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
Answer: 23/12
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
Answer: 1
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?
Answer: Yes
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.
Answer:
A. Cube/Rectangular Prism
B. Sphere
C. Rectangular Pyramid
D. Cylinder
100
Does the scatter plot below represent a linear or non-linear association?
Answer: Linear
Reason:
We are able to fit a straight line to this graph easily.
100
Simplify the expression.
5^6 * 5^7
Answer: 5^13
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.
Answer: 10E3 = 10,000
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
Answer: 21 cookies
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?
Answer: No
Reason:
A function only has a single output for each input.
When X=1, we have 2 answers, 1 and 3.
200
Answer: V=314.159'
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
Answer:
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
Answer:
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
Answer: 7 kilometers
1.) Create an equation
2.) Solve for X
-> Divide by 5 to get X by itself.
300
Is the function linear or non-linear?
Answer: Linear.
Reason:
The slope is constant for the entire function.
This also follows the standard linear function shape
300
Answer: A=220
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
Answer: 0.25
400
Answer: 2ml
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
Answer: x>10
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?
Answer: Increasing
The slope is positive, so the function is increasing.
400
Identify the type of change that was made in the shape.
Answer:
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
Answer: y=5x-30
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
Answer: 4
Reason:
(-2)^2 = (-2)*(-2)
500
What is 30,000 in Scientific Notation?
Answer:
3*10^4
500
How many solutions does this equation have? 0=8x-8x
Answer: Infinitely Many Solutions
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?
Answer: Non-Linear
The function follows a basic parabola form. Parabolas are non-linear.
500
Answer: Yes, Rotate counter-clockwise
Reason:
Changing the position of a cube does not change the cube itself. This includes rotating the cube.
500
Answer: 15/114
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?
Answer: F2(x), the red line
Reason:
The slope is greater in F2(x) then F1(x).
600
Simplify the following:
(-2)^3
Answer: -8
600
When reducing to scientific notation, what is the largest whole number we should use?
Answer: 9
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
Answer: One solution
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?
Answer: (0,0)
The minimum of a parabola that opens upwards is the vertex.
Note: We only have a minimum if the parabola opens upwards.
600
Answer: 22.36
Reason:
Use the Pythagorean theorem.
a^2+b^2=c^2
600
Answer: 750 ways
Reason: We can use the multiplication principle to determine the total
50*15*50=750
600
Answer: 4 seconds
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
Answer:
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
Answer:
10*10^10
700
How many solutions does this equation have? -2j+8=-2j
Answer: No Solution
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
Answer: Linear
The function follows the basic pattern of a linear function.
y=mx+b
700
Answer: 34.64
Reason:
Use the Pythagorean Theorem.
a^2+b^2 = c^2
700
Answer:
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
Answer:
(AB)^5
800
Find a solution for
x^2=36
Answer: x=6
Take the square root of both sides:
√x^2 = √36
x=6
800
Why do we use scientific notation?
Answer:
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 
Answer: A
800
Answer: 5.657
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?
Answer: No
Reason:
For every X we are given 2 Y values.