Number Sense
Computation
Algebra
Functions
Geometry and Measurement
DATA ANALYSIS, STATISTICS, AND PROBABILITY
Random
100

Is 7/8 rational or irrational?

7/8 becomes 0.875 as a decimal.
The decimal ends so it is rational.

100 Add up all of the fractions by getting like denominators.
If the denominators aren't the same, then we can multiply to get them the same. For example

6(1/2)+4*(2/3)+3(3/4) = (6/12)+(8/12)+(9/12)

100

Solve the following equation:
3(c+2)=9

1.) Distribute the 3 through the parentheses:

3(c+2)=9 -> 3c+6=9

2.) Subtract the 6 from both sides:

3c+6=9 -> 3c=3

3.) Divide the three through on both sides to get c by itself

3c=3 -> c=1

c=1

100

Does the following set of points represent a function? Reason:
A function always has a single output for each input
Each of our X positions only has one output, Y

100

Give the name for each 3D object. A. Cube/Rectangular Prism

B. Sphere

C. Rectangular Pyramid

D. Cylinder

100

Does the scatter plot below represent a linear or non-linear association? Reason:

We are able to fit a straight line to this graph easily.

100

Simplify the expression.

5^6 * 5^7

Reason: For exponents that have the same base, we can add the exponents together and keep the bottom the same and add the exponents.

200

Is 1/3 rational or irrational?

1/3 becomes 0.333333...
The decimal doesn't end, but it repeats.
This means that it is rational.

200

Convert 10E3 to expanded form.

E is a calculator's way of representing

10^X

also known as scientific notation. For example,

10*10^3=10*1000=10,000

200 1.) Create an Equation

0.50*X+10.00=20.50

2.) Try to get X by itself
-> Subtract 10 from both sides
-> Divide both sides by 0.50

200

Does the following set of points represent a function? Reason:
A function only has a single output for each input.
When X=1, we have 2 answers, 1 and 3.

200 Reason:

We can find from the picture,

h=3 and r=10

We can plug the variables into the formula

The formula for the volume of a cone is:

V=pi*r^2*(h/3)

200

Fit the trend line for each graph.  200 Answer: Yes, Rotate counter-clockwise and dilate bigger.

Reason:

We can change the size and location of the system and while it isn't the same cube it can be similar.

300

Give a rational approximation for √32

5^2 < sqrt32 < 6^2

Remember, we are looking for something that when multiplied by itself gets us to 32 because when we take the square root of 32 we will get that number back.

However, we can't get it directly because √32 isn't rational, but we can approximate it by finding the number right above and below it.

300

Convert 5000 to scientific notation

5*10^3

or 5E3The goal of scientific notation is to get the number below 10.

Breaking it up it's

5 and 1000= 5*10^3

300 1.) Create an equation

2.) Solve for X
-> Divide by 5 to get X by itself.

300

Is the function linear or non-linear? Reason:
The slope is constant for the entire function.
This also follows the standard linear function shape

300 Reason:

We want to follow the formula for the surface area.

A=2*(wl+hl+hw)

300

Find the equation of the trend line of the graph below. y=\frac{1}{4}x+1

300

Match the 3D model to the slices on the right  400

Convert the following to a decimal.
1/4

400 Chemical 1 + Chemical 2 + Chemical 3 = Total 3x10^-3 + 1x10^-3 + Y = 6x10^-3

4x10^-3 + Y =6x10^-3

Y = 6x10^-3 - 4x10^=3

Y = 2 x10^-3

Substitute

ml=10^-3

Y=2 ml

400

Solve the following inequality:
5x+50>100

1.) Subtract 50 from both sides

5x+50>100 -> 5x>50

2.) Divide by 5 to get x by itself

5x>50 -> x>10

400

Is this function increasing or decreasing? The slope is positive, so the function is increasing.

400

Identify the type of change that was made in the shape. 1.) Rotation

2.) Horizontal Translation

3.) Horizontal Reflection

400

Rosie does two experiments and wants to determine if they're dependent or independent.

Determine independence or dependence of the experiments  400 Reason:

Each ticket is 5 dollars, but we want the total. To get this, we can multiply 5 by the number of tickets sold, X.

This gives us the total money we are making from tickets, but we also are losing money from rent. We have to subtract 30 to get the total profit.

500

Simplify the following

(-2)^2

Reason:

(-2)^2 = (-2)*(-2)

500

What is 30,000 in Scientific Notation?

3*10^4

500

How many solutions does this equation have? 0=8x-8x

Reason:
8x-8x = 0, Meaning we have 0=0
This means X can be anything we want it to be and not change the outcome.

For Example:

x=4, 84-84=0
x=5, 85-85=0

This pattern continues for any value of x.

500

Is the function linear or non-linear? The function follows a basic parabola form. Parabolas are non-linear.

500 Reason:

Changing the position of a cube does not change the cube itself. This includes rotating the cube.

500 Reason:

Before we draw the first bundle, we have 115 total and there are 15 blue bundles.

After we draw the red bundle, we still have 15 blue bundles, but we now only have 114 pencils.

Remember that the probability is

P= (Amount of single item) / (Amount of total)

500

Both lines represent 2 cars. Which car is moving faster? Reason:

The slope is greater in F2(x) then F1(x).

600

Simplify the following:

(-2)^3

600

When reducing to scientific notation, what is the largest whole number we should use?

The goal is to get the number as easy to write as possible. This means we should make it less than 10

600

How many solutions does this equation have?

-2n=10-n

Reason:
When we solve, we end with n = -10

-10 is the only answer we can have, so we have one solution.

600

What is the minimum of the function? The minimum of a parabola that opens upwards is the vertex.

Note: We only have a minimum if the parabola opens upwards.

600 Reason:

Use the Pythagorean theorem.

a^2+b^2=c^2

600 Reason: We can use the multiplication principle to determine the total

50*15*50=750

600 Reason:

The point they meet in person is the same as where they meet on the graph

700

Simplify the expression

4^4 * 4^5

4^9

When we have the same base, we can leave the base the same and add the exponents together.
Here we have, 4 so 4 stays the same and 4+5=9

700

What is another way to write 10E10

10*10^10

700

How many solutions does this equation have? -2j+8=-2j

Reason:
-2j is on both sides, so they cancel out
We don't have anything to solve for!

700

Is the following function linear or non-linear? 3x+5=y

The function follows the basic pattern of a linear function.

y=mx+b

700 Reason:

Use the Pythagorean Theorem.

a^2+b^2 = c^2

700 S=[ HH, HT, TH, TT ]

Reason:

The sample space is the set of all of the possible outcomes of the experiment.

700

Simplify the expression:

A^5 * B^5

(AB)^5

800

Find a solution for

x^2=36

Take the square root of both sides:

√x^2 = √36

x=6

800

Why do we use scientific notation?

We convert to scientific notation to make it easier to write large numbers.

800

Fill in the number to make the equation have One Solution.

___X-5X=10

Answer: Any number that is not 5!

800

Which of the following is the graph for the function: y=x+3 800 Reason:

Find the sides we know by finding BC and BA.

Then, find AC by plugging it into the Pythagorean Theorem.

C^2=A^2+B^2

800  800

Is the following a function? 