PTQ: Math Flashcards
What are the solutions to the equation x^2 − 4x = 12?
x = 6 and x = -2
You can choose from 3 types of fruits, 2 types of nuts, and 2 types of syrup. How many different fruit salads can you make using one type of fruit, one type of nut, and one type of syrup?
12
When rolling a fair six-sided number cube, what is the probability of rolling an even number?
50%
What is the median of this data set?
4 | 1 5 7
5 | 2 3 8 9
6 | 0 6
7 | 1 4
58
A fair six-sided number cube is rolled 60 times, and the number 5 appears 10 times. What is the theoretical probability of rolling a 5?
1/6
Set A: 65%, 70%, 75%, 80%, 85%
Set B: 60%, 65%, 70%, 75%, 90%
Set C: 55%, 60%, 65%, 70%, 95%
Which set has the highest average score?
Set A
How many different ways can 10 people be chosen for 1st, 2nd, 3rd, and 4th place in a contest?
5040
A six-sided number cube is rolled 60 times, resulting in the number 5 appearing 15 times. What is the experimental probability of rolling a 5?
25%
What is the result of the union of the sets {4, 5, 6} and {6, 7, 8}?
{4, 5, 6, 7, 8}
What is the probability of winning a game if you need to roll a 5 on a six-sided number cube and draw a queen from a standard deck of cards?
1/78
Solve for y: −3y + 6 ≥ 9
y ≤ -1
Choose the prime numbers from this list: 29, 30, 31, 32, 33, 34, 35.
29, 31
What is the probability of drawing two aces from a deck of cards sequentially without replacing the first ace drawn?
1/221
Order the following numbers from smallest to largest: 3/8, 0.75, 7/25, -0.32.
-.32, 7/25, 3/8. .75
What is the probability of drawing either an ace or a 10 from a standard deck of cards?
2/13
Solve 5! − 3!
114
Identify the next term in the geometric sequence 2, 6, 18, 54, …?
162
Find the slope of the line passing through the points (2, 1) and (6, 5).
1
Factor: 4x^3 − 8x^2 − 60x
4x(x - 5)(x + 3)
What is the result of x^−3 based on the rules for exponents?
1/x^3
A survey asked ten people to choose their favorite season. The responses were: Winter, Winter, Spring, Summer, Summer, Summer, Fall, Fall, Fall, Fall. What is the mode of these responses?
Fall
How many different groups of four students can be formed from a class of twelve students?
495
Express algebraically: “seven decreased by two times y.”
7 - 2y
Solve for x: 6x − 2 = 2x + 10.
x = 3
A bookstore recorded its daily sales of books for a week as follows: 24, 30, 18, 35, 29, 41, and 50. What is the range of daily book sales?
32
Add: (3x^2 − 4y) + 3(2x^2 − 5y)
9x^2 - 19y
What is the greatest common factor of 18 and 27?
9
If it takes 3 cups of flour to make 36 pancakes, how many pancakes can be made with 4 cups?
48
Evaluate x^2 − 2x − 8 for x = 4.
0
Consider the following set of ages: 18, 21, 35, 42, 25, 19, 20, and 33. What is the median age?
23
