| Probability |
| #1 |
How many options do you have if you have 3 shirts and 4 pants? |
Using the counting principal (3 x 4 = 12) |
| #2 |
A spinner with 6 equal sections. What is the probability of spinning a 3, 4 or 6? |
3/6 = 1/2 = 50% |
| #3 |
A gumball machine has 10 blue and 8 red gumballs. What type of an even would it be to find the probability of getting a red then a blue? |
This is a dependent event |
| #4 |
A gumball machine has 10 blue and 8 red gumballs. What is the probability of getting a red then a blue? |
8/18 x 10/17 = 80/306=40/153=26% |
| #5 |
Evaluate a permutation of 6P4. |
30/2 = 15 |
| Geometry |
| #1 |
Describe the movements for a rotation, translation, and reflection. |
turn, slide, flip |
| #2 |
A circle has and area of 153.86 square inches what is the radius? |
7 inches (use the formula and work backward) |
| #3 |
A rectangular prism has a volume of 60 square cm and the base shape is 3 cm by 4 cm what is it's height? |
5 cm |
| #4 |
What type of triangle is the Pythagorean Theorem used for? |
if a squared + b squared = c squared then it is a right triangle |
| #5 |
What is the area of a trapezoid that has one base of 5, another of 7 and a perpendicular height of 10?(cm) |
60 square centimeters (use the formula) |
| Decimal/fraction/percent relationships and angles |
| #1 |
When converting a fraction to a decimal what do you have to do? |
Divide the numerator by the denominator |
| #2 |
How do you convert a decimal to a percent? |
Multiply by 100 or move the decimal 2 places to the right. |
| #3 |
If a soccer jersey costs $75 and it is marked up by 130% what is the new sales price |
130% of 75 = $97.5 so the new price is $75 + $97.50 = $172.50. |
| #4 |
A triangle with 3 acute angles is what type of triangle? |
acute triangle |
| #5 |
Using the triangle sum theorem find the value of x if the angles are 52, 63 and (x-70). |
x = 135 (use algebra) sum of all angles =180 |
| midpoint, distance, pythagorean theorem and radials |
| #1 |
Approximate the square root of 172 |
the square root of 172 is approximately 13 |
| #2 |
Simplify the square root of (200/36n^2) |
(10 square root of 2)/(6 n) simplified = (5 square root of 2)/(3n) |
| #3 |
What is the midpoint between (5,3) and (-2,1)? |
(3/2 , 2) |
| #4 |
What is the distance between (5,3) and (-2,1)? |
square root of 53 |
| #5 |
Using the pythagoren theorem what is the value of c? a=4 and b =8 (in simplest form) |
4square root of 5 |
| Functions and systems of equations |
| #1 |
Is x=9 a functon of x? |
No, because this would be a vertical line which means it would not pass the vertical line test |
| #2 |
What is f(x) = -2 +3x when x=5? |
f(5) = 13 |
| #3 |
What are two tools you can use to check to see if a relation is a function? |
Mapping Diagram and the vertical line test |
| #4 |
What is the slope and y intercept of 3y = 4x +9? |
Conver to the slope intercept form. Slope = 3/4 and y-intercept is 3 |
| #5 |
What is the solution of the system of equations: y=4x + 3 and y =-2x-9 |
(-2,-5) |
