Slope
What is the formula for slope?
(y2 - y1) / (x2 - x1)
What is the hypotenuse of an obtuse triangle with legs of 3 units and 7 units?
Nonexistent
A student says that ⅔ is an irrational number because it never terminates. Are they correct, and why or why not?
Incorrect because an irrational number must also have a distinct infinite pattern; cannot be expressed as a fraction.
For the function f(x) = 2.5x + 4, what will f(x) equal when x equals 5?
16.5
A die is rolled and a coin is flipped. What is the probability that the coin will land on heads and the die lands on a four?
1/12
Why is the y-intercept relevant in slope equations?
Displays the slope’s initial point and where the line will be oriented on the graph.
What is the pythagorean theorem on a coordinate grid called?
Distance Formula
What is the square root of -25?
Nonexistent or 5i
A hot air balloon begins its ascension for three minutes, reaching its culminating height of 75 feet in the air before descending the next five minutes. What is the range of this function?
0-75
You shuffle a full deck of cards and inspect the top card of the deck. What is the probability that the card will be of a spade suit and a face card?
3/52
The slope of a line is 4/3 and crosses the coordinates (3, 8) on a grid. What is its slope intercept form?
y = 4/3x - 20/3
A right triangle has legs of 18 units and 24 units. What is its hypotenuse?
30 units
List the numbers in order from least to greatest from these unorganized numbers: 7/3, √32, 3π, 87/21, 14.5
7/3, 87/21, √32, 3π, 14.5
Write a system displaying the information from the graph below:
...
A spinner is spun with three sides, a card of a random suit is dealt and a gumball is plucked from a jar of five. What is the sample space of all these events?
60
A hiker is traversing up an eight-mile mountain. The hiker ascends at a rate of two miles for the first four miles before resting for an hour and expediting the final four miles at a rate of one and a half miles. Display what the graph should look like.
...
One leg has a length of 12 inches and its hypotenuse is 13 inches. What is the length of the other leg?
5 inches
Where does -12 fall on the number system? *HINT: Natural, whole, integers, rational, irrational*
Integers
What is the turning point on a quadratic graph called?
Vertex
In a bowl that contains one red marble, one blue and two green marbles, the bowl is shaken and two marbles are taken out. Knowing that one of the marbles was green, what is the probability that the other is green? *HINT: Both green marbles are distinct*
1/5
y = 4x + 4 and 4x - y = -4
Find x. (Bottom corners are right angles, double if radicalized)
√48 or 4√3
What is the radicalized solution of this number?: √125
5√5
Between a linear, exponential and quadratic function, which one will progress the fastest?
Exponential
You have to select between three doors to decide which door has the car. You pick a door and the host, knowing which door the car is in, opens one of the doors you have not selected to reveal a goat. Should you stay or should you switch?
Switch; Because the host knows where the car is located, the odds of the two doors having the car remain at 2/3 and only the open door’s chance is reduced to 0.