select the correct number line for the solutions of:

Hint: sub -9 in for x.

Watch this 1 minute video to remember how to graph linear equations in standard form:

Solve each equation and then sort into a category based on the type of solutions.

Watch this video to see how to solve the next problem:

Example: Now you try:Simplify using properties of exponents x should be in your answer

Example: Subtract the exponents. Now you try:Simplify using properties of exponents

Select ALL that apply.

A washing machine was purchased for $700 and loses 1/4 of its value each year. Enter the function f(t) that describes the value of the washing machine as a function of time in years, t. Type: f(t)=a(1-r)^t

Use your equation from the previous question:A washing machine was purchased for $700 and loses 1/4 of its value each year. How much is the washing machine worth after 4 years?Round to nearest penny and include $

Watch this video to see how to solve the next problem:

Melissa drew a right triangle.The length of the hypotenuse is \sqrt{74}The perimeter is 12 + \sqrt{74}Find the length of the other two sides of the triangle.Enter the two numbers separated with a comma, and no spaces

Watch this video to see how to solve the next problem:

Use the formulas below:Solve for r. Round to the nearest whole number.

Write a function to represent the height of the helicopter. Type: f(t)=-mt+bm is the slope rise/runb is the y-intercept

Watch this video to see how to solve the next problem:

What is the width of the walkway? (solve for w)Hint: Length = 17+2wWidth = 13+2wArea = 396Area = (Length)(Width)396 = (17+2w)(13+2w) -FOIL the right side^-Subtract 396-Factor or use Quadratic Formula to solve for w.

rise/run between (0,20) and (20,40)

When the full roll of paper towels is unrolled, it has a length of 528 inches of paper towels. Enter the length, in inches, of the paper towels remaining on the partial roll.Hint: Set up a proportion & cross-multiply to solve for x.Round to the nearest whole number.

Graph the function belowHint:

Select ALL that apply.

DRAW A PICTURE!

Mike sees a $58 sweatshirt at the store that is on sale for 30% off! He also has a coupon that will take an additional 20% off the sale price. How much will the sweatshirt cost?

Simplify

x represents the number of passengers in addition to the driver.

The table above shows data for new drivers in different states. Use the information to determine the average rate of change from states that require 20 hours of practice to states that require 100 hours.

Explain what the rate of change represents for this table (use your answer from above)

A recent study reported the probability of a driver committing a moving violation during each of the first 8 months after getting their license. Put these drivers in order from LEAST likely to get a ticket to MOST likely

Currently you can get your license at 16 years old after having a permit for 6 months. If there are 13,000 drivers that get their license each year in your state, how many accidents can you expect?

A new law would make it so that those 13,000 new drivers would need a permit for 12 months before they can get their license at 16 years old. How many accidents can we expect then?

Solve by either using substitution or elimination

Write your answer as an ordered pair (x,y)

Solve.

Type your answer in this format:
_\leqx\leq_

Example:

Now you try:

Simplify using properties of exponents

x should be in your answer

Example:

Subtract the exponents. Now you try:

Simplify using properties of exponents

A washing machine was purchased for $700 and loses 1/4 of its value each year. Enter the function f(t) that describes the value of the washing machine as a function of time in years, t.

Type: f(t)=a(1-r)^t

Use your equation from the previous question:
A washing machine was purchased for $700 and loses 1/4 of its value each year. How much is the washing machine worth after 4 years?

Round to nearest penny and include $

Melissa drew a right triangle.

The length of the hypotenuse is \sqrt{74}
The perimeter is 12 + \sqrt{74}

Find the length of the other two sides of the triangle.
Enter the two numbers separated with a comma, and no spaces

Use the formulas below:

Solve for r. Round to the nearest whole number.

Write a function to represent the height of the helicopter.
Type: f(t)=-mt+b

m is the slope rise/run
b is the y-intercept

What is the width of the walkway? (solve for w)

Hint:
Length = 17+2w
Width = 13+2w
Area = 396

Area = (Length)(Width)
396 = (17+2w)(13+2w)

-FOIL the right side^
-Subtract 396
-Factor or use Quadratic Formula to solve for w.

When the full roll of paper towels is unrolled, it has a length of 528 inches of paper towels. Enter the length, in inches, of the paper towels remaining on the partial roll.
Hint: Set up a proportion & cross-multiply to solve for x.

Round to the nearest whole number.

Graph the function below

Hint:

A recent study reported the probability of a driver committing a moving violation during each of the first 8 months after getting their license.
Put these drivers in order from LEAST likely to get a ticket to MOST likely

Currently you can get your license at 16 years old after having a permit for 6 months.

If there are 13,000 drivers that get their license each year in your state, how many accidents can you expect?