Scientific Notation and Exponents
Pythagorean Theorem
Functions Misc.
Linear Equations and Inequalities
Systems of Linear Equations and Inequalities
100
Rewrite 35,800 in Scientific Notation.
What is
3.58times10^4
100
What is the formula for Pythagorean Theorem?
What is
a^2+b^2=c^2
100
In order to a be a function, what can not repeat?
What is the input or x value?
100
What is the slope and y-intercept of the following equation:
y=4x+12
What is the slope is 4 and the y-intercept is 12?
100
Identify the solution to the following system of equations:
What is
(1,3)
200
Write in expanded form:
4.35times10^-5
What is 0.00435
200
Find the missing length:
What is c=13?
200
Is this a function? Explain why or why not.
Yes, because each input goes to one output.
The x values do not repeat (remember the y values or outputs can repeat!)
200
Cam wants to join a gym. The fee to sign up is $50, and the monthly rate is $45. Write a linear function to represent his gym fee using c for cost and m for the months.
What is
c=45m+50
200
Solve the following system of equations using substitution:
{(y=3),(2x+y=13):}
What is
(5,3)
300
Solve:
(3.2times10^4)times(2.5times10^3)
8times10^7
300
Is this triangle a right triangle? Show your work.
What is: Yes because
10^2+24^2=26^2
300
Using the function below, solve for f(4).
f(x)=2x^3-x^2
What is 112?
300
Sketch the following inequality:
y<=2x+1
300
Is the point on the graph a solution to the system of inequalities? Yes or no.
What is
no
400
Simplify using rules of exponents:
(2^3)^-4/2^4
What is
1/2^16
400
Jaylen wanted to wash his office window which is 15 feet off the ground. He has a ladder that is 20 feet long. How far should he place the base of the ladder away from the building? Round to the nearest tenth.
What is 13.2 feet way from the building.
400
Give a time interval when the given functions rate of change remained constant:
What is between 35 and 45 minutes into the soccer match?
400
You are attending a rock concert. You have $150 to spend on merchandise at the show. Band t-shirts, x, are $40 a piece and posters, y, are $15.
Write an inequality showing how many shirts and posters you could buy to stay within budget.
What is
150>=40x+15y
400
Solve the following system of equations using elimination:
{(3x+5y=41),(3x-2y=-8):}
What is
(2,7)
500
Simplify using rules of exponents:
(5^6cdot5^2)/5^4
What is
5^4
500
Determine the exact length between the line segment between (-4,5) and (6,-1). Round to the nearest tenth.
Hint: Make a right triangle!
What is 11.7 units
500
Katie is playing catch with her dog. Her dog starts at the edge of the dog park, about 30 feet away from Katie. The dog starts to run towards Katie, but after 3 seconds, stops the distance halfway to Katie in order to stare at the ball. The dog waits for 6 seconds, then walks the rest of the distance towards Katie. The dog has reached Katie and the ball after 15 seconds.
Sketch the relationship between the dog's distance from Katie and time. Make sure to properly label the x and y axis.
Responses may vary. Please see example response.
500
Write an inequality that matches the following graph:
What is
y<3x+2
500
A rock band is trying to come up with their setlist for their upcoming tour. Their set can be no more than 180 minutes long and they want to play a combination of 2-minute songs, x, and 3-minute songs, y.
Additionally, the band has only 65 songs to choose from.
Write a system of inequalities representing the combination of 2-minute songs, x, and 3-minute songs, y, the rock band can play during their concert.
What is
{(2x+3y<=180),(x+y<=65):}